Free Printable Term1 Final Review

1.

In the expression 2⁵, what is the BASE?

a)

2

b)

5

2.

Write in exponential form: 3 x 3 x 3 x 3

a)

3 x 4

b)

3⁴

c)

81

d)

3²

3.

Which is equivalent to 3⁴

a)

27

b)

9

c)

81

d)

12

4.

Write the product as a power: 9 x 9 x 9

a)

729

b)

27

c)

9³

d)

3⁹

5.

What is equivalent to 6⁴?

a)

6×6×6

b)

4×6

c)

6×6×6×6

d)

4⁶

6.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

7.

What is the exponent form for
6?

a)

6⁰

b)

6¹

8.

$y^4$ is the same as...

a)

$y\times4$

b)

$4y$

c)

$y\cdot y\cdot y\cdot y$

9.

$Simplify\ \left(3x^4\right)\left(2x^3\right).\ \ \$

*Reminder:There are no exponents outside the parentheses.

a)

$5x^7$

b)

$6x^7$

c)

$6x^{12}$

10.

$\left(4x^2\right)^3$ is the same as...
*Reminder: There are exponents inside AND outside the parentheses. You are raising a power to another power.

a)

$\left(4\cdot3\cdot x\cdot x\right)\left(4\cdot3\cdot x\cdot x\right)$

b)

$\left(4\cdot x\cdot x\cdot3\right)$

c)

$\left(4\cdot x\cdot x\right)\left(4\cdot x\cdot x\right)\left(4\cdot x\cdot x\right)$

11.

$\frac{x^8}{x^4}$ Simplify

a)

$x^4$

b)

$x^2$

c)

$1^4$

12.

Simplify $\left(5y^2\right)\left(-7xy^3\right)$

a)

$35xy^5$

b)

$-35xy^5$

c)

$-35xy^6$

13.

$\frac{12x^4}{3x}$

a)

$4x^3$

b)

$9x^4$

c)

$4x^4$

d)

$9x^3$

14.

$\frac{20x^3}{4x^3}$

a)

$16x$

b)

$5x$

c)

$5$

15.

Anything to the power of zero is equal to...

Example: $x^0\ \ \ \ or\ \ \ \ 4^0$

a)

0

b)

1

c)

x

16.

Simplify $\frac{27x^3y^6}{9xy^2}$

a)

$3x^3y^4$

b)

$18x^2y^4$

c)

$3x^2y^4$

17.

Simplify $\left(x^2y^3\right)^4$
*Reminder: there are exponents inside AND outside the parentheses. You are raising a power to another power.

a)

$x^8y^{12}$

b)

$x^6y^7$

c)

$x^6y^{12}$

18.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

19.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

20.

3⁻⁴

a)

1 ⁄ 3⁴

b)

-3⁴

c)

3⁴

d)

1 ⁄ 12

21.

Simplify.
2^-3⋅ 2^-4

a)

¹/₁₂₈

b)

2^-7

c)

2¹²

d)

2⁷

22.

$g^{5\ }-\ h^3$

Evaluate the expression if g = 2 and if h = 7.

a)

311

b)

-311

c)

-2162

d)

2162

23.

$c^{2\ }+\ d^3$

Evaluate the expression if c = 8 and d = -3.

a)

-25

b)

25

c)

37

d)

-37

24.

Simplify:
(x³)²

a)

x⁵

b)

x

c)

x⁶

d)

3x²

25.

Simplify: (r⁴)⁶

a)

10r

b)

r¹⁰

c)

24r

d)

r²⁴

26.

Simplify

a)

-1/16

b)

1/16

c)

-16

d)

16

27.

Simplify

a)

-1/27

b)

1/27

c)

1/9

d)

-1/9

28.

a)

27

b)

-27

c)

1/-27

d)

1/27

29.

Rewrite using a positive exponent.
7^-10

a)

¹/_7¹⁰

b)

7¹⁰

c)

¹/_7^-10

d)

-70

30.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

31.

How would you write 0.0005 in scientific notation?

a)

50 x 10⁵

b)

5 x 10⁴

c)

5 x 10³

d)

.5 x 10³

32.

