Free Printable Fall 2025 Semester Exam Review (Alg 1)

1.

What is the mean of these numbers?
4,5,5,2,3,3,2,8

a)

40

b)

24

c)

4

d)

256

2.

Find the median:
3, 5, 7, 4, 3, 1

a)

3 and 4

b)

There isn't one

c)

3.5

d)

3

3.

What is the mean for these numbers?
5,5,5,5

a)

5

b)

20

c)

15

d)

100

4.

To find the average of a set of numbers, add up all the items and divide by...

a)

2

b)

The minimum

c)

The maximum

d)

The number of items

5.

What is the definition of the mean?

a)

The average

b)

The middle number

c)

The difference between the highest and lowest numbers

d)

The number that occurs the most

6.

In order to find the median, the data must be sorted from least to greatest first.

a)

True

b)

False

7.

What is the median test score on the 6TH Grade Math Test?

a)

78

b)

85

c)

93

d)

97

8.

What is the the first quartile for the data on the 6TH Grade Math Test?

a)

68

b)

78

c)

85

d)

93

9.

What is the the third quartile for the data on the 6TH Grade Math Test?

a)

68

b)

78

c)

85

d)

93

10.

What is the maximum score on the 6TH Grade Math Test?

a)

78

b)

85

c)

93

d)

97

11.

What is the median on this box pot?

a)

52

b)

54

c)

56

d)

63

12.

What is the minimum value on this box plot?

a)

52

b)

54

c)

56

d)

63

13.

4. Which of the following lists all the five numbers needed to make a box plot?

a)

Mean, Median, Mode, Range, and Total

b)

Minimum, Quartile 1, Median, Quartile 3, and Maximum

c)

Smallest, Q1, Q2, Q3, and Q4

d)

Minimum, Maximum, Range, Mean, and Median

14.

In order to find the median, the very first thing you must do is to..

a)

find the difference between biggest and the smallest number.

b)

find the middle number

c)

list the numbers in order

d)

find the most repeated number

15.

Which box and whisker plot has the highest median?

a)

Top plot

b)

Bottom plot

16.

Which box and whisker plot shows more "spread out" data?

a)

Top plot

b)

Bottom plot

17.

6. Which city has a higher median?

a)

Millersburg

b)

Arcadia

18.

Which family on average is shorter?

a)

Maggie's

b)

Lexi's

19.

Which restaurant has a higher median wait time?

a)

Lucy's Steakhouse

b)

Gary's Grill

c)

They are the same

20.

How do you calculate the IQR?

a)

Q2 - Q1

b)

Q1 - Q3

c)

Q3 - Q2

d)

Q3 - Q1

21.

What is the RANGE of the following data set?

4, 5, 6, 8, 9, 10, 11

a)

5

b)

6

c)

7

d)

8

22.

What is the interquartile range of these scores?

a)

50

b)

70

c)

40

d)

30

23.

What is the range of homework assignments for class 2?

(a)

24.

What is the IQR for class 1?

(a)

25.

What amount of cupcakes makes up the middle 50% of the data?

a)

16-22 cupcakes

b)

12-32 cupcakes

c)

22-28 cupcakes

d)

16-28 cupcakes

26.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

27.

Describe the correlation in the graph shown.

a)

A) Strong Negative

b)

B) Strong Positive

c)

C) Weak Negative

d)

D) No Correlation

28.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = -0.9

b)

B) r = 1

c)

C) r = 0.9

d)

D) r = -1

29.

What type of correlation does this graph show?

a)

A) Positive

b)

B) negative

c)

C) none

d)

D) all of the above

30.

Correlation coefficient is the statistic that measures the strength and direction of a linear association between two quantitative variables.

a)

True

b)

False

31.

What is the range of values that r can be between?

a)

Only negative values

b)

Only positive values

c)

Between -1 and 1

32.

If r=0, there is a strong correlation.

a)

True

b)

False

33.

Which of the following statements is true?

a)

The correlation coefficient and the slope of the regression line may have opposite signs.

b)

A correlation of 1 indicates a strong relationship between the variables.

c)

Correlations of +0.87 and -0.87 indicate the same degree of clustering around the regression line.

d)

A correlation of 0 shows little or no association between two variables.

34.

r = -0.3 is considered to have...

a)

moderate negative correlation

b)

weak negative correlation

c)

no correlation

d)

strong negative correlation

35.

