Math

Solve the equation for the value of x 7x - 6 = 3x-26 -5 5 8 -8

-5

A sweater that normally sales for $87 is marked 25% off. Which of the following estimates the sale price of the sweater? o $65 o $51 o $36 o $22

$ 65

Simplify (18x 3 yz)/(6xy 4 ) 3x 4 yz 3 (3x 4 y)/ z 3 3x 4 z 3 (3x 4 )/ z 3

(3x 4 )/ z 3

Arrange the following in order from the greatest to least. 265/100, 26%, 270%, 2.6

270%, 265/100, 2.6, 26%

Which of the following is the length of the unknown leg of aright triangle that has one leg length of 8 feet and a hypotenuse of 12 feet (round to the nearest tenth) o 4 feet o 14.4 feet o 40 feet o 8.9 feet

8.9 feet

What is the area of a square that measures 3.1 m on each side? 9.61 m 3 6.2 m 3 9.1 m 3 12.4 m 3

9.61 m 3

Which type of graph would best indicate the percentage of a school's annual scholarship fund spent on freshman students?

A pie chart represents percentages of a total, and would thus be the best graphic representation of a budget breakdown.

Which of the following relationships represents a positive correlation between two variables? o As the number of miles driven increases, the amount of gasoline in the tank decreases o As the number of hours a person exercises decrease, the weight of that person increases o As the amount of water a plant receives increases, the growth rate of the plant increases o As a student's class attendance decreases, the student's overall grade remains the same.

As the amount of water a plant receives increases, the growth rate of the plant increases

Four hundred milligrams equals to how many grams? o 0.00004 g o 0.4 g o 400.000 g o 4 g

o 0.4 g

A bakery sells three varieties of muffins. On a recent morning, the bakery sold 41 blueberry muffins, 27 bananas nut muffins and 20 bread muffins. Estimate the total number of muffins sold. o 70 o 90 o 100 o 80

o 90

(5x − 1) (3x + 2) Simplify the expression above. Which of the following is correct?

x − 4 = 6 x = 6 + 4 x = 10

Four friends are sharing pizza. One friend eats half of the pizza. The other three equally divide the rest among themselves. What portion of the pizza did each of the three friends receive? o 1/5 o 1/3 o ¼ o 1/6

1/6

3(x − 4) = 18 Solve the equation above. Which of the following is correct?

3(x − 4) = 18 x − 4 = 18/3 x − 4 = 6

25. Arrange the following in ascending order - 1.3 - 3/4 - 1.25 - 8/10 - 1

3,4, 8/10, 1, 1.25 , 1.3

If x represents the width of a rectangle and the length is four less than three times the width, which of the following expressions represents the length of the rectangle I terms of x? o 3-4x o 4x-3 o 4-3x o 3x-4

3x-4

One gallon of cleaning solution requires 6 Oz of ammonia. If the maintenance department needs 120 gallons to clean all the floors, how much ammonia is needed? o 720 oz o 720 gallons o 20 oz o 20 gallons

720 oz

A pudding recipe for 50 people calls for 4 cups of sugar. Each bag of sugar contains 6 cups. How many bags of sugar will be needed to make this recipe for 300 people? 24 bags 13 bags 4 bags 6 bags

4 bags

A recipe calls for 2.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 ml. which of the following is the correct amount of vanilla in ml? o 0.507 ml o 5.33 ml o 12.325 ml o 7.43 ml

12. 325 ml

The data represents students' test scores. Which of the following is the median of the set data? 11,12,18,14,22,17,17,12,26,12,13 o 15.8 o 15 o 14 o 12

14

A nurse working at a medical clinic earns $17.81 per hour. The nurse works three 8-hour shifts and one 12-hour shift every week, and is paid weekly. Weekly deductions are: federal tax $102.80, state tax , $24.58, federal insurance $18.13, and family health insurance $52.15. What is the nurse's take-home pay each week?

First you must calculate how many hours the nurse works each week. Three 8-hour shifts plus one 12-hour shift equals 36 hours per week. Beginning Salary = 36 x $17.81 = $641.16 Deductions = $102.80 + $24.58 + $18.13 + $52.15 = $197.66 Take-Home Pay = $641.16 − $197.66 = $443.50

What is 181.5% of 18?

