ORELA II - MATH 50%

For the most part, humans use which number system? A. Base five B. Base four C. Base ten D. Base two

C. Base ten

5 < x <= 8 means what? A. Only values 8 or less, and at least 5, are possible solutions. B. Only values below 5 and above 8 are solutions. C. Only values more than 5 and less than 8 are possible solutions. D. Only values 8 or less, but above 5, are possible solutions.

Only values 8 or less, but above 5, are possible solutions. The first part (5 < x) means that the solution has to be above 5 (but can't be exactly 5). The second part (x <= 8) means the solution must be 8 or lower (and can be exactly 8).

What does the word 'percent' mean? A. A fraction of one B. None of the answers are true. C. A part of the whole. D. All of the answers are true. E. Per 100

Per 100

At Al's Pizza, 57% of the orders included pepperoni pizza. At World's Best Pizza, 11 out of 19 orders included pepperoni pizza. Convert 11/19 to a percent and state at which restaurant did pepperoni pizzas make up a greater percentage of the pizzas sold? A. 57.9%, Al's Pizza B. 59%, World's Best Pizza C. None of the answers are correct. D. 59%, Al's Pizza E. 57.9%, World's Best Pizza

57.9%, World's Best Pizza 11 / 19 = .579 (rounded) .579 X 100= 57.9 .579 = 57.9% Because 57.9% is greater than 57%, we know that World's Best Pizza sell a greater percentage of pepperoni pizzas.

At a birthday party, there are 7 boys and 5 girls. What percent of the kids are boys, rounding to the nearest tenth of a percent? A. 71.4% B. 58.3% C. 41.6% D. 41.7% E. 58.4%

58.3% First, find the total number of kids by adding the boys and girls together. 7+5=12 12 / 7 (boys) = 0.583 Move the decimal point to change the decimal into a percentage. 0.583 = 58.3%

Which of the following keeps this equation the same? 5x = 15 A. 5x/5 = 15 B. 5x/3 = 15/5 C. 5x/1 = 15/2 D. 5x/2 = 15/5 E. 5x/5 = 15/5

5x/5 = 15/5 needs to be divided by the same

Which of the following exponential expressions is equal to this exponential expression? X^2/5 A. 5√x^2 B. x^2/x^5 C. 2/5√x D. 2√x^5

5√x^2 Here, the x is raised to the 2nd power and then a 5th root is taken.

Evaluate 3a^2 + 2b when a = -4 and b = 6. A. 156 B. 36 C. 60 D. 144 E. 48

60 Plugging in -4 for a and 6 for b, you get 3(-4)^2 + 2(6) = 3(16) + 12 = 60. Note: You are squaring (-4) not the negative of four squared -(4)^2. (-4)^2 is 16 but -(4)^2 is -16

Which of the following is an example of an inequality? A. 60 + 2x = 120 B. 60 + |-3| = 63 C. 60 - 2(15) = 130 D. 60 + 2x < 120

60 + 2x < 120 Inequalities always have an inequality sign instead of an equal sign.

Edie has purchased 12 3/4 feet of fabric so that she can make some rag dolls. According to the pattern, each doll requires a piece of fabric that measures 1 2/3 feet long. How many COMPLETE dolls can Edie make? A. 7 B. 7 13/20 C. 8 9/16 D. 8

7

Convert 45/6 into a mixed fraction. A. 7 and 1/6 B. 8 and 3/6 C. 7 and 3/6 D. 8 and 1/2

7 and 3/6

What is the result of (3.4 x 10^15) x (2.1 x 10^4)? A. 7.14 x 10^19 B, 5.5 x 10^60 C. 7.14 x 10^60 D. 5.5 x 10^19

7.14 x 10^19 multiply the digits together (3.4x2.1) then add the exponents (15+4)

Write 7,500,000 in scientific notation. A. 7.5 x 10^6 B. 7.5 x 10^-6 C. 7.5 x 10^7 D. 7.5 x 10^5

7.5 x 10^6

5/6 + 11/12 Express your answer as a simplified fraction. A. 3/5 B. 20/12 C. 7/4 D. 21/12 E. 5/3

7/4 5/6 + 11/12 = 10/12 + 11/12 = 21/12 = 1 3/4, or 7/4

10/9 - 1/3 A. 1/3 B. 7/9 C. 2/9 D. 8/9 E. 1/2

7/9

A soccer team played 47 games and won 33. Rounding to the nearest whole number, what percent of its games did the team win? A. 60% B. 41% C. 30% D. 65% E. 70%

70% 33 /47 = .70 .70 = 70%

Convert 28.4% to a fraction A. 284/100 B. 71/1000 C. 284/500 D. 71/250

71/250 28.4% as a fraction is 28.4/100. Getting rid of the decimal, you get 284/1000. Simplifying, you get 142/500. Simplifying even further, you get 71/250.

Which of the following is equivalent to the following expression? X^5/7 A. 5√(x)^7 B. 7√x^5 C. √(5x)^7 D. 5x^7 E. 5√x^7

7√x^5 The denominator in the rational exponent gives the root. The numerator in the rational exponent denotes what power the number or variable is raised to. Here, the x is raised to the 5th power and then the 7th root is taken.

How many pieces of 4.5-inch-long wood can you get from a 36-inch-long piece of wood? A. 8 B. 10 C. 9 D. 7

8

Rearrange the following expression using the commutative property: -3 * 2 * 8 A. -8 * 3 * 2 B. 8 * -3 * 2 C. -6 * 8 D. 3 * -2 * 8

8 * -3 * 2 Order doesn't matter as long as the values are still the same

Amy, Barry and Carter are building a fence. Together, it takes them 4 hours. If Amy worked alone, it would take her 14 hours. If Carter worked alone, it would take him 16 hours. Rounded to the nearest hour, how long would it take Barry to build the fence alone? A. 12 hours B. 17 hours C. 8 hours D. 9 hours E. 13 hours

8 hours Using the formula, you get 1/14 + 1/16 + 1/B = 1/4. Solving for B, you get this. 8/112 + 7/112 + 1/B = 28/112 15/112 + 1/B = 28/112 1/B = 13/112 112 = 13B B = 8.6

In the division problem 0.86 / 0.02, what would be the new dividend once you move the decimal as needed? A. 2 B. 8.6 C. 86 D. 0.2

8.6

Which of these pairs of fractions are equivalent? A. 7/9, 28/18 B. 4/5, 2/3 C. 8/12, 2/3 D. 8/9, 16/27

8/12, 2/3

Which of these is part of the definition of percentage? A. A part of a whole B. Per hundred C. A discount D. An increase A. A and B B. A C. C D. D E. B

A and B A percentage, or percent, is a part of a whole per hundred, so answers A and B are correct. Percentage literally means 'per hundred;' you can also think of it as part of a whole. 100% is a whole of something.

Find the FALSE statement. A. When two inequalities are joined by the word 'or', the solution is any value that works in one inequality or the other (or both). B. A compound inequality must be joined by the word 'or.' C. When two inequalities are joined by the word 'and', the solution is any value that works in BOTH inequalities. D. A compound inequality is the combination of two or more inequalities.

A compound inequality must be joined by the word 'or.'

