Free Printable 2021 Semester Exam

1.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

2.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

3.

What was done to solve the equation?

(Line 1) 5x - 8 = 32

(Line 2) 5x = 40

(Line 3) x = 8

a)

add 8 to both sides, then divide both sides by 5

b)

add 8 to both sides, then divide both sides by 40

c)

subtract 8 from both sides, then divide both sides by 5

d)

subtract 8 from both sides, then multiply both sides by 5

4.

Solve 7k - 14 = 42

a)

7

b)

-8

c)

0

d)

8

5.

Solve $\frac{x}{5}+2\ =\ 6$

a)

t = 20

b)

t = -20

c)

t = -40

d)

t = 40

6.

Solve for x.

3x - 5 = 4

a)

x = 1/3

b)

x = 3

c)

x = -1/3

d)

x = -3

7.

Solve for x. $\frac{x}{7}-8=16$

a)

x = 56

b)

x = 8/7

c)

x = 24/7

d)

x = 168

8.

Solve -4x + 1 = 21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

9.

Solve 8 = 4v + 12

a)

-1

b)

1

c)

0

d)

-10

10.

What is the first step to solve for x. $-9\ +\ 3x\ =\ 10$

a)

Subtract 9 from both sides of the equation.

b)

Add 9 to both sides of the equation.

c)

Subtract 3 from both sides of the equation.

d)

Add 10 to both sides of the equation.

11.

An example of a whole number is:

a)

4/9

b)

-9

c)

5.2

d)

17

12.

Which number is irrational?

a)

.363636

b)

.25

c)

1.4568259....

13.

Classify 15 in the real number system.

a)

Natural, Whole, Integer, Rational

b)

Irrational

c)

Natural, Whole, Rational, Irrational

14.

-15 = 5a +12- 2a + 6

a)

-11

b)

-3

c)

10

d)

7

15.

Identify if this equation has one solution, infinitely many solutions or no solution.
-3x+1=x+9-4x

a)

one solution

b)

infinitely many

c)

no solution

16.

−6 < 2t − 5 < 3

a)

−0.5 < t < 4

b)

0.5 < t < −1

c)

−11/2 < t < 2

d)

11/2 < t < −2

17.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

infinite solutions

b)

x = 1

c)

x = -1

d)

no solution

18.

Which step cannot be performed first when solving the equation
5 - 2(x - 7) = x + 1 + 3x

a)

Distributing -2 to (x - 7)

b)

Combining x and 3x

c)

Subtracting 1 from both sides

d)

5 - 2

19.

0≤x<3

a)

b)

c)

20.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

21.

4(2a + 3) < 3(a - 1)

a)

a < -3

b)

a > -3

c)

a < 3

d)

a > 3

22.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

23.

5z - 2 - 2z < 13

a)

z > 5

b)

z < 5

c)

z > 1

d)

z < 1

24.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

25.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

26.

If 15 > x - 1 then a possible set of solutions for x is...

a)

1, 7, 15

b)

19, 22, 30

c)

80, 100

27.

Solve:
3(x - 2) < 2(x + 9)

a)

x<24

b)

x>12

c)

x<12

d)

x>24

28.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

29.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

30.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

31.

When solving, does the sign need to flip when solving?

8y < (-40)

a)

YES

b)

NO

32.

If you solve this, will you end up reversing the sign?

-3x + 2 ≤ 22

a)

YES

b)

NO

33.

-8<2(x+4) or -3x+4>x-4

a)

No solutions

b)

x<-8 or x<2

c)

x>-8 or x<2

d)

x<-8 and x<2

34.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-1 < x < 3

c)

1 < x < 3

d)

1 ≤ x ≤ 3

35.

Solve 24 > -3r > -9

a)

-8 < r < 3

b)

-8 > r > 3

c)

r > - 8 and r > 3

d)

r > -8 or r < 3

36.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

37.

Write an inequality for Graph 2.

a)

-2 ≤ x < 5

b)

x ≤ -2 AND x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

38.

When solving inequalities you must _________________ the inequality when ____________________ by a negative.

a)

flip; dividing

b)

ignore; multiplying and dividing

c)

flip; multiplying

d)

flip; multiplying and dividing

39.

