Free Printable Algebra 1 Fall Midterm Review 2023

1.

What is a variable?

a)

a letter

b)

the number before the letter

c)

a plain number

d)

the answer

2.

What is a coefficient?

a)

the letter

b)

the number attached to the letter

c)

the plain number

d)

the answer

3.

Which is the coefficient in 6x + 12?

a)

6

b)

6x

c)

12

d)

36

4.

In 6x + 12, which is the constant?

a)

6

b)

6x

c)

12

d)

36

5.

Solve for the equation.

a)

x = -5

b)

x = 7

c)

x = -6

d)

x = 8

6.

6 ( 2n + 5 ) = 66

a)

3

b)

5

c)

8

d)

432

7.

For which equation is x = -5 a solution?

a)

n - 5 = -10

b)

-5 - n = -10

c)

n - 8 = -12

d)

-8 - n = -12

8.

Solve the equation.

a)

x = 21

b)

x = 27

c)

x = 36

d)

x = 2.25

9.

3(x - 1) = 2x + 9

a)

Infinite Solutions

b)

No Solution

c)

x = 12

d)

x = -3

10.

Solve: 5x + 15 = 10x - 40

a)

x = 10

b)

x = -10

c)

x = 11

d)

x = -11

11.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

12.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

13.

Solve the proportion

a)

x = -1/4

b)

x = 1/4

c)

x = -3/4

d)

x = 3/4

14.

Solve the proportion.

a)

20

b)

7

c)

22

d)

11

15.

Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

16.

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

a)

base, product

b)

exponent, base

c)

base, exponent

d)

product, base

17.

How many terms are there?

$2a+3b-6$

(a)

18.

Simplify $3m\ +\ 5m$

a)

$8m$

b)

$8m^2$

c)

$15m$

d)

$15m^2$

19.

Term

a)

A single number or variable, or numbers and variables multiplied together

b)

A number that is being multiplied or divided by a variable.

c)

A number by itself and not part of a term; not being multiplied or divided by anything. Includes numbers like pi and e.

d)

A mathematical statement that includes one or more terms, but no =. For example, x+3.

20.

Translate the words into Algebra: 5 more than a number equals 2.

a)

5n = 2

b)

n + 5 = 2

c)

n - 5 = 2

d)

5/n = 2

21.

S = 3F - 24 Solve for F

a)

F = (S + 24)/3

b)

F = S/3 + 24

c)

F = 3S + 24

d)

F = 3(S + 24)

22.

$Given\ mx+4y=3t,\ solve\ for\ x.$

a)

$x=\ \frac{3t+4y}{m}$

b)

$x=\frac{3t-4y}{m}$

c)

$x=\frac{3m-4y}{t}$

d)

$x=\frac{3y+4t}{m}$

23.

| 2x + 9 | = 15

a)

x = 3

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

24.

Solve |2x –3| + 5 =10.

a)

-1, 1

b)

-1, 4

c)

-1, -4

d)

1, 4

25.

Simplify and solve for x in, $\frac{2}{3}\left(3-6x\right)=-3\left(8x-4\right)\$

a)

$-\frac{1}{2}$

b)

2

c)

-2

d)

$\frac{1}{2}$

26.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

27.

-2x + 7 < 19

a)

x < 6

b)

x < -6

c)

x > 6

d)

x > -6

28.

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

29.

Solve and graph.
k - 13 > -51

a)

A

b)

B

c)

C

d)

D

30.

Solve the inequality.

$2\left(b\ -\ 8\right)\ >\ 12$

a)

b > 20

b)

b > 6

c)

b > 14

d)

b > 20

31.

4x - 3 < -1x + 12

a)

x > 3

b)

x < 3

c)

x < 5

d)

x > 5

32.

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

33.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

34.

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

35.

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

36.

Look at the picture. Which number line corresponds to [-2, 5]?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

37.

$\left|2x-3\right|-10=-5$

a)

x= -4 x= 1

b)

x= 4 x= -1

c)

x= -1 x= 9

d)

x= -9 x=1

38.

$6\left|10-2x\right|=12$

a)

x= -4 x= -6

b)

x= 4 x= -6

c)

x= -4 x= 6

d)

x=4 x=6

39.

Solve the following inequality:

| 2w − 1 | < 11

a)

No Solution

b)

All Real Numbers

c)

−5 < w < 6

d)

−6 < w < 5

40.

$2\left(n+2\right)=4n+1-2n$

a)

-1

b)

No Solution

c)

3

d)

Infinite Solutions

41.

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

a)

0

b)

No Solution

c)

5

d)

Infinite Solutions

42.

Your have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 50 dollars give or take 15. What is the range of dollar amounts that could be in your wallet?

a)

$15 - $50

b)

$35 - $65

c)

$15

d)

$50

43.

John is looking for a job after graduation. The salary which he is satisfied with must be $3000 with a tolerance of $500. Choose the salary John would accept.

a)

$3,478

b)

$3,792

c)

$2,489

d)

$2,256

44.

