Free Printable ALG Midterm Review 2025

1.

Simplify by combining like terms:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

2.

Simplify: 2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

3.

Simplify:

-4\left(4x-7y+5\right)

a)

-16x+28y-20

b)

-8x-28y-20

c)

12xy-20

d)

-16x-28y+20

4.

Simplify d + d + d + d =

a)

d⁴

b)

4d

c)

d4

d)

4 + d

5.

a)

8y+5

b)

3y+3

c)

7y+5

d)

7y+4

6.

Identify the constant in the expression below:

8x+17\ -y

a)

8

b)

17

c)

8 and 17

d)

No constants here

7.

Simplify the expression:

4\left(3+2w\right)-w+2

a)

7w+14

b)

19w+2

c)

21w

d)

w+14

8.

How could you write this expression in words?

\frac{3x}{4}

a)

3 plus x minus 4

b)

3 divided by 4 plus x

c)

3 times x divided by 4

d)

3 times x minus 4

9.

How can you express this expression in words?

-3x-4

a)

negative 3 minus 4

b)

negative 3 times -4

c)

negative 3 times a number, x, minus 4

d)

negative 3 divided by a number, x, minus 4

10.

Simplify:

-\left(8x+12y-z\right)

a)

-8x-12y+z

b)

-20xy +z

c)

-8x-12y -z

d)

-7x-11y

11.

Simplify:

4+3\left(2+m\right)+m

a)

4m+10

b)

8m+14

c)

7m+4

d)

9+2m

12.

Simplify:

3-5\left(x+1\right)-4

a)

-5x-6

b)

-2x-6

c)

2x-2

d)

-5x+4

13.

How can you write the following expression in words?

7+3g\

a)

7 plus 3 times a number, g

b)

10 times a number, g

c)

7 plus 3

d)

7 plus 3 plus a number, g

14.

Who lives in a pineapple under the sea?

a)

Spongebob squarepants

b)

x-4

c)

12(3y-9)

d)

3x+2x-8y

15.

Identify the coefficient in the expression

y+9

a)

9

b)

1

c)

0

d)

9y

16.

Simplify: -2(9-6y)

a)

-18+12y

b)

7-8y

c)

-18-6y

d)

-6y

17.

The result when two or more

numbers are added.

a)

product

b)

difference

c)

sum

d)

add

18.

The parts of an expression that are added or

subtracted.

a)

term

b)

sum

c)

variable

d)

algebraic expression

19.

The result when two or

more numbers are multiplied.

a)

variable

b)

difference

c)

quotient

d)

product

20.

The result when one

number is divided by another.

a)

product

b)

quotient

c)

variable

d)

coefficient

21.

The result when one

number is subtracted from another

a)

variable

b)

sum

c)

difference

d)

factor

22.

An expression that contains at least one

variable.

a)

algebraic expression

b)

coefficient

c)

constant

d)

equation

23.

A value that does not change.

a)

term

b)

solution

c)

variable

d)

constant

24.

Write a linear equation in slope-intercept form give the point and slope. (-6, -11); slope = 1/2

a)

$y+6=\frac{1}{2}\left(x+6\right)$

b)

$x-2y=16$

c)

$y=\frac{1}{2}x-8$

d)

$y=\frac{1}{2}x-11$

25.

Write a line equation in standard form given the point and slope: (3, -8); slope = -3

a)

$3x+y=1$

b)

$y=-3x+9$

c)

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

d)

$y=-3x+1$

26.

Write a line equation in standard form given the point and slope: (3, -8); slope = -3

a)

$3x+y=1$

b)

$y=-3x+9$

c)

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

d)

$y=-3x+1$

27.

Write an equation that includes point (4, 5) and is parallel to

y=\frac{3}{4}x-5

a)

$y=\frac{3}{4}x+2$

b)

$y=-\frac{4}{3}x+2$

c)

$y=\frac{3}{4}x+5$

d)

$y=-\frac{4}{3}x+5$

28.

