Mathematics

Students board a bus at 7:45 a.m. and arrive at school at 8:20 a.m. How long are the students on the bus?

35 minutes

What is a concave polygon?

Has interior vertex that is greater than 180 degrees but less than 360 degrees.

Micah invites 23 friends to his house and is having pizza for dinner. Each pizza feeds approximately 4 people. Micah does not want a lot of leftovers. How many pizzas should he order? a. 4 b. 5 c. 6 d. 7

Micah needs at least 6 pizzas.

Which equation demonstrates the associate property of addition? a. 2 + (1 + 5) = (2 + 1) + 5 b. 2 (1 x 5) = (2 x 1) x 5 c. 1 x 3 = 3 x 1 d. 2 (7 + 4) = 2 x 7 + 2 x4

a. 2 + (1 + 5) = (2 + 1) + 5 When using the associate property the answer will remain the same in an addition problem regardless of where the parentheses are placed.

Lynn has 4 grades in science class. Each grade is worth 100 points. Lynn has an 85% average. If Lynn makes 100% on each of the first 3 grades, what does she earn on her 4th grade. a. 40% b. 55% c. 85% d. 100%

a. 40% on her 4th grade. (300+x)/4 = 85 (multiple by 4 on each side) 300+x = 340 (subtract 300 on each side) x = 40

Danny collects coins. The table shows how many of each type of coin Danny collects for 4 days. Which statement is true? Pennies: 1, 4, 5, 1 Nickels: 4, 3, 2, 5 Dimes: 3, 2, 2, 3 Quarters: 0, 5, 4, 1 a. The mean number of nickels is greater than the mean number of quarters. b. The mean number of quarters is greater than the mean number of pennies. c. The range of dimes is greater than the range of quarters. d. The median number of pennies 5.

a. The mean number of nickels is greater than the mean number of quarters.

Which expression can be solved using the following steps? 1. subtract 5 from m 2. multiply the result by 2 3. cube the result a. [2(m-5)]^3 b. 2m^3 - 5 c. 2m - 5^3 d. 2(m-5)^3

a. [2(m-5)]^3 follows all steps.

What are the coefficients and the degrees of the terms in the polynomial? 4x^3 + 5x^2 + 1 a. coefficients {4,5}, degrees {3,2} b. coefficients {1,4,5}, degrees {3,2} c. coefficients {3,2}, degrees {4,5} d. coefficients {3,2}, degrees {1,4,5}

a. coefficients {4,5}, degrees {3,2} Coefficients: the numbers before the exponent Degrees: are the exponents

Which property is demonstrated by the equivalent expression? 7(3+5) = 7x3 + 7x5 a. distributive b. associative c. commutative d. multiplicative

a. distributive. Distributive property is multiplication distributed over addition. a(b+c) = ab +ac

Which terms can be used to describe the polygon? (given: trapezoid polygon) a. irregular and convex b. irregular and concave c. regular and convex d. regular and concave

a. irregular and convex A polygon is irregular if the sides and angles are not the same. In the trapezoid, the side on top is shorter than the bottom; therefore the trapezoid is irregular. Convex polygons have interior angles that are less than 180 degrees, which is true for this trapezoid.

Justin has a summer lawn care business. Justin earns $400 per week by taking care of 10 lawns. Justin pays $35/week in business related expenses. The money Justin saves after x weeks is represented by the expression x(400-35). If y represents Justin's total earnings, which expression shows how many dollars Justin earns in a summer? a. y=365x b. 35x=400y c. x+y=365 d. x=365y

a. y=365x, simplify the expression.

Aprille has $50 to buy the items on her list. Assuming there is no sales tax, about how much change will Aprille receive after buying all the items on her list? Aprille's List: Hammer $13.24 , screwdriver $11.99 , nails $4.27 , wrench $5.60 a. $10 b. $15 c. $35 c. $50

b. $15 add all items up to get $35 $50 - $35 = $15

What is the 6th term of the pattern sequence if the pattern is to find the difference between the 2 preceding numbers and then multiply by -3? {3, 0, -9, -36, __ , ? } a. -81 b. -135 c. 135 d. 81

b. -135 The difference between -9 and -36 is 27. 27 x 3 = -81. This is the 5th term in the set. To find the 6th term, find the difference between -81 and -36, 45. 45 x -3 = -135.