Put these fractions in order from GREATEST to LEAST: 3/8, 4/10, 5/9 A. 5/9, 4/10, 3/8 B. 3/8, 5/9, 4/10 C. 3/8, 4/10, 5/9 D. 4/10, 5/9, 3/8

A. 5/9, 4/10, 3/8

Solve 436+79 A. 515 B. 405 C. 415 D. 505

A. 515

Which of the following is a composite number? A. 9 B. 1 C. 3 D. 5 E. 11

A. 9

Please divide 312÷3= A. 102 B. 104 C. 41 D. 14 E. 16

B. 104

Which of these is NOT a step in the process of multiplying decimals? A. ALL of these are correct steps. B. Figuring out the number of digits before the decimal points in the numbers being multiplied C. Completing the multiplication while ignoring the decimal D. Placing the same number of digits behind the decimal point in the product

Completing the multiplication while ignoring the decimal

To subtract 8643 - 971, which of the following is correct? A. Borrow from the 6 and the 4. B. Borrow only from the 6. C. Borrow from the 8, the 6 and the 4. D. Borrow from the 8 and the 6.

D. Borrow from the 8 and the 6.

Which of the following is the formula for the commutative property of addition? A. a + a = b + b B. a + c = b + c C. a + b = c + b D. a + b = b + a E. a + b = b + c

D. a + b = b + a

Which of the following is the formula for the multiplication property of equality? A. If a = b, then a + c = b + c. B. If a = b, then a + c = bc. C. If a = b, then b = c. D. If a = b, then a ∗ c = b ∗ c. E. If a = b, then a = c.

If a = b, then a ∗ c = b ∗ c.

Given the function below, evaluate g(7). g(x) = 2x-1 A. g(7)=6 B. g(7)=15 C. g(7)=13 D. g(7)=14X-7 E. g(7)=7X-1

Here, g(x) represents the function of x in the equation 2x - 1. By putting 7 in the equation, we get 13; therefore, the function of 7 equals 13.

Which number is the greatest? A. -1/2 B. -3/2 C. -10 D. -1 E. -5

-1/2

Evaluate 3c^3 - 7d when c = -4 and d = 6 A. 22 B. 150 C. -150 D. -86 E. -234

-234 Plugging in -4 for c and 6 for d and evaluating, you get 3(-4)^3 - 7(6) = 3(-64) - 42 = -192 - 42 = -234.

Evaluate the expression when x = -1 and y = 4. Please give your answer in its most reduced form x-2y ÷ y-2x A. 7/6 B. -7/2 C. 3/2 D. 7/2 E. -3/2

-3/2 (- 1 - 2(4)) / (4 - 2 (-1)) (- 1 - 8) / (4 + 2) = -9/6 = -3/2

Simplify: ((5x + 2x) - (4x - 3x)) - ((8x + 4x) - 2x) A. -10x B. 5x C. -4x D. -5x

-4X This one has a lot of parentheses, so working from the inside parentheses out, you get this: ((5x + 2x) - (4x - 3x)) - ((8x + 4x) - 2x) (7x - x) - (12x - 2x) 6x - 10x = -4x

Estimate 4.789 + 3.123 - 12.876. A. 3 B. -4 C. 0 D. -3 E. -5

-5

A pair of shoes is on sale for $96. If the shoes are on sale for 20% off, what was the original price? A. $80 B. $120 C. $102 D. $100 E. $480

$120 Explanation If the shoes are 20% off that means you pay 80% of the original price. 80% is the same as 80/100. The proportion looks like this: 80/100 = 96/x x = 120

Sam works at a used car dealership, where he earns 7% commission on each sale. If he sells a car for $12,000 and another for $17,500, how much commission does Sam earn? A. $1225 B. $385 C. $2030 D. $840 E. $2065

$2065 Find 7% of $12,000 .07 X 12,000 = $840 Find 7% of $17,500 .07 X 17,500=$1,225 $840 + $1,225 = $2065 commission earned

A shirt was originally $35 and is now 25% off. What is the sale price? A. $32.75 B. $22.75 C. $16.25 D. $26.25 E. $8.75

$26.25 irst, let's convert 25% to a decimal. Drop the sign and move the decimal point two places to the left. So it becomes 0.25. Now we can multiply .25 times the whole $35. That gets us a discount of $8.75. The original price of $35 minus $8.75 gives us sale price of $26.25.

You go out to dinner and the bill is $19.38. You want to leave the server a 19% tip. How much money will you leave as a tip? A. $3.68 B. $5.40 C. $6.00 D. $0.55 E. $5.00

$3.68 First, converting the percentage to a decimal, you get 0.19. Now, you can multiply the amount by this decimal to get 19.38 * 0.19 = 3.68.

You have $40.00. The jeans you want to buy cost $37.99 and sales tax is 8.5%. How much will the jeans cost including tax, and do you have enough money to get them? A. $34.76, yes B. $41.22, yes C. $41.22, no D. $37.99, yes E. $3.23, yes

$41.22 no To solve this problem, you can either calculate the sales tax and add it or you can add 100% to the 8.5% since your final price will be 108.5% of your cost. Turning the 108.5% into a decimal, you 1.085. Multiplying this with 37.99, you get 41.22. This is over the $40 that you have, so this means, you don't have enough money to buy this pair of jeans.

Which set of ordered pairs is NOT a function? A. (1,2)(3,5)(7,9) B. (1,2)(2,6)(1,5) C. (1,2)(3,2)(7,5) D. (5,2)(7,6)(2,1)

(1,2)(2,6)(1,5) can't have same x input

An algebra class normally has y students, but today it is just 2/3 full. Express the number of students in class today in terms of y. A. (2/3) / y B. y - 2/3 C. 2/3 - y D. y / (2/3) E. (2/3)y

(2/3)y To figure out how many students are in class today, you multiply the ratio with the number of students enrolled in the class.

Rearrange the following expression using the associative property: 3(4 * 5) A. 5(4 * 3) B. 15 * 4 C. (3 * 4) * 5 D. 3(5 * 4)

(3 * 4) * 5

Which of the following would require the use of the 'power to a power' rule for exponents? A. r^3x r^3 B. (r÷t)^3 C. r^3÷ r^2 D. ( rt)^3 E. (r^3)^2

(r^3)^2 The power to a power means we have a power that is then raised to another power: (r^3)^2.

Convert 7.5% into a decimal. A. 0.75 B. 0.0075 C. 7.5 D. 0.075

0.075 Dividing by 100 and leaving out the percentage sign, you get 0.075.

What is the quotient of 0.166 / 0.83? A. 2 B. 0.2 C. 0.02 D. 0.002

0.2

Which of the following is the formula for the division property of equality. A. If a = b, then a/b = b/c. B. If a = b, then a + c = b. C. If a = b, then a/c = b/c. D. If a = b, then a + c = b + c. E. If a = b, then ac = bc.

If a = b, then a/c = b/c. In math, we have a formula that tells us this: if a = b, then a / c = b / c. This is saying that if we begin with two same size pies, then if we divide one pie a certain way, then the only way to keep the two pies identical is to divide the other pie in the same way.

Estimate the product of 6.8 x 2.081. A. 10 B. 20 C. 18 D. 14 E. 12

14

Identify the coefficient(s) in this equation: 14x + 3y = 72. A. 14 and 3 B. 3 C. 72 D. 14, 3, and 72 E. 14

14 and 3 A coefficient is a number that multiplies a variable. In the above equation, 14 is a coefficient (it multiplies the variable x), as is 3 (which multiplies the variable y).

Round 14.52689 to three decimal places. A. 14.532 B. 14.528 C. 14.53 D. 14.526 E. 14.527

14.527

Which of the following is an example of a unit rate? A. 24 players/2 teams B. 17 miles/3 hours C. 15 slices/1 loaf D. 5 push-ups/30 seconds E. 1200 bees/4 hives

15 slice/1 loaf A unit rate is one where the denominator is 1.

