Free Printable 7-CHAPTER 5 TEST

1.

Add the polynomial (-3x + 4) + (8x - 5)

a)

5x - 9

b)

5x - 1

c)

11x - 1

d)

11x - 9

e)

None of these

2.

Combine like terms to simplify:
(5x + 2) + (4x + 5)

a)

9x -7

b)

-9x-11

c)

9x+7

d)

x+7

3.

(4x + 3) + (x - 5)

a)

5x + 2

b)

5x - 2

c)

5x + 8

d)

5x - 8

4.

a)

A

b)

B

c)

C

d)

D

5.

Add the expressions:

(3x+15) + (4x+13)

a)

7x+ 28

b)

35x

c)

x+2

d)

7x - 2

6.

Subtract the expressions:

(7a + 4) - (9a + 2)

a)

-2a + 6

b)

16a + 6

c)

-2a + 2

d)

2a + 2

7.

Add the expressions:

(7k + 9) + (4k - 3)

a)

3k + 6

b)

11k + 6

c)

-11k + 6

d)

- 3k + 6

8.

Subtract the expressions:

(2x + 5) − (x + 4).

a)

x + 1

b)

3x + 9

c)

−x + 1

d)

x + 9

9.

(2x + 4) + (3x + 5)

a)

14x

b)

6x + 8x

c)

5x + 9

d)

x - 1

10.

(4x - 3) + (9x + 5)

a)

13x +2

b)

5x - 8

c)

13x + 8

d)

13x - 2

11.

(2x + 5) - (6x + 3)

a)

8x + 8

b)

-4x + 2

c)

-4x + 8

d)

4x - 2

12.

(5x + 2) - (2x - 5)

a)

3x - 3

b)

7x + 7

c)

3x + 3

d)

3x +7

13.

(2x + 4) + (3x + 5)

a)

14x

b)

6x + 8x

c)

5x + 9

d)

x - 1

14.

(4x - 3) + (9x + 5)

a)

13x +2

b)

5x - 8

c)

13x + 8

d)

13x - 2

15.

Add and simplify.

(–9x – 12) + (x – 8)

a)

-10x - 4

b)

-8x + 20

c)

-8x - 20

d)

-10x + 4

16.

Find (2x + 3) + (x + 4)

a)

2x + x

b)

12 + 3x

c)

2x² + 12

d)

3x + 7

17.

5(x-4) + (2x-7)

a)

3x - 28

b)

5x + 2x -27

c)

7x² + 11

d)

7x -27

18.

Find the difference:

(8 - u) - (5u + 1)

a)

6u + 7

b)

-4u + 7

c)

-6u + 7

d)

4u - 7

19.

(-11a + 7) – (11a – 7)

a)

-22a - 14

b)

0

c)

-22a + 14

d)

-22a

20.

(7a + 4) - (9a + 2)

a)

-2a + 6

b)

2a + 6

c)

-2a + 2

d)

2a + 2

21.

(4y - 8) - (3y - 9)

a)

7y - 17

b)

y + 1

c)

y - 17

d)

7y + 17

22.

Find the difference (2x + 6) – (7x + 3).

a)

-5x + 3

b)

-5x + 9

c)

9x + 9

d)

5x + 3

23.

Find the difference (2x + 5) − (x + 4).

a)

x + 1

b)

3x + 9

c)

−x + 1

d)

x + 9

24.

7(y+9)

a)

7+9

b)

7y+63

c)

-7y-63
-7y+63

d)

7x+63

25.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

26.

-4(-4d - 5)

a)

-16d+20

b)

16+20

c)

16d+20

d)

16s-20

27.

-8(6x + 3)

a)

48X+3

b)

-48X-3

c)

14x+3

d)

-48x-24

28.

-3(3 - 8j)

a)

-6-11j

b)

9+24j

c)

-9+24j

d)

9-24j

29.

(-5f + 8)4

a)

-20f+32

b)

20f+32

c)

-20f-32

d)

-5f+12

30.

2(4X-7)

a)

8x-14

b)

8x-7

c)

6x+7

d)

8x+14

31.