First you must convert the fraction to a decimal by moving the decimal point 2 places to the left, which gives you 1.815. Then multiply this by 18. 1.815 x 18 = 32.67

Amanda wants to paint the walls of a room. She knows that each can of paint contains one gallon. A half gallon will cover a 55 square feet of wall. Each of the four walls is 10 feet high. Two of the walls are 10 feet wide and two of the walls are 15 feet wide. How many 1-gallon buckets of paint does Amanda need to buy in order to fully paint the room?

First, we must calculate the area of the walls Amanda wants to paint. Two of the walls are 10 x 10 and two of the walls are 10 x 15: 2 (10 x 10) = 200 2 (10 x 15) = 300 So the total square footage of the walls is 500.

Using the numbers below, which of the following numbers is greatest 4/3, 27/20, 1.369, 1.357

1.369

Which of the following is the weight of the cargo in a truck if 1/3 of the cargo weighs 516 pounds (lb) o 688 lb o 1548 lb o 172 lb o 1032 lb

-- maybe 1548Ib

2(4x + 3) = 7x +5 Solve the equation above for x o 1 o 11 o -1 o 2

-1

If a box of 35 syringes costs $560.00. Which of the following is the cost of the syringes? o $16.00 o $8.00 o $32.00 o $15.00

$16.00 (Correct)

30. Which of the following is the correct decimal placement for the product of 13 x 0.47? o 6.11 o 0.0611 o 0.00611 o 0.611

- 6.11

Pat deposits $ 600 in a savings account at a simple interest rate of 6% per year for 5 years. how much will pat have earned in interest by the end of 5 years $360 $180 $36 $95

$180

Lana has $60. She spends 80% of the money. She then invests the remaining and earns a profit of 80%. How much money does she now have? o $9.60 o $60 o $86.40 o $21.60

$21.60

A nurse earns $800.00 per week before any tax deductions. The following taxes are deducted each week: $83.00 federal income tax, $38.00 state income tax, and $79.00 social security tax. How much will the nurse make in 4 weeks after taxes are deducted? o $2,600.00 o $2800.00 o $3000.00 o $2400.00

$2400.00

A couple dining at a restaurant receives a bill of $38.40. They wish to leave a 15% gratuity. Which of the following is the estimated gratuity? o $5.00 o $6.00 o $ 7.00 o $4.00

$6.00 (Correct)

A certain number is 12 more than half a given number. Translate this phrase into a mathematical expression equivalent to the given number if "c" represents the certain number.

(x/2) + 12 = c x/2 = c − 12 x = 2(c − 12)

Which of the following is the value of x in the equation? 4x-3-5x=24 -4 22 -27 4

-27

Which of the following is the correct order of the numbers below from the least to greatest? 235.971, 145.884, -271.906, -193.823 -193.823, -271.906, 145.884, 235.971 145.884, -193.823, 235.971, -271.906 -271.906, -193.823, 145.884, 235.971 -271.906, 235.971, -193.823, 145.884

-271.906, -193.823, 145.884, 235.971

An employee discovers that 0.0025 of all products produced contains a defect. What's the number in percentage? 0.25% 25% 0.025%

0.25%

Simply the expression 2.50 x 0.25 o 0.0625 o 6.25 o 6.025 o 0.625

0.625

Four friends are sharing a pizza. One friend eats half of the pizza. The other three equally divide the rest among themselves. What portion of the pizza did each of the three friends receive? 1/6 1/3 ¼ 1/5

1/6

Which of the following is the equivalence in pounds for 50 kg? (2.2 lb = 1 kg) o 52.2 lb o 110 lb o 22.7 lb o 220 lb

110 Ib

A circle has an area of 49 π in2. Which of the following is the circumference of the circle in terms of pi (π) o 3.5 π in o 7 π in o 14 π in o 28 π in

14 π in

A class of 28 students has 13 boys and 15 girls. What is the ratio of girls to boys in the class? o 15:13 o 15:28 o 13:28 o 13:15

15:13

How many feet are there in 6 yards? o 9 ft o 36ft o 2 ft o 18 ft

18 ft

2 − 8 ÷ (24 ÷ 2) =

2 − 8 ÷ (24 ÷ 2) = 2 − 8 ÷ (16 ÷ 2) = 2 − 8 ÷ 8 = 2 − 1 =1

What is the product of 5/8 X 18/4 (rounded to the nearest ten thousandth)?

