Free Printable Algebra 1 Midterm Review

1.

-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

2.

3n = 39

a)

117

b)

36

c)

12

d)

13

3.

$22\ +y=37$

(a)

4.

m - 4 = 10

a)

-6

b)

6

c)

-14

d)

14

5.

10 = k + 19

(a)

6.

What would be the best first step to solving the equation in one step?

a)

multiply both sides by ³/₂

b)

divide both sides by 3

c)

multiply both sides by 3

d)

subtract ²/₃ from both sides

7.

Solve 7k - 14 = 42

a)

7

b)

-8

c)

0

d)

8

8.

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

a)

t = 20

b)

t = -20

c)

t = -40

d)

t = 40

9.

Solve for x.

3x - 5 = 4

a)

x = 1/3

b)

x = 3

c)

x = -1/3

d)

x = -3

10.

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

a)

x = 56

b)

x = 8/7

c)

x = 24/7

d)

x = 168

11.

Solve -4x + 1 = 21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

12.

8 = (³⁄₄)a +12 - a + 4

a)

32

b)

-6

c)

-4

d)

4

13.

4(a + 3) = -32

a)

-11

b)

-44

c)

-20

d)

-8

14.

8v - 4(v + 8) = 8

15.

2x - 3 + 4x = 27

16.

2x + 3(5x - 7) = 47

17.

Solve for x.

18.

Solve

9\left(m-3\right)+3m=7m+43

a)

12

b)

14

c)

-12

d)

-14

19.

Solve

2\left(4w-1\right)=-10\left(w-3\right)+4

a)

2

b)

-2

c)

0

d)

-1

20.

Solve

5-\left(x-18\right)=6-2\left(x+15\right)

a)

1

b)

8

c)

-7

d)

7

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

A

b)

B

c)

C

d)

D

23.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

24.

8x + 4y= 16 for y

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

25.

Solve the formula for b. What is the 1st step?

a)

Subtract h from each side.

b)

Add h to each side.

c)

Divide each side by h.

d)

Multiply each side by 2.

26.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

27.

Solve the inequality.
30 + n ≥ 50

a)

x > 50

b)

x > 80

c)

x < 30

d)

x > 20

28.

$\frac{x}{2\ }\ <\ 4$

a)

$x\ =\ 8$

b)

$x\ <\ 8$

c)

$x\ \le\ 8$

29.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

30.

Solve and graph the inequality.
7n - 1 > 76

a)

A

b)

B

c)

C

d)

D

31.

Solve and graph the inequality.
77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

32.

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

33.

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

34.

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

35.

Solve the following equation:

|−4 + 5x| = 16

a)

{16/5,12/5}

b)

{4, −5}

c)

{−12/5, 4}

d)

{4}

36.

Solve the following equation:

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3, x = −6

c)

x = 3, x = −12

d)

x = 6, x = −12

37.

Solve the following equation:

|2a + 10| = 6

a)

a = 8, a = 2

b)

a = −2

c)

a = −8

d)

a = −8, a = −2

38.

Solve the following equation:

|v + 8| − 5 = 2

a)

{−1, −15}

b)

{−1, −5}

c)

{−15, 15}

d)

No Solution

39.

Solve the following equation:

−2|−2r − 4| = −12

a)

{3, 1}

b)

{−5, 1}

c)

{−5, 5}

d)

No Solution

40.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2/1

d)

-2/1

41.

What is the slope of the line $y=-2x+2$

a)

3

b)

-3

c)

2

d)

-2

42.

State the slope of the red line.

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

43.

What is the y-intercept of the line with the equation
$y\ =\ -2x\ +\ 4$

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

44.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

45.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

46.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

47.

If you have a slope of 1/2 that means you could...

a)

Go up 1 and right 2 units.

b)

Go right 1 and up 2 units.

c)

Go down 1 and left 2 units.

d)

Go left 2 and down 1.

48.

Write the point slope equation, y-3=2(x-6), in slope intercept form.

a)

y=2x-15

b)

y=2x-9

c)

y=2x-3

d)

y=2x-12

49.