Calvin has twice as many dimes as nickels. If he has a total of $4, how many nickels does he have? A. 10 B. 24 C. 16 D. 80 E. 32

16 nickels = number of nickels, 2x = number of dimes 0.05x + 0.10(2x) = 4 Substitute the first equation into the second equation: 0.05x + 0.20x = 4 0.25x = 4 x = 16 nickels (and dimes = 32)

Convert 4/25 into a percent. A. 1.6% B. 3.2% C. 16% D. 32% E. 8%

16% 4 / 25 = 0.16 0.16 X 100 = 16 0.16 = 16%

The price of an airline ticket rose from $300 to $350. What is the percent increase, rounded to the nearest whole number? A. 17% B. 86% C. 14% D. 16% E. 85%

17% Before we can find the percent increase, we need to find the change in dollars. 350 - 300 is 50. So the airline is charging $50 more. We can find the percent with a little division. To find percent change, divide the absolute change by the original. This works for increases or decreases. Here, our original price is 300, and our difference is 50. So now take 50 divided by 300 which is .17 when rounded.

Convert 68% to a fraction A. 68/10 B. 17/25 C. None of the answers are correct. D. 16/50 E. 34/25

17/25 68% as a fraction is 68/100. Simplifying, you get 17/25.

(17/15)*(5/3) A. 2/3 B. 15/17 C. 17/9 D. 17/16 E. 17/15

17/9 (17/15)*(5/3) = 85/45 = 17/9

Convert 1.763 x 10^2 to standard notation. A. 17.63 B. None of the answers are correct. C. 176300 D. 1763 E. 176.3

176.3 An exponent of 2 means the decimal moves 2 spaces to the right, so 176.3.

If you napped for 1 1/6 hours on Monday and 2 1/2 times as long on Tuesday, then how long was Tuesday's nap? A. 2 11/12 hours B. 2 1/12 hours C. 1 1/2 hours D. 2 1/2 hours

2 11/12 hours

Identify the constant(s) in this equation: 7x + 2 = 33. A. 7 B. 7, 2, and 33 C. 7 and 2 D. 2 and 33 E. 33

2 and 33 A constant is a fixed quantity that cannot change. It's constant. The constants in the above equation are 2 and 33.

Convert 0.00028 to scientific notation. A. None of the answers are correct. B. 2.8 x 10^4 C. 2.8 x 10^-4 D. 000028 x 10^-4 E. 28 x 10^-5

2.8X10^-4 Moving the decimal to right after the first non-zero digit, you have to move it 4 spaces to the right, so 2.8 x 10^-4.

What is 5/6 * 4/5? A. 1 19/30 B. 2/3 C. 30/49 D. 1 1/24

2/3

If 3/5 of people have one pet and 2/3 of those pets are cats, then what fraction of the people have a cat? A. 2/5 B. 2/3 C. 1/3 D. 5/8

2/5

Two trains meet each other in Treeport. One train comes from the east two hours away. The other train comes from the west three hours away. If both trains are 120 miles away, how much faster is the faster train traveling? A. 40 miles per hour faster B. 60 miles per hour faster C. 20 miles per hour faster D. 10 miles per hour faster E. 30 miles per hour faster

20mph 120/2 = 60 miles per hour for one train 120/3 = 40 miles per hour for the other train 60 - 40 = 20 miles per hour faster

Jennifer has three more dimes than nickels and three times as many quarters as nickels. If she has $7.50, how many quarters does she have? A. 24 B. 8 C. 11 D. 10 E. 16

24 quarters We have three more dimes than nickels, so that's x + 3. And we have three times as many quarters as nickels, so 3x for quarters. Based on this information we have 24 quarters, 8 nickels, and 11 dimes.

Adam and Kevin are roommates. Adam can clean their apartment in 45 minutes. Kevin can clean it in 60 minutes. Rounded to the nearest minute, how much time will it take if they work together? A. 7 minutes B. 30 minutes C. 25 minutes D. 80 minutes E. 26 minutes

25minutes Using the formula, you get 1/45 + 1/60 = 1/t. Solving for t, you get this. 4/180 + 3/180 = 1/t 7/180 = 1/t 7t = 180 t = 25.7

Convert 27% to a fraction. A. 13.5/50 B. 2.7/10 C. 27/10 D. 27/100 E. None of the answers are correct.

27/100 27% is 27 per 100 so 27/100.

Please convert 5 2/5. A. 5/25 B. 5/27 C. 29/5 D. 30/5 E. 27/5

27/5

Solve 7/13÷3/4= A. 2 10/21 B. 21/52 C. 1 11/28 D. 28/39

28/39

An aquarium has 14 seals, 22 penguins and 4 sea turtles. What is the ratio of sea turtles to seals? A. 14:4 B. 22:14 C. 2:7 D. 14:22 E. 4:14:22

2:7 Remember that a ratio is a comparison. In the problem above we are comparing sea turtles to seals. We can write ratios with a colon that stands in for 'to.' So the correct answer is written 4:14, which stands for 4 sea turtles to 14 seals. 4:14 reduces to 2:7.

David is applying to adopt some pet mini-dragons. The Main Street Dragon Rescue requires that new pet owners have at least 3 1/2 square feet of yard space per EACH mini-dragon they adopt. If David has 12 1/2 square feet of yard space, then how many mini-dragons will he be allowed to adopt? (Round down to the nearest whole dragon!) A. 4 B. 5 C. 3 D. 2

3

If you multiplied 562.14 * 45.4, how many digits would there be behind the decimal in the product? A. 4 B. 2 C. 3 D. 1

3

If you have the following compound inequality: x > 5 or x < -2, which of the following values for x are NOT solutions? A. 8 B. -5 C. 3 D. 7

3 Only values that are greater than 5 or less than -2 are valid solutions. Only one of the two needs to be true if the two inequalities are joined by and 'or.'

How many different ways are there to write percentages? A. 5 B. 1 C. 4 D. 2 E. 3

3 The three ways to write your percentage are with the percentage symbol (%), in decimal form and in fraction form.

Which of the following is a mixed number? A. 4 + 1/2 B. 3.33 C. 1.5 D. 3 2/3 E. 1.12

3 2/3

Susan is making a dress. She buys 3 3/4 yards of fabric. She uses 9/10 of this piece of fabric. How many yards of the 3 3/4 yards of fabric that she bought did she actually use? A. 3 7/8 B. 3 3/8 C. 2 17/20 D. 3 1/2

3 2/8

Emily can rake her lawn in 5 hours. Andrew can rake the same lawn in 8 hours. Rounded to the nearest hour, how long will the job take if they work together? A. 1 hour B. 3 hours C. 2 hours D. 4 hours E. 5 hours

3 hours Using the formula, you get 1/5 + 1/8 = 1/t. Now solving for t, you get this. 8/40 + 5/40 = 1/t 13/40 = 1/t 13t = 40 t = 3.08

Which of the following is written in proper scientific notation? A. 0.0291 x 10^8 B. 12.6 x 10^5 C. 3.009 x 10^-4 D. 34.9823.09 x 10^1 E. 1.2385

3.009 x 10^-4 Proper scientific notation has the decimal right after the first non-zero digit followed by a multiplication by 10 to a power.

Which of the following answers is an example of continuous data? A. 1 apple B. 3.14 cm C. 10 tests D. 3 pies E. 4 zebras

3.14 cm Continuous data is data that you can measure, versus count. Therefore, 3.14 cm is continuous data because it is a measurement.

Convert 36,098,000 to scientific notation. A. 36098 x 10^2 B. 3.6 x 10^7 C. None of the answers are correct. D. 3.6098 x 10^7 E. 3.6098 x 10^-7

3.6098 * 10^7 Moving the decimal to right after the first digit, you have to move it 7 spaces to the left, so you have to multiply your new decimal by 10^7: 3.6098 * 10^7.

