Free Printable Math Review

1.

Which expression is equivalent to the expression shown?

$-3\left(-4x+2\right)$

a)

$-4x-1$

b)

$-4x-5$

c)

$12x-6$

d)

$12x+2$

2.

Which expression is equivalent to the expression shown?

$-3\left(-5x+2\right)+20x+7$

a)

$35x-5$

b)

$35x+1$

c)

$5x-5$

d)

$5x+1$

3.

Simplify the expression shown.

$\left(3x+2\right)+\left(-x+7\right)$

a)

$4x+9$

b)

$4x-5$

c)

$2x+9$

d)

$2x-5$

4.

Factor the expression shown.

$21x-56$

a)

$21\left(x-56\right)$

b)

$21\left(x-35\right)$

c)

$7\left(3x-56\right)$

d)

$7\left(3x-8\right)$

5.

Simplify the expression shown.

$-4\left(2+3x\right)$

a)

$-8-12x$

b)

$-8+12x$

c)

$-8-3x$

d)

$-8+3x$

6.

Which expression is equivalent to the expression shown below?

$2\left(x-4\right)+3x-3\left(-x+2\right)$

a)

$2\left(4x-7\right)$

b)

$2\left(4x-1\right)$

c)

$2\left(x-7\right)$

d)

$2\left(x-1\right)$

7.

Simplify the expression shown.

$\left(x+3\right)-\left(-2x+15\right)+2x$

a)

$x-12$

b)

$x+18$

c)

$5x-12$

d)

$5x-18$

8.

Which expression is equivalent to the expression shown? $\left(7x+2\right)-\left(-2x-19\right)$

a)

$11x-17$

b)

$11x+21$

c)

$9x-17$

d)

$9x+21$

9.

Jennifer has $65 to spend on pants and shirts. She buys a pair of pants for $25 and buys shirts that cost $11 each. What is the greatest number of shirts Jennifer can buy?

a)

4 shirts

b)

3 shirts

c)

8 shirts

d)

9 shirts

10.

Robert joins a gym and pays a $25 application fee. After that, he pays $10 a month for 1 year. How much money in total does Robert spend on gym fees for the entire year?

a)

$35

b)

$145

c)

$310

d)

$420

11.

Which number line shows the solution set to the inequality shown?
$4-6x\le16$

a)

b)

c)

d)

12.

Lucia spent a total of $112 on 6 bags of potting soil and x bags of grass seed. He paid $8 for each bag of potting soil and grass seed. Which equation could be used to determine the number of bags of grass seed Lucia bought?

a)

$6\left(8+x\right)=112$

b)

$8\left(6+x\right)=112$

c)

$8x+6=112$

d)

$14x=112$

13.

Sophie's car seat provides safety for children 32 inches (in.) tall and under. Sophie is 25 in. tall. Which inequality represents how many more inches ( x ) Sophie can grow and still use the car seat?

a)

$25\ +\ x\ <\ 32$

b)

$25\ +\ x\ \le\ 32$

c)

$25\ +\ x\ >\ 32$

d)

$25\ +\ x\ \ge\ 32$

14.

Solve for x.

$-\frac{1}{6}x\ +\ \frac{4}{3}\ <\ 2$

a)

$x\ >\ -4$

b)

$x\ <\ -4$

c)

$x\ >\ 4$

d)

$x\ <\ 4$

15.

Carter bought a pack of gum that cost $1.29 and 5 candy bars that cost $1.59 each. How much money did Carter spend?

a)

$2.88

b)

$8.04

c)

$9.24

d)

$14.40

16.

Which expression is equivalent to $-0.3\left(-3.7n+1.6\right)-\left(-2.4n\right)$

a)

$-1.29n-0.48$

b)

$-1.29n+0.48$

c)

$3.51n-0.48$

d)

$3.51n+0.48$

17.

Which expression is equivalent to $\left(19x-15\right)+\left(9-12x\right)$

a)

$4x-3$

b)

$7x-6$

c)

$28x-27$

d)

$31x+24$

18.

Which expression is equivalent to $2x\left(3\cdot5\right)-5\left(-x-\frac{8}{2}\right)$

a)

$21x+20$

b)

$25x-20$

c)

$35x+20$

d)

$65x-20$

19.

Which expression is equivalent to $\left(3.9x-5.4\right)-\left(6.7-4.3x\right)$

a)

$-2.8x-1.1$

b)

$-2.8x-9.7$

c)

$8.2x-1.3$

d)

$8.2x-12.1$

20.

Which expression is equivalent to
$7\left(5-x\right)+3\left(x+2\right)$

a)

$37-4x$

b)

$41-4x$

c)

$37+10x$

d)

$41+10x$

21.

$2\left(x-6\right)+2\left(x\cdot2\right)_{ }$

a)

$6x-6$

b)

$6x-12$

c)

$10x-6$

d)

$10x-12$

22.

Barbara is 46 inches (in.) tall. She is 2 in. less than $\frac{2}{3}$ of Alejandro's height (a). Which equation should be used to calculate Alejandro's height?

a)

$2a+\frac{2}{3}=46$

b)

$\frac{2}{3}a-2=46$

c)

$\frac{2}{3}\left(a-2\right)=46$

d)

$2\left(a+\frac{2}{3}\right)=46$

23.

Dave's salary is $2,500 per month. His rent costs $\frac{2}{5}$ of his monthly salary. After paying rent, how much money does Dave have left?

a)

$500

b)

$1,000

c)

$1,500

d)

$2,000

24.

