Free Printable Chapter 3 Review

Worksheets

Chapter 3 Review

Total questions: 61

Worksheet time: 1hrs 1mins

Name

Class

Date

What are the terms in the expression?
-4x + 6y - 2

-4x, 6y, -2

x, y

4x, 6y

-2

What are the variables in the expression?
-4x + 6y - 2

-4x, 6y, -2

x, y

4x, 6y

-2

What are the coefficients in the expression?
-4x + 6y - 2

-4x, 6y, -2

x, y

4x, 6y

-4, 6

What are the constants in the expression?
-4x + 6y - 2

-4x, 6y, -2

x, y

4x, 6y

-2

What are the terms in the expression?
4 + 16v

4, 16v

+16

What are the variables in the expression?
4 + 16v

4, 16v

+16

What are the coefficients in the expression?
4 + 16v

4, 16v

+16

What are the constants in the expression?
4 + 16v

4, 16v

+16

Which of the following expressions contains the coefficients 4 and -6?

4n - 6n + 4

4n + 6n - 4

-4n - 6n

-4n + 6n

10.

Which answer choice is NOT an example of a constant?

-15

11.

Which answer choice is NOT an example of a constant?

-5g

0.5

1.58

-1/2

12.

True or False: In the expression -4x + 2, the coefficient is 4.

True

False

13.

Write an algebraic expression:
three times a number

3/n

3+n

3-n

14.

Write an algebraic expression:
10 less than a number

10n

10 - n

n - 10

10/n

15.

4 is the __________ of 4n.

equation

variable

coefficient

solution

16.

things that are being added or subtracted in an expression

term

variable

factor

coefficient

17.

What is the coefficient of x?
9 - x

-1

18.

things that are being multiplied or divided in an expression

term

variable

factor

coefficient

19.

A math phrase that contains numbers, variables and operations

Expression

Equation

20.

How many factors does the following term have:

-9xyz

-9

21.

10 more than x

(a)

22.

x plus 25

(a)

23.

50 increased by x

(a)

24.

The total of 17 and a number

(a)

25.

The product of 12 and n

(a)

26.

8 times x

(a)

27.

Three times a number, increased by 12

USE x AS YOUR VARIABLE

(a)

28.

Twice a number, decreased by four

USE x AS YOUR VARIABLE

(a)

29.

Write an expression for the following situation:

Cooper earns $25 a day working after school at the supermarket. How much money will he earn in d days?

(a)

30.

Write an expression for the following situation:

It costs $5 to get into the county fair. It costs $2 for one ride ticket. How much will you spend to go to the fair and purchase t tickets?

(a)

31.

Write an expression for the following situation:

Your mom wins $100 on a scratch-off ticket. She wants to split it between you and your siblings. How much will each of you receive if there are c children?

(a)

32.

Write an expression for the following situation:

A pizza delivery driver earns $8 an hour and works h hours per day. He also spends $20 a day on gas. How much will the driver earn in one day?

(a)

33.

10 decreased by n

(a)

34.

Twice a number

USE x AS YOUR VARIABLE

(a)

35.

The quotient of 60 and x

(a)

36.

The sum of 25 and a number

USE x AS YOUR VARIABLE

(a)

37.

Name the property shown: $3\ \cdot\ x\ \cdot\ 7\ =\ 3\ \cdot\ 7\ \cdot\ x\$

Associative Property

Distributive Property

Commutative Property

Identity Property of Multiplication

38.

Name the property shown: 2(3x + 1) = 6x + 2

Associative Property

Distributive Property

Multiplication Property

Commutative Property

39.

Which shows how you would use the distributive property to multiply 4(57)?

4⋅5 + 4⋅7

4⋅50 + 7

4⋅50 + 4⋅7

40.

Which expression shows how you would use the distributive property to multiply 8(9.76)?

8⋅9 + 0.76

8⋅9 + 8⋅0.7 + 8⋅0.06

8⋅9 + 8⋅0.7 + 8⋅0.6

41.

Write the expression for:

The difference of a number 'n' and 7 is -2

n - 7 = -2

7 - n = -2

$\frac{n}{\ 7\ }=-2$

$\frac{7}{\ n\ }=-2$

42.

Write the expression for:

Twice the sum of 'x' and 19

2x + 19

x + 19 ⋅ 2

2(x + 19)

(x + 19) ÷ 2

43.

What are the terms of the expression: 3x - 5 - 4x + 1

3x, 5, 4x, 1

3, -4

-5, 1

3x, -5, -4x, 1

44.

What are the like terms of the expression: 7x - 19 + 8x - 4

7, -19, 8, -4

7x, 8x and 19, 4

7x, 8x, and -19, -4

45.

What are the coefficients of the expression: 11 - 9x + 8 + x

-9x, x

11, 8

-9, 1

9, 1

46.

Simplify: 6x - 12 + x + 9 - 4x

11x + 21

3x + -3

11x + -3

3x + 21

47.

Simplify: x + 9(x - 3) + 12

10x + 9

-17x + 12

10x + -15

9x + -15

48.

Simplify: 4(3x + 8)

7x + 12

44x

12x + 32

-20x

49.

Write and simplify an expression for the perimeter of the figure.

9y + -5

5y + -5

18y

18y + -10

50.

Simplify: -5(6x + 7)

-30x + -35

-65x

x + 2

51.

Write an expression for the area of the figure.

96m + 4

100m

192m + 8

52.

Simplify: 4x - 3(2x + 1) - 14

-2x + -17

-2x + -11

-5x + -14

-19x

53.

Simplify: x - (2x - 3) + 20

3x + 17

-x + 23

-3x + 23

-x + 17

54.

Write the expression 7 ∙ m ∙ m ∙ m using exponents.

7+3m

21m

7m²

7m³

55.

Evaluate x²+ 3 when x=6

56.

Simply the expression 3x + 6 + 4x + 7 by combining like terms.

7x + 13

9x + 11

12x + 42

57.

Factor the expression 9x + 27 using the GCF.

9( x + 3 )

9x + 3

3(3x + 9)

58.

Factor Completely:

22-4

22(22-4)

2(11-2)

2(22-4)

59.

What does the Distributive Property mean?

states that for any numbers a, b, and c, the equation a(b + c) = ab + ac is true.

states that for any numbers a, b, and c, the equation a(b + c) = ab x ac is true.

states that for any numbers a, b, and c, the equation a(b + c) = a + b + a + c is true.

states that for any numbers a, b, and c, the equation a(b + c) = a - b + ac is true.

60.

Which of the following expressions represents the total area of the rectangle?

5(2 + 3)

3(2 + 5)

2(3 + 5)

2(3) + 3(5)

61.

Represent using the Distributive Property:
2 x 43

(2 x 40) + (2 x 3)

(2 x 90) + (2 x 4)

(8 x 20) + (8 x 4)

(8 x 40) + (8 x 9)

100 %

Chapter 3 Review

Total questions: 61

Worksheet time: 1hrs 1mins

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