A model house is built to 1/8 or 0.125 of real-world size, so everything in the model house is exactly 0.125 times the size of its real-world counterpart. It has a particularly cute dining table in the kitchen area. The owner of the model house has the same cute dining table in his kitchen. His real dining table stands 30 inches tall. How tall does the table in the model house stand? A. 3.75 inches B. 12 inches C. 0.375 inches D. 240 inches

3.75 inches

3/4÷1/2 A. 3/4 B. 4/3 C. 1/3 D. 2/3 E. 3/2

3/2 Invert the second fraction and multiply: 3/4*2/1 = 3/2*1/1 = 3/2

Round 340,500 to the nearest hundred thousand. A. 200,000 B. 350,000 C. 300,000 D. 400,000 E. 450,000

300,000

Simplify the following expression using positive exponents only. 12pq^3r^3//(3p)^2r^2q^5 A. 4r/3pq^2 B. 3r/4pq^2 C. 4/3xrp^-1q^-2 D. 4rq^2/3p

4r/3pq^2 Begin by simplifying the equation and rewriting it: 12pr/9p2 q2. Simplify the expression using the like variables, leaving 4r/3pq2.

Simplify the expression: 4√y x √y^3 A. √y B. y C. 1/4√y^5 D. 3√y^2 E. 4√y^7

4√y^7 Change both expressions to have fractional exponents. Be careful! The second term is the square root of y cubed, not the cube root of y. y^(1/4) ∗(y^3)^(1/2) When you have a power to a power, multiply the exponents: y^(1/4) ∗ y^(3/2) To multiply two expressions with the same base, add the exponents: y^(1/4 + 3/2) y^(7/4) This is equal to (y^7)^(1/4) or the 4th root of y^7.

Susan purchased 9/10 of a pound of shrimp for a dinner party. Her plan is to serve 1/6 of a pound of shrimp to herself and each guest. Including herself, how many people can Susan serve at her dinner party? (Remember that you can't have a fraction of a person.) A. 6 B. 6 3/5 C. 5 D. 5 2/5

5 (because you can't purchase 2/5 of a person so round down to 5)

Which one is the largest? A. 7.8 x 10^61 B. 5.4 x 10^60 C. 5.4 x 10^64 D. 9.8 x 10^63 E. 2.3 x 10^60

5.4 x 10^64 has the highest exponent

Write 0.00057 in scientific notation. A. 5.7 x 10^-3 B. 5.7 x 10^-4 C. 5.7 x 10^-5 D. 5.7 x 10^4

5.7 x 10^-4 Place a decimal after the first non-zero digit. We have 5.7. Now, we count the number of digits away from our beginning decimal. We get 4 and its negative because we are moving to the left. So, this tells us that our power is -4. Our scientific notation, then, is 5.7 x 10^-4.

Scott has 5/6 of a pie that he wants to share equally among four of his friends. Considering that Scott will not have any pie himself, how much of the original pie will each of his friends get? A. 5/24 B. 1/6 C. 1/4 D. 1/3

5/24

1/12 + 3/4 Don't forget to simplify the fraction if needed! A. 5/6 B. 7/8 C. 11/12 D. 9/12 E. 3/4

5/6 1/12 + 3/4 = 1/12 + 9/12 = 10/12 = 5/6

At a hot wings restaurant, 5/9 of the patrons ordered the Inferno hot wings and 1/8 of those patrons passed out from the intensity of the sauce. What fraction of the total patrons passed out? A. 5/72 B. 1/12 C. 1/4 D. 1/18

5/72

23/24 - 1/3 Express your answer as a simplified fraction. A. 15/24 B. 5/8 C. 1/2 D. 22/24 E. 2/3

5/8 23/24 - 1/3 = 23/24 - 8/24 = 15/24. Simplifying 15/24, we get 5/8.

Which of the following would be true regarding the following exponential expression? 3m^7/5 A. The exponent of 3 is 7/9. B. If written in radical form, 9 would be the index. C. If written in radical form, 7 would be the index. D. The rational exponent is 9/7. E. If written in radical form, 9 would be the exponent inside the radicand.

If written in radical form, 9 would be the index. This exponential expression has a rational exponent for the m where the 9 is the index or root number.

What kinds of notes should you take? A. Any numbers mentioned in the problem. B. Anything of interest in the problem. C. The names of any people involved. D. Take random notes that make sense to you. E. Important notes that will help you solve the problem

Important notes that will help you solve the problem

x/0.125 + 0.34 < 1 A. x < 3.375 B. x < 0.254 C. x < 0.0825 D. x < 2.125 E. x < 1.25

X<0.0825 x/0.125 + 0.34 < 1 x/0.125 + 0.34 - 0.34 < 1 - 0.34 x/0.125 < 0.66 (x/0.125)*0.125 < 0.66*0.125 x = 0.0825

x - 0.8345 > 9.923 A. x > 8.8 B. x > 9.75 C. x > 11 D. x > 10.9 E. x > 10.7575

X>10.7575 x - 0.8345 > 9.923 x - 0.8345 + 0.8345 > 9.923 + 0.8345 x > 10.7575

Simplify using ONLY positive exponents. (x^2/x^5)^0 A. x^-7 B. 1/x^7 C. x^7 D. 0 E. 1

X^-7 Any number or letter raised to the zero exponent is always 1

Can we form a triangle with line segments that have lengths of 5, 6, and 9 units? A. Yes, because you can create a triangle with any three line segments. B. No, because the line segments don't satisfy the triangle inequality theorem. C. No, because a triangle requires four line segments. D. Yes, because none of the lengths of line segments are longer than the lengths of the other two line segments combined.

Yes, because none of the lengths of line segments are longer than the lengths of the other two line segments combined.

Which of the following is the addition property of equality? A. a + c = b + c B. ab = ba C. ac = bc D. a + b = b + a E. a = b

a + c = b + c This property tells us that if we add the same quantity to both sides of an equation, then our equation remains the same.

According to education professor Dr. Shaw, which of the following explains why manipulatives are so effective? A. All of the answers are correct. B, They promote communication. C. They are multisensory. D. They represent ideas in more than one way.

all answers are correct

Name the property or properties depicted: (7 * 15) * 9 = 7 * (15 * 9) A. Neither associative nor commutative B. Associative only C. Both associative and commutative D. Commutative only

associative

What type of lines should be used when graphing inequalities that have < or > signs? A. Solid lines B. Dotted lines C. Zigzag lines D. Slanted lines

dotted lines

An ____ is a number sentence in which a variable takes the place of unknown information. A. Expression B. Equality C. Equidistant D. Equation

equation

Which type of chart illustrates relationships between concepts or steps in a process? A. Table B. Pie Chart C. Flow Chart D. Line Graph E. Bar Chart

flow chart shows how steps or concepts relate to each other

What type of information does a histogram show? A. Frequency B. Categorical C. Data jumps D. Random E. Specific data points

frequency A histogram is a chart that shows the frequency of the data shown. They can show the frequency of continuous data.

Simplify the expression below. m^9÷m^4 A. m^13 B. m^5 C. m^5÷m D. m^24 E. 5m

m^5 Applying the quotient of powers property, subtract the exponents to get m^5.

Which of the following exponential expressions is equal to this radical expression? (7√m)6 A. (√m)^6 B. 7√m12 C. m^6/7 D. 7√m^3

m^6/7 Changing this into a rational exponent gives a numerator of 6 and a denominator of 7 like this: m ^ (6/ 7).

