Free Printable Review #2 for Final Exam

1.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

2.

What is the Slope represented in this table?

a)

slope: $-\frac{1}{4}$

b)

slope: $-4$

c)

slope: $\frac{1}{4}$

d)

slope: $4$

3.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

4.

Find the slope of the line that passes through:
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

5.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

6.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

7.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

8.

Find the slope. Simplify, if you can.

a)

$\frac{1}{2}$

b)

$\frac{4}{8}$

c)

4

d)

2

9.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

10.

What type of slope?

a)

zero slope

b)

undefined

c)

negative

d)

positive

11.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

12.

What type of slope?

a)

positive

b)

negative

c)

zero

d)

undefined

13.

How many graphs have a positive slope?

a)

1

b)

2

c)

3

d)

4

14.

How many graphs have a negative slope?

a)

1

b)

2

c)

3

d)

4

15.

How many graphs have an undefined slope?

a)

1

b)

2

c)

3

d)

4

16.

How many graphs have a zero slope?

a)

1

b)

2

c)

3

d)

4

17.

Calculate the slope of the line:

a)

1

b)

1/2

c)

3

d)

3/4

18.

Calculate the slope of the line

a)

5

b)

1/5

c)

1/4

d)

21

19.

Find the slope of the line through each pair of points.

a)

-7/18

b)

7/18

c)

-18/7

d)

18/7

20.

FIND THE SLOPE.

a)

A

b)

B

c)

C

d)

D

21.

FIND THE SLOPE.

a)

A

b)

B

c)

C

d)

D

22.

FIND THE SLOPE.

a)

A

b)

B

c)

C

d)

D

23.

FIND THE SLOPE.

a)

A

b)

B

c)

C

d)

D

24.

FIND THE SLOPE.

a)

A

b)

B

c)

C

d)

D

25.

FIND THE SLOPE.

a)

A

b)

B

c)

C

d)

D

26.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

27.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

28.

What does "m" stand for in the slope formula?

a)

y axis

b)

slope

c)

y coordinate

d)

x coordinate

29.

What is the slope formula?

a)

b)

c)

d)

30.

Match the following

a)

slope

"movement"

1.

m

b)

y-intercept

"beginning"

2.

b

c)

y = mx + b

3.

Slope-Intercept Form

d)

4.

Slope

e)

5.

y-intercept

31.

Which of these following is not a type of slope

a)

positive

b)

negative

c)

undefined

d)

all of these are types of slope

32.

What is 'b' in this linear equation? y= 5x - 6

a)

6

b)

5

c)

y

d)

-6

33.

whats the slope of the function y=2/3x+6

a)

2/3

b)

3/2

c)

6

d)

-4

34.

What is the slope of the line represented by the equation y = 7 - x?

a)

7

b)

0

c)

1

d)

-1

35.

What is the y-intercept?

$y=-\frac{5}{2}x-\frac{1}{3}$

a)

$-\frac{1}{3}$

b)

$-\frac{5}{2}$

c)

$\frac{5}{2}$

d)

$\frac{1}{3}$

36.

What is the y-intercept of the line graphed below?

a)

3
3

b)

4

c)

-3

d)

4/3

37.

What is the slope of Line A?

a)

1/2

b)

-1/2

c)

2

d)

-2

38.

What would the slope of the line be?

a)

Positive

b)

Negative

c)

0

d)

Undefined

39.

Determine the slope and y-intercept. $y=\frac{3}{2}x+3$

a)

slope: 5

y-intercept: 3/2

b)

slope: 3/2

y-intercept: 3

c)

slope: 4

y-intercept: 3/2

d)

slope: 1/5

y-intercept: 5

40.

What is the slope of the graph?

a)

-2

b)

2

c)

1/2

d)

-1/2

41.

How would you write the equation with a slope of -3 and a y-intercept of 1

a)

y= -3x + 1

b)

y= -x - 3

c)

y= -3x - 1

d)

y= x + 3

42.

How would you write the equation with a slope of 4/5 and a y-intercept of -1

a)

y= -x + 4/5

b)

y= x + 4/5

c)

y= 4/5x - 1

d)

y= 2/5x + 4/5

43.

Name the slope; the m value

a)

2

b)

-2

c)

1/2

d)

1/2x

44.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

45.

In the equation y=mx+b, what does the "m" represent?

a)

slope

b)

linear

c)

y-intercept

d)

point-slope

46.