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

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

33.

How do you write
8.317 x 10⁶in standard form?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

34.

Express the following in scientific notation:
.000457

a)

457 x 10⁶

b)

457 x 10^-6

c)

4.57 x10⁴

d)

4.57 x 10^-4

35.

Express the following in standard notation:
8.025 x 10^-⁸

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

36.

Express the following in scientific notation:
0.0000002203

a)

.02203 x 10⁷

b)

22.03 x 10^-6

c)

2.203 x 10^-7

d)

22.03 x 106

37.

Convert to standard notation:
2.4 x 10^-3

a)

2400

b)

0.24

c)

0.024

d)

0.0024

38.

Convert to standard notation:
3.05 x 10⁵

a)

305,000

b)

305

c)

3,050,000

d)

30,500

39.

How would you write 564,000,000 in scientific notation?

a)

5.64 x 10^-7

b)

5.64 x 10⁶

c)

5.64 x 10⁸

d)

56.4 x 10⁷

40.

Multiply:

(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10^-8

b)

4.6 x 10²

c)

4.08 x 10²

d)

4.08 x 10^-15

41.

Multiply:

(9.4 x 10⁶)(3.2 x 10⁵)

a)

30.08 x 10¹¹

b)

3.008 x 10¹⁰

c)

3.008 x 10¹²

d)

2.9375 x 10¹

42.

Divide.

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

43.

DIVIDE:

(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

44.

$\frac{1.4\ \times\ 10^9}{7\ \times\ 10^2}$

a)

$7\times\ 10^7$

b)

$0.2\ \times\ 10^7$

c)

$2\times10^8$

d)

$2\times10^6$

45.

$\frac{1.05\times10^{12}}{5\times10^4}$

a)

$0.21\times10^3$

b)

$2.1\times10^7$

c)

$0.21\times10^8$

d)

$2.1\times10^9$

46.

Solve:

(6 x 10⁶) x (2 x 10³)

a)

1.2 x 10¹⁰

b)

8 x 10⁹

c)

1.2 x 10⁸

d)

8 x 10¹⁰

47.

Write the answer in scientific notation.
5 x 10⁸ - 3.4 x 10⁸ =

a)

2.4 x 10⁸

b)

2.4 x 10⁰

c)

1.6 x 10⁰

d)

1.6 x 10⁸

48.

Write the answer in scientific notation.
4.1 x 10⁵ + 5.5 x 10⁶ =

a)

5.91 x 10⁶

b)

9.6 x 10⁵

c)

9.6 x 10¹¹

d)

4.65 x 10⁵

49.

Write the answer in scientific notation.

5 x 10⁸ + 3.4 x 10⁸ =

a)

8.4 x 10⁸

b)

3.9 x 10⁸

c)

8.4 x 10⁷

d)

3.9 x 10⁷

50.

Write the answer in scientific notation.
7.3 x 10⁵ + 3.7 x 10⁵ =

a)

11.0 x 10⁵

b)

1.1 x 10¹⁰

c)

1.10 x 10¹¹

d)

1.1 x 10 ⁶

51.

Write the answer in scientific notation.

4.1 x 10⁶- 5.5 x 10⁵ =

a)

3.55 x 10⁶

b)

3.55 x 10⁵

c)

1.4 x 10⁶

d)

1.4 x 10⁵

52.

Write the answer in scientific notation.
5 x 10⁸ - 3.4 x 10⁸ =

a)

8.4 x 10⁸

b)

8.4 x 10⁰

c)

1.6 x 10⁰

d)

1.6 x 10⁸

53.

Subtract using scientific notation.
(8.0 x 10¹³) - (7.5 x 10¹²)

a)

7.25 x 10¹³

b)

7.25 x 10¹²

c)

5.0 x 10¹²

d)

5.0 x 10¹³

54.

(5.9 x 10⁷⁷) + (6 x 10⁷⁶)

a)

6.5 x 10⁷⁷

b)

6.5 x 10⁷⁶

c)

5.3 x 10⁷⁷

d)

5.3 X 10⁷⁶

55.