Simplify the expression and make sure all the exponents are positive in the answer. (m^1/2n^2/3 ÷ m^2/5n^3/4)^-6 A. m^27/5n^17/2 B. m^27/5 ÷ n^17/2 C. n^1/2 ÷ m^3/5 D. m^6/2n^12/3 ÷ m^12/5n^18/4 E. m^-3/5 ÷ n^1/2

n^1/2 ÷ m^3/5 Begin by simplifying the expression within the parenthesis: (m1/10 / n1/12)-6. Convert the exponent to a positive, which flips the top and bottom. To raise a fraction to a power, raise the numerator and denominator to that power, then simplify: n1/2 / m3/5.

Which of the following makes an equation a relation rather than a function? A. Vertical line test B. One output has multiple inputs D. One input has one output E. One output has one input F. One input has multiple outputs

one input has multiple outputs

Simplify the following expression so that all the exponents are positive. (p^-3/4q^3)^1/3 ÷ (p^-2q^4)(p^2q^4)^1/2 A. p^-3/4 ÷ q^-5 B. q^3/4 ÷ p^5 C. p^3/4q^5 D. p^3/4/q^5 E. (p^1/4q) ÷ (p^0q^4)

p^3/4 ÷ q^5 Begin by removing the parenthesis. To raise a product to a power, raise each factor to that power. Remember to simplfy any fractions. This leaves: p-1/4 q / (p-2 q4 pq2) Simplifying the denominator gives: p-1/4 q / p-1 q6 Simplify so that all exponents are positive. Complete the final function: p3/4 / q5.

Simplify this expression so that all the exponents are positive (p^3/4q^2)^1/3 ÷ (p^-2/3q^1/2)(pq)^-1/3 A. q^1/6p^2/3 B. q^1/2p^5/4 C. q^-1/6p^-2/3 D. q^1/6p^-2/3 E. p^1/6 ÷ q^2/3

q^1/2p^5/4 Begin by removing the parenthesis. To raise a product to a power, raise each factor to that power: p1/4 q2/3 / p-2/3 q1/2 p-1/3 q-1/3. Next, simplify by dividing the terms with their corresponding base by subtracting their exponents. Remember when there is a negative in front of a parenthesis, it changes the sign of all of the terms in the parenthesis. After simplifying all possible terms: q1/2 p5/4.

Simplify the following expression using positive exponents r^3/t^4 x t^7/r^5 A. r^-2t^3 B. r^21/t^20 C. t^3/r^2 D. r^3/t^12 E. r^3/

t3/r2 Reduce the expression with t4. Subtracting 4 from 7 leaves t3. Repeat the process with r, subtracting 3 from 5, leaving r2. The answer is t3/r2.

On the graph, how do you determine which side of the line represents the solution set? A. Test a point that is on the line. B. Test any random point from the graph. C. Test with point (0,0). D. Test a point that is not directly on the line.

test a point that is not directly on the line

If the shaded areas for two inequalities on a graph do not overlap, the solution set is for these inequalities is _____. A. an unequal set B. the empty set C. an equal set D. unsolvable

the empty set

What is the first step in solving word problems? A. Highlight the important parts. B. Write the equations. C. Highlight all the numbers. D. Solve the equations. E. Visualize the problem.

visualize the problem

What type of lines should be used when graphing inequalities that have >= or <= to signs? A. Solid lines B. Horizontal lines C. Zigzag lines D. Dotted lines

when its equal use SOLID LINES

Which is NOT a rational number? A. 0.25 B. √2 C. 1/3 D. 0.6666666... E. 1,000

√2 A rational number is a number that is made by dividing two integers (1/3, 0.25 (25/100), 0.666... (2/3), 1000 (1000/1)).

Please convert 0.123 into a fraction. A. 123/10 B. 123/100 C. 123/1000 D. 123/10000 E. 246/100

123/1000

Convert 8.06 x 10^-1 to standard notation. A. 0.806 B. 86 C. 0.0806 D. 80.6 E. 0.86

0.806 A -1 in the exponent of the 10 means the decimal moves 1 space to the left: 0.806.

Please convert 7/8 into a decimal. A. 0.987 B. 0.7 C. 0.875 D. 0.687 E. 0.78

0.875

On a recent test, Joe got 23.5 questions right out of a total of 25 questions. What is his score as a decimal? A. 0.80 B. 0.94 C. 0.92 D. 0.90

0.94

Which of the following is equivalent to the expression below? m^2n^2/(mn)^2 A. m^1n^0 B. m^-1/n^-2 C. mn D. 1 E. m^-1/n^2

1 The denominator can be rewritten as m2 times n2, which is the same as the nominator, making the answer 1.

Simplify the following expression: 93^0 A. 93 B. 0 C. 94 D. 1 E. -93

1 any expression to the zero power is 1. X

A recipe calls for 3 3/8 tablespoons of sugar. If you want to make 1/2 the recipe, then how much sugar do you need? A. 1 3/8 tablespoons B. 1 1/2 tablespoons C. 1 11/16 tablespoons D. 2 7/10 tablespoons

1 11/16 tablespoons

What is (2 1/8) / (1 1/4)? A. 1 7/10 B. 2 21/32 C. 10/17 D. 2 1/2

1 7/10

Which one is the smallest? A. 1.2 x 10^-8 B. 5.6 x 10^-6 C. 1.2 x 10^-3 D. 2.1 x 10^-9 E. 1.2 x 10^-9

1.2 x 10^-9 has the largest negative exponent

Cassie buys a box of 36 batteries for 15 dollars. Express the rate in its simplest form. A. 6 batteries/3 dollars B. 2 batteries/1 dollar C. 36 batteries/15 dollars D. 12 batteries/5 dollars E. 18 batteries/7.5 dollars

12 batteries/5 dollars The rate is written by writing as a fraction with the 36 in the numerator and the 15 in the denominator. You get 36 / 15 batteries / dollars. Simplifying, you get 12 / 5 batteries / dollars or 12 batteries / 5 dollars.

What is 9/10 - 2/5? A. 1/2 B. -2/5 C. 7/10 D. 2/5

1/2

Which of the following is equivalent to the following expression? 1/(3√k)^2 A. 1/K^2/3 B. 1/-k^2/3 C. (2√k)^3 D. (2√k)^3 D. (3√k)^2 E. k^2/3

1/K^2/3 The denominator here can be changed into a rational exponent with the 2 in the numerator and the 3 in the denominator like this: 1 / (k^(2 / 3)).

Simplify using ONLY positive exponents. m^3/m^5 A. -(1/m^2) B. 1/m^-2 C. m^-2 D. 1/m^2 E. m^2

1/m^2 Divide the terms with the same base by subtracting their exponents, leaving 1/m^2.

Simplify the expression below using only positive exponents x^2y^3/x^4y^7 A. x^2y^4 B. 1/x^2y^4 C. xy/xy D. (xy)^5/(xy)^11

1/x^2y^4 Here, x2 times y3 over x4 times y7 can be split using multiplication and then simplified to be 1 over x2 times y4.

Farmer John can till his field 1.5 times faster than Farmer Bob. If they work together, they can till the field in 6 hours. How long would it take Farmer John on his own? A. 20 hours B. 12 hours C. 14 hours D. 10 hours E. 15 hours

10 hours Using the formula, you get 1/1.5J + 1/J = 1/6. Solving for J, you get this. 1/1.5J + 1.5/1.5J = 1/6 2.5/1.5J = 1/6 2.5*6 = 1.5J 15 = 1.5J J = 10

Convert 43.6% to a fraction A. 436/500 B. 43.6/100 C. 109/250 D. 10.9/25 E. 21.8/50

109/250 43.6/100 does equal 43.6%, but because there is a decimal in the numerator, you need to multiply it by 10 to remove that decimal. For balance, multiply the denominator by 10 as well, resulting in 436/1000, which reduces to 109/250.