Use the distributive property to write an equivalent expression.
3(x + 4)

a)

3x + 4

b)

3x + 7

c)

3x + 12

d)

x + 7

32.

Use the distributive property to write an equivalent expression.
-8(z - 5)

a)

-8z - 40

b)

-8z + 40

c)

-8z - 13

d)

-8z - 13

33.

-4(k - 7)

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

34.

-1(3v - 8)

a)

-3v-8

b)

3v-8

c)

-3v+8

d)

6v+8

35.

4(-p - 6)

a)

4p - 24

b)

4p + 24

c)

-4p + 24

d)

-4p + -24

36.

Simplify 5(2 - 7n)

a)

52 - 7n

b)

10 - 7n

c)

10 + -35n

d)

10 + 35n

37.

Distribute

9(x - 5)

a)

9x + -45

b)

9x + 5

c)

9x + 14

d)

9x + 45

38.

Distribute
-15( 2x - 2)

a)

-15 + 2x + 2

b)

-30x + 30

c)

-30x - 30

d)

-15x + 2

39.

Use the distributive property to simplify the expressions: $10\left(4v+y\right)$

a)

$40v+10y$

b)

$\frac{4}{10}v\ +\frac{1}{10}y$

c)

$14v+11y$

d)

$14v\ +10y$

40.

Use the distributive property to simplify the expressions: $6\left(11+6k\right)$

a)

$\frac{6}{11}+k$

b)

$66\ +36k$

c)

$17+12k$

d)

$5$

41.

Use the distributive property to simplify the expressions: $4\left(7d+9\right)$

a)

$\frac{7}{4}d+\frac{9}{4}$

b)

$11d+13$

c)

$3d+5$

d)

$28d\ +36$

42.

Use the distributive property to simplify the expressions: $6\left(11+6k\right)$

a)

$\frac{6}{11}+k$

b)

$66\ +36k$

c)

$17+12k$

d)

$5$

43.

(x - 6)4

a)

24 - 4x

b)

4x - 6

c)

x - 24

d)

4x - 24

44.

-5(-x + 3)

a)

5x + 15

b)

5x - 15

c)

5 - 3x

d)

3x + 5

45.

-9( -3h - 8)

a)

-27h + 72

b)

27h + 72

c)

9 + 11h

d)

-9 + 11h

46.

Are 5x and 5y like terms?

a)

Yes, they both have a 5

b)

Yes, they both have a variable

c)

No, they do not have the same variables

47.

Are 3x² and -5x² like terms?

a)

Yes, they both have letters

b)

Yes, they have the same variable and same exponent

c)

No, one is negative and one is positive

d)

No, the exponents are different.

48.

Combine like terms:

5x²- 2x + 4 + 3x + 2x² + 8

a)

7x²+ x + 12

b)

7x⁴+ 5x + 12

c)

3x²+ 7x + 10

d)

20x⁶

49.

Select all of the terms that are like terms with 4x³

a)

4x

b)

x³

c)

-2x³

d)

4x⁵

e)

-4

50.

Are 3x⁴ and 6x³like terms?

a)

Yes, they both have an x

b)

Yes, they are both positive

c)

No, they have different exponents

d)

No, the coefficients are different

51.

Simplify by combining like terms:

3y^2-5x+2y-6x+8y^2+9y

a)

$11y^2-11x+11y$

b)

$-2xy^2-4xy+17y^3$

c)

$11y^4-11x^2+11y^2$

d)

$22y^6-11x$

52.

Simplify: 8x² + 5x + 2y + x

a)

14x + 2y

b)

13x²+ 2y + x

c)

8x² + 6x + 2y

d)

8x² + 7xy + x

53.

Simplify: 5 + 11y + 2

a)

5 + 11y

b)

18y

c)

11y + 7

d)

11y + 3

54.

Simplify: 15x + 19 + 2x - 4

a)

17x + 15

b)

17x + 23

c)

30x + 15

d)

13x + 15

55.