(9.8 x 10^-467) + (2.3 x 10^-467)

a)

7.5 x 10^-467

b)

7.5 x 10^-466

c)

1.21 x 10^-467

d)

1.21 X 10^-466

56.

Convert 2/25 from a fraction to a decimal

a)

2.25

b)

.25

c)

.8

d)

.08

57.

Convert 2/5 from a fraction to a decimal

a)

.02

b)

.04

c)

.2

d)

.4

58.

Which fraction can be expressed as a repeating decimal?

a)

1/10

b)

1/4

c)

3/5

d)

7/9

59.

Convert the fraction¹⁴/₂₅ to a decimal.

a)

0.14

b)

0.28

c)

0.56

d)

0.7

60.

Convert fraction to a decimal

¹/₂

(a)

61.

Convert fraction to a decimal

³/₅

(a)

62.

Convert fraction to a decimal

⁹/₁₀

(a)

63.

Write each decimal as a fraction in simplest form.

0.625

a)

625/100

b)

25/4

c)

5/8

d)

625/1000

64.

0.065

a)

13/200

b)

65/100

c)

65/1000

d)

13/20

65.

Write each decimal as a fraction in simplest form.

3.6

a)

3 6/10

b)

3 3/5

c)

3 6/100

d)

3 3/50

66.

Write each decimal as a fraction in simplest form.

2.11

a)

2 11/1000

b)

2 11/100

c)

2 1/2

d)

11/100

67.

Write each decimal as a fraction in simplest form.

0.002

a)

1/500

b)

1/50

c)

2/1000

d)

2/100

68.

Write each decimal as a fraction in simplest form.

0.8

a)

8/10

b)

8/100

c)

4/5

d)

2/25

69.

Write each decimal as a fraction in simplest form.

10.4

a)

10 4/10

b)

2/5

c)

10 2/5

d)

10 1/25

70.

Write each decimal as a fraction in simplest form.

0.48

a)

48/100

b)

48/1000

c)

6/125

d)

12/25

71.

Write each decimal as a fraction in simplest form.

0.5

a)

1/2

b)

5/10

c)

10/5

d)

2/1

72.

Write each decimal as a fraction in simplest form.

7.202

a)

7 202/1000

b)

7 101/500

c)

101/500

d)

7 1/2

73.

Write each decimal as a fraction in simplest form.

0.72

a)

18/25

b)

72/100

c)

9/125

d)

72/1000

74.

Write each decimal as a fraction in simplest form.

29.15

a)

15/100

b)

3/20

c)

29 15/1000

d)

29 3/20

75.

a)

1/2

b)

1/10

c)

1/100

d)

1/9

76.

a)

3/10

b)

1/3

c)

1/9

d)

30/99

77.

a)

24/99

b)

2 4/9

c)

2 2/5

d)

6/25

78.

a)

7/50

b)

14/9

c)

7/45

d)

14/99

79.

a)

2 23/100

b)

2 23/10

c)

2 23/9

d)

2 23/99

80.

Convert 0.252525... to a fraction.

a)

25/9

b)

25/99

c)

25/100

d)

1/4

81.

Convert 0.444... to a fraction.

a)

4/10

b)

4.4/99

c)

4/9

d)

2/5

82.

Find the square root.
√36

a)

6

b)

-6

c)

18

d)

-18

83.

Find the square root.
√100

a)

50

b)

25

c)

10

d)

5

84.

Find the square root.
±√144

a)

11, -11

b)

16, -16

c)

13, -13

d)

12, -12

85.

What is the cube root of 216?

a)

6

b)

8

c)

21

d)

7

86.

Find the cube root:

³√-1000

a)

Not a real number

b)

10

c)

-10

d)

-100

87.

2² = _____

a)

2

b)

6

c)

4

d)

16

88.

√64=___

a)

+ 6 only

b)

± 6

c)

± 8

d)

+ 8 only

89.

√-9

a)

3

b)

-3

c)

81

d)

Not possible

90.

What does x equal?

a)

$\sqrt{6}$

b)

$\pm\sqrt{6}$

c)

$-\sqrt{6}$

91.

