Free Printable 7th Grade Practice questions for the Midterm

1.

Convert 4/5 to a decimal

a)

.45

b)

.80

c)

.40

d)

.54

2.

How would the fraction 2/10 be written as a decimal?

a)

2.10

b)

.2

c)

.02

d)

20

3.

12/12 =

a)

0

b)

1

c)

144

d)

.1

4.

1/5 =

a)

.11

b)

.15

c)

.25

d)

.20

5.

Find the area of this square

a)

12 feet²

b)

66 feet

c)

13 feet

d)

36 square feet

6.

What is 11 squared?

11²

a)

132

b)

144

c)

121

d)

22

7.

What is the square root of 100?

√100

a)

10

b)

200

c)

50

d)

1000

8.

What number squared is 9?

a)

9

b)

18

c)

3

d)

81

9.

The √21 is between which two integers?

a)

5 and 6

b)

20 and 22

c)

4 and 5

d)

10 and 11

10.

The √40 is between which two integers?

a)

39 and 41

b)

6 and 7

c)

5 and 6

d)

19 and 21

11.

Which is the best estimate of the square root of 26?

a)

5.09

b)

5.89

c)

5.75

d)

5.58

12.

Which is the best estimate of the square root of 63?

a)

7.1

b)

7.3

c)

7.5

d)

7.9

13.

Which two consecutive numbers is ∛192 in between

a)

9 and 10

b)

5 and 6

c)

7 and 8

d)

11 and 12

14.

Which number is an estimate to ∛186

a)

5.8

b)

5.5

c)

5.7

d)

5.1

15.

Which number is an estimate to ∛799

a)

9.2

b)

9.3

c)

8.9

d)

9.5

16.

-5 + -3 + -3 =

a)

-8

b)

-6

c)

-11

d)

-12

17.

-10 + -10 + -4

a)

-20

b)

-14

c)

-56

d)

-24

18.

-10 - (-10)=

a)

-20

b)

20

c)

5

d)

0

19.

-1 - (-5)=

a)

4

b)

-6

c)

6

d)

-4

20.

7 - -3

a)

4

b)

10

c)

-4

d)

-10

21.

What is the multiplicative inverse of -2?

a)

2

b)

1/2

c)

-2

d)

-1/2

22.

What is the multiplicative inverse of 5?

a)

5/1

b)

1/25

c)

10

d)

1/5

23.

What is the additive inverse of -5?

a)

-5

b)

0

c)

5

d)

-0

24.

What is the additive inverse of 8?

a)

8

b)

0

c)

-0

d)

-8

25.

Zero or undefined?

$\frac{0}{1}$

a)

0

b)

Undefined

26.

Zero or undefined?

$\frac{1}{0}$

a)

0

b)

Undefined

27.

Zero or undefined?

$\frac{5}{0}$

a)

0

b)

Undefined

28.

Zero or undefined?

$\frac{0}{14}$

a)

0

b)

Undefined

29.

$-1\times-4$

a)

-5

b)

5

c)

4

d)

-4

30.

$-11\times-12$

a)

132

b)

-132

c)

-23

d)

23

31.

$-6\times6$

a)

-12

b)

12

c)

36

d)

-36

32.

$5\times-12$

a)

-60

b)

60

c)

17

d)

-17

33.

a)

2 23/100

b)

2 23/10

c)

2 23/9

d)

2 23/99

34.

Convert 4.363636... to a fraction.

a)

48/11

b)

4/11

c)

4.36/99

d)

34/25

35.

a)

7/50

b)

14/9

c)

7/45

d)

14/99

36.

a)

3/10

b)

1/3

c)

1/9

d)

30/99

37.

Convert the following decimal into a fraction.

0.1\overline{6}

a)

1/7

b)

2/11

c)

2/13

d)

1/6

38.

Convert the following decimal into a fraction.

0.8\overline{3}

a)

5/6

b)

7/8

c)

9/11

d)

12/14

39.