2.8125

A girl and her dog are playing tug of war with a piece of rope. The girl pulls on the rope with a force of 165 newtons (N) towards rhe east. The dog pulls with a force of 190 N toward the west. What is the net force on the rope? 190 N towards the west 35 N towards the east 25 N towards the west 165 N toward the east.

25 N towards the west

7 1/4 x 1/18

29/4 x 1/18 = 29/(4 x 18) = 29/72.

Which of the following translates the phrase above into mathematical expression? Five less than twice a number o 5x -2 o 2 - 5x o 5 - 2x o 2x -5

2x -5

| 2x − 5 | = 19 and |2x-5=-19|

2x − 5 = 19 2x = 24 X = 12 2x − 5 = −19 2x = −14 x = −7 The two solutions and −7 and 12.

A garden in the shape of a square has an area of 13 square feet. Each side of the garden has a length of √13 feet. Which of the following is the decimal approximation for the length of each side? 2.6 feet 6.5 feet 3.6 feet 4.5 Feet

3.6 feet

A bucket can hold 3 L. how many ml can the bucket hold? o 3000 ml o 30 ml o 0.003 ml o 300 ml

3000 ml

If a car travels 360 kilometers in 5 hours, how far will it travel in 9 hours?

360/5 = x/9 72 = x/9 72*9 = x x = 648

The hypotenuse (side C) of a triangle is 13 inches long. Which of the following pairs could be the correct measurements for the lengths of the other two sides of the triangle (note: A 2 + B 2 = C 2 ) 5 inches, 8 inches 5 inches, 12 inches 2.5 inches, 6 inches 2.5 inches, 4 inches

5 inches, 12 inches

Express 5/8 as its closest rounded percentage.

5 ÷ 8 = 0.625, which equals 62.5%. Rounding up gives us 63%.

A lab scale weighs 3 pounds, 5 ounces. Which of the following is the scales weight in ounces (oz). 35 oz 29 oz 53 oz 41 oz

53 oz

An athlete runs 4 miles in 28 minutes and then changes their place to run the next 4 miles in 32 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 miles? o 7.5 minutes o 8 minutes o 7 minutes o 8.5 minutes

7.5 minutes

How many millilitres are there in 0.5 litres? o 5000 o 50 o 500 o 5

500

A student performs the following estimations - 24+190=210 - 151+319=490 - 974+1022=1990 Based on the estimations, which of the following is the students estimate of 452+5017? o 5450 o 5400 o 5470 o 5500

5470 (Correct)

Which of the following percentages is equivalent to the fraction below 5/8? o 160% o 6.25% o 62.5% o 1.6%

62.5 %

A large pizza has a diameter of 16 inches. Which of the following is the area of the pizza in terms if pi? o 16 o 256 o 64 o 32

64

Solve the equation for x. which of the following is the correct answer? 4(x-5)=8 o ¾ o 3 ¾ o 7

7

7 x 4 + (9 − 6) + 13

7 x 4 + (3) + 13 Next, move left to right, doing any multiplication or division: 28 + 3 + 13 Finally, move left to right, doing any addition or subtraction: 31 + 13 = 44

The width of a rectangle is 4 inches (in) and the area of the rectangle is 32 in 2 . which of the following represents the length of the rectangle? 8 in 28 in 128 in 36 in.

