Free Printable Unit 4 Review Questions

1.

Students on a field trip order lunches that each cost $8.95. The
school pays the lunch bill plus a $1.35 tip for each lunch that is purchased.
Which of the following expressions represents the total cost that the school will
pay for n lunches?

a)

8.95n + 1.35n

b)

(8.95n + 1.35)n

c)

8.95 + 1.35 + n

d)

8.95n - 1.35n

2.

Which expression has the smallest value?

a)

3² x 4²

b)

2⁴ x 3²

c)

2³ x 4²

d)

2² x 3³

3.

Which expression gives the result of 0.75 when,

a = 0.25, b = 1.5, and c = 0.8

a)

ac + 2b

b)

6bc + 4a

c)

12a - b²

d)

8(a + b + c) - 5c

4.

Which expression is equivalent to 12x + 20y?

a)

3(4x + 7y)

b)

4(3x + 5y)

c)

6(2x + 3y)

d)

12(x + 8y)

5.

When x = 6. Which expression has the least value?

a)

2x + 10

b)

3x + 3

c)

4x - 2

d)

5x - 10

6.

Select all the ways that are equivalent to 16.

a)

2⁴

b)

2³ + 2³

c)

8²

d)

4² + 4²

7.

Use the expression below to combine like terms.

5d + 4e +3d + 2e

(a)

8.

Which is equivalent to 3^{4 ?}

a)

27

b)

9

c)

81

d)

12

9.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

10.

Which is equivalent to 2⁴

a)

8

b)

20

c)

16

d)

12

11.

Which is equivalent to 4 x 4 x 4 x 4 x 4

a)

4⁶

b)

5⁴

c)

4⁴

d)

4⁵

12.

$4^2+15\div3$

Which operation do you need to solve first?

a)

Addition

b)

Division

c)

Exponent

13.

$Solve:\ 4^2+7\times2$

a)

46

b)

22

c)

30

d)

13

14.

$Solve:\ 3^3\div9+2$

a)

3

b)

20

c)

5

d)

11

15.

In PEMDAS, what does the M stand for?

a)

Masterful

b)

Mad

c)

Math

d)

Multiplication

16.

What operation comes first and WHY?
(8x7-6)÷30

a)

Multiplication, because it is inside the parenthesis

b)

Multiplication, because you read left to right

c)

Division, because it comes first alphabetically

d)

Subtraction, because it's easy and gives the answer 1

17.

Kelly had 15 pieces of gum. He chewed 8 pieces. Which is the best equation to show how many he had left?

a)

15 + 8 = 23

b)

15 x 8 = 120

c)

15 - 8 = 7

d)

15 - 7 = 9

18.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

19.

2 + (9²- 4)

a)

16

b)

77

c)

79

20.

90 - 5² × 3

a)

15

b)

240

c)

195

21.

18 + (6 – 2) × 2

a)

26

b)

29

c)

44

d)

40

22.

Simplify: 4x + 2 – x + 5

a)

3x + 7

b)

5x + 7

c)

3x + 3

d)

5x + 3

23.

Simplify: 2a + 3b + 4a – 5ab

a)

6a – 8b

b)

6a + 3b – 5ab

c)

4ab

d)

2a + 3b – 5ab

24.

Simplify: 3x + 6 + 2x – 4

a)

5x + 10

b)

x + 2

c)

x + 10

d)

5x + 2

25.

Simplify: 3x + 1 + 3x + 1

a)

6x + 2

b)

8x

c)

3x² + 2

d)

9x + 2

26.

Simplify: 3 + 12x – 4x

a)

11x

b)

3 + 8x

c)

3 + 16x

d)

8x - 3

27.

Simplify: 3x² + 4x + 5x²

a)

8x² + 4x

b)

12x⁵

c)

12x²

d)

8x⁴ + 4x

28.

Simplify: 9ab + b – 4ab + 3a

a)

3a + b + 13ab

b)

3a + b + 5ab

c)

9ab

d)

9ab² - 4ab + 3a

29.

Simplify: 8x + y – 3x + 2y

a)

11x + 3y

b)

5x + 3y

c)

5x² + 2y²

d)

8xy

30.