Which example shows CORRELATION? (The events show correlation, but one thing does NOT cause the other thing to happen.)

a)

I put water in the freezer and now I have ice.

b)

The alarm clock went off and I woke up.

c)

Temperature and the amount of people at the beach.

36.

Which example shows CAUSATION? (Which one CAUSED the other to happen.)

a)

Being happy and being a better student.

b)

An insect ate poison and it died.

37.

Which example shows CAUSATION? (Which one CAUSED the other to happen.)

a)

Rainfall and time spent reading.

b)

Eating more butter and increased divorce rates.

c)

It started raining and the baseball game was delayed.

38.

If one factor is responsible for change in another factor then it means there is causation.

True or False

a)

True

b)

False

39.

Which one of these examples is NOT an example of CAUSATION?

a)

Kryptonite causes Superman to lose all his powers.

b)

Temperatures of less than 32˚F cause water to freeze.

c)

Umbrellas cause rainstorms.

d)

Stepping on the gas pedal causes a car to move faster.

40.

Correlation or Causation: the number of bus stops increases, the number of car sales decreases?

a)

Correlation

b)

Causation

41.

Correlation or Causation: the speed you drive and the amount of fuel you use?

a)

Correlation

b)

Causation

42.

Correlation or Causation: when it rains several inches, the water level of a lake increases?

a)

Correlation

b)

Causation

43.

Correlation or Causation: when ice cream sales increase, incidents of sunburn increase?

a)

Correlation

b)

Causation

44.

Correlation or Causation: when the amount of sugar in a quart of apple juice is reduced, there are fewer calories in each serving?

a)

Correlation

b)

Causation

45.

when there is more protein in an athlete's diet, the athlete scores more points in a game

a)

Correlation

b)

Causation

46.

What percentage of males drive sports cars?

a)

35%

b)

16.25%

c)

65%

d)

25%

47.

What percentage of the days that it rained, did they forecast no rain?

a)

About 20%

b)

About 18%

c)

About 14%

d)

About 12%

48.

What percentage of the students were boys?

a)

20%

b)

25%

c)

40%

d)

50%

49.

Identify the joint relative frequency of boys that have blond hair.

a)

.4

b)

0.1

c)

0.44

d)

0.2

50.

How many females were surveyed?

a)

10

b)

16

c)

26

d)

14

51.

What number should go in the blue box?

a)

21

b)

135

c)

19

d)

22

52.

How many total people were surveyed?

a)

78

b)

22

c)

70

d)

100

53.

Out of those surveyed, what is the probability that the student is a boy who can't bike to school?

a)

4/30

b)

7/30

c)

4/11

d)

14/30

54.

The table shows the different types of engineers and the subject they liked most. What percentage of people surveyed were chemical engineers who preferred math?

a)

16.5%

b)

33.1%

c)

17.6%

d)

15.5%

55.

Out of the males surveyed, what percentage drive sports car?

a)

35%

b)

16.25%

c)

65%

d)

25%

56.

What is the relative frequency for selecting a teen given that the person likes chocolate?

a)

.112

b)

.267

c)

.164

d)

.056

57.

Given the person is a child, what is the relative frequency that they would pick neither?

a)

.26

b)

.195

c)

.286

d)

.214

58.

Given that the person would choose neither, what is the probability they are an adult?

a)

.26

b)

.037

c)

.084

d)

.143

59.

Given the person is a child, what is the probability they would pick neither?

a)

.26

b)

.195

c)

.286

d)

.214

60.

6z + 3 -4z = 9

a)

z = 3

b)

z = 60

c)

z = 30

d)

z = 1

61.

Solve for k:
3k + 5 = 23

a)

k = 4

b)

k = 5

c)

k = 6

d)

k = 7

62.

-72 = 6(n + -2)

a)

10

b)

35/3

c)

-10

d)

other

63.

5b + 3(b + -5) = 1

a)

$\frac{3}{4}$

b)

$\frac{-3}{4}$

c)

2

d)

$-\frac{7}{4}$

64.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

65.

3(x-5)-x=1

a)

x = 4

b)

x = 8

c)

x = 3

d)

x = 2

66.

$4+\frac{k}{2}=-3$

a)

14

b)

-14

c)

4

d)

-2

67.

7(1 - y) = -3(y - 2)

a)

x = 1/4

b)

x = 4

c)

x = 5

68.