Convert the following decimal into a fraction.

0.1\overline{6}

a)

1/7

b)

2/11

c)

2/13

d)

1/6

40.

Convert the following decimal into a fraction.

0.8\overline{3}

a)

5/6

b)

7/8

c)

9/11

d)

12/14

41.

Which of the following shows the POWER rule of Exponents?

a)

$x^0=1$

b)

$\frac{x^a}{x^b}=x^{a-b}$

c)

$\left(x^a\right)^b=x^{a\cdot b}$

d)

$x^a\cdot x^b=x^{a+b}$

e)

$x^{-a}=\frac{1}{x^a}$

42.

Which of the following shows the PRODUCT rule of Exponents?

a)

$x^0=1$

b)

$\frac{x^a}{x^b}=x^{a-b}$

c)

$\left(x^a\right)^b=x^{a\cdot b}$

d)

$x^a\cdot x^b=x^{a+b}$

e)

$x^{-a}=\frac{1}{x^a}$

43.

Which of the following shows the QUOTIENT rule of Exponents?

a)

$x^0=1$

b)

$\frac{x^a}{x^b}=x^{a-b}$

c)

$\left(x^a\right)^b=x^{a\cdot b}$

d)

$x^a\cdot x^b=x^{a+b}$

e)

$x^{-a}=\frac{1}{x^a}$

44.

Which of the following shows the ZERO EXPONENT rule of Exponents?

a)

$x^0=1$

b)

$\frac{x^a}{x^b}=x^{a-b}$

c)

$\left(x^a\right)^b=x^{a\cdot b}$

d)

$x^a\cdot x^b=x^{a+b}$

e)

$x^{-a}=\frac{1}{x^a}$

45.

Which of the following shows the NEGATIVE EXPONENT rule of Exponents?

a)

$x^0=1$

b)

$\frac{x^a}{x^b}=x^{a-b}$

c)

$\left(x^a\right)^b=x^{a\cdot b}$

d)

$x^a\cdot x^b=x^{a+b}$

e)

$x^{-a}=\frac{1}{x^a}$

46.

Simplify: $\left(3^2\right)^6$

a)

$3^8$

b)

$3^{12}$

c)

$3^4$

d)

531441

47.

Simplify: $2^5\cdot2^6$

a)

$2^{11}$

b)

$2^{30}$

c)

$2^1$

d)

2048

48.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

49.

7⁰

a)

1

b)

7

c)

0

d)

-7

50.

(3³)²

a)

81

b)

3⁶

c)

3⁵

d)

9²

51.

Rewrite using positive exponents

a)

2⁴

b)

1/2⁴

c)

4²

d)

1/4²

52.

Simplify: 7p⁰

a)

7

b)

1

c)

simplified

d)

7p

53.

$\frac{x^9}{x^4}$ =

a)

$x^{13}$

b)

$x^{36}$

c)

$x^5$

d)

$x^{-5}$

54.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

55.

How would you write 0.0005 in scientific notation?

a)

50 x 10⁵

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

56.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

57.

Which of the following numbers is the SMALLEST?

a)

8.7 x 10³

b)

3 x 10⁴

c)

1.3 x 10⁸

d)

9 x 10²

58.

Write 6,700 in scientific notation.

a)

6.7 x 10³

b)

6.7 x10^-3

c)

67 x 10²

d)

67 x 10^-2

59.

Which of the following expressions is written in scientific notation?

a)

62.5 x 10⁵

b)

0.2035 x 10^-⁵

c)

247 x 1¹⁰

d)

5.093 x10^-4

60.

Give the sum of (2.6 x 10⁶) + (4.2 x 10⁶)

a)

6.8 x 10⁶

b)

6.8 x 10¹²

c)

8.4 x 10⁶

d)

3.2 x 10¹²

61.

Solve:
(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

62.

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

a)

$2.50 per pound

b)

$1.25 per pound

c)

$3 per pound

63.