What variable represents y-intercept?

a)

y

b)

m

c)

x

d)

b

47.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

48.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

49.

Match the Graph with its slope.

a)

1.

Negative

b)

2.

Positive

c)

3.

Zero

d)

4.

Undefined

50.

Slope is know as

rise/______

a)

run

b)

fall

c)

none

d)

rise

51.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

52.

Write an equation of a line in point-slope form with a slope of 6 that goes through (11, 5)

a)

y-5=6(x-11)

b)

y-11=6(x-5)

c)

y+5=6(x+11)

d)

y+11=6(x+5)

53.

Write an equation of a line in point-slope form with a slope of 2 that goes through (1, -2)

a)

y+2=2(x-1)

b)

y+2=2(x+1)

c)

y-1=2(x+2)

54.

What is the slope of the line that passes through the following points:
(7, 10) and (10, 9).

a)

-1

b)

-1/3

c)

4

d)

3

55.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

56.

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

57.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

58.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

59.

Identify the slope and the point from the equation:
y - 10 = -5/2 (x + 5)

a)

m=5, pt: (-10, 5)

b)

m= -5/2 pt: (-5, 10)

c)

m= 2/5 (5, 10)

d)

m= -10, pt: 5

60.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, 7); m = -1/4

a)

y - 7 = -¹/₄(x - 4)

b)

y - 4 = -¹/₄(x + 7)

c)

y + 7 = 4(x - 4)

d)

y + 7 = -¹/₄(x + 4)

61.

Which is NOT a correct point-slope equation for the line in #14?

a)

y - 0 = 1/2(x + 2)

b)

y - 1 = 1/2(x - 0)

c)

y + 2 = 1/2(x + 2)

d)

y - 2 = 1/2(x - 2)

62.

What is the point given in the following equation?
y-2= 3(x+1)

a)

(1,3)

b)

(-1,2)

c)

(1,-2)

d)

(-2,1)

63.

(0,0) can also be called the ________.

a)

centre

b)

origin

c)

point

d)

middle

64.

Write the equation of the line in Point-Slope Form.

a)

y=-3/4(x-2)

b)

y-2=3/5(x-5)

c)

y=3/5x-1

d)

y-5=3/5(x-2)

65.

The zero of a function is also known as the __________________.

a)

y-intercept

b)

Origin

c)

x-intercept

d)

Input

66.

Simplify.

$\sqrt[]{128}$

a)

8 $\sqrt[]{2}$

b)

7 $\sqrt[]{3}$

c)

4 $\sqrt[]{4}$

d)

12 $\sqrt[]{5}$

67.

Simplify:

a)

√5

b)

(√14)/2

c)

√7

d)

Cannot be simplified

68.

Simplify:

$\frac{\sqrt{20}}{\sqrt{5}}$

a)

$\frac{2\sqrt{5}}{5}$

b)

$\frac{1}{5}$

c)

$4$

d)

$2$

69.

Simplify.

a)

b)

c)

d)

70.

Simplify.

a)

b)

c)

d)

71.

Simplify √40

a)

4√10

b)

10√4

c)

2√10

d)

10√2

72.

Simplify:

a)

2

b)

4√3

c)

2√3

d)

4

73.

Simplify.

a)

b)

c)

d)

74.

Simplify:

a)

2√12

b)

4√12

c)

4√3

d)

16√3

75.

Simplify √24

a)

4√6

b)

3√8

c)

2√6

d)

6√2

76.

Simplify:

a)

A

b)

B

c)

C

d)

D

77.

Simplify the expression:

a)

8√6

b)

6√6

c)

8√5

d)

64√6

78.

Simplify

a)

40

b)

√14

c)

-10√10

d)

2√10

79.

Simplfiy

a)

5√2

b)

0

c)

2√2

d)

-3√2

80.

Simplify the expression:

a)

√2 - 3√3

b)

2√-59

c)

-2√2 - 3√3

d)

-3.782

81.

Simplify:

a)

81√3

b)

9√3

c)

3√3

d)

√3

82.

Simplify

a)

9

b)

5√2 + 2

c)

10√2

d)

2√2 + 3√30

83.

Which value is a perfect square AND a perfect cube?

a)

A 4

b)

B 100

c)

C 16

d)

D 1

84.

Simplify:

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

85.