The aquarium is draining a large fish tank. The pump they are using can drain 24 gallons per hour. After 3 hours, there are 78 gallons left in the tank. Write an equation in slope-intercept form to model the water left in the tank, y, after x hours of draining. How many gallons were originally in the tank?

a)

$y=-24x+78$ ; there was 78 gal in the tank initially

b)

$y=24x-150$ ; there was 150 gal in the tank initially

c)

$y=150x-24$ ; there was 24 gal in the tank initially

d)

$y=-24x+150$ ; there was 150 gal in the tank initially

29.

Bob has $150 in his savings account and saves $40 per month.

a)

y=150 + 40

b)

y=40x + 150

c)

y=150x + 40

30.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

31.

Find the intial value

a)

0

b)

3

c)

4

d)

5

32.

Find the rate of change from the graph

a)

0

b)

undefined

c)

5

d)

-5

33.

Find the rate of change.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

34.

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

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

35.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

36.

What does 'b" represent in y=mx=b

a)

y-intercept

b)

x-intercept

c)

nothing

d)

slope

37.

What is the y-intercept in the equation
y= -2x + 5

a)

-2

b)

3

c)

5

d)

Cannot be Determined

38.

Which number is irrational?

a)

$\sqrt{25}$

b)

$\sqrt{9}$

c)

-34

d)

$\sqrt{2}$

39.

A terminating decimal is what kind of number?

a)

Rational

b)

Irrational

40.

Irrational numbers can be written as a fraction

a)

True

b)

False

41.

What kind of number is

\sqrt{100}

a)

Rational

b)

Irrational

42.

What kind of number is 4.343434343434...

a)

irrational

b)

rational

43.

$5\ +\sqrt{36}\ simplifies\ to$

a)

Rational

b)

Irrational

44.

$6\ \cdot\frac{1}{2}\ simplifies\ to\ a\$

a)

Rational Number

b)

Irrational Number

45.

$\frac{1}{3}\ \cdot\ \sqrt{2}\ simplifies\ to\ a\$

a)

rational number

b)

Irrational Number

46.

Solve:
3x + 7 = -8

a)

5

b)

-5

c)

-12

d)

-18

47.

Solve:
2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

48.

Solve

b=\frac{1}{4}\left(f\ -\ 12\right)\ \ \ \

, for f

a)

f= 4b + 12

b)

f= 4b -12

c)

f= 1/4 b +12

d)

b = 4f + 12

49.

pV = nRT
solve for R

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

50.

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

a)

x = -6

b)

x = 6

c)

x = 3

51.

Solve:
12x - 4y = 20 , for y

a)

y = 3x - 5

b)

y = -3x + 5

c)

y = -3x - 5

d)

y = 3x + 5

52.

The point where the line crosses the y-axis is called the:

a)

origin

b)

x-intercept

c)

y-intercept

d)

slope

53.

Give the y-intercept
3x + y = 5

a)

-3

b)

(0,5)

c)

-5

d)

(0, -3)

54.

What is the equation of the line?

a)

y = -3/4x + 3

b)

y = 4/5x + 3

c)

y = -4/5x + 3

d)

y = -4/5x

55.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

56.

What is the equation of a line that is perpendicular to this line and goes through the given point?
y = 3x + 2 (3, -4)

a)

y = 3x - 2

b)

y = -1/3x - 5

c)

y = 3x - 4

d)

y = -1/3x - 3

57.

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

a)

A

b)

B

c)

C

d)

D

58.

What is the solution to the system?

a)

(-1, 3)

b)

(-3, 1)

c)

(3, -1)

d)

(-3, -1)

59.

What is the number of solutions to the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution

d)

Two Solutions

60.

How many solutions are there in the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution

d)

Two Solutions

61.

What is the solution to the system of equations?

a)

(-1, -3)

b)

(3, 1)

c)

(1, 3)

d)

(-3, -1)

62.

What is the solution to the system of equations?

a)

(2, -2)

b)

(2, 2)

c)

No Solution

d)

(-2, -2)

63.