What is 3 1/3 + 8 1/2? A. 11 5/6 B. 11 1/2 C. 11 1/6 D. 12 1/6

11 5/6

What number is 1.23 x 10^4? A. 1,230 B. 123,000 C. 0.123 D. 12,300

12,300 Our number is multiplied by 10 to a power of 4. So move the decimal four places to the right and you get 12,300.

What is 30 percent of 120? A. 40 B. 20 C. 30 D. 36

36 You see the word of, so that tells you it's a multiplication problem. So you get 30% * 120 = 36.

If the campers at Camp Grilled Meat prefer hot dogs to hamburgers by a ratio of 4:3, and they need 500 hot dogs, how many hamburgers will they need? A. 666 B. 300 C. 400 D. 375 E. 667

375 The ratio says for every 4 hot dogs eaten, 3 hamburgers are also eaten. So if 500 hot dogs are eaten (500 / 4 = 125 times the current ratio), then 125 * 3 = 375 hamburgers will also be eaten.

Use the distributive property to simplify the following expression: -3(-x - 3y) A. -3x + 9y B. 3x +6y C. 3x + 9y D. -3x - 6y

3x + 9y

Find the result of (9.6 x 10^13) / (3.2 x 10^12) A. 3 x 10^0 B. 6.4 x 10^1 C. 3 x 10^-1 D. 3 x 10^1

3x10^1 divide the digits (9.6÷3.2) then minus the exponents (13-12)

Simplify the expression below using positive exponents only. 2x^5y^7/6x^3y A. x^2y^63^-1 B. 3/x^y^6 C. x^2y^6/3 D. xy^2/3 E. 3x^2y^6

3x^2y^6 Begin by simplifying the expression: 2/6 becomes 1/3. Divide the variables, subtracting the exponents. This leaves x2 y6/3.

Solve for x: 7/x = 28/16 A. 4 B. 16 C. 8 D. 6 E. 21

4 A proportion is just two ratios that equal each other. In this case, x=4 because 7/4=28/16.

Divide 11 by 2 1/2. A. 27 1/5 B. 4 2/5 C. 4 D. 4 1/2

4 2/5

One hose can fill a swimming pool in 12 hours. A different, larger hose can fill the same pool in half the time. If both hoses are used together, how many hours will it take to fill the pool? A. 2.5 B. 4 C. 3 D. 5 E. 3.5

4 hours Using the formula, you get 1/12 + 1/6 = 1/t. Solving for t, you get this. 1/12 + 2/12 = 1/t 3/12 = 1/t 3t = 12 t = 4

Order the numbers from least to greatest: 4/5, 5/6, 7/8, 8/9 A. 5/6, 4/5, 7/8, 8/9 B. 4/5, 8/9, 5/6, 7/8 C. 4/5, 5/6, 7/8, 8/9 D. 8/9, 7/8, 5/6, 4/5

4/5, 5/6, 7/8, 8/9

A train travels at 60 mph for 5 hours, then slows to 50 mph for 2 hours. How many miles does it travel? A. 100 miles B. 400 miles C. 385 miles D. 300 miles E. 420 miles

400 miles To find the distance plus distance, we need to tackle this problem in two parts. In the first part, the train travels at a rate of 60 mph for a time of 5 hours. With d = rt, we have d = 60 * 5. That's 300 miles. In the second part, the train travels at a rate of 50 mph for 2 hours. That's d = 50 * 2. So he went 100 miles in the second part. Now we add the two parts, 300 + 100, to get 400 miles.

A painting costs $225. If the sale price is $191.25, what is the percent discount? A. 15% B. 17% C. 75% D. 85% E. 25%

85% x / 100 = 191.25 / 225 x = 85 So, 191.25 is 85% of the regular price. That means that the painting is discounted 15%. (100 - 85 = 15).

Connor has seven more nickels than dimes and twice as many quarters as dimes. If he has $6.20, how many nickels does he have? A. 7 B. 10 C. 16 D. 18 E. 9

9 Let's use x for the number of dimes since the numbers of the other coins are based on the number of dimes. We have seven more nickels than dimes, so that's x + 7. And we have twice as many quarters as dimes, so 2x for quarters. Now let's multiply each by its value: Dimes = 0.10x Nickels = 0.05(x + 7) Quarters = 0.25(2x) Now we can set up our equation: 0.10x + 0.05(x + 7) + 0.25(2x) = 6.20 x = 9

Fill in the blank -3 _____ -√11 A. > B. ≥ C. < D. = E. ≤

> The square root of 11 is 3.316. So -3 is greater than, >, the negative square root of 11.

Which of the following is the greater than or equal to symbol? A. < (UNDERLINED) B. < C. > D. = E. > (UNDERLINED)

> (UNDERLINED)

What word indicates you don't get to choose between two conditions of a compound inequality? A. None of these are correct B. Or C. But D. And

And

What is the formula for zero exponents if the base is nonzero? A. Any nonzero number or letter raised to the zero exponent is always 0. B. Any nonzero number or letter raised to the zero exponent is always a fraction. C. Any nonzero number or letter raised to the zero exponent is always -1. D. Any non zero number or letter raised to the zero exponent is always 1.

Any non zero number or letter raised to the zero exponent is always 1 Any non zero number or letter raised to the zero exponent is always 1: x^0 = 1.

Solve the following algebraic equation: A. (x + 3) / 0 = _____. B. Undefined C. -3 D. 0 E. 3

Any number or algebraic expression divided by zero is undefined, so (x + 3) / 0 is undefined B. Undefined

Which of the following is the formula for the subtraction property of equality? A. If a = b, then ac = bc. B. If a = b, then a/c = b/c. C. If a = b, then a - c = b - c. D. If a = b, then a + c = b + c. E. If a = b, then ab = ac.

If a = b, then a - c = b - c.

If we have two line segments of lengths 2 and 7, can we form a triangle with these two line segments and a third line segment that has length 10? A. Yes, because 2 < 10. B. No, because 10 > 9. C. Yes, because 7 < 10. D. No, because a triangle can't have a side of length 2.

No, because 10 > 9. any side of a triangle cannot be longer than the other two sides combined

Can we form a triangle with line segments that have lengths 2, 8, and 14 units? A. Yes, because 8 < 14. B. Yes, because these line segments satisfy the triangle inequality theorem. C. No, because these line segments wouldn't satisfy the triangle inequality theorem. D. No, because there are only two sides to a triangle.

No, because these line segments wouldn't satisfy the triangle inequality theorem.

Fill in the blanks: According to the triangle inequality theorem, any side of a triangle must be _____ ____ the other two sides of the triangle combined. A. equal to B. longer than C. None of these are correct. D. shorter than

SHORTER THAN The triangle inequality theorem states that the length of any of the sides in a triangle must be shorter than the lengths of the other to sides added together. Therefore, according to the triangle inequality theorem, any side of a triangle must be shorter than the other two sides of the triangle combined.

What parts of your word problem should you sketch? A. The important parts that will help you answer your problem. B. Only the objects involved. C. The whole word problem scene. D. Only the beginning E. Only the end.

The important parts that will help you answer your problem.

Which of the following is true regarding negative exponents? A. To convert a negative exponent in the denominator to a positive exponent, move it to the numerator B. A negative exponent requires subtracting the exponent from the base number. C. Any number to any negative exponent is equal to 0. D. A negative exponent requires subtracting the base number from the exponent.