Solve the following compound inequality:

−4x + 1 ≤ 21 and 5x + 2 < 22

a)

x > −5 or x ≤ 4

b)

x ≥ −5 or x < 4

c)

x > −5 and x ≤ 4

d)

x ≥ −5 and x < 4

40.

Solve the following inequality:

3x + 2 < −4 or 4x + 4 > 24

a)

x < −2 or x > 5

b)

x < 2 or x > 5

c)

x < −2 and x > 5

d)

x < 2 and x > 5

41.

What inequality is graphed?

a)

x > 2 and x ≤ −3

b)

x > 2 and x < −3

c)

x > 2 or x ≤ −3

d)

x > 2 or x < −3

42.

Solve the following compound inequality:

3x − 4 < −13 or 7x + 1 > 22

a)

All Real numbers

b)

x > 3 and x > −9

c)

The answer is not listed

d)

x < −3 or x > 3

43.

Solve the following compound inequality:

−8 < 2(x + 4) or −3x + 4 > x − 4

a)

No solutions

b)

x < −8 or x < 2

c)

x > −8 or x < 2

d)

x < −8 and x < 2

44.

−6 < 2t − 5 < 3

a)

−0.5 < t < 4

b)

0.5 < t < −1

c)

−11/2 < t < 2

d)

11/2 < t < −2

45.

Solve this system of equations.
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

46.

Solve the system by substitution.

5x + 4y= −14
y = −7x − 15

a)

(-2, -1)

b)

(1, -2)

c)

(-2, 1)

d)

(-1, -2)

47.

x + 2y = 2
x = -4y + 2

a)

(-3, 0)

b)

(0, 2)

c)

(-3, -2)

d)

(2, 0)

48.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-1 < x < 3

c)

1 < x < 3

d)

1 ≤ x ≤ 3

49.

When graphing "AND" inequalites, shading looks like___

a)

Shading that always connects the 2 dots.

b)

Shading that always points away from each dot

c)

2 shaded arrows pointing in same direction(both left)

d)

2 shaded arrows pointing in same direction (both right)

50.

Solve:

a)

A

b)

B

c)

C

d)

D

51.

x+2<-4 or -5x<-15

a)

-6<x<3

b)

x<-3 and x>6

c)

x<-6 or x>3

d)

No Solution

52.

2<x+2<5

a)

0<x<3

b)

4<x<7

c)

4<x<3

d)

0<x<7

53.

a)

A

b)

B

c)

C

d)

D

54.

Solve:

a)

A

b)

B

c)

C

d)

D

55.

What inequality is graphed?

a)

x > 2 and x < 4

b)

x ≥ 2 and x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

56.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

57.

Solve:
-4x + 1 ≤ 21 and 5x + 2 < 22

a)

x > -5 or x ≤ 4

b)

x ≥ -5 or x < 4

c)

x > -5 and x ≤ 4

d)

x ≥ -5 and x < 4

58.

Solve:
3x + 2 < -4 or 4x + 4 > 24

a)

x < -2 or x > 5

b)

x < 2 or x > 5

c)

x < -2 and x > 5

d)

x < 2 and x > 5

59.

Solve:
3x + 2 < -7 or -4x + 5 < 1

a)

x < -3 and x < 1

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

60.

a)

A

b)

B

c)

C

d)

D

61.

Could x = - 5 be a solution to the inequality -6 < 3x + 9 < 21?

a)

yes

b)

no

62.

Solve 24 > -3r > -9

a)

-8 < r < 3

b)

-8 > r > 3

c)

r > - 8 and r > 3

d)

r > -8 or r < 3

63.

x + 8 < 3 or - 8x < -40

a)

x > -5 or x < 5

b)

x < -5 and x > 5

c)

x < -5 or x > 5

d)

x > -5 and x < 5

64.

Solve and graph:

a)

A

b)

B

c)

C

d)

D

65.

What inequality is graphed?

a)

2 < x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

66.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

67.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

68.