What is the solution to the system of equations?

a)

(-3, 1)

b)

(1, -3)

c)

(3, -1)

d)

(-1, 3)

64.

What is the solution to the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

(7, -2)

d)

(-5, -5)

65.

- 2k > 18

a)

k is greater than 20

b)

k is less than negative 9

c)

k is greater than negative 9

d)

k is less than 36

66.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

67.

2x - 3 ≥ 4x - 1

a)

x ≤ -1

b)

x ≥ -1

c)

x ≤ 1

d)

x ≥ 1

68.

Translate:

A number increased by 4 is no more than -18.

a)

x + 4 < -18

b)

x + 4 > -18

c)

x + 4 ≤ -18

d)

x + 4 ≥ -18

69.

Translate: 5 times a number is at least 60.

a)

5x < 60

b)

5x > 60

c)

5x ≤ 60

d)

5x ≥ 60

70.

3(x - 3) ≤ 2(x + 2)

a)

x ≤ -5

b)

x ≥ 5

c)

x ≥ 13

d)

x ≤ 13

71.

Translate:

Twice a number is smaller than 42.

a)

2x < 42

b)

2x > 42

c)

2x ≤ 42

d)

2x ≥ 42

72.

Express the following in Interval Notation

-8 ≤ x < 8

a)

[-8, 8]

b)

[-8,8)

c)

(-8, 8]

d)

(-8, 8)

e)

(8, -8]

73.

Write the following in interval notation

-7 ≤ x < 8

a)

(-7, 8)

b)

[-7, 8)

c)

[-7, 8]

d)

(-7, 8]

e)

(8, -7]

74.

Write the following in interval notation
x < 8

a)

(8, ∞)

b)

(8, -∞)

c)

(-∞, 8)

d)

[-∞, 8]

75.

What is the range of the graph?

a)

[-7, 5)

b)

(-3, 1]

c)

[-3, 1)

d)

(-7, 5]

76.

What is the range?

a)

\left(0,\ \infty\right)

b)

$\left[0,\ \infty\right)$

c)

$\left(-\infty,\ \infty\right)$

d)

None of the answer choices

77.

What is the domain?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

78.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

79.

What is the range?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

None of the answer choices

e)

$\left[-3,\ \infty\right)$

80.

What is the domain?

a)

$\left(\infty,-2\right]$

b)

$\left[-2,\ \infty\right)$

c)

[-2,3]

d)

$\left(-\infty,\ -2\right]$

e)

None of the answer choices

81.

Which inequality represents the graph?

a)

x ≤ -2

b)

x + 2y ≤ 6

c)

y ≤ -2x

d)

y < -2

82.

Which inequality represents the graph?

a)

y < x/5 - 3/2

b)

y ≥ -5/2x + 3

c)

2x - 3y < 12

d)

y < -2/3x + 4

83.

Which inequality represents the graph?

a)

x ≥ -2

b)

y > -2x

c)

y ≥ -2

d)

y < -1/2x + 3

84.

Which graph represents the inequality y ≥ -5/2x + 3 ?

a)

b)

c)

d)

85.

Which graph represents the inequality y < -2/3x + 4 ?

a)

b)

c)

d)

86.

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

a)

Solution

b)

Not a solution

87.

Is (-2, 0) a solution to the system?

a)

Solution

b)

Not a solution

88.

^{Which point is a solution to the system of inequalities?}

a)

(-8,2)

b)

(-2,-5)

c)

(0,6)

d)

(4, 3)

89.

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

90.

Match

a)

y < x−2
y < 3

b)

y > -x+2
y > 3

c)

y < -x+2
y < 3

d)

y < -x+2
y > 3

91.

When graphed, the line will be...

5 ≥ x

a)

Solid

b)

Dashed

c)

Zig-Zag

92.