To convert a negative exponent in the denominator to a positive exponent, move it to the numerator When given a base with a negative exponent, just switch the places of the numerator and denominator to make the exponent positive.

At the coffee shop, 86% of customers left a large tip. In contrast, 5 out of 6 customers at the deli left a large tip. i) What is 5/6 as a percent? ii) Which restaurant had a greater percentage of customers who left a large tip? A. i) 5/6 = 87% ii) the coffee shop had more tips B. i) 5/6 = 86% ii) they had equal tips C. i) 5/6 = 87% ii) the deli had more tips D. i) 5/6 = 83.3% ii) the deli had more tips E. i) 5/6 = 83.3% ii) the coffee shop had more tips

i) 5/6 = 83.3%. ii) the coffee shop had more tips There are two questions to answer: i) What is 5/6 as a percent? 5/6 as a percent is approximately equal to 83.3% ii) Which restaurant had a greater percentage of customers who left a large tip? The coffee shop had a higher percentage of customers that left a large tip (86%)

When solving for 2 or more _____, graph the solution for each one on the same graph. The overlapping shaded areas will tell us where to find the _____. A. equalities; problem set B. inequalities; solution set C. equalities; solution set D. inequalities; problem set

inequalities; solution set

Simplify this expression: (x^2/3)^3/5 A. 1/x^2÷5 B. 1/x^6÷15 C. x^2/5 D. x^5/2 E. x^6/15

x^2/5 Simplify the expression by multiplying the exponents. This leaves: x2/5.

Which of the following is an equivalent decimal to 0.340? A. 340 B. 0.034 C. 0.34 D. 0.341

0.34

If you're dividing 1.72 by 8.6, how many places to the right will you need to move the decimal point in the divisor and dividend? A. 1 B. 3 C. 0 D. 2

1

Which of the following is a decimal number? A. 123 B. 1,123 C. 1.123 D. 12 E. 11,230

C. 1.123

On a bike path, John rode 2.7 miles so far. If the bike path is 5.0 miles long, how much farther does he have to travel to get to the end of the bike path? A. 7.7 miles B. 3.3 miles C. 2.7 miles D. 2.3 miles

D. 2.3 miles

Which of the following is a prime number? A. 22 B. 21 C. 25 D. 23 E. 24

D. 23

Which of the following is the same as 4*39*23? A. 4*40*24 B. 40*20*4 C. 23*4 D. 39*23*4 E. 4*40*20

D. 39*23*4

Which equation represents the multiplicative property of zero? A. a^0 = 1 B. 2 + 0 = 2 C. (2 - z + 9) * 0 = 11 - z D. 4.15 * 0 = 0 E. 14 - 0 = 0

D. 4.15 * 0 = 0

Which of these fraction is not equivalent to 6/10? A. 18/32 B. 3/5 C. 12/20 D. 24/40

18/32

A baker cuts his pies into 8 slices. His assistant, though, made a mistake and cut a pie into 16 pieces. How many pieces of the second pie would the baker need to sell to make the portion equal to a slice of the first pie? A. 4 B. 3 C. 2 D. 1

2

Jason multiplied 0.4 by some number, and the product was 0.216. How many digits were behind the decimal in the second number? A. 1 B, 0 C. 3 D. 2

2

Count from 2.9 to 3.4. A. 2.9, 3, 4, 3.4 B. 2.9, 2.10, 2.11, 3.4 C. 2.9, 3, 3.2, 3.4 D. 2.9, 3.2, 3.4 E. 2.9, 3, 3.1, 3.2, 3.3, 3.4

2.9, 3, 3.1, 3.2, 3.3, 3.4

Harry ate 2.5 more hot dogs than Frank. Frank only ate 1.5 hot dogs. How many hot dogs did Harry eat? A. 4 B. 3 C. 3.8 D. 5.6 E. 4.5

4

What multiplication sentences would we solve to test the equivalency of 4/5 and 8/10? A. We cannot use multiplication to test these fractions' equivalency. B. 4 * 10 and 8 * 5 C. 4 * 8 and 5 * 10 D. 4 * 5 and 8 * 10

4 * 10 and 8 * 5

Round 4.305 to the hundredths place. A. 4.3 B. 4.32 C. 4.4 D. 4.30 E. 4.31

4.31

Find the quotient of 50 divided by 0.1. A. 5 B. 0.5 C. 500 D. 50

500

Round 56,987 to the nearest ten thousand. A. 70,000 B. 55,000 C, 60,000 D. 40,000 E. 50,000

60,000

Round 7.14112 to the tenths place. A. 7.2 B. 7.1 C. 6 D. 8 E. 7

7.1

Round 9.43056 to three decimal places. A. 9.431 B. 9.430 C. 9.432 D. 9.44 E. 9.43

9.431

Solve 2,452-713 A, 1,739 B. 2,731 C. 2,413 D. 1,731

A, 1,739

(9 + 3) * 0 * (14 - 5) * (3*2) = A. 0 B. 144 C. undefined D. 648 E. 27

A. 0

14X23= A. 322 B. 223 C. 308 D. 315 E. 108

A. 322

For the number 1.14, what digit is in the hundredths place? A. 4 B. 2 C. 1 D. 3

A. 4

Put these fractions in order from GREATEST to LEAST: 6/12, 4/6, 7,20 A. 4/6, 6/12, 7/20 B. 6/12, 4/6, 7/20 C. 7/20, 6/12, 4/6 D. 7/20, 4/6, 6/12

A. 4/6, 6/12, 7/20

897X45= A. 40,365 B. 40,356 C. 20,465 D. 6,403 E. 40,340

A. 40,365

Which sequence of numbers below is a list of multiples? A. 5, 10, 15, 20, 25, ... B. 0, 2, 6, 12, 20, ... C. 1, 5, 6, 11, 16, 21, ... D. 2, 3, 8, 15, 32, ... E. 1, 2, 4, 9, 16, ...

A. 5, 10, 15, 20, 25, ...

Which number system has places of four, sixteen, and sixty-four? A. Base four B. Base ten C. Base five D. Base two

A. Base four

To subtract 5763-2361,w which of the following is correct? A. No borrowing is necessary in this problem. B. You must borrow from the 7. C. You must borrow from the 6. D. You must borrow from the 5

A. No borrowing is necessary in this problem.

What is one reason that a number cannot be divided by zero? A. None of the answers are correct. B. Because it's an even number. C. The result would look strange. D. Because it's an odd number.

A. None of the answers are correct.

Which of these is an example of modeling a math problem? A. To show a problem using pictures B. To explain a problem using words C. To physically demonstrate a math problem D. To solve a math problem in your head

A. To show a problem using pictures

Expanded form in math refers to _____. A. When a number is represented as a sum of smaller numbers to show the value of each digit B. A digit's position in a number and its resulting value C. When a number is represented as a product of smaller numbers to show the value of each digit D. The same thing as standard form

A. When a number is represented as a sum of smaller numbers to show the value of each digit

How do you create equivalent decimals? A. Add zeros to the right of the number. B. Add zeros to the left of the number. C. Add any numbers you want after the decimal point. D. Write the number without the decimal point.