A unit rate is a rate in which the unit in the denominator is:

a)

1

b)

3

c)

2

64.

A proportional relationship can be written as an equation in the form ____ = _____ _____

a)

y = k+x

b)

y = k-x

c)

y = kx

d)

y = k/x

65.

What makes a graph proportional?

a)

Straight line

b)

The line goes through the origin

c)

Curvy line

d)

Straight line and the line goes through the origin

66.

What is the constant of proportionality for the following graph?

a)

80

b)

20

c)

40

d)

160

67.

Identify the constant of proportionality.

a)

k = 2x

b)

k = 2

c)

k = 4

d)

none (not proportional)

68.

What is the constant of proportionality of the relationship represented by the table above?

a)

75

b)

0.013

c)

1/75

d)

None of the above

69.

Is the given table a proportional relationship? If so, what is the constant?

a)

Yes; 1/3

b)

Yes; 3

c)

Yes; 5

d)

No

70.

Is this table proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

71.

When we compare quantities, we compare them as _____ over ______.

a)

x over y

b)

y over x

c)

rate over one

d)

peanut butter over jelly

72.

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

73.

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

74.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

a)

add

b)

subtract

c)

multiply

d)

divide

75.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

76.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

77.

3³ ⋅ 3

a)

3⁴

b)

3³

c)

3⁰

d)

1 ⁄ 3⁴

78.

Simplify
x⁰

a)

x

b)

⁰

c)

1

d)

Undefined

79.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

80.

Simplify the expression.

a)

1

b)

g¹⁰

c)

g²⁵

d)

g

81.

Simplify the expression.

a)

1²²

b)

1³⁰

c)

6²²

d)

6³⁰

82.

6k²⋅ k

a)

6

b)

6k

c)

6k²

d)

6k³

83.

(g⁵)⁸

a)

g¹³

b)

5g⁸

c)

g⁴⁰

d)

8g⁵

84.

4²* 4²

a)

16⁴

b)

4²

c)

4⁴

d)

8²

85.

2 * 2² *2²

a)

2⁴

b)

8⁴

c)

36

d)

2⁵

86.

3²*3²

a)

3⁴

b)

9⁴

c)

9²

d)

3²

87.

a)

1¹⁰

b)

1²⁶

c)

z¹⁰

d)

z²⁶

88.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

89.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

This cannot be determined.

90.

Simplify (-4x)⁰

a)

-4

b)

-4x

c)

-1

d)

1

e)

0

91.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

92.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

93.

z⁰

a)

z

b)

0

c)

1

94.

Simplify

w⁵(w^x)w⁷

a)

w^35x

b)

w¹³

c)

w^12x

d)

w^{12 + x}

95.

2⁰x⁰y⁰ = ?

a)

2⁰x⁰y⁰ = 0

b)

2⁰x⁰y⁰ = 1

c)

2⁰x⁰y⁰ = 2xy

d)

2⁰x⁰y⁰ = 2

96.

7x⁰

a)

7x

b)

7

c)

1

d)

0

97.

Simplify (-9)⁰

a)

-9

b)

-1

c)

1

d)

9

98.

$m^3n^0=$

a)

1

b)

$n^{30}$

c)

$m^3$

d)

0

99.

$x^2y^0=$ Hint: the zero exponent is only applied to the letter y.

a)

1

b)

$x^2$

c)

0

d)

z

100.

$5^0\ =\$

a)

1

b)

5

c)

50

d)

0

101.

$7^0\ =\$

a)

7

b)

0

c)

70

d)

1

102.

$x^0\ =\$

a)

1

b)

y

c)

x

d)

0

103.

$m^0\ =\$

a)

10

b)

m

c)

1

d)

0

104.

Any expression raised to the zero power is...?

a)

0

b)

1

c)

2

d)

negative

105.

Simplify (2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

106.

Simplify the following expression:

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

107.