What does x equal?

a)

$-\sqrt{17}$

b)

$\sqrt{17}$

c)

$\pm\sqrt{17}$

92.

$\sqrt{25}$

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

93.

$\sqrt{20}$

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

94.

$\pi$

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

95.

$\frac{15}{3}$

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

96.

$0$

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

97.

$\frac{1}{3}$

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

98.

6.313131313

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

99.

Square roots of non - perfect squares are always _____ numbers.

a)

irrational

b)

rational

100.

Rational and irrational numbers are both part of the set of _____ numbers.

a)

real

b)

natural

101.

Rational numbers include any number that can be written as a ratio (or _______).

a)

fraction

b)

square root

c)

real number

102.

Repeating decimals are _____ numbers.

a)

irrational

b)

rational

103.

$\sqrt{16}$ is included in the set of _______ because it simplifies to 4.

a)

irrational numbers

b)

whole number

104.

-1.4 is not included in the set of ______ because it has a decimal (or fractional) part.

a)

rational numbers

b)

integers

c)

real numbers

105.

Square roots of perfect squares are always _____ numbers.

a)

irrational

b)

rational

106.

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

107.

Estimate the square root.

a)

4

b)

5

c)

6

d)

7

108.

Find the best estimate for √18 .

Look at the number line.

a)

4.2

b)

4.4

c)

5.1

d)

4

109.

Identify the letter that best estimates the following square root on the following number line.

√156

a)

d

b)

b

c)

c

d)

e

110.

a)

1 AND 2

b)

2 AND 3

c)

3 AND 4

d)

4 AND 5

111.

Estimate the square root.

a)

9

b)

10

c)

11

d)

12

112.

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

a)

7.1

b)

7.3

c)

7.5

d)

7.9

113.

$^3\sqrt{64}=$

a)

-8

b)

8

c)

16

d)

4

114.

$^3\sqrt{-64}=$

a)

-8

b)

8

c)

-4

d)

4

115.

Which number is an estimate to ∛186

a)

5.8

b)

5.5

c)

5.7

d)

5.1

116.

Which number is an estimate to ∛58

a)

4.2

b)

4.1

c)

3.8

d)

3.9

117.

Which number is an estimate to ∛10

a)

2.3

b)

2.0

c)

2.1

d)

2.2

118.

Which number is an estimate to ∛163

a)

5.7

b)

5.9

c)

5.6

d)

5.5

119.

6x + 28 = 12 + 2x

a)

-10

b)

-4

c)

-2

d)

6

120.

Solve the Equation:
-2h - 16 = 3h - 6

a)

h = 10

b)

h = 2

c)

h = -2

d)

h = -10

121.

28 = 8x + 12 - 7x

a)

16

b)

1

c)

27

122.

4x + 3 = 5x - 4

a)

7/9

b)

7

c)

1

123.

4b + 2 = 3b

a)

7/2 (or 3.5)

b)

-2

c)

2

124.

14p - 8 = 22 + 20p

a)

-5

b)

5

c)

30

d)

-30

125.

2x - 3 + 4x = 27

a)

x= 12

b)

x = 4

c)

x = 5

d)

x = 15

126.

-5-r = 1+2r

a)

21

b)

- 2

c)

- 4

d)

4

127.

-8n-4 = -2+n-6-8n

a)

- 4.5

b)

13

c)

4

d)

7

128.

10-10x = 1-9x

a)

99

b)

- 3

c)

9

d)

1

129.

15+6b-6b = 4b-1-6b

a)

- 8

b)

- 16

c)

- .5

d)

16

130.

3y+4y+6=20

a)

y=2

b)

y=-2

c)

y=4

d)

y=3

131.

What is the inverse operation of multiplication?

a)

multiplication

b)

addition

c)

subtraction

d)

division

132.

Solve for x.
10-5x+3x= 5 - x

a)

5

b)

-2.5

c)

-5

d)

10

133.

Solve the following equation:
4x + 3 = 2x - 3

a)

3

b)

-3

c)

0

d)

2

134.

$8-v=7v$
v =

(a)

135.