5x² + 7x² - 4

a)

35x² - 4

b)

2x² -4

c)

12x² + 4

d)

12x² - 4

56.

- 6w² - 10w²

a)

-16w²

b)

-4w²

c)

60w⁴

d)

16w²

57.

Simplify:

-20x + 10x - 30x

a)

-40x³

b)

-50x

c)

-40x

d)

0

58.

$100x+100x^2$

a)

0

b)

you can't simplify this at all

c)

$200x^3$

d)

$100x^3$

59.

Simplify:

6x + 5x² + 7x

a)

5x² + 13x

b)

13x + 5x

c)

18x

d)

13x² + 5x²

60.

Simplify:

-66x⁷ + 33x⁷

a)

-99x⁷

b)

99x¹⁴

c)

-33x⁷

d)

-33x¹⁴

61.

-15x⁹⁹ - 5x⁹⁹

a)

20x⁹⁹

b)

-20x⁹⁹

c)

-10x⁹⁹

d)

10x⁹⁹

62.

-12g + 32g³ + 10g

a)

32g³ - 2g

b)

32g³ + 22g

c)

32g²

d)

30g³ - 2g²

63.

3x²+4x²+7 is

a)

7x⁴+7

b)

7x² + 7

c)

7x⁵

d)

7

64.

Which expression is equivalent to 3a² + 6a + 5a²?

a)

14a²

b)

14a

c)

8a² + 6a

d)

3a² + 11a

65.

Simplify by combining like terms:

4x² + 3x + 11 + 2x

a)

4x² + 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

66.

Rewrite the expression in correct form by combining like terms.

2x² + 10x + 5x² + 25x

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x² + 6xy + y

67.

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

68.

Identify the Property:

10+0 = 10

a)

Inverse Property

b)

Commutative Property

c)

Associative Property

d)

Identity Property

69.

Identify the Property:

6 + (21+3) = (6+21) +3

a)

Commutative Property

b)

Distributive Property

c)

Inverse Property

d)

Associative Property

70.

Identify the Property:

0 + 2 = 2

a)

Identity Property

b)

Commutative Property

c)

Associative Property

d)

Inverse Property

71.

1 + (7+2) = 2 + (7 +1)

a)

Identity Property

b)

Associative Property

c)

Commutative Property

d)

Distributive Property

72.

Identity Property

a)

12 + 6 = 6 + 12

b)

180 + 0 = 180

c)

(6+12) + 2 = (2+6) + 12

d)

12 + 3 + 0 = 0 + 12 +3

73.

Associative Property

a)

0 + 11 = 11

11 + 0 = 11

b)

5 + 6 + 3 = 3 + 5 + 6

c)

(5+3)+ 6= (6+3)+5

d)

11-2=7+2

74.

9 ^_x 2 = 2 ^_x 9

a)

Commutative Property

b)

Associative Property

c)

Inverse Property

d)

Distributive Property

75.

Using the commutative property, what would be the equivalent expression for
5 + 6 = ?

a)

6 + 5

b)

5 + 6

c)

11

76.

16 • 4 = 4 • 16

a)

Zero Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

77.

Which property is used in the following expression?
(4 x 2) x 5 = 2 x (5 x 4)

a)

Zero Property

b)

Commutative Property

c)

Associate Property

d)

Distributive Property

78.

Which equation shows the Commutative Property?

a)

7 x 3 = 7 + 7 + 7

b)

8 x 1 = 8

c)

3x6 - 4x6 = (3-4)x6

d)

5 x 2 = 2 x 5

79.

Which property is used in the following?
7 x (8 + 2)=7 x 8 + 7 x 2

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

None of the above

80.

What is the Symmetric property?

a)

If a=b, then a can be substituted for b in any equation or expression

b)

a(b+c)=ab+ac

c)

For any real number a, a=a .

d)

If a=b, then b=a

81.

What is the Reflexive property?

a)

If a=b, then a can be substituted for b in any equation or expression

b)

a(b+c)=ab+ac

c)

For any real number a, a=a .

d)

If a=b, then b=a

82.