Write the point slope equation, y+2=-3(x+5), in slope intercept form.

a)

y=-3x-17

b)

y=-3x-13

c)

y=-3x+3

d)

y=3x+17

50.

Write the equation in point slope form that passes through the point (2, 7) and has a slope of -4.

a)

y+7=-4(x+2)

b)

y-7=-4(x-2)

c)

y-2=-4(x-7)

d)

y+2=-4(x+7)

51.

Write the equation in point slope form that passes through the point (12, 5) and has a slope of -3.

a)

y-12=-3(x-5)

b)

y+12=-3(x+5)

c)

y-5=-3(x-12)

d)

y+5=-3(x+12)

52.

Write the equation in point slope form that passes through the point (4, -5) and has a slope of 6.

a)

y+5=6(x-4)

b)

y-5=6(x-4)

c)

y-5=6(x+4)

d)

y-4=6(x+6)

53.

What is standard form of a linear function?

a)

y = mx + b

b)

ax + by = c

c)

ax² + bx + c

54.

Write the equation in slope-intercept form.

7x\ -\ 2y\ =\ 24

a)

$y=\frac{7}{2}x-24$

b)

$y=-\frac{7}{2}x+12$

c)

$y=\frac{7}{2}x-12$

d)

$y=\frac{2}{7}x+12$

55.

Write the equation in slope-intercept form.

x+7y=-21

a)

$x=-7y-21$

b)

$y=\frac{1}{7}x-21$

c)

$y=-7x-3$

d)

$y=-\frac{1}{7}x-3$

56.

What is the x-intercept in the equation?

6x-3y=-36

a)

-6

b)

6

c)

12

d)

-12

57.

What is the y-intercept in the equation?

6x-3y=-36

a)

-6

b)

6

c)

12

d)

-12

58.

Graph the equation.

3x-4y=12

a)

b)

c)

d)

59.

Write the Slope-Intercept Form of the equation of the line described

a)

A

b)

B

c)

C

d)

D

60.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

61.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

62.

Write the equation of a line PERPENDICULAR to $y=\frac{1}{3}x-9$ that passes through the point (-6, 10).

a)

$y=\frac{1}{3}x-9$

b)

$y=\frac{1}{3}x+10$

c)

$y=-3x+6$

d)

$y=-3x-8$

63.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

$y=2x\ -3$

b)

$y=2x-5$

c)

$y=2x\ +\ 1$

d)

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

64.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

65.

Are the lines parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

66.

What is the Domain?

a)

{-3, -1, 1, 3, 5, 7, 9}

b)

{-3, -2, -1, 0, 1, 2, 3}

c)

-3 ≤ x ≤ 3

d)

-3 ≤ x ≤ 9

67.

What is the domain?

a)

{-4, -1, 0, 2, 7}

b)

{-5, -4, -1, 0, 1, 2, 4, 7}

c)

{-5, 0, 1, 2, 4}

d)

{5}

68.

What is the Domain?

a)

-3 ≤ x < 5

b)

-3 ≤ y < 5

c)

-8 ≤ x < 5

d)

-8 ≤ y < 5

69.

The student council set its members on four field trips during the school year. The number of buses needed to transport the members on each trip is a function of the number of members who went on the trip. This function consists of only the ordered pairs (52, 3), (72, 4), (86, 5), and (105, 6). What is the domain for this situation?

a)

{52, 105}

b)

{3, 4, 5, 6}

c)

{52, 72, 86, 105}

d)

{3, 4, 5, 52, 72, 86, 105}

70.

The amount of money that Li spends on video games depends on how many games he purchases. If Li has at most $90 to spend on games for his Xbox 360 and the games cost $22.50 each, what is the domain of this function?

a)

{0 ≤ x ≤ 90}

b)

{0 ≤ x ≤ 4}

c)

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

d)

{0, 1, 2, 3, 4}

71.