8 in

What is 3/8 divided by 5/12 9/10 2/5 10/9 5/2

9/10

Which of the following values is the greatest? o 10/3 o 4.4 o 9/2 o 4.25

9/2

Which of the following is the correct conversion of 2 ¾ yards into inches? 11 inches 75 inches 33 inches 99 inches

99 inches

A patient's temperature is recorded in degrees Fahrenheit every hour for 8 hr. the temperature in Fahrenheit were 99.0, 99.2, 98.7, 99.3, 99.7, 98.6, 100.0, and 99.0. What is the median temperature? 99˚ F 99.2˚ F 99.5˚ F 99.1 ˚ F

99.1 ˚ F

Which of the following is the greatest value? o 3/8 o 34/96 o 0.372 o 37%

A. 3/8

Timmy can usually make six paper airplanes in an hour. However, if he gets interrupted by his parents, he can only make four per hour. His friend John can make seven paper airplanes per hour. One day, Timmy and John decide to have a three-hour long contest to see who can make the most paper airplanes. During the contest, Timmy is interrupted once every hour. John also had to take a break and do chores for an hour. How many more paper airplanes does the winner make?

Because Timmy is interrupted during each hour, he can only make four paper airplanes per hour, multiplied by 3 hours, for a total of 12 airplanes. John makes seven paper airplanes during the two hours he works without chores, for a total of 14 airplanes. 14 airplanes minus 12 airplanes equals 2.

When the weights of newborn babies are graphed, the distribution of weight is symmetric with the majority of weights centred around a single peak. Which of the following describes the shape of this distribution? o Skewed right o Bimodal o Uniform o Bell-shaped

Bell-shaped

There are 48 students studying foreign language at the community college. If the only two foreign languages offered are French and Spanish, and 28 students are studying French, which of the following represents the ratio of students studying Spanish to the total number of foreign language students?

If there are 48 total, and 28 study French, then 20 study Spanish. The ratio of 20 to 48 = 10/24 = 5/12.

Which of the following is equivalent to 0.0009?

In order to convert a decimal to a percent you need to move the decimal point two places to the right and add the percent symbol.

A person cycling increases speed, the rate of calories burned, distance travelled, and energy expanded also increase. Which of the following is the independent variable? o Speed o Energy o Distance o Calories

Speed

A father is planning a birthday party for his son. He is expecting a total attendance of 7 adults and 13 children. Food costs will be $11.00 for each adult and $5.00 for each child. He will also need to spend $2.00 per child for party favors. Which of the following is the total cost of the birthday party?

The cost for each adult will be $11.00. 7 x 11 = 77 The cost for each child will be $7.00 ($5.00 for food plus $2.00 for the party favors). 13 x 7 = 91 So the total cost will be 77 + 91, which is 168.

If Maria left a $10.16 tip on a breakfast that cost $86.89, approximately what percentage was the tip?

The easiest way to answer this question is to round the numbers. Let's say the tip is $10 and the total was $87. $10/$87 = approximately 11%. (A) is the closest answer to our approximation.

Derek purchased concert tickets in the month of June for $73, $66, $96, $17, and $66 dollars. Which of the following is an accurate estimate of the total amount he spent on concert tickets in June?

The easiest way to make an estimate is to round each number so there is only one nonzero digit. Then you can easily add up the numbers: 73 ≈ 70 66 ≈ 70 96 ≈ 100 17 ≈ 20 66 ≈ 70 Adding these numbers together yields $330.

How many millimeters are there in 5 meters?

The prefix "milli-" means 1,000. There are 1,000 millimeters in 1 meter, so there are 5,000 millimeters in 5 meters.

0.27 x 0.56 Simplify the expression above. Which of the following is correct?

The product of two decimals will always have the same number of decimal places as the sum of the number of decimal places that the multiplicand and the multiplier have. 27*56=1512. The multiplicand is .27 and has 2 decimal places. The multiplier is .56 and has 2 decimal places. Our product should have 4 decimal places. Therefore, our answer is .1512.

0.67 x 0.09? Simplify the expression above.

The product of two decimals will always have the same number of decimal places as the sum of the number of decimal places that the multiplicand and the multiplier have. 67*9=603. The multiplicand is .67 and has 2 decimal places. The multiplier is .09 and has 2 decimal places. Our product should have 4 decimal places. Therefore, our answer is .0603. Don't get tripped up by the extra zeros. Zeros before our answer and after the decimal point increase the number of decimal places. Zeros after our answer and after the decimal point do not increase the number of decimal places.