What is the Transitive property?

a)

If a=b, then a can be substituted for b in any equation or expression

b)

a(b+c)=ab+ac

c)

If a=b, and b=c, then a=c

d)

If a=b, then b=a

83.

Identify the property used here:
39=39

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Substitution

84.

Identify the property used here:
If 31 = 2x - 5, then 2x - 5 = 31

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Substitution

85.

279 minus 125

a)

279-125

b)

125-279

c)

279/125

d)

125/279

86.

the product of 15 and x

a)

15x

b)

x/15

c)

15/x

d)

15-x

87.

17 plus 4

a)

4+17

b)

17-4

c)

17+4

d)

17-4

88.

p divided by 5

a)

5-p

b)

p-5

c)

5/p

d)

p/5

89.

the sum of 9 and q

a)

9q

b)

9-q

c)

9+q

d)

9/q

90.

149 times 2

a)

149/2

b)

(149)(2)

c)

1492

d)

149-2

91.

25 less than z

a)

z+25

b)

z/25

c)

25-z

d)

z-25

92.

675 added to 137

a)

137+675

b)

675/137

c)

675+137

d)

137/675

93.

take away 14 from j

a)

14-j

b)

j-14

c)

14+j

d)

j+14

94.

j divided by 5

a)

$j\ \times\ 5$

b)

$j\div5$

c)

$j\ >\ 5$

95.

g plus 1.75

a)

$1.75\ -\ g$

b)

$g\ +\ 1.75$

c)

$g\ +1.75g$

96.

j divided by 5

a)

$j\ \times\ 5$

b)

$j\div5$

c)

$j\ >\ 5$

97.

10 less than g

a)

$10g\ -\ 10$

b)

$10-g$

c)

$g-10$

98.

Which algebraic expression represents the verbal expression:

Eight more than a number

a)

n - 8

b)

$8\cdot n$

c)

$8\div n$

d)

n + 8

99.

The difference between a number and 5

a)

n + 5

b)

n - 5

c)

$5\cdot n$

100.

Fourteen increased by b

a)

14 - b

b)

$14\cdot b$

c)

14 + b

101.

Write an expression for the phrase: "nine less than t"

a)

9-t

b)

t ÷ 9

c)

t-9

d)

t + 9

102.

Write a phrase for 7t

a)

7 plus t

b)

7 times t

c)

7 more than t

d)

seventy

103.

Which is not a word phrase for m + 8

a)

m plus 8

b)

m more than 8

c)

8 more than m

d)

8 added to m

104.

Write an expression for 8 less than y

a)

8 - y

b)

y ÷ 8

c)

8 ÷ y

d)

y-8

105.

What is a word phrase for t - 8

a)

the difference of t and 8

b)

the product of t and 8

c)

the quotient of t and 8

d)

the difference of 8 and t

106.

Harris has r bottles. Donna has 60 more bottles than Harris. Choose the expression that shows how many bottles Donna has.

a)

r + 60

b)

r + 13

c)

2 + r

107.

There is t number of students in the class. 20 more students came out from the class. Choose the expression that shows how many students are left in the class.

a)

9 - t

b)

20t

c)

t - 20

108.

Strawberries are $1.95 a pound. Write an expression for p pounds of strawberries.

a)

$1.95+p

b)

$1.95-p

c)

$1.95/p

d)

$1.95p

109.

Ms. Hernandez gave these instructions to her math students.

Add 6 and 12.

Multiply the result by 10.

Which expression has the same final answer as in Ms. Hernandez's instructions?

a)

(6 x 12) + 10

b)

6 + (12 x 10)

c)

(6 + 12) x 10

d)

6 x (12 + 10)

110.

Which expression matches this problem?

2 more than the product of 6 and 3

a)

2 + (6 + 3)

b)

2 + (6 - 3)

c)

2 + (6 x 3)

d)

2 + (6 $\div$ 3)

111.

Which number expression is the same as the comparison below?

16 times as much as 4

a)

16 x 4

b)

16 $\div$ 4

c)

16 + 4

d)

16 - 4

112.