Simplify the following expression:

2x³y⁵ ⋅ 5xy²

a)

10x⁴y⁷

b)

7x⁴y⁷

c)

10x³y¹⁰

d)

7x³y¹⁰

108.

Simplify the following expression:

r⁶⋅ r²⋅ r³

a)

r⁶²³

b)

r¹¹

c)

11r

d)

r³⁶

109.

If the bases are the same, then you....

a)

Multiply the exponents

b)

Subtract the exponents

c)

Add the exponents

d)

Divide the exponents

110.

x^{20 .} x¹⁰

a)

x³⁰

b)

x²⁰⁰

c)

2x³⁰

d)

x¹⁰

111.

5², in this example, 5 is the ______ and 2 is the _______

a)

base, product

b)

exponent, base

c)

base, exponent

d)

product, base

112.

Which number is the EXPONENT?

4^{2 =}16

a)

4

b)

16

c)

2

d)

162

113.

Which number is the BASE?

2³= 8

a)

2

b)

8

c)

3

d)

238

114.

Simplify (2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

115.

Simplify the expression.
(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

116.

Simplify the expression.
x⁴ (x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

117.

Simplify

-10k² ∗ k

a)

-10k³

b)

-10k²

c)

-9k³

d)

-9k²

118.

Simplify

4 ∗ x

a)

4x

b)

4x²

c)

x²

d)

4

119.

Simplify

(9h)(-4h)

a)

-36h²

b)

-36h

c)

5h

d)

5h²

120.

Simplify

-4m² ∗ m²

a)

-4m⁴

b)

-3m⁴

c)

-3m²

121.

Simplify

x ∗ x

a)

x²

b)

2x

c)

2x²

d)

x

122.

Simplify

2x³ ∗ 4x⁵

a)

8x⁸

b)

6x⁸

c)

6x¹⁵

d)

8x¹⁵

123.

Simplify

(v⁵)(v⁵)

a)

v¹⁰

b)

v²⁵

c)

2v¹⁰

d)

2v²⁵

124.

Simplify

c¹² ∗ c¹³

a)

c²⁵

b)

c¹⁵⁶

c)

c¹²³

d)

2c²⁵

125.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

126.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

127.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

128.

6⋅6⁷

a)

6⁸

b)

6⁶

c)

6⁷

d)

6

129.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

130.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

131.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

132.

3⁻⁴

a)

1 ⁄ 3⁴

b)

-3⁴

c)

3⁴

d)

1 ⁄ 12

133.

(34x⁵y⁶z^-7)⁰

a)

34x⁵y⁶ / z⁷

b)

34x⁵y⁶ / x^-7

c)

0

d)

1

134.

(3y⁴)²

a)

9y⁸

b)

9y⁶

c)

6y⁸

d)

6y⁶

135.

Fill in the blank with the correct exponent to make the statement true.
3^{16 =}(3⁸)(3^_)

a)

2

b)

8

c)

4

d)

1

136.

Evaluate the expression using the quotient rule.

a)

3⁴

b)

1/3⁴

c)

3^-12

d)

3³²

137.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

138.

(7uv²)^-5

a)

-35uv^-10

b)

-5/7uv²

c)

1/7⁵u⁵v¹⁰

d)

1/7uv¹⁰

139.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

140.

(ab⁸c)(a^-17c¹⁰)

a)

a¹⁷b⁸c¹¹

b)

a¹⁶b⁸c¹¹

c)

(b⁸c¹¹)/(a¹⁶)

d)

a^-17b⁸c¹⁰

141.

Simplify (7a²)(5a⁶b)²

a)

35a¹⁴b²

b)

175a¹²b²

c)

175a¹⁴b²

d)

35a¹⁴b

142.

Simplify (7a²)(5a⁶b)²

a)

35a¹⁴b²

b)

175a¹²b²

c)

175a¹⁴b²

d)

35a¹⁴b

143.