Simplify the following radical: 2√24

a)

4√6

b)

2√6

c)

24√2

d)

4√4

86.

a)

7√3

b)

Can't Simplify

c)

6√15

d)

6√3

87.

a)

8√6

b)

8√12

c)

12√6

d)

12√12

88.

a)

11√5

b)

11√10

c)

5√5

d)

12√10

89.

a)

A

b)

B

c)

C

d)

D

90.

√5 × √10

a)

50

b)

2√5

c)

5√2

d)

5√10

91.

$2\sqrt{5}-\sqrt{5}+4\sqrt{5}+\sqrt{3}$

a)

$6\sqrt{5}+\sqrt{3}$

b)

$5\sqrt{5}+\sqrt{3}$

c)

$6\sqrt{5}$

d)

$6\sqrt{3}$

92.

Which of these expressions CANNOT be multiplied together?

a)

(³√6)(√7)

b)

(⁴√3)(⁴√18)

c)

(√16)(√4)

d)

(³√5)(³√-25)

93.

Simplify:

$\frac{\sqrt{20}}{\sqrt{5}}$

a)

$\frac{2\sqrt{5}}{5}$

b)

$\frac{1}{5}$

c)

$4$

d)

$2$

94.

SImplify:

a)

$5\sqrt{6}$

b)

$25\sqrt{6}$

c)

$\sqrt{150}$

d)

$10\sqrt{15}$

95.

$\frac{\sqrt{147}}{\sqrt{3}}$

a)

7

b)

$\sqrt{7}$

c)

$\sqrt{49}$

d)

49

96.

Simplify √40

a)

4√10

b)

10√4

c)

2√10

d)

10√2

97.

Simplify √24

a)

4√6

b)

3√8

c)

2√6

d)

6√2

98.

Solve for c.

a)

7

b)

9

c)

4

d)

13

99.

What is the side of a right triangle across from the right angle called?

a)

square

b)

arm

c)

leg

d)

hypotenuse

100.

The √20 is between which two integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

101.

The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

102.

Find the exact value of x.

a)

√33

b)

√29

c)

√35

d)

√41

103.

Find the EXACT value of x.

a)

√8

b)

8

c)

√2

d)

√4

104.

Simplify the following radical: √300

a)

3√10

b)

2√150

c)

100√3

d)

10√3

105.

√72

a)

7√9

b)

4√6

c)

6√2

d)

3√4

106.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

107.

Simplify the following radical: √196

a)

2√49

b)

14

c)

7

d)

2√98

108.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

109.

Find the EXACT value of x in simplified radical form if necessary.

a)

√8

b)

8

c)

2

d)

2√2

110.

Find the missing side length. Leave answer in simplest radical form.

a)

A

b)

B

c)

C

d)

D

111.

Find the missing side length. Leave answer in simplest radical form.

a)

A

b)

B

c)

C

d)

D

112.

Find the missing side length. Leave answer in simplest radical form.

a)

A

b)

B

c)

C

d)

D

113.

Find the missing side length. Leave answer in simplest radical form.

a)

A

b)

B

c)

C

d)

D

114.

Find the missing side length. Leave answer in simplest radical form.

a)

A

b)

B

c)

C

d)

D

115.

Find the missing side length. Leave answer in simplest radical form.

a)

A

b)

B

c)

C

d)

D

116.

Find the missing side length. Leave answer in simplest radical form.

a)

A

b)

B

c)

C

d)

D

117.

Find the missing side length. Leave answer in simplest radical form.

a)

A

b)

B

c)

C

d)

D

118.

Find the missing side of each triangle. Leave answers in simplest radical form.

a)

$6\sqrt{11}$ cm

b)

$2\sqrt{123}$ cm

c)

$4\sqrt{6}$ cm

d)

$2\sqrt{74}$ cm

119.

Find the missing side of each triangle. Leave answers in simplest radical form.

a)

$9\sqrt{2}$ cm

b)

$\sqrt{177}$ cm

c)

$\sqrt{113}$ cm

d)

$\sqrt{15}$ cm

120.

Find the missing side of each triangle. Leave answers in simplest radical form.

a)

$2\sqrt{17}$ in

b)

$2\sqrt{22}$ in

c)

$2\sqrt{13}$ in

d)

$2\sqrt{5}$ in

121.

