Free Printable Review for 3A

1.

Which property is used in the following expression?

(6 x 4) x 8 = 4 x (8 x 6)

a)

Associative Property of Multiplication

b)

Associative Property of Addition

c)

Distributive Property of Multiplication

d)

Commutative Property of Addition

2.

Which property of addition is used in the following?

(3 + 5) + 2 = 3 + (5 + 2)

a)

distributive property

b)

associative property

c)

identity property

d)

commutative property

3.

Which is an example of the Associative Property of Addition?

a)

(5 + 9) + 3 = 5 + (9 + 3)

b)

2 + (-2) = 0

c)

6 + 5 = 5 + 6

d)

4 + 0 = 4

4.

Which is an example of the Identity Property of Addition?

a)

(2 + 4) + 9 = 2 + (4 + 9)

b)

3 + 0 = 3

c)

8 x 1 = 8

d)

6 + 2 = 2 + 6

5.

Which equation shows the Commutative Property of Multiplication?

a)

4 x 9 = 9 x 4

b)

6 x 2 - 3 x 2 = (6 - 3) x 8

c)

8 x 3 = 8 + 8 + 8

d)

7 x 1 = 7

6.

Which of the following does NOT show the Commutative Property?

a)

6 + y = y + 6

b)

x + y = y + x

c)

xy - 7 = xy

d)

yx = xy

7.

Which equation shows the Identity Property of Multiplication?

a)

a x 1 = a

b)

a + a + a = 3 x a

c)

a(b + c) = ab + ac

d)

(a + b) + 7 = a + (7 + b)

8.

Which of the following is an example of the Commutative Property of Addition?

a)

(9 + 6) + 7 = 9 + (6 + 7)

b)

5 x 1 = 5

c)

2 + 4 = 3 + 2

d)

8 + 9 = 9 + 8

9.

Which operation will not change the value of any nonzero number?

a)

Multiplying by One

b)

Dividing by Zero

c)

Adding One

d)

Multiplying by Zero

10.

Which property is used in the following expression?

(a x b) x c = a x (b x c)

a)

Associative Property of Addition

b)

Associative Property of Multiplication

c)

Distributive Property

d)

Commutative Property of Addition

11.

Which Property of Addition does 7 + 0 = 7 illustrate?

a)

Zero Property

b)

Identity Property

c)

Distributive Property

d)

Commutative Property

12.

Which of the following does NOT show the Commutative Property of Addition?

a)

3 + x = x + 3

b)

a + b = b + a

c)

ab = ba

d)

3x + 4y = 4y + 3x

13.

Which operation should you perform first in the expression

4\times6-3

a)

addition

b)

multiplication

c)

subtraction

d)

division

14.

Which operation should you perform first in the expression

1+8\div2

a)

addition

b)

subtraction

c)

multiplication

d)

division

15.

Which operation should you perform first in the expression

\left(2+5\right)\ -\ 4^2

a)

addition

b)

multiplication

c)

parenthesis

d)

subtraction

16.

Which operation should you perform first in the expression

7\div7^{3\ }\times7

a)

division

b)

exponent

c)

multiplication

d)

addition

17.

Which operation should you perform first in the expression

8^2\div\left(8-4\right)^2

a)

exponent

b)

parenthesis

c)

division

d)

subtraction

18.

Which operation should you perform first in the expression

-4+3^3\div5

a)

exponent

b)

division

c)

addition

d)

subtraction

19.

What is the value of the expression

7 + 8 - 2

a)

9

b)

31

c)

13

d)

14

20.

What is the value of the expression

9 + (12 - 10)

a)

9

b)

40

c)

13

d)

11

21.

What is the value of the expression
$\left(20-15\right)\times2$

a)

9

b)

40

c)

10

d)

16

22.

$10\div5+7$

What is the value of the expression

a)

13

b)

12

c)

12

d)

9

23.

$6+2\times3$

What is the value of the expression

a)

12

b)

24

c)

16

d)

10

24.

What is the value of the expression

\left(2\times4\right)+8

a)

14

b)

16

c)

9

d)

10

25.

What is the value of the expression

14+2\times0

a)

0

b)

40

c)

14

d)

9

26.

What is the value of the expression

\left(5-1\right)\times10

a)

50

b)

10

c)

15

d)

40

27.

A sixth-grade student bought three cans of tennis balls for $4 each. Sales tax for all three cans was $0.95. Write an expression to show the total amount the student paid.

a)

$3\times4+.95$

b)

$3\times.95\times4$

c)

$\left(3\times4\right)\times.95$

d)

$\left(4\times.95\right)+3$

28.

Sam bought two CDs for $13 each. Sales tax for both CDs was $3. How much did Sam pay in all?

a)

$18

b)

$78

c)

$29

d)

$14

29.