(x⁸)(x^-5)

a)

x^-40

b)

x^-13

c)

x¹³

d)

x³

144.

(t^-6)^-5

a)

t^-11

b)

t^-30

c)

t³⁰

d)

t¹¹

145.

According to exponent rules, when we raise the coefficients to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

146.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

147.

Simplify
(-7y²)(5y⁴)

a)

-35y⁶

b)

-2y⁶

c)

-35y⁸

d)

-2y⁸

148.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

149.

a)

9^-4

b)

9^-45

c)

3^-4

d)

3^-45

150.

a)

6^-2

b)

1/6²

c)

1/36

d)

All of the above

151.

a)

4⁹

b)

4⁴⁴

c)

4²¹

d)

4¹⁵

152.

a)

0

b)

3

c)

1

d)

-1

153.

Simplify the surds then complete the subtration: 8√84 - 5√84

a)

3√84

b)

2√21

c)

6√21

d)

5√10

154.

Simplify

a)

13√3

b)

10√30

c)

13√6

d)

11√3

155.

Simplify 3√48 - √75

a)

17√3

b)

48

c)

7√3

d)

48√3

156.

Simplify the expression $5^{-8}$

a)

$5^8$

b)

$\frac{1}{5^8}$

c)

$\frac{1}{-5^{-8}}$

d)

$\frac{1}{5^{-8}}$

157.

Rewrite using a positive exponent.

$2w^{-13}$

a)

$-w^{13}$

b)

$\frac{2}{w^{13}}$

c)

$\frac{2}{w^{-13}}$

d)

$2w^{13}$

158.

Select ALL that are correct.

Simplify the following: $\left(2x^4y^{-3}\right)^{-1}$

a)

$2^{-1}x^{-4}y^3$

b)

$-\frac{2}{x^4y^3}$

c)

$\frac{1}{2x^4y^3}$

d)

$\frac{y^3}{2x^4}$

159.

a)

b)

c)

d)

160.

Simplify the expression: $\frac{5^8}{5^{-4}}$

a)

5^-32

b)

5^-4

c)

5⁴

d)

5¹²

161.

a)

b)

c)

d)

162.

a)

b)

c)

d)

163.

Which of the following show what should be done with the exponents to simplify: $\frac{5^{-4}}{5^3}$

a)

$-4+3$

b)

$-4\left(3\right)$

c)

$4+3$

d)

$-4-3$

164.

Simplify: $\frac{8^{-9}}{8^2}$

a)

$8^{-7}$

b)

$8^{18}$

c)

$8^{-11}$

d)

$8^{-9}$

165.

Simplify: $\frac{3^{-7}}{3^{-2}}$

a)

$3^5\$

b)

$3^{-9\ }=\frac{1}{3^9}$

c)

$3^{-5}\ =\frac{1}{3^5}$

d)

$3^9$

166.

Simplify: $\frac{3^0}{3^{-6}}$

a)

$3^{-6}$

b)

$3^6$

c)

$18$

d)

$9$

167.

Evaluate the expression using the quotient of powers rule.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

d)

a⁸b⁷

168.

$\frac{18x^{10}}{2x^3}$

a)

$9x^7$

b)

$9x^{13}$

c)

$18x^7$

d)

$2x^{13}$

169.

Simplify $\frac{a^3b}{a^6b^2}$ .

a)

$\frac{1}{a^3b}$

b)

$a^3b$

c)

$a^9b^3$

d)

$\frac{1}{a^9b^3}$

170.

Can $\frac{b^5}{b^2}$ be simplified?

a)

Yes.

b)

No.

c)

I don't know, ask my teacher.

171.

Simplify $\frac{x^3}{x^5}$ .

a)

$\frac{1}{x^8}$

b)

$x^2$

c)

$\frac{1}{x^2}$

d)

$x^8$

7th Grade Practice questions for the Midterm

Total questions: 171

Worksheet time: 5hrs 29mins

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