6x + 2 + 6x < 14

a)

x < 1

b)

x > 1

c)

x < -1

d)

x > -1

45.

Solve the inequality

a)

x ≤ -17

b)

x ≤ -11

c)

x ≤ 7

d)

x ≤ -35

46.

Reduce the following fraction:
16/20 =

a)

8/10

b)

4/5

c)

1/2

d)

16/20

47.

Solve the inequality.

$\frac{2}{3}\left(6b\ -9\right)\ =\ -34$

a)

b = 7

b)

b = -7

c)

b = -3

d)

b = 3

48.

How would you write y = 2x - 3 in function notation?

a)

y = 2x-3

b)

f = 2x - 3

c)

f(x) = 2x-3

49.

f(x) is a different way to represent ______.

a)

y

b)

x

c)

input

d)

Fred X

50.

What is f(6) for the function f(x)=3x-8

a)

-8

b)

10

c)

-144

d)

answer not here

51.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

52.

a)

No correlation

b)

Positive correlation

c)

Negative correlation

53.

a)

Positive correlation

b)

No correlation

c)

Negative correlation

54.

a)

Positive correlation

b)

Negative correlation

c)

No correlation

55.

Pick the description that fits the graph.

a)

A car is traveling at a consistent speed and then stops.

b)

A car is stopped and then accelerates.

c)

A car is traveling at a consistent speed and the slows down.

d)

A car is traveling at a consistent speed and the accelerates.

56.

Pick the description that fits the graph.

a)

A car starts out at a consistent speed, and abruptly stop to get gas, then gradually increases.

b)

A car starts out at a consistent speed, and abruptly stop to get gas, then gradually increases until reaching a given speed.

c)

A car starts out at a consistent speed, and slows down to a stop to get gas, then gradually increases until reaching a given speed.

d)

A car starts out at a consistent speed, and abruptly stop to get gas, then gradually decreases.

57.

When is the graph increasing?

a)

4am - 4pm

b)

4am - 12pm

c)

12pm - 4pm

d)

4pm - 8pm

58.

When is the graph decreasing?

a)

40 - 60

b)

0-10

c)

10-40

59.

How many minutes did Justin travel at 6 mph?

a)

20

b)

10

c)

30

d)

0

60.

What is the RANGE of this graph?

a)

-7<x<5

b)

-7≤y<5

c)

-3<x<1

d)

-3≤y<1

61.

What is the range?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

62.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

63.

What is the Range?

a)

y ≥ 6

b)

$y\le6$

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

64.

What is the range of the graph?

a)

(-∞,∞)

b)

[-1,0]

c)

[-1,3]

d)

[3,∞)

65.

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}

66.

What is the range?

a)

[-∞, +∞]

b)

[-2, 2]

c)

(-∞, ∞)

d)

[0, 2]

67.

What variable typically represents the range?

a)

x

b)

y

68.

What variable typically represents the domain?

a)

x

b)

y

69.

What is the domain?

a)

{-6, 14, 2, 28}

b)

{(-6,14), (0,32), (2,38), (4,44)}

c)

{-6, 0, 2, 4}

d)

{14, 32, 38, 44}

70.

What is the range of the mapping?

a)

{1, 2, 4}

b)

{0, 1, 2, 3}

c)

{0, 3}

d)

{1, 4}

71.

Is the relation shown a function?

a)

No, because the x-value 11 is paired with 5 and 8.

b)

Yes, because each x-value has only one y-value paired with it.

72.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

73.

Select all possible solutions to the inequality.

$5\left(x-3\right)>6x+1$

a)

$-16$

b)

$0$

c)

$-20$

d)

$16$

e)

$-40$

74.

Select all possible solutions to the inequality.

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

a)

$-22$

b)

$-25$

c)

$22$

d)

$-50$

e)

$5$

75.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

76.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

77.

Using your Desmos graphing calculator, which of the following functions are non-linear? Select all of the correct answers

a)

$y\ =\ \left|x\ +\ 3\right|\$

b)

y = 3x + 2

c)

x - y = 1

d)

$y\ =\ 5\ -\ x^2$

e)

$y=\frac{1}{x}$

78.

Find the slope

a)

-3/4

b)

4/3

c)

3/4

d)

-4/3

79.

Find the slope

a)

4/5

b)

5/4

c)

-5/4

d)

-4/5

80.

What type of slope?

a)

positive

b)

negative

c)

no slope

d)

undefined

81.

What is the slope a horizontal line?

a)

-1

b)

undefined

c)

1

d)

0

82.

Slope is found by counting
_____ ____ _____.

a)

Rise over Run

b)

Run over Rise

83.

Which could be the graph of the equation y = 1/3x - 2?

a)

b)

c)

d)

84.

Which graph represents y = 3x?

a)

b)

c)

85.

What does the 4 represent in y=4x+3 ?

a)

slope

b)

y-intercept

86.

What does the 3 represent in y=4x+3 ?

a)

slope

b)

y-intercept

87.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

88.