Identify the variable(s) in the expression 14m + 18 + 6n

a)

m and n

b)

14m and 6n

c)

18

d)

14 and 6

31.

Identify the coefficient(s) in the expression 14m + 18 + 6n

a)

m and n

b)

14m and 6n

c)

18

d)

14 and 6

32.

Identify the constant(s) in the expression 14m + 18 + 6n

a)

m and n

b)

14m and 6n

c)

18

d)

14 and 6

33.

Identify the constant(s) in 8x + y – 3x + 2y

a)

8, 1, 3 and 2

b)

none

c)

x and y

d)

8, 3 and 2

34.

Identify the coefficient(s) in 8x + y – 3x + 2y

a)

8, 1, 3 and 2

b)

none

c)

x and y

d)

8, 3 and 2

35.

What is the value of x + y if x = 3 and y = 5?

a)

8

b)

5

c)

3

d)

2

36.

Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

37.

4y – 5
y = 6

a)

12

b)

13

c)

19

d)

34

38.

What is the first thing you do when evaluating an expression

a)

Substitute value in for the variable

b)

Combine like terms

c)

Parenthesis

39.

Evaluate 2r + 1 if r = 3

a)

6

b)

5

c)

7

d)

8

40.

Evaluate 7y - 3y for y=2

a)

40

b)

73

c)

8

d)

4

41.

Evaluate 2r + 1 if r = 3

a)

6

b)

5

c)

7

d)

8

42.

Evaluate the expression when m = 5

m² + 4

a)

9

b)

14

c)

21

d)

29

43.

The difference of a number and 8

a)

8 - n =

b)

8n=

c)

n - 8 =

d)

8 x n =

44.

Three more than a number.

a)

x + n =

b)

x + 3 =

c)

3 + x =

d)

3n=

45.

The quotient of a number and 15

a)

15 x n =

b)

n + 15 =

c)

15 - n =

d)

n/15 =

46.

The product of 12 and a number k

Select all correct expressions

a)

12 x k =

b)

k - 12 =

c)

12k =

d)

12(k) =

47.

15 less than a number x

a)

15 - x =

b)

x + 15 =

c)

15 + x =

d)

x - 15 =

48.

the sum of 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

49.

5 more than the product of 7 and s

a)

7s + 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

50.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

51.

the difference of 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

$3\div7n$

52.

Five times Mike's age, increased by nine

a)

5(x+9)

b)

9(5+x)

c)

9x+5

d)

5x+9

53.

5 times a number, minus 8

a)

5m - 8

b)

5(m + 8)

c)

8m + 5

d)

8(m + 5)

54.

5 times a number, minus 8

a)

5m - 8

b)

5(m + 8)

c)

8m + 5

d)

8(m + 5)

55.

The product of 6 and y..

a)

6 + y

b)

6y

c)

y - 6

d)

y / 6

56.

46 less than a number

a)

46 - n

b)

n - 46

c)

46 + n

d)

n + 46

57.

12 times the sum of a and b

a)

a + b - 12 =

b)

12 x a = b

c)

12(a+b) =

d)

12 x a - b =

58.

A number y decreased by the product of 4 and 5

a)

y - 45 =

b)

y - (4 x 5) =

c)

4 x 5 - y =

d)

y - 4/5 =

59.

Sarah earns $20 upfront and $6 an hour. Select the equation that models this situation where x is the number of hours worked and y is the total money earned.

a)

y = 20x + 6

b)

y = 6x + 20

c)

y = 6x

d)

y = -6x + 20

60.

At the bowling alley, Mary spent $6 on shoe rental and had to pay $4 per game. Select the equation below that represents Mary's total cost, y, for x number of games bowled.

a)

y = 6 - 4x

b)

y = 10x

c)

y = 6x + 4

d)

y = 4x + 6

61.

Maya earned 10 points extra credit on her next test. Each question is worth 4 points. Which equation below matches this situation where x is the number of questions and y is the total amount of points earned.

a)

x = 4y + 10

b)

y = 10x + 4

c)

y = 14x

d)

y = 4x + 10

Unit 4 Review Questions

Total questions: 61

Worksheet time: 6hrs 5mins

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