−1/4, π, 3/8, −0.2 Order the above list of numbers from least to greatest.

The smallest number is the greatest negative value: −1/4 (−0.25). The next smallest is −0.2 (−1/5). The largest value is π, or approximately 3.14.

How many imperial gallons are there in 1,400 liters? Note: 1 kiloliter = 220 imperial gallons

There are 1,000 liters in 1 kiloliter: 1,400 liters = 1.4 kiloliters. 1.4 x 220 = 308 imperial gallons

At a comic book store, Robert purchased three comics for $2.65 each. If he paid with a $20 bill, how much change did he receive?

Three comics at $2.65 would equal a total of $7.95. The change would equal $20 − $7.95 = $12.05.

5y − 8 > 32

To solve an inequality, simply treat the inequality symbol as if it's an equals sign: 5y − 8 > 32 5y > 40 y > 8

A family is planning a driving vacation and is estimating the cost of gasoline. While on vacation, the family plans to drive 3,000 miles. The car goes about 25 miles per gallon, and the cost of gasoline is $1.66 per gallon. Which of the following is the estimate for the cost if the gasoline for gasoline for the vacation? o $120.00 o $41 o $199.20 o $72.29

o $199.20

Simplify 7x - 6 = 3x -26 Solve the equation above for x. which of the following is the value of x? o -5 o 5 o -8 o 8

o -5

An athlete can run 6 miles in 51 minutes. At this rate, how many miles could the athlete run in 1.5 hours? o 15 miles o 45 miles o 11.5 miles o 10.6 miles

o 10.6 miles

An athlete can run 6 miles in 51 minutes. At this rate, how many miles could the athlete run in 90 minutes? o 15 miles o 45 miles o 11.5 miles o 10.6 miles

o 10.6 miles

A local law school reports that 74% of last year's graduates are employed by law firms, 3% work for the government and 2% work for non-profit organizations. The rest of the graduates' work at jobs unrelated to law. Based on these outcomes, which of the following is the percentage of graduates working jobs unrelated to law? o 79% o 21% o 5% o 69

o 21%

Which of the following is the mean of the set data below? 30,29,28,30,24,12,26,33,25,23 o 30 o 26 o 21 o 27

o 26

Which of the following is the mean of the set data below? 30,29,28,30,24,12,26,33,25,23 o 30 o 26 o 21 o 27

o 26

If x represents the width of a rectangle and the length is four less than three times the width, which of the following expressions represents the length of the rectangle I terms of x? o 3-4x o 4x-3 o 4-3x o 3x-4

o 3x-4

Which of the following is the appropriate estimate of 1 teaspoon? o 5 L o 5 Ml o 0.5 L o 50 L

o 5 Ml

To rent tablecloths from a party rental vendor, there is an initial charge of $40. There is an additional charge of $5 per circular tablecloth and $3.50per rectangular tablecloth (r). which of the following equations represents the total cost (T) to rent tablecloths? o 5C +3.5r +40 = T o 5r +3.5 + 40 = T o 5C + 3.5r -40 = T o 5r + 3.5C - 40 = T

o 5C +3.5r +40 = T

A large pizza has a diatemeter of 16 inches. Which of the following is the area of the pizza in terms if pi? o 16 o 256 o 64 o 32

o 64

A patient drives 19 miles one way to medical facility for treatment. How far does the patient drive round trip in 22 days of treatment? o 836 miles o 1672 miles o 418 miles o 1254 miles

o 836 miles

Which of the following values is the greatest? o 4/4 o 4.25 o 10/3 o 9/2

o 9/2

To determine the insurance premium of a car, an insurance company considers the following determinants the age of the car, the model of the car, and mileage of the car. Which of following is the dependent variable? o Insurance premium o Age o Model o Mileage

o Insurance premium

What degrees Fahrenheit is it at 30 degrees Celsius? Note: °F = (°C * 9/5) + 32

°F = (°C * 9/5) + 32 °F = (30 * 9/5) + 32 °F = 54 + 32 °F = 86