Solve

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

69.

Solve the equation, if possible.
$2a-6\left(a-4\right)=\ -4$

a)

7

b)

identity

c)

0

d)

-5

70.

Is (1, 2) a solution to the linear equation 2x + 5y = 12?

a)

Yes

b)

No

71.

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

a)

Yes

b)

No

72.

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

a)

Yes

b)

No

73.

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)

74.

Select all of the points that are solutions to the equation x + 4y = 20.

a)

(10, 2.5)

b)

(0, 5)

c)

(2, 10)

d)

(5, 3)

75.

Select all of the points that are solutions to the linear equation 2x + 9y = 54

a)

(9, 12)

b)

(6, 0)

c)

(0, 6)

d)

(9, 4)

76.

Given the equation 3x + y = 5 and x =1, what is the value of y?

a)

1

b)

2

c)

3

d)

4

77.

Solve for a.

a)

$a\ =\ pw$

b)

$a\ =\ \frac{p}{w}$

c)

$a\ =\ \frac{w}{p}$

d)

$a\ =\ w+p$

78.

Solve:
y = mx + b , for b

a)

$y-mx=b$

b)

$y+mx=b$

c)

$\frac{y}{mx}=b$

d)

$y+mx=-b$

79.

Solve for n:
2m - n = 8

a)

n = 2m - 8

b)

n = -2m - 8

c)

n = 2m + 8

d)

n = -2m + 8

80.

Solve for m:
6 = -3k - m

a)

m = 3k + 6

b)

m = -3k + 6

c)

m = 3k - 6

d)

m = -3k - 6

81.

Solve for x:
2x - 8 = 4y

a)

x = 2y + 4

b)

x = 2y - 4

c)

x = y + 4

d)

x = 4y + 2

82.

Solve for s
-2 = 4r + s

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

83.

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)

84.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

(0, -1.5)

85.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

86.

What is the solution to this system of equations?

a)

(4, -1)

b)

(-1, 4)

c)

(-4, 1)

d)

(-4, -1)

87.

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

a)

(-1,2)

b)

(5,4)

c)

(4,5)

d)

(2,-1)

88.

Solve the following system of equations:

$\ 6x+y=5$

$-2x+y=5$

a)

(-3, -6)

b)

(-6, 3)

c)

(0, 5)

d)

(-3, 5)

89.

Solve the following system of equations:

$y=-3x+11$
$5x+y=21$

a)

(1, -5)

b)

(1, 5)

c)

(-4, 5)

d)

(5, -4)

90.

Give the solution to the system.

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

(1, -3)

91.

Solve the following system of equations by substitution:

$3x+y=1$
$y=4x+1$

a)

(0, -1)

b)

No Solution

c)

(0, 8)

d)

(0, 1)

92.

Solve the following system of equations by elimination:
$4x+9y=28$
$-4x-y=-28$

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

93.

Solve the following system by graphing. What is the solution?

a)

Infinity

b)

(3, 3)

c)

(3, -3)

d)

(-3, 3)

94.

Solve the following system by graphing. What is the solution?

a)

(3, -2)

b)

(3, -3)

c)

(-3, 2)

d)

(-3, -2)

95.

Solve the following system of equations:
$3x+2y=16$
$y=-7x+19$

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

96.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

a)

4x + 6y = 3
13.5x - 13y = 6

b)

x + y = 4
x - y = 6

c)

4x + 6y = 13
3x + 7y = 13.5

d)

4x - 6y = 13
3x - 7y = 13.5

97.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

a)

S + A = 530
3S + 4A = 1740

b)

S + A = 530
4S + 3A = 1740

c)

S + A = 1740
3S + 4A = 530

d)

S + A = 1740
4S + 3A = 530

98.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

a)

(35, 52)

b)

(18, 69)

c)

( 52, 35)

d)

(61, 26)

99.

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

a)

y = 6.80 + .65x
y=7.30+.90x

b)

x + y = 6.80
x + y = 7.30

c)

y = 6.80+.90x
y = 7.30 + .65x

d)

y + .90x = 6.80
y + .65x = 7.30

100.

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

a)

y = 9.65 + x
y = 8.40 + x

b)

y = 9.65x + 43
y = 8.40x + 58

c)

y =9.65x
y = 8.40x

d)

y = 9.65x - 43
y = 8.40x - 58

101.

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total.