From the equation y = 3x + 18, what is the value of the x-intercept?

a)

-6

b)

6

c)

18

d)

3

89.

$f\left(x\right)=4\left(x-2\right)-6$

What is the value of the zero of the function?

(a)

90.

Where are the x- intercepts?

a)

(0,0) and (0,4)

b)

(0,0) and (4,0)

c)

(0,0)

d)

(0,4)

91.

Which of these represents standard form form?

a)

y - y1 = m(x-x1)

b)

Ax + By = C

c)

y = mx + b

92.

Write the equation in slope-intercept form: 2x + y = 41

a)

x = 2y + 41

b)

y = 2x -41

c)

y = -2x + 41

d)

x = y -39

93.

Write the equation in slope-intercept form: 2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

94.

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

a)

2/11

b)

13/2

c)

3/10

d)

11/2

95.

Find the slope of the line that passes through:
(5, -10) and (5, -4)

a)

undefined

b)

0

c)

- 14/10

d)

10/14

96.

What is the slope of the line represented by $5x\ -\ 12y\ =\ 24$ ?

a)

$-2$

b)

$\frac{24}{5}$

c)

$-12$

d)

$\frac{5}{12}$

97.

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

98.

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -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)

99.

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

a)

y = -3x - 23

b)

y = -3x - 13

c)

y = -3x - 11

d)

y = -3x + 13

100.

Parallel lines have __________ slopes

a)

Same

b)

Opposite

c)

Opposite Reciprocal

d)

Total

101.

The following represents slopes of two lines. Which answer choice describes the two lines?
$m=-\frac{1}{3}$ and $m=-\frac{1}{3}$ .

a)

Parallel

b)

Perpendicular

c)

Neither

102.

What is the slope of a line perpendicular to 5?

(a)

103.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

104.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

y = -1/3x - 5

b)

y = 3x-29

c)

y = 1/3x -5

d)

y = -1/3x +1

105.

Using the Desmos graphing calculator, choose the absolute value equation that matches the graph.

a)

y = |x - 1|

b)

y = |x + 1|

c)

y = |x| - 1

d)

y = |x| + 1

106.

The solution of a system of linear equations is...

a)

the y-intercept (b)

b)

the intersection of the two equations on a graph

c)

the second equations' answers

d)

the slope (m)

107.

Which of the following are ways to solve systems of equations?

a)

Graphing

b)

Substitution

c)

Elimination

d)

All of the above

108.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

109.

What is the value of the x-coordinate to the solution to this system of linear equations?

2x + 3y = 15 and -x + 3y = 3

a)

3

b)

-3

c)

6

d)

4

110.

solve by substitution: y=3x+14
y=-4x

a)

y=8

b)

y=1

c)

y= - 2

d)

y=-8

111.

What is the solution to this system of equations?

a)

(4, -1)

b)

(-1, 4)

c)

(-4, 1)

d)

(-4, -1)

112.

When both lines in a system are identical, the system has __________________.

a)

infinite solutions

b)

one solution

c)

no solution

d)

parallel solutions

113.

Solve the system given:
3x - y = 7
2x + y = 3

a)

(-1,2)

b)

(5,4)

c)

(4,5)

d)

(2,-1)

114.

Which is not the independent variable of a function?

a)

f(x)

b)

input

c)

domain

d)

x-values

115.

Is (3, 1) a solution to the linear equation 4x + 3y = 12?

a)

Yes

b)

No

116.

Is (5, 5) a solution to the linear equation x + y = 12?

a)

Yes

b)

No

117.

Select all of the points that are solutions to the linear equation 5x + 8y = 40.

a)

(8, 0)

b)

(4, 2)

c)

(0,5)

d)

(1, 6)

118.

Write the system of inequalities for the given graph?

a)

$x>-2$

$y\le-4$

b)

$x>2$

$y>4$

c)

$x\ge2$

$y\le4$

d)

$x>2$

$y\le-4$

119.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

120.

Choose the correct inequality for this graph.

a)

b)

c)

d)

121.

Graph the following system of equations on your whiteboard, select all points that would be considered solutions based on the graph.

$x\le-4$

$y>6$

a)

(-5, 3)

b)

(-4, 6)

c)

(-6, 6)

d)

(-4, 8)

e)

(-8, 8)

122.

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

a)

TRUE

b)

FALSE

123.

Which point below is NOT a part of the solution set?

a)

(0, 0)

b)

(0, 1)

c)

(-100, -3)

d)

(5, 10)

124.

This graph represents the inequality y < 3, TRUE or FALSE?

a)

TRUE

b)

FALSE

125.

The given graph represents the inequality x < -1, TRUE or FALSE?

a)

TRUE

b)

FALSE

126.

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

a)

(0, 0)

b)

(-3, 0)

c)

(2, -5)

d)

(3, -1)

127.

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)

128.

Find the missing variable in (x, 6) and (-12, -6) when m = 4/3

a)

-7

b)

-3

c)

3

d)

7

Algebra 1 Fall Midterm Review 2023

Total questions: 128

Worksheet time: 5hrs 25mins

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