Which compound inequality is graphed above?

a)

-2 < x ≤ 2

b)

-2 > x ≤ 2

c)

-2 < x < 2

d)

-2 ≥ x < 2

69.

When graphing the solutions to "OR" inequalities, The shading looks like___

a)

Shading that connects the 2 dots

b)

Shading that points away and never crosses.

c)

Shading that points toward each other and ALWAYS crosses

d)

Shading that points opposite, but sometimes crosses.

70.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

71.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

72.

Which equation is being represented by this line?

a)

y = -1x + 2

b)

y = 1/2x + 2

c)

y = 3x -4

d)

y = -3x +2

73.

Identify the y-intercept for the function:
y=-3x

a)

-3

b)

0

c)

1

d)

-1

74.

x = -6 is a ___________ line

a)

vertical

b)

horizontal

75.

y = 8 is a ____________ line

a)

vertical

b)

horizontal

76.

what is the equation of the line shown

a)

y = 2

b)

x = 2

77.

What is the equation of the graph?

a)

y = - 3

b)

x = -3

78.

Find the slope of the line shown.

a)

1/2

b)

-1/2

c)

2

d)

-2

79.

What is the slope of a vertical line?

a)

0

b)

undefined

c)

1

d)

-1

80.

These two lines intersect at _____.

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

No solution

81.

The solution is:

a)

(4, 3)

b)

(3, 4)

c)

(-4, 3)

d)

No solution

82.

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-1, 4)

b)

(1, -4)

c)

(-4, 1)

d)

(4, -1)

83.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

84.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

d)

they have different y-intercepts.

85.

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

86.

What is the solution to this system of equations?

a)

(4, -1)

b)

(-1, 4)

c)

(-4, 1)

d)

(-4, -1)

87.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

88.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

89.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

90.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

91.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

92.

Give the solution to the system.

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

(1, -3)

93.

Where do these two lines intersect?

a)

No solution

b)

(-2, 3)

c)

(3, -2)

d)

(2, 3)

94.

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

95.

What is f(8)?

a)

8

b)

0

c)

3

d)

-2

96.

Evaluate f(-2) if f(x) = x+3

a)

-1

b)

1

c)

5

d)

-5

97.

Given f(x) =
2x² + 5x - 17, find f(-1).

a)

f(-1) = -20

b)

f(-1) = -24

98.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

99.

What is x if
f(x) = -2?

a)

4

b)

0

c)

3

d)

8

100.

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

a)

After 5 week the plant is 4 inches tall

b)

The plant grows at a rate of 5/4 inch per week

c)

After 4 weeks the plant is 5 inches tall

d)

The plant grows at a rate of 1 inch per week

101.

What is f(1)?

a)

1

b)

5

c)

0

d)

4

102.

f(x) is the same thing as ______.

a)

y

b)

x

c)

input

d)

an equation

103.

For the function f(x) = -3x+3 find f(0).

a)

0

b)

-3

c)

3

d)

-1

104.

This is a graph of f(x). Find f(x) = 3?

a)

8

b)

0

c)

3

d)

-2

105.

Complete the function notation below
f(____) = 214

a)

1990

b)

1991

c)

1989

d)

1994

106.

For what value of t is H(t) = 4" ?

a)

0

b)

1

c)

2

d)

14

107.

This table represents f(x). What is f(5)?

a)

2

b)

4

c)

6

d)

8

108.

This table represents f(x). What is f(x)=4?

a)

7

b)

-3

c)

6

d)

-2

109.

_{Using the graph, what does f(8) equal?}

a)

8

b)

2

c)

1

d)

0

110.

Given f(x) = 2x² + 5x - 17, find f(-1).

a)

f(-1) = -20

b)

f(-1) = -24

111.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

112.

Which of the following is a solution to the systems of inequalities?

a)

(0, 0)

b)

(-3, 0)

c)

(2, -5)

d)

(3, -1)

113.

Which of the following is NOT a solution to the systems of inequalities?

a)

(0, 0)

b)

(3, -2)

c)

(3, -4)

d)

(4, -4)

114.