Find the Domain.

a)

All real numbers

b)

x > 3

c)

x > 0

d)

x ≥ 0

72.

What is the Domain?

a)

-10 ≤ y ≤ 6

b)

y ≤ 6

c)

-10 ≤ x ≤ 6

d)

All Real Numbers

73.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

74.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

75.

What is the range?

a)

x≥0

b)

y≥0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

76.

What is the range?

a)

-7≤x≤6

b)

-7<x<6

c)

-8<y<2

d)

-8≤y≤2

77.

To celebrate the holiday season this year, Six Flags has created an extreme six-lane, tubing hill with real snow called the “Superman’s Awesome SNOW Tubing Ride.” The cost of each ticket for one day is $35. The number of tickets purchased by groups is given by the domain {3, 8, 12}. Which would be a reasonable range for the total cost of the tickets the groups would pay?

a)

{3,8,12}

b)

{105,280,420}

c)

{3,8,12,105,280,420}

d)

{38,43,51}

78.

What is the range of the following function, if the domain is {1,7,10}?
f(x) = x + 4

a)

{-3,3,6}

b)

{1,7,10}

c)

{5,11,14}

d)

{4,28,40}

79.

Amy deposits $200 in the bank for 5 years. She earns 5% interest. How much did she make in interest?

a)

$10

b)

$60

c)

$50

d)

$500

80.

Howard borrowed $4,000 from the bank at an interest rate of 8%. He has to pay it back in 2 years. How much interest will he pay?

a)

$640

b)

$64

c)

$74

d)

$460

81.

Sarah has $45,000 in student loans. if there is a 6% interest rate, how much will she pay back in interest over 10 years?

a)

$27,000

b)

$72,000

c)

$270,000

d)

$315,000

82.

Calculate the interest earned on a $4,500 savings account that earns 2.5% simple interest over three years.

a)

$338.00

b)

$33.80

c)

$33.75

d)

$337.50

83.

Maria borrowed $3,000 at a simple interest rate of 4% per year. How much did she have to repay after 4 years?

a)

$480

b)

$3,480

c)

$4,800

d)

$7,800

84.

A plumber charges $50 for a house call plus $12 per hour for labor. The linear function P(x) represents the cost of the plumber for x hours.

P(x) = 50 + 12x

Find P(4)

a)

$86

b)

$98

c)

$110

d)

$74

85.

The Roaming Cell Phone Company charges $15.00 per month plus $2 per minute of airtime usage. The linear function C(x) represents the cost for x minutes of airtime usage.

C(x) = 2x +15

Solve C(x) = 23

a)

4 minutes

b)

3 minutes

c)

2 minutes

d)

5 minutes

86.

Describe the transformation that occurred

p(x) = f(x + 3)

a)

Right 3 units

b)

Vertical Stretch

c)

Up 3 units

d)

Left 3 units

87.

Describe the transformation that occurred.

h(x) = f(x) + 2

a)

up 2 units

b)

left 2 units

c)

Vertical Stretch

d)

right 2 units

88.

Describe the transformation that occurred.

w(x) = f(x - 7)

a)

Down 7

b)

up 7

c)

right 7

d)

vertical compression

89.

Describe the transformation that occurred

m(x) = f(x + 1)

a)

left 1

b)

right 1

c)

vertical stretch

d)

up 1

90.

Describe the transformation that occurred

k(x) = f(x) - 9

a)

vertical compression

b)

down 9

c)

left 9

d)

right 9

91.

Describe the transformation that occurred

t(x) = f(x) - 1

a)

right 1

b)

down 1

c)

vertical compression

d)

vertical stretch

92.

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

a)

Left 3 up 5

b)

Right 3 down 5

c)

Left 3 down 5

d)

Right 3 up 5

93.

Which of the following transformations are present?
f(3x - 1) + 2

a)

Stretch

b)

Compression

c)

Neither

94.

What type of function is shown?

a)

linear

b)

quadratic

c)

square root

d)

absolute value

95.