Add zeros to the right of the number

Solve (a^2 + b - c^3) * 0 = A. a^2bc^3 B. 0 C. undefined D. (abc)^6 E. (a^2 + b - c^3)

B. 0

Find the GCF of 12 and 25. A. 25 B. 1 C. 12 D. 300 E. 3

B. 1

Use division to calculate 7/4. The answer is _____. A. 1 R4 B. 1 R3 C. 2 R3 D. 2 R1 E. 2

B. 1 R3

65X20= A. 1200 B. 1300 C. 1250 D. 1350 E. 1288

B. 1300

Which of the following is a composite number? A. 19 B. 14 C. 7 D. 13 E. 11

B. 14

Find the LCM of 13 and 15. A. 1 B. 195 C. 45 D. 390 E. 210

B. 195

What is the prime factorization of 32? A. 8*2*2 B. 2*2*2*2*2 C. 2*2*2*2*2*2 D. 2*2*2*4 E. 8*4

B. 2*2*2*2*2

What is the prime factorization of 4050? A. 2*3*3*3*3*5*5*5 B. 2*3*3*3*3*5*5 C. 2*2*3*3*3*5*5 D. 2*3*3*3*5*5 E. 2*3*3*3*5*5*5

B. 2*3*3*3*3*5*5

Find the LCM of 5 and 20. A. 25 B. 20 C. 4 D. 40 E. 5

B. 20

Solve 1,353+42. Answer in whole numbers. A. 27 remaining: 12 B. 31 remaining: 19 C. 29 remaining: 12 D. 30 remaining: 19

B. 31 remaining: 19

124X32= A. 3864 B. 3689 C. 3968 D. 9368 E. 6388

B. 3968

For the number 456, which number is in the tens place? A. 1 B. 5 C. 6 D. 4

B. 5

For the number 845.918, what is in the tenths place? A. 8 B. 9 C. 1 D. 5 E. 4

B. 9

What is another name for base two? A. Counting to ten B. Binary C. All of these D. Alpha-numeric

B. Binary

The number 1 falls into all the following families EXCEPT which group? A. Natural B. Irrational C. Whole D. Real E. Integers

B. Irrational

Which of these statements about the number zero is NOT true? A. It's an even number. B. It is a counting number. C. When used as a divisor, it results in undefined. D. It's not positive or negative.

B. It is a counting number.

Which of the following is the commutative property of multiplication? A. a + b = b + a B. a*b = b*a C. a*c = b*c D. a*b = b*c E. a = b

B. a*b = b*a

Solve the following division problem: A. 0 / 6 = _____. B. Undefined C. 0 D. 6 E. 1

C. 0

Which of these statements if FALSE regarding the number 0? A. 0 is not an irrational number B. 0 is a real number C. 0 is the smallest natural number D. 0 is a rational number E. 0 is the smallest whole number

C. 0 is the smallest natural number

A factor is defined as the different numbers that can be multiplied together to arrive at the original number. Which choice below is the complete list of factors of 30? A. 30, 60, 90, 120, 150, ... B. 30, 60, 90, 120, 150 C. 1, 2, 3, 5, 6, 10, 15, 30 D. 2, 3, 5, 6, 10, 15 E. 1, 30

C. 1, 2, 3, 5, 6, 10, 15, 30

Consider the numbers 1/2 and 9. Which of the following statements is completely true regarding the most specific classification of these two numbers? A. Both of these numbers are whole numbers B. 1/2 is irrational and 9 is an integer C. 1/2 is a rational number and 9 is a natural number D. 1/2 is a whole number and 9 is an integer E. 1/2 is a natural number and 9 is a rational number

C. 1/2 is a rational number and 9 is a natural number

Which of the following is a prime number? A. 8 B. 16 C. 13 D. 6 E. 4

C. 13

Solve 35x62 A. 217 B. 28,000 C. 2,170 D. 2,800

C. 2170

Which of the following is NOT a way to begin the factor tree for 1230? A. 5*246 B. 3*410 C. 41*31 D. 2*615 E. 10*123

C. 41*31

Compare using <, >, or =. 2 6/8 and 3 1/10 A. Cannot be determined B. > C. < D. =

C. <

Computers use which number system? A. Base ten B. Base Four C. Base two D. Base five

C. Base two

Which one of the following is TRUE about number blocks? A. They can only be used to solve division problems. B. They can only be used to represent ones in a problem. C. They can be used to add, subtract, multiply and divide. D. They cannot be color-coded like integer chips.

C. They can be used to add, subtract, multiply and divide.

Which number system has places of five, twenty-five, and one hundred twenty-five? A. base ten B. base two C. base five D. base four

C. base five

Which step in the following process is incorrect? i. 2 / 0 = W ii. 2 x 0 = W iii. W is undefined. A. ii B. iii C. i D. They are all correct

C. iii

Solve 237x79 A. 2,133 B. 16,590 C. 21,436 D. 18,723

D. 18,723

Find the GCF of 15 and 35. A. 3 B. 15 C. 7 D. 5 E. 1

D. 5

Which of the following expressions is written in expanded form? A. 5,000 + 400 + 12 B. 5,412 C. 5,400 + 10 + 2 D. 5,000 + 400 + 10 + 2

D. 5,000 + 400 + 10 + 2

Which of the numbers in the following set are rational numbers? 500, -15, √2, 1/4, 0.5, -2.50, π A. 500, -15, √2, 1/4, 0.5, -2.50, π B. 500 only C. 500, -15, 0.5, -2.50, π D. 500, -15, 1/4, 0.5, -2.50

D. 500, -15, 1/4, 0.5, -2.50

Write the number 789.1 as an addition problem. A. 700 + 80 + 9 + 1 / 100 B. 7000 + 800 + 90 + 1 C. 700 + 80 + 9 D. 700 + 80 + 9 + 1 / 10 E. 700 + 80 + 91 / 100

D. 700 + 80 + 9 + 1 / 10

Find the GCF of 9 and 45. A. 1 B. 45 C. 27 D. 9 E. 3

D. 9

How do you check to find out if your answer is correct in a subtraction problem? A. Add the minuend and the subtrahend to get the difference. B. Add the minuend and the difference to get the subtrahend. C. Subtract the difference from the minuend to get the subtrahend. D. Add the subtrahend and difference to get the minuend.

D. Add the subtrahend and difference to get the minuend.

Identify the minuend, subtrahend and difference in the subtraction problem 9 - 4 = 5 A. Minuend 9, difference 4, subtrahend 5 B. Minuend 4, subtrahend 5, difference 9 C. Minuend 5, subtrahend 4, difference 9 D. Minuend 9, subtrahend 4, difference 5

D. Minuend 9, subtrahend 4, difference 5

A prime number is a number that can only be divided by _____ and the number itself. A. 4 B. 2 C. 3 D. 10 E. 1

E. 1

What is the prime factorization of 420? A. 12*35 B. 4*3*5*7 C. 5*12*7 D. 4*15*7 E. 2*2*3*5*7

E. 2*2*3*5*7

Which of the following is NOT a prime number? A. 29 B. 37 C. 13 D. 2 E. 21

E. 21

56X65= A.4360 B. 3460 C. 35,460 D. 6340 E. 3640

E. 3640

For which of the number pairs below could you NOT use the shortcut of simply multiplying the two numbers together to find the LCM? A. 5 and 11 B. 3 and 8 C. 4 and 15 D. 2 and 21 E. 6 and 15

E. 6 and 15

Which family of numbers begins with the numbers 0, 1, 2, 3, ...? A. Real numbers B. Rational numbers C. Integers D. Natural numbers E. Whole numbers

E. Whole numbers

Rounding 1.123 to one decimal place. A. 2 B, 1 C. 1.2 D. 1.1 E. 1.12

1.1

0.54 + 0.6 = _____ A. 0.114 B. 11.4 C. 1.14 D. 0.0114

1.14

Which of the following best represents equivalent decimals? A. 10 dimes = 100 pennies B. 200 pennies = 3 dollars C. 2 dimes = 100 pennies D. 12 nickels = 1 dollar

10 dimes = 100 pennies

What is the quotient of 84 / 0.729? A. 11.52 B. 1 C .01 D. 115.23

115.23