Simplify:

$10^5\cdot10^7$

a)

$10^{35}$

b)

$100^{12}$

c)

$10^{12}$

d)

None of the above

122.

Simplify:

$t^9\cdot t^8$

a)

$t^1$

b)

$t^{72}$

c)

$t^{17}$

d)

None of the above

123.

Simplify:

$y^{12\ }\cdot y^{10}$

a)

$y^2$

b)

$y^{22}$

c)

$y^{120}$

d)

None of the above

124.

Simplify:

$4^3\cdot4^3$

a)

$4^6$

b)

$4^9$

c)

$16^6$

d)

None of the above

125.

Simplify:

$7^8\cdot7$

a)

$7^9$

b)

$49^8$

c)

$7^8$

d)

None of the above

126.

Simplify:

$\left(6x^2\right)\left(-3x^5\right)$

a)

$18x^7$

b)

$-18x^7$

c)

$3x^7$

d)

None of the above

127.

Simplify:

$c^5\cdot c^3\cdot c^3$

a)

$c^{45}$

b)

$3c^{11}$

c)

$c^{11}$

d)

None of the above

128.

Simplify:

$2m^4\cdot5m^2$

a)

$10m^6$

b)

$10m^8$

c)

$7m^6$

d)

None of the above

129.

Simplify:

$x^3\cdot x^5\cdot x^{10}$

a)

$x^2$

b)

$18x$

c)

$x^{150}$

d)

None of the above

130.

Simplify:

$3x^2\left(-5x^4\right)$

a)

$15x^2$

b)

$-15x^8$

c)

$-2x^6$

d)

None of the above

131.

Simplify:

$10u^3v^5\cdot7v^3$

a)

$70u^3v^{15}$

b)

$17u^3v^8$

c)

$70u^3v^8$

d)

None of the above

132.

The length of a rectangle is 4a⁴b⁵ and the width is 3a²b³, what is the expression that represents the area of the rectangle?

Area = length ⋅ width

a)

12a⁶b⁸

b)

7a⁶b⁸

c)

12a⁸b¹⁵

d)

12a²b²

133.

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

a)

When he multiplies exponents, he is supposed to add the base and the exponent

b)

When he multiplies exponents, he is supposed to multiply the base and keep the exponents

c)

When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same

d)

None of the above

134.

Find the missing exponent:

$3^{16}=3^8\cdot3^?$

a)

2

b)

8

c)

4

d)

1

135.

Simplify the following expression:

(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

136.

Simplify the following expression:

(b³)⁸

a)

b¹¹

b)

8b³

c)

b²⁴

d)

24b

137.

Which shows the Power Rule used correctly? $\left(ab\right)^5$

a)

$ab^5$

b)

$a^5b^5$

c)

$a^5b$

d)

$a^6b^6$

138.

Simplify. $\left(m^3\right)^5$

a)

$m^8$

b)

$m^{15}$

c)

$8m$

d)

$15m$

139.

$\left(x^5y^7\right)^3\ =\ x^{15}y^{21}$

a)

True

b)

False

140.

Simplify.

THIS IS PRODUCT RULE!

m⁵⋅m²

a)

m⁷

b)

m³

c)

m¹⁰

d)

m²

141.

$\left(3n^4\right)^3$

a)

$9n^{12}$

b)

$9n^7$

c)

$27n^7$

d)

$27n^{12}$

142.

Simplify the following expression:

(3y⁴)²

a)

9y⁸

b)

9y⁶

c)

6y⁸

d)

6y⁶

143.

(2ab)³

a)

2³a³b³

b)

2ab³

c)

6a³b³

d)

6ab

144.

Simplify the following expression:

(3x³y⁵)⁴

a)

3x¹²y²⁰

b)

81x¹²y²⁰

c)

12x¹²y²⁰

d)

81x⁷y⁹

145.

Simplify. $\left(2cd^2\right)^4$

a)

$2^4c^4d^6$

b)

$2^4c^4d^8$

146.

Simplify the exponential expression. $\left(\left(-2\right)^5\right)^8$

a)

$\left(-2\right)^{40}$

b)

$\left(-2\right)^{13}$

c)

$\left(-2\right)^3$

d)

$\left(-2\right)^{16}$

147.

Simplify the exponential expression. $\left(3^2a^4\right)^5$

a)

$3^{10}a^9$

b)

$3^{10}a^{20}$

c)

$3^7a^9$

d)

$3^7a^{20}$

148.