What word or words tell you to subtract?

Select ALL that apply.

a)

minus

b)

difference

c)

product

d)

less than

113.

What word or words tell you to add?

Select ALL that apply.

a)

sum

b)

plus

c)

product

d)

add

114.

What word or words tell you to multiply?

Select ALL that apply.

a)

times

b)

difference

c)

product

d)

double

115.

What word or words tell you to divide?

Select ALL that apply.

a)

half

b)

quotient

c)

product

d)

double

116.

Which words match the expressions (3+5) x 7

a)

three more than the product of five and 7

b)

7 times the product of 3 and 5

c)

The sum of three and five times 7

d)

the quotient of 5 and 7 plus 3

117.

Which words match the expressions (6 + 4) - 2

a)

the sum of six and four and then take away 2

b)

the difference of four and 2 then add 6

c)

the quotient of six and 4 the take away 2

d)

multiply 6 and 4 plus 2

118.

What operation is used when you see the word difference?

a)

+

b)

-

c)

x

d)

÷

119.

What operation is used when you see the word product?

a)

+

b)

-

c)

x

d)

÷

120.

What operation is used when you see the word quotient?

a)

+

b)

-

c)

x

d)

÷

121.

What operation is used when you see the word sum?

a)

+

b)

-

c)

x

d)

÷

122.

What operation is used when you see the word less than?

a)

+

b)

-

c)

x

d)

÷

123.

What word or words tell you to subtract?

Select ALL that apply.

a)

minus

b)

difference

c)

product

d)

less than

124.

What word or words tell you to add?

Select ALL that apply.

a)

sum

b)

plus

c)

product

d)

add

125.

What word or words tell you to multiply?

Select ALL that apply.

a)

times

b)

difference

c)

product

d)

double

126.

What word or words tell you to divide?

Select ALL that apply.

a)

half

b)

quotient

c)

product

d)

double

127.

Which words match the expressions (3+5) x 7

a)

three more than the product of five and 7

b)

7 times the product of 3 and 5

c)

The sum of three and five times 7

d)

the quotient of 5 and 7 plus 3

128.

Which words match the expressions (6 + 4) - 2

a)

the sum of six and four and then take away 2

b)

the difference of four and 2 then add 6

c)

the quotient of six and 4 the take away 2

d)

multiply 6 and 4 plus 2

129.

the quotient of 9 and 3 times 5

a)

(9 $\div$ 3) x 5

b)

5 x (9 $\div$ 3)

c)

9 $\div$ 3 x 5

d)

5 x 9 $\div$ 3

130.

the difference of twenty-five and ten

a)

10 + 25

b)

25 - 10

c)

10 - 25

131.

Six less than a number k

a)

k - 6

b)

6 + k

c)

6/k

d)

6 - k

132.

Half a number y

a)

2y

b)

y/2

c)

y + 1/2

d)

y - 1/2

133.

A number decreased by 9

a)

9 - x

b)

x + 9

c)

x/9

d)

x - 9

134.

Ten more than three times a number

a)

3 x 10 x m

b)

3m + 10

c)

10 + 3 + m

d)

10m + 3

135.

Nine less than the product of a number and 4

a)

9 - 4n

b)

9 - (n + 4)

c)

4n - 9

d)

9/4n

136.

One-third of the total number of boys and girls in the class

a)

1/3b + g

b)

3(b+g)

c)

1/3(b+g)

d)

b+g + 3

137.

4 less than 5 times a number (g)

a)

4g -5

b)

5g - 4

c)

5-4g

d)

4 - 5g

138.

Which expression represents the perimeter of the square?

a)

5x + 5x + 5x + 5x

b)

$5x\cdot5x\cdot5x\cdot5x$

c)

$5x\ \cdot2$

d)

5x

139.

Which expression represents the area of the square?

a)

$5x\cdot2$

b)

$5x\cdot5x$

c)

$5x\ +\ 5x\ +\ 5x\ +\ 5x$

d)

$5x\cdot5x\cdot5x\cdot5x$

140.