Madelyn has x quarters (each are 25 cents) and y dimes (each are 10 cents). She has no less than 18 coins worth at most $3.60 combined. Write a system of inequalities that represents this scenario.

a)

$0.25x+0.10y<3.60$

$x+y>18$

b)

$0.25x+0.10y\ge3.60$

$x+y\le18$

c)

$0.25x+0.10y\le3.60$

$x+y\ge18$

d)

$0.25x+0.10y=3.60$

$x+y=18$

93.

Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming.

a)

x + y ≥ 25
x + y ≤ 8

b)

100x + 25 y ≤ 100
2x + 8y ≤ 14

c)

x + y ≥ 100
8x + 25y ≤ 14

d)

8x + 25y ≥ 100
x + y ≤ 14

94.

Tyler has no more than $20 in his bank account.

a)

>

b)

<

c)

>

d)

<

95.

There are less than 180 days left of school.

a)

>

b)

>

c)

<

d)

<

96.

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation?

a)

x + y = 6
14.80x + 17y = 91

b)

x + y = 91
14.80x + 17y = 6

c)

x + y = 6
14.80y + 17x = 91

d)

x + y = 91
14.80x+ 17y = 6

97.

Write the system of inequalities
Eiko is drawing caricatures at a fair for 8 hours (480 minutes). She can complete a small drawing in 15 minutes and charges $10 for the drawing. She can complete a larger drawing in 45 minutes and charges $25 for the drawing. Eiko hopes to make at least $200 at the fair.

a)

10x+15y≤480
45x+25y≥250

b)

10x+25y≤200
15x+45y≤480

c)

10x+25y>200
15x+45y<480

d)

10x+25y≥200
15x+45y≤480

98.

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

99.

a)

Function

b)

Not a Function

100.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

101.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

102.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

103.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

104.

Is this table a function or not a function?

a)

Function

b)

Not a Function

105.

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)

106.

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

c)

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

107.

Does the table represent a function?

a)

Yes, there is a repeated x-value.

b)

No, there aren't any repeated y-values.

c)

Yes, there are repeated y-values.

d)

No, there is a repeated x-value.

108.

Find f(0)

a)

6

b)

8

c)

10

d)

12

109.

Find f(2)

a)

8

b)

10

c)

12

d)

14

110.

Find h(-1)

a)

-3

b)

15

c)

4

d)

3

111.

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

a)

-8

b)

10

c)

-144

d)

answer not here

112.

What is $f\left(0\right)$ for the function $f\left(x\right)=2x+3$

a)

2x

b)

-3

c)

3

d)

10

113.

Find f(6)

a)

1

b)

2

c)

3

d)

4

114.

Students recorded the amount of minutes they spend watching TV. Using the box plot shown above, what is the first quartile?

a)

30

b)

24

c)

60

d)

78

115.

What is the interquartile range (IQR)?

a)

4

b)

64

c)

60

d)

8

116.

What data value is the upper quartile (Q3)?

a)

64

b)

62

c)

66

d)

58

117.

What is the minimum value?

a)

62

b)

58

c)

66

d)

60

118.

What is the median of this data?

a)

40

b)

90

c)

100

d)

140

119.

Which car club has the higher median?

a)

Cruisers

b)

Car Hops

c)

They are the same

d)

Not enough information

120.

What percentage of the data is between 90 and 140?

a)

25 %

b)

50%

c)

75%

d)

100%

121.

What percentage of the students were boys?

a)

20%

b)

25%

c)

40%

d)

50%

122.

What percentage of SUV's are driven by women?

a)

56.25%

b)

75%

c)

83.25%

d)

86.5%

123.

What percentage of males drive sports cars?

a)

35%

b)

16.25%

c)

65%

d)

25%

124.

This table shows the number of female and male students in each science class. How many students are taking biology?

a)

18

b)

8

c)

80

d)

26

125.

How many athletes were surveyed in all?

a)

50

b)

150

c)

100

d)

200

126.

What percent of female athletes surveyed play basketball?

a)

16%

b)

52%

c)

23%

d)

31%

ALG Midterm Review 2025

Total questions: 126

Worksheet time: 7hrs 17mins

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