4y – 5
y = 6

a)

12

b)

13

c)

19

d)

34

30.

r(r – 9)
r = 11

a)

12

b)

22

c)

44

d)

99

31.

5(v + 1)
v = 4

a)

26

b)

12

c)

11

d)

25

32.

3u + 12
u = 7

a)

33

b)

34

c)

35

d)

23

33.

(s – 5)²
s = 13

a)

34

b)

64

c)

144

d)

16

34.

b(b + 12)
b = 2

a)

28

b)

14

c)

144

d)

24

35.

2q + 3
q = 5

a)

11

b)

15

c)

17

d)

13

36.

m² – 15
m = 8

a)

12

b)

32

c)

49

d)

32

37.

4(t – 2) + 3
t = 10

a)

35

b)

24

c)

12

d)

36

38.

n² + 7
n = 3

a)

16

b)

17

c)

44

d)

11

39.

Distribute.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

40.

Which of the following expressions is equivalent to:

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

41.

Simplify:

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

42.

Which of the following expressions is equivalent to

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

43.

Which of the following expressions is equivalent to:

4(x - 6)

a)

24 - 4x

b)

4x - 6

c)

x - 24

d)

4x - 24

44.

Which of the following expressions is equivalent to:

(b + 8)5

a)

b + 40

b)

5b - 40

c)

5b + 40

d)

5b + 8

45.

Simplify:

2(4x - 7)

a)

8x -14

b)

8x-7

c)

6x+7

d)

8x+14

46.

Which of the following expressions is equivalent to:

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

47.

Simplify the following expression:

5(2 - 7n)

a)

52 - 7n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

48.

Distribute

9(x - 5)

a)

9x -45

b)

9x + 5

c)

9x + 14

d)

9x + 45

49.

Distribute

10(x - 20)

a)

10x + 20

b)

10x - 200

c)

10x + 30

d)

10x - 20

50.

The product of seven and a number increased by five

a)

7+n+5

b)

7/n+5

c)

7n+5

d)

7-n+5

51.

the difference of 100 and a number w

a)

100 + w

b)

100 / (6 + w)

c)

100 - w

d)

100 / 6 + w

52.

Product of 4 and p

a)

4/p

b)

4p

c)

12/4p

d)

12/4x

53.

The sum of 6 and x

a)

x + 6

b)

6/x

c)

x + 4

d)

6x

54.

What is the quotient of y and 5?

a)

y - 5

b)

y + 5

c)

y X 5

d)

y/5

55.

Three times a number increased by nine

a)

3h-9

b)

3(h-9)

c)

3(h+9)

d)

3h+9

56.

Write the phrase as an expression. "10 less than a number n"

a)

10-n

b)

n-10

c)

n+10

d)

10-n

57.

A number decreased by 9

a)

9 - x

b)

x + 9

c)

x/9

d)

x - 9

58.

Three times the difference of a number and 7

a)

3x - 7

b)

3(x - 7)

c)

3(x + 7)

d)

3(7) - y

59.

twice h increased by 5

a)

2 + h + 5

b)

h ∙ h + 5

c)

5 ∙ h ∙ 2

d)

2h + 5

60.

1. Ted bought a dolphin poster for $12. He now has $5. Which choice models this situation?

a)

m - 12 = 5

b)

m - 5 = 12

c)

m + 5 = 12

d)

m + 12 = 5

61.

Which choice models this situation?
Robyn had some video games, then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10/4 = v

d)

4v = 10

62.

5. After dropping 5ºF, the temperature was 37ºF. Which choice models this situation?

a)

d - 37 = 5

b)

d + 5 = 37

c)

d - 5 = 37

d)

d + 37 = 5

63.

2. Cheryl gets paid $8 per hour at her job at the record store. She made a total of $96 last week. Write a multiplication equation to show how many hours she worked last week.

a)

96h = 8

b)

h/96 = 8

c)

8h = 96

d)

h/8 = 96

64.

In this soccer season, Emma has scored 1 more than twice the number of Nick's goals. If Emma has scored 15 goals, which equation can be used to find x, the number of Nick's goals?

a)

x - 15 = 1

b)

x + 1 = 15

c)

2x + 1 = 15

d)

x + 1 = x + 15

65.

Joe has a jar that contains 20 pieces of candy. There are 7 jolly ranchers and c other candies. Write an equation to represent the situation.

a)

c + 7 = 20

b)

c + 20 = 7

c)

c - 20 = 7

d)

c - 7 = 20

66.

Sally has 100 beads to make n necklaces. Each necklace will have 20 beads. Write an equation to represent the situation.

a)

20n = 100

b)

100n = 20

c)

n + 20 = 100

d)

n - 20 = 100

67.

Bob is x years old. His 10-year old sister is 3 years younger than him. Write an equation to represent the situation.

a)

x - 10 = 3

b)

x - 3 = 10

c)

10 + x = 3

d)

3x = 10

68.