Which of the following is a solution to the systems of inequalities?

a)

(0, -2)

b)

(-3, 0)

c)

(-3, 2)

d)

(1, 1)

115.

Which of the following is NOT a solution to the systems of inequalities?

a)

(0, 0)

b)

(-4, 0)

c)

(2, 2)

d)

(3, 1)

116.

Which of the following is a solution to the systems of inequalities?

a)

(0, 0)

b)

(1, 1)

c)

(-4, -2)

d)

(4, -2)

117.

Which of the following is NOT a solution to the systems of inequalities?

a)

(-5, 0)

b)

(-5, 1)

c)

(-3, -1)

d)

(-2, -1)

118.

Which of the following is a solution to the systems of inequalities?

a)

(-1, -3)

b)

(3, 0)

c)

(-2, 2)

d)

(4, 1)

119.

Which of the following is NOT a solution to the systems of inequalities?

a)

(0, 0)

b)

(1, 5)

c)

(2, 0)

d)

(5, 1)

120.

Which of the following is a solution to the systems of inequalities?

a)

(1, -5)

b)

(2, 3)

c)

(-2, 3)

d)

(-1, 1)

121.

Which of the following is NOT a solution to the systems of inequalities?

a)

(0, 0)

b)

(3, 1)

c)

(-2, 0)

d)

(4, 3)

122.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

123.

Which system of linear inequalities is represented by the graph?

a)

y≤2x-1
y>-2x+3

b)

y>2x-1
y≤-2x+3

c)

y<2x-1
y≥-2x+3

d)

y≤2x-1
y>2x+3

124.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

125.

This system has an infinite number of solutions, TRUE or FALSE?

a)

TRUE

b)

FALSE

126.

What is the solution to this system?

a)

The blue shaded area.

b)

infinite solutions

c)

no solution

d)

The red shaded area.

127.

How can I tell if an inequality will have a solid line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

128.

Consider the equation:
y=-x+4
Identify the slope and y-intercept.

a)

m=4, b=-x

b)

m=-x, b=4

c)

m=1, b=4

d)

m=-1, b=4

129.

Will my line be solid?
5 ≥ x

a)

Yes

b)

No

130.

y ≥ -2x - 2 will have what type of line

a)

dashed

b)

solid

131.

y ≥ -2x - 2 will be shaded

a)

above

b)

below

132.

y < x - 2 will have what kind of line?

a)

dashed

b)

solid

133.

y < x - 2 will be shaded

a)

above

b)

below

134.

y < 6x + 1 will have what kind of line?

a)

dashed

b)

solid

135.

y < 6x + 1 will be shaded

a)

above

b)

below

136.

x ≥ 2 will have what type of line?

a)

dashed

b)

solid

137.

x ≥ 2 will be shaded

a)

above

b)

below

138.

y ≥ 5 will have what type of line?

a)

dashed

b)

solid

139.

y ≥ 5 will be shaded

a)

above

b)

below

140.

y ≤ -3x +1 will have what type of line?

a)

dashed

b)

solid

141.

y ≤ -3x + 1 will be shaded

a)

above

b)

below

142.

y ≤ x - 2 will have what type of line?

a)

dashed

b)

solid

143.

y ≤ x - 2 will be shaded

a)

above

b)

below

144.

Is this graph shaded above or below?

a)

above

b)

below

145.

Is this graph shaded above or below?

a)

above

b)

below

146.

Choose the correct inequality for this graph.

a)

$y>2x-3$

b)

$y\ge2x-3$

c)

$y<2x-3$

d)

$y\le2x-3$

147.

Choose the correct inequality for this graph.

a)

$y<-1$

b)

$y\le-1$

c)

$x<-1$

d)

$x\le-1$

148.

Choose the correct inequality for this graph.

a)

$y>-2$

b)

$y\ge-2$

c)

$x>-2$

d)

$x\ge-2$

149.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

150.

Select the graph for y ≥ 1/3x + 2

a)

A

b)

B

c)

C

d)

D

151.

Are the points on the boundary line part of the solution set or not?

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

2021 Semester Exam - Algebra 2

Total questions: 151

Worksheet time: 37hrs 16mins

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