Which number has the least value? a. 0.305 b. 0.035 c. 0.35 d. 0.3

b. 0.035 0.035 = 35/1000

Noah and Jennifer have a total of $10 to spend on lunch. If each buys his or her own order of French fries and a soda, how many orders of chicken strips can they share? French Fries: $2 Soda: $1 Chicken Strips: $4 a. 0 b. 1 c. 2 d. 3

b. 1 order of chicken strips. $10 - 2($2+$1) = x $10 - 2($3) = x $10 - $6 = $4

Which expression has only prime factors of 3, 5, and 11? a. 66 x 108 b. 15 x 99 c. 42 x 29 d. 28 x 350

b. 15 x 99. 15 has factors of 3, 5 and 99 has factors 3, 3, 11.

How much longer is the line segment MN than line segment KL? KL: 15mm MN: 35mm a. 15mm b. 20mm c. 2mm d. 55mm

b. 20mm (35-15=20mm)

The formula for distance is d = r x t. How long will it take a plane to fly 4000 miles from Chicago to London if the plane flies at a constant rate of 500 mph? a. 20 hours b. 8 hours c. 45 hours d. 3.5 hours

b. 8 hours. Plug in numbers to formula and solve for missing variable.

Which statement describes the numbers? 1/5, 2/5, 3/5, 4/5 a. When the numerator stays the same and the denominator increases, the fraction increases. b. When the numerator increases and the denominator stays the same, the fraction increases. c. When the numerator and the denominator increase, the fraction decreases. d. When the numerator stays the same and the denominator decreases, the fraction decreases.

b. When the numerator increases and the denominator stays the same, the fraction increases.

What is the value of the digit 4 in the number 654,123? a. one thousand b. four thousand c. ten thousand d. forty thousand

b. four thousand

Which inequality is equivalent to 10 ≤ k -5 ? a. k ≤ 15 b. k ≥ 15 c. k ≥ 5 d. k ≥ 10

b. k ≥ 15, add 5 to both sides to get 15 ≤ k, which is the same as k ≥ 15.

Kim and Chris are writing a book together. Kim writes twice as many pages as Chris. Altogether there are 240 pages in the book. Which equation shows how many pages Chris writes? a. 2+2p=240 b. p+2p=240 c. 2p-p=240 d. p-2p=240

b. p+2p=240 p is how many pages Chris writes, 2p is how many pages Kim writes. P = 80.

An ice chest contains 24 sodas, some regular and some diet. The ratio of diet soda to regular soda is 1:3. How many regular sodas are there in the ice chest? a. 1 b. 3 c. 18 d. 24

c. 18 regular sodas to solve using ratios: Regular = 3 = x Total 4. 24 cross multiple 4x = 72, x = 18

Using the function table below, what is the value of f(20)? x: 5, 10, 15, 20, 35 f(x): 12, 22, 32, ?, 52 a. 20 b. 25 c. 42 d. 50

c. 42. The relationship between x and f(x) is 2x+2

Simplify (5^2 -2)^2 + 3^3 a. 25 b. 30 c. 556 d. 538

c. 556

In the fall, 425 students pass the math benchmark. In the spring 680 students pass the same benchmark. What is the percentage increase in passing scores from fall to spring? a. 40% b. 55% c. 60% d. 80%

c. 60%. To find increase percentage: 680-425=255 255/425 = .60 & .60 x 100 = 60%

Which number has the greatest value? a. 9299 ones b. 903 tens c. 93 hundreds d. 9 thousands

c. 93 hundreds 93 * 100 = 9300

In which quadrant is the point (-3, -4) located? a. I b. II c. III d. IV

c. III Quadrant 3 has negative x coordinates and negative y coordinates

Kim drives 75 mph for t hours. If t = time and d = distance, the equation d =75t describes Kim's drive. Which statement is true? a. The dependent variable is t because time depends on the distance Kim travels b. The independent variable is t because the time is being multiplied by the independent rate of 75. c. The dependent variable is d because the distance depends on the number of hours Kim drives d. The dependent variable and independent variable cannot be determined in the equation.