Which option follows the product of a power rule for exponents with the same base?

a)

(9²)(9¹) = 9³

b)

(9²)(9¹) = 9¹

c)

(9²)(9¹) = 9²

149.

Use the properties of exponents to write the expression as a single power: (1¹¹)(1¹) =

a)

1¹²

b)

1¹⁰

c)

1¹¹

150.

(-2ab)³

a)

-2³a³b³

b)

2ab³

c)

6a³b³

d)

6ab

151.

True or False:

a)

True

b)

False

152.

Simplify the expression.

a)

7⁶

b)

7^-5

c)

1/7⁵

d)

7⁵

153.

Simplify the expression.

a)

1²²

b)

1³⁰

c)

6²²

d)

6³⁰

154.

Quotient Rule states: keep the base the same and do this to the exponents.

a)

multiply

b)

add

c)

subtract

d)

divide

155.

True or False?

a)

True

b)

False

156.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

157.

(2⁵ x 2³)²

a)

2¹⁶

b)

2¹⁰

c)

2¹¹

d)

2¹⁷

158.

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

Example: (3⁴)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

159.

$\left(9^6\right)^5$

Simplify the expression

a)

$9^{30}$

b)

$9^{11}$

c)

$9^1$

d)

$9^{12}$

160.

Use Power of a Product to simplify:

a)

$3^3\cdot3^1$

b)

$3^{18}\cdot3^6$

c)

$3^9\cdot3^5$

d)

$3^2\cdot3^{\frac{2}{3}}$

161.

Use Power of a Power to simplify:

a)

$\left(-2\right)^{20}$

b)

$\left(-2\right)^1$

c)

$\left(-2\right)^9$

d)

$\left(-2\right)^{\frac{5}{4}}$

162.

Use Product of Powers to simplify:

a)

$\left(4\right)^{\frac{-2}{5}}$

b)

$\left(4\right)^7$

c)

$\left(4\right)^3$

d)

$\left(4\right)^{-10}$

163.

Use Quotient of Powers to simplify:

a)

$12^{\frac{7}{3}}$

b)

$12^{21}$

c)

$12^{10}$

d)

$12^4$

164.

Use your CALCULATOR to find the value of the expression.

165.

Use your calculator to find the value of the expression.

166.

Use your calculator to find the value of the expression.

167.

Use your calculator to find the value of the expression.

168.

Simplify:
(x³)²

a)

x⁵

b)

x

c)

x⁶

d)

3x²

169.

(8⁸)(8⁶) =

a)

8⁴⁸

b)

8¹⁴

c)

8²

170.

Find the missing exponent:

$3^{16}=3^8\cdot3^?$

a)

2

b)

8

c)

4

d)

1

171.

Simplify:

$c^5\cdot c^3\cdot c^3$

a)

$c^{45}$

b)

$3c^{11}$

c)

$c^{11}$

d)

None of the above

172.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

173.

Simplify and write with positive exponents only.

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

a)

$x^{18}$

b)

$x^8$

c)

$x^{20}$

d)

$x^{12}$

174.

Simplify . $\frac{45x^6y^9}{5x^4y^2}$

a)

$\frac{9}{x^2y^7}$

b)

$\frac{1}{x^2y^7}$

c)

$9x^2y^7$

175.

Simplify the expression.

a)

1

b)

g¹⁰

c)

g²⁵

d)

g

176.

Simplify the expression:

$\frac{x^8}{x^2}$

a)

$x^6$

b)

$x^2$

c)

$x^4$

d)

$4x$

177.

Simplify the expression:

$\frac{a^3}{a^{12}}$

a)

$a^9$

b)

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

c)

$a^4$

d)

$\frac{1}{a^4}$

178.

Simplify the expression:

$\frac{12x^9y^4z^2}{24x^3y^4z^6}$

a)

$2x^3z^3$

b)

$\frac{x^6}{2z^4}$

c)

$\frac{x^3}{2z^3}$

d)

$\frac{2x^6}{x^4}$

179.

Simplify the expression shown. Your answer should contain only positive exponents.

a)

b)

c)

d)

180.

Simplify the expression shown. Your answer should contain only positive exponents.

a)

b)

c)

d)

Review #2 for Final Exam_Alg Support 2024

Total questions: 180

Worksheet time: 10hrs 20mins

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