Lee rented skates for h hours. The rental fee was $3 per hour and he paid a total of $9. Write an equation to represent the situation.

a)

h + 3 = 9

b)

h - 3 = 9

c)

9h = 3

d)

3h = 9

69.

Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.

8•1\ and\ 8

a)

no; The expressions are not equivalent.

b)

yes; Identity Property

c)

yes; Associative Property

d)

yes; Commutative Property

70.

Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.

10\div5\ and\ 5\div10

a)

no; The expressions are not equivalent.

b)

yes; Identity Property

c)

yes; Associative Property

d)

yes; Commutative Property

71.

Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.

7•(6•t)\ and\ (7•6)•t

a)

no; The expressions are not equivalent.

b)

yes; Identity Property

c)

yes; Associative Property

d)

yes; Commutative Property

72.

Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.

23+15\ and\ 15+23

a)

no; The expressions are not equivalent.

b)

yes; Identity Property

c)

yes; Associative Property

d)

yes; Commutative Property

73.

Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.

18–(7–3)\ and\ (18–7)–3

a)

no; The expressions are not equivalent.

b)

yes; Identity Property

c)

yes; Associative Property

d)

yes; Commutative Property

74.

Generate an equivalent expression using the Distributive Property.

7(r-7)

a)

7r-7

b)

r-49

c)

7r-49

d)

49-7r

75.

Which expression is equivalent to

24\cdot c

?

a)

$20+4\cdot c$

b)

$\left(c\cdot20\right)\cdot4$

c)

$\left(20\cdot c\right)+\left(4\cdot c\right)$

d)

$\left(20c\right)+4$

76.

Marcus used the distributive property to simplify this expression

8+3\left(x-4\right)

Which expression is equivalent to what he wrote?

a)

$11\left(x-4\right)$

b)

$8+3\cdot x-3\cdot4$

c)

$11\cdot x-11\cdot4$

d)

$8+3\cdot x-4$

77.

A _____________ is a symbol, usually a letter that stands for a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

78.

A(n) __________________ consists of one or more numbers, variables, and operations.

a)

numeric expression

b)

term

c)

variable

d)

algebraic expression

79.

Which of the following is an example of an algebraic expression?

a)

3(2 + 7) - 10

b)

78 - 5 + 3

c)

3x + 6y

d)

8(3) - 5 + 2

80.

A ______________ is a number multiplied by a variable.

a)

term

b)

variable

c)

coefficient

d)

numerical expression

81.

How many terms are in the given expression?
5² + 7n - 2f

a)

6

b)

5

c)

3

d)

2

82.

Which expression represents: "the product of 3 and x increased by 5"?

a)

5x - 3

b)

3 - 5x

c)

3x + 5

d)

3x(5)

83.

What is the coefficient of the following expression?
7c + 8

a)

c

b)

7

c)

8

d)

1

84.

The algebraic expression 6x - 4 can be written as which of the following?

a)

x to the sixth power decreased by four

b)

The product of six and a number x decreased by four

c)

Six times a number x less than four

d)

four less than six

85.

the quotient of a number and 9

a)

n + 9

b)

n - 9

c)

9n

d)

n/9

86.

The product of five and w

a)

5+w

b)

5w

c)

w-5

d)

5-w

87.

A variable is a ________________ or __________________ that represents an unknown value.

a)

letter or symbol

b)

term or expression

c)

constant or coefficient

d)

noughts or crosses

88.

The coefficient is a number multiplied by a variable. It is the number in _______________ of the variable.

a)

in front

b)

behind

89.

A constant is a ______________ value, a number on its own, whose value does not change.

a)

fixed

b)

changing

90.

The terms of an expression are the parts of the expression which are separated by addition or ____________________.

a)

subtraction

b)

multiplication

c)

division

91.

Identify the variable of the algebraic expression:

3x + 5

a)

3

b)

x

c)

5

d)

3x and 5

92.

Identify the constant of the algebraic expression:

3x + 5

a)

3

b)

x

c)

5

d)

3x and 5

93.

Identify the coefficient of the algebraic expression:

m - 6

a)

1

b)

m

c)

-6

d)

6

94.

Identify the constant of the algebraic expression:

-r + 2

a)

r

b)

-r

c)

2

d)

-1

95.

How many terms are in the expression?

a)

1

b)

2

c)

3

d)

4

96.

Which type of math problem has an equal sign?

a)

equation

b)

expression

c)

inequality

d)

term

97.

Identify the name for the -5 in the expression.

a)

constant

b)

coefficient

c)

term

d)

variable

98.

Identify the name for the 12 and 4 in the expression.

a)

variables

b)

constants

c)

terms

d)

coefficients

Review for 3A

Total questions: 98

Worksheet time: 7hrs 34mins

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