c. The dependent variable is d because the distance depends on the number of hours Kim drives

Out of 1560 students at Ward Middle School, 15% want to take French. Which equation can determine how many students want to take French? a. x = 1560 / 15 b. x = 15 / 1560 c. x = 1560 x 0.15 d. x = 1560 / 100

c. x = 1560 x 0.15 Total * percentage

Using the information in the table which equation demonstrates the linear relationship between x and y? x: 3, 7, 10 y: -18, -34, -46 a. y=-6x-6 b. y=-5x-6 c. y=-4x-6 d. y=-3x-6

c. y=-4x-6 solve by plugging in x value to get y value.

Which expression is equivalent to dividing 300 by 12? a. 2(150-6) b. (300/4)/6 c. (120/6)+(180/6) d. (120/12)+(180/12)

d. (120/12)+(180/12) 120/12 = 10 , 180/12 = 15 , 10+15 = 25 300/12 = 25

How many times is the digit 3 in the first number compared to the second number? 1: 846,307 2: 209,023 a. 2 b. 4 c. 10 d. 100

d. 100 300 / 3 = 100

A table is 150 centimeters long. How many millimeters long is the table? a. 1.5mm b. 15mm c. 150mm d. 1500mm

d. 1500mm 1 centimeter = 10 millimeters so 150 x 10.

What is the perimeter of the shape? (Given: star shape, each length is the same, given 2 lengths at 2mm long) a. 2mm b. 4mm c. 10mm d. 20mm

d. 20mm 10 sides at 2mm length each

If the pattern continues, what is the next number? {2, 5, 14, 41, 122, ...} a. 244 b. 264 c. 422 d. 365

d. 365 the pattern is 3n-1=x

Solve for x. x = 6 (3^0) a. 0 b. 18 c. 180 d. 6

d. 6 anything raised to the 0 power is 1 so 6 times 1.

A fruit stand sells apples, bananas, and oranges at a ratio 3:2:1. If the fruit stand sells 20 bananas, how many total pieces of fruit does the fruit stand sell? a. 10 b. 30 c. 40 d. 60

d. 60 x = apples , y = oranges apples/bananas = 3/2 = x/20 oranges/bananas = 1/2 = y/20 Cross multiple to find x and y 30 apples + 20 bananas + 10 oranges = 60 pieces of fruit

What is 5/8 as a percent? a. 0.625% b. 1.6% c. 16% d. 62.5%

d. 62.5% divide 5 by 8 to get 0.625 and times that by 100 to get percent.

Robbie has a bag of treats that contains 5 pieces of gum, 7 pieces of taffy, and 8 pieces of chocolate. If Robbie reaches into the bag and randomly pulls out a treat, what is the probability that Robbie will get a piece of taffy? 1. 1 b. 1/7 c. 5/8 d. 7/20

d. 7/20 there are 20 total probabilities and 7 total pieces of taffy.

What is the value of 3x+7x if x=8? a. 10 b. 21 c. 31 d. 80

d. 80 plug in 8, solve.

Which number has a prime factorization of 3 odd numbers and 1 even number? a. 9 b. 21 c. 45 d. 90

d. 90 has the prime factorization of 2*3*3*5

Which equation is described by the data in the table? x: 1, 2, 3 y: 3, 0, -5 a. y= 4- x^2 b. x^2 + y = 4 c. x^2 + y = 2^2 d. all the above

d. all the above

Which type of number below is shown? 3.6555555.... a. natural number b. whole number c. integer d. rational number

d. rational number Integers: positive or negative whole numbers not including repeating decimals Natural: used when counting, are whole numbers, not including 0 or fractions or decimals Rational: fractions and repeating decimals Whole: are natural numbers including 0

Which three-dimensional solid has 2 triangular faces and 3 rectangular faces? a. pyramid b. cube c. rectangular prism d. triangular prism

d. triangular prism

Using the information in the table which equation demonstrates the linear relationship between x and y? x: 3, 7, 10 y: 3, 15, 24 a. y=6x-6 b. y=5x-6 c. y=4x-6 d. y=3x-6

d. y=3x-6 solve by plugging in x value to get y value.