An oven takes at least 20 minutes (min) roasting time per pound of turkey ( p ) to fully cook the turkey. It takes the oven 15 min to warm up. Including the time it takes for oven to warm up, which inequality should be used to calculate the weight of a turkey that can be roasted in 180 min?

a)

$20p+15\le180$

b)

$15p+20\le180$

c)

$20p+15\ge180$

d)

$15p+20\ge180$

25.

The capacity of the car's gas tank is 20 gallons. The price of gas is $3.85 per gallon. Approximately how much will Emily pay to completely fill the car's gas tank?

a)

$20

b)

$40

c)

$60

d)

$80

26.

The height of a bucket is 60 centimeters (cm). The bucket is 2/3 full, as shown.

Alison removes 30% of the remaining water in the bucket. How deep is the water remaining in the bucket?

a)

22 cm

b)

28 cm

c)

32 cm

d)

38 cm

27.

Jorge is tiling a 650 square foot (ft²) kitchen floor. The kitchen has cabinets covering 90 ft²of the kitchen that Jorge will not need to tile underneath. The tiles Jorge is using each cover 1.5 ft². Which inequality can Jorge use to calculate the minimum number of tiles ( x ) he will need to complete the kitchen?

a)

$1.5x+90\ge650$

b)

$1.5x+90\le650$

c)

$1.5x-90\ge650$

d)

$1.5x-90\le650$

28.

Audrey can use her laptop in engery-saving battery mode for seven hours. In regular battery mode, her laptop can be used for five hours. Audrey used her laptop for three hours in energy-saving battery mode. How many more hours can she use it in regular battery mode?

a)

$2\ \frac{1}{7}$ hours

b)

$2\ \frac{4}{5}$ hours

c)

$2\ \frac{6}{7}$ hours

d)

$4\ \frac{1}{5}$ hours

29.

Four years of college will cost Janette $30,000. Each year of college will cost the same amount. Janette will receive a one-time scholarship of $2,000. She will borrow y dollars in loans each year to pay for the remaining cost. Which equation can be used to calculate the amount of money she will need to borrow for her 4 years of college?

a)

$30,000=2,000\left(4+y\right)$

b)

$30,000=4\left(2,000\right)+y$

c)

$30,000=4\left(y+2,000\right)$

d)

$30,000=4y+2,000$

30.

A line that goes from one end of the circle to the other and crosses the center point.

a)

center

b)

diameter

c)

dime eater

d)

radius

31.

What is the formula for area of a circle?

a)

A = π×r²

b)

A = 2×π×r

32.

What is the formula for Circumference?

a)

C = π×r²

b)

C = 2×π×r

33.

What is the radius of this circle?

a)

18 in

b)

10 in

c)

9 in

d)

8 in

34.

What is the diameter of this circle?

a)

3.5 m

b)

3 m

c)

5 m

d)

7 m

35.

What is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

36.

Find the area of the circle below.

a)

100 cm²

b)

225 cm²

c)

9 cm²

d)

28.26 cm²

37.

Find the area of the circle

a)

56.52 in²

b)

254.34 in²

c)

1017.36 in²

d)

113.04 in²

38.

Find the circumference (to the nearest whole number)

a)

88 in

b)

44 in

c)

116 square in

d)

None of the above

39.

Daniel wants to buy cookies for his friend. The
radius of a cookie is 5 inches. What is the cookie’s
circumference?

a)

10 in

b)

2.5 in

c)

15.7 in

d)

31.4 in

40.

2 - 4

a)

2

b)

-8

c)

6

d)

-2

41.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

42.

-18 +(-6)

a)

3

b)

-3

c)

-12

d)

-24

43.

-2 + (-8)

a)

-6

b)

6

c)

-10

d)

10

44.

-9 - 5

a)

-14

b)

4

c)

-4

d)

45

45.

-3 +(- 2)

a)

-1

b)

5

c)

-5

d)

-6

46.

-4 - 2

a)

6

b)

-2

c)

-8

d)

-6

47.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

48.

-3n + 8 > 29

a)

n > 7

b)

n < -7

c)

n > -7

d)

n < 7

49.

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

50.

16 - 4a > 8

a)

a<-2

b)

a>-2

c)

a<2

d)

a>2

51.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

52.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

53.

A die is rolled once. What is the probability of rolling a 5? Your answer should be a fraction in simplest form.

a)

1/6

b)

1/3

c)

2/5

d)

5/6

54.

A die is rolled once. What is the probability of rolling an odd number? Your answer should be a fraction in simplest form.

a)

1/6

b)

1/2

c)

3/6

d)

2/5

55.

What is the P( not purple) on this spinner?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

56.

What is an outcome?

a)

The result of an experiment

b)

The chance or likelihood of an event

c)

A fraction, decimal, or a percent

d)

An activity that gives various results

57.

What is the probability of spinning green or blue?

a)

0

b)

5/12

c)

1/2

d)

3/4

58.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?

a)

2/7

b)

1/6

c)

5/7

d)

25/26

59.

The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a letter that is a vowel?

a)

7/11

b)

4/11

c)

2/11

d)

5/26

60.

a)

16 square inches

b)

12 square inches

c)

24 square inches

d)

48 square inches

61.

Express the ratio as a fraction in simplest form:
18 ounces to 3 cups

a)

6 to 1

b)

1/6

c)

18/3

d)

3/18

62.

Find the circumference of the circle. Use 3.14 for π.

a)

63.585 in²

b)

28.26 in

c)

14.13 in

d)

4.5 in

63.

8 is what percent of 20?

a)

40%

b)

1.6%

c)

250%

d)

2.5%

64.

18 is 40% of what number?

a)

222.22

b)

7.2

c)

72

d)

45

Math Review

Total questions: 64

Worksheet time: 2hrs 57mins

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