$\frac{1}{8}m\ +\ 6\ =\ \frac{3}{8}m\ +4$
m =

(a)

136.

$7y\ =\ 9y\ -\ 20$
y =

(a)

137.

$7\ -\ 3c\ =\ 2c\ -\ 3$

c =

(a)

138.

$2x\ +\ 3\ =\ x$

x =

(a)

139.

$-\frac{1}{4}x\ +\ 6\ =\ \frac{2}{3}x\ +\ 28$

x =

(a)

140.

12x\ +\ 10=\ 4x\ -14

x =

(a)

141.

To move a positive term to the other side of the equation, we use the ________________ property of equality.

a)

addition

b)

subtraction

c)

multiplication

d)

division

142.

To move a negative term to the other side of the equation, we use the ________________ property of equality.

a)

addition

b)

subtraction

c)

multiplication

d)

division

143.

$9x\ =\ 4x\ +\ 25$
x =

(a)

144.

$-12x\ =\ -3x\ +\ 18$
x =

(a)

145.

$17+10.3x=17.3x\ +\ 3$
x =

(a)

146.

Simplify and solve for x.

5x+8x-3x+4=54

x=

(a)

147.

A group of 5 people go to a movie. They each buy a ticket and popcorn. The ticket is $11. If the total amount spent is $80, how much is one popcorn?

5\left(11\ +\ p\right)=80

a)

$6

b)

$5

c)

$16

d)

$35

148.

Red Bird Cruises charges $85 per day plus a one-time fee of $75. King Cruises charges $100 per day plus a fee of $30. Write and solve an equation to determine at what number of days the charge for the cruises will be the same.

a)

2 days

b)

5 days

c)

15 days

d)

3 days

149.

Super Fitness Gym charges a $50 membership fee plus $12 per month. Mega Muscles Gym charges a $70 membership fee plus $10 per month. After how many months will their cost be the same.

a)

10 months

b)

11 months

c)

2 months

d)

4 months

150.

There are 9 girl scouts in a girl scout troop. They go ice skating. Each girl pays an entrance fee to the rink and $4 to rent skates. The total cost is $112.50. How much is the entrance fee for each girl scout?

HINT: Use Distributive Property

a)

$12.50

b)

$9.50

c)

$8.50

d)

$13.50

151.

Three people order the same hamburger, fries, and drink combination at the drive through. The hamburger and fries cost $5.50. The total bill is $23.25. How much is each drink?

a)

$2.50

b)

$1.75

c)

$2.25

d)

$1.50

152.

How many solutions does the equation have
-2 ( -4x + 7 ) = -2 + 4x

a)

One Solution

b)

No Solution

c)

Infinite Solutions

153.

How many solutions does the equation have
4 ( 8n - 1 ) = 19 + 32n

a)

One Solution

b)

No Solution

c)

Infinite Solutions

154.

Determine the type of solution you will have if you get
-6=6

a)

one solution

b)

infinite solution=identity

c)

no solution

d)

I don't know. I need to study.

155.

Determine the type of solution you will have if you get
2+3=6

a)

one solution

b)

infinite solution=identity

c)

no solution

d)

I don't know. I need to study.

156.

Determine the type of solution you will have if you get
x=0.25

a)

one solution

b)

infinite solution=identity

c)

no solution

d)

I don't know. I need to study.

157.

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

a)

No Solution

b)

One Solution

c)

Infinite Solution

158.

$5x+4=5x+4$

a)

one solution

b)

no solution

c)

infinite solutions

159.

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

a)

one solution

b)

no solution

c)

infinite solutions

160.

$-2\left(x+1\right)=x-3x-2$

a)

one solution

b)

no solution

c)

infinite solutions

161.

$6x=5x$

a)

one solution

b)

no solution

c)

infinite solutions

162.

$x+9\ =\ x-9$

a)

one solution

b)

no solution

c)

infinite solutions

163.

$4-2x=2x-4$

a)

one solution

b)

no solution

c)

infinite solutions

Term1 Final Review

Total questions: 163

Worksheet time: 5hrs 0mins

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