F fewer than 5

a)

5 + f

b)

5 - f

c)

5f

d)

5/f

141.

Four less than the sum of 7 and 3

a)

4 - (7+3)

b)

(7+3) - 4

c)

(7x3) x 4

142.

four less than the quotient of 7 and 3

a)

(7 $\div$ 3) - 4

b)

(7x3) +4

c)

(7+3) - 4

d)

4- (7 $\div$ 3)

143.

2 more than the product of 6 and 3

a)

2 + ( 6+3)

b)

2 + ( 6-3)

c)

2 + ( 6 x 3)

d)

2 + ( 6/ 3)

144.

Which numerical expression matching the following phrase:

Ninety divided by the difference of fourteen and five

a)

19 $\div$ 15 + 4

b)

90 $\div$ (14 - 5)

c)

(90 $\div$ 14) - 5

d)

90 $\div$ (14 - 5)

145.

Which numerical expression matches the phrase:

Ten times the sum of forty and fifty-three

a)

10 x 14 + 53

b)

10 x (40 + 53)

c)

10 - (40 x 53)

d)

10 + (53 - 40)

146.

Which numerical expression matches the phrase:

Four times the quotient of twenty and ten

a)

4 x 20 x 10

b)

(4 x 20) + 10

c)

4 x (20 $\div$ 10)

d)

4 + (20 - 10)

147.

Ms Richards is making envelopes of stickers. She has 92 stickers and splits them evenly into e envelopes. Which expression represents how many stickers are in each envelope?

a)

$e\div92$

b)

$92\ -\ e$

c)

$92e$

d)

$92\ \div e$

148.

There are r rows of chairs with 8 chairs in each row. Choose the expression that represents the total number of chairs.

a)

$8r$

b)

$8\ \div\ r\$

c)

$r\div8$

d)

$8\ +\ r$

149.

Shawn and his friends are going to the State Fair. It costs $12 to park their car. Tickets to get in are $10 per person. If p represents the number of people, which expression represents how much money Shawn and his friends will spend?

a)

12p + 10p

b)

12p - 10p

c)

12p + 10

d)

12 + 10p

150.

A plane traveling to New York has 100 seats on board. If there are p passengers on the plane, which expression represents the number of empty seats there are on the plane?

a)

p - 100

b)

100 - p

c)

100p

d)

100 + p

151.

Jordan makes 100 dollars each week. He worked for x weeks this summer. Write an expression to represent how much money Jordan made this summer.

a)

$100+x$

b)

$100-x$

c)

$100x$

d)

$100\div x$

152.

Ben has x dollars. Cam has 7 fewer dollars than Ben. Which expression shows how much money Cam has?

a)

$x+7$

b)

$x-7$

c)

$7x$

d)

$x\div7$

153.

Rebecca paid a total of $324 for concert tickets. Rebecca bought x amount of tickets. Choose the expression that represents how much each ticket cost.

a)

$324+x$

b)

$324-x$

c)

$324x$

d)

$x\div324$

154.

Strawberries are $1.95 a pound. Write an expression for p pounds of strawberries.

a)

$1.95+p

b)

$1.95-p

c)

$1.95/p

d)

$1.95p

155.

If p represents the points Kia scored in a game, which expression shows how she tripled her point total?

a)

$3p$

b)

$3\ -\ p$

c)

$3\ +\ p$

d)

$\frac{p}{3}$

156.

If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?

a)

3 + 2x

b)

3x + 2

c)

3x + 2x

d)

5x

157.

AT&T charges $30 per month for phone service and a one-time activation fee of $25. What expression describes the scenario, where m = months?

a)

30 - 25m

b)

30m - 25

c)

30 + 25m

d)

30m + 25

158.

A Lyft driver earns $10/hour and works "h" hours per day. She also spends $25 on gas each day. Which expression represents how much she will earn in a day?

a)

10h + 25

b)

10h - 25

c)

10h - 25h

d)

10h + 25h

7-CHAPTER 5 TEST

Total questions: 158

Worksheet time: 4hrs 54mins

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