Describe the transformation that occurred

g(x) =2f(x)

a)

Up 2 units

b)

vertical compression

c)

vertical stretch

d)

Right 2 Units

96.

Describe the transformation that occurred

h(x) = 1/5f(x)

a)

Up 5 Units

b)

vertical compression

c)

vertical stretch

d)

Down 5 Units

97.

Describe the transformation that occurred

s(x) = 7f(x)

a)

vertical compression

b)

Up 7 Units

c)

Over 7 Units

d)

vertical stretch

98.

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

99.

What type of shape is an absolute value function?

a)

Line

b)

V

c)

U

d)

Z

100.

Determine the transformation

a)

Left 5, up 1

b)

Left 5, down 1

c)

Right 5, up 1

d)

Right 5, down 1

101.

Determine the transformation

a)

down 2

b)

flip, down 2

c)

flip, left 2

d)

left 2

102.

.
The blue graphs is the parent function f(x)=|x|, the red must be

a)

g(x)=|x+2|

b)

g(x)=|x|+2

c)

g(x)=|x-2|

d)

g(x)=|x|-2

103.

What is the equation of the graph below?

a)

f(x) = I x + 2 I

b)

f(x) = I x + 2 I +2

c)

f(x) = I x - 2 I +2

d)

f(x) = I x - 2 I

104.

What shifts have occurred?

a)

left 1, up 5

b)

left 1, down 5

c)

right 1, down 5

d)

right 1, up 5

105.

If x=5,find the value of 7x-1

a)

34

b)

36

c)

35

106.

If y=7,find the value of 2(y+4)

a)

11

b)

22

c)

20

107.

Solve the system of equations using substitution:
-4x + 4y = 8
y = -2x - 10

a)

(-4, -2)

b)

(12, -34)

c)

(4, -18)

d)

(-2, -6)

108.

How many solutions will this system have?

a)

One Solution

b)

No Solution

c)

Infinite Number of Solutions

109.

What is the solution?

4 lines

110.

What is the solution to the following system of equations?

a)

(0,3)

b)

(-3, 1)

c)

(1, 3)

d)

Infinitely Many Solutions

e)

No Solution

111.

What is the solutions to the following system of equations?

a)

(0, 3)

b)

(0, -1)

c)

(-1, 2)

d)

Infinity Many Solutions

e)

No Solution

112.

Solve the following system by using elimination:

3x - 5y = 8

2x + 5y = -3

a)

(1, 5)

b)

(1, -1)

c)

(-1, -1)

113.

Solve the following system by using elimination:

-2x - 5y = -15

x + 8y = 13

a)

(5, 1)

b)

(1, 5)

c)

(5, -1)

114.

Solve the following system by using elimination:

-3x - 6y = -30

-7x + 8y = -4

a)

(4, 3)

b)

(3, 4)

c)

(4, -3)

115.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

116.

Select the graph for y ≥ -3.

a)

A

b)

B

c)

C

d)

D

117.

Select the graph for 5x+ y ≤ -1 .

a)

A

b)

B

c)

C

d)

D

118.

Which of the following equations match the given graph?

a)

y < 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y ≤ 2/5x + 1

d)

y ≥ -2/5x - 1

119.

Choose the correct inequality for this graph.

a)

b)

c)

d)

120.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

121.

a)

y < -2/5x - 4

b)

y > -2/5x - 4

c)

y ≤ -2/5x - 4

d)

y ≥ -2/5x - 4

122.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

123.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

124.

Match the system to the graph (solution set is on the left)

a)

y ≤ 3x and y ≤ -2x + 4

b)

y > 3x and y > -2x + 4

c)

y < 3x and y > -2x + 3

d)

y > 3x and y < -2x + 4

125.

Which of the following is not a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

126.

Will my line be solid?
5 ≥ x

a)

Yes

b)

No

127.

Is (0,0) a solution to the system?

a)

Solution

b)

Not a solution

128.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

129.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

130.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

Algebra 1 Midterm Review

Total questions: 130

Worksheet time: 11hrs 50mins

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