To solve, I graphed:

x + y = 21

6x + 4y = 104

I got an intersection point at (10,11). What does that mean in context of the problem?

a)

There are 10 adults and 11 children.

b)

There are 11 adults and 10 children.

c)

The adults are $10 and the children are $11.

d)

There are 104 adults and 21 children.

102.

Solve:

$4\left(x-3\right)<4x+1$

a)

no solution

b)

infinitely many solutions

c)

x < 0

d)

x < 13

103.

a)

x > 1

b)

x ≥ 1

c)

x < 1

d)

x ≤ 1

104.

a)

x < 9

b)

x > 9

c)

x ≥ 9

d)

x ≤ 9

105.

a)

x ≥ 0

b)

x ≤ 0

c)

x > 0

d)

x < 0

106.

Name the solution

a)

x > 2

b)

x < 2

c)

x ≥ 2

d)

x ≤ 2

107.

Which number line shows the solution set to the inequality below? 2x ≤ -6

a)

A

b)

B

c)

C

d)

D

108.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

109.

Solve:

-2n>12

a)

n > -6

b)

n > 6

c)

n < -6

d)

n < 6

110.

Which of the following equations match the given graph?

a)

y ≤ -5/4 x + 3

b)

y ≥ -5/4 x + 3

c)

y < -5/4 x + 3

d)

y > -5/4 x + 3

111.

Select the graph for 5x+ y ≤ -1 .

a)

A

b)

B

c)

C

d)

D

112.

Select the correct graph for each inequality. y≤ -¾x -1

a)

A

b)

B

c)

C

d)

D

113.

a)

y < 5x + 1

b)

y > 5x + 1

c)

y ≤ 5x + 1

d)

y ≥ 5x + 1

114.

Which ordered pair is a solution of the inequality?

y ≥ 4x – 5

a)

(3, 4)

b)

(3, 0)

c)

(2, 1)

d)

(1, 1)

115.

Which of the following is "NOT" a solution for the inequality?

y ≤ 5x - 1

a)

(0, -3)

b)

(5, 24)

c)

(-2, -15)

d)

(1, 7)

116.

Where would you find a solution for

y < -x + 4

a)

In the shaded region above the line.

b)

In the shaded region below the line.

c)

On the line.

d)

On the origin.

117.

Which ordered pair(s) is a solution to the given system?

a)

(5, -5)

b)

(0,0)

c)

(-5, -2)

d)

(3,-3)

118.

Which ordered pair(s) is a solution to the given system?

a)

(5,0)

b)

(1,-3)

c)

(3,3)

d)

(2,1)

119.

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

a)

Solution

b)

Not a solution

120.

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

121.

|2a - 10| = 6

a)

a = 8, a = 5

b)

a = 2

c)

a = 8

d)

a = 8, a = 2

122.

|-2 - 4n| = 34

a)

n = -9, n = 8

b)

n = 9, n = 8

c)

n = -9

d)

n = 8

123.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

124.

|x+7|=12

a)

x = -5, x = 19

b)

x = 5, x = -19

c)

x = 5, x = -5

d)

x = 12, x = -7

125.

|x-3|=40

a)

x = 43, x = -37

b)

x = 43, x = -43

c)

x = -43, x = 37

d)

x = 43

126.

8|-2x + 4| = 96

a)

x = -4, x = 8

b)

x = -4

c)

x = -4, x = -8

d)

x = 4, x = 8

127.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value does not always have to be positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value is talking about distance, distance is always measured by positive numbers.

128.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

129.

|−4 + 5x| = 16

a)

{16/5,12/5}

b)

{4,-5}

c)

{-12/5, 4}

d)

4

130.

| x + 3 | > 8

a)

No Solution

b)

All Real Numbers

c)

x < -11 or x > 5

d)

-5 < x < 11

131.

| x + 3 | ≤ 2

a)

No Solution

b)

All Real Numbers

c)

-5 ≤ x ≤ -1

d)

1 ≤ x ≤ 5

132.

| x + 1 | ≥ 3

a)

No Solution

b)

All Real Numbers

c)

x ≤ -4 or x ≥ 2

d)

-4 ≤ x ≤ 2

133.

| 3x - 9 | < 3

a)

x < - 10 or x > - 2

b)

-10 < x < - 2

c)

x < 2 or x > 4

d)

2 < x < 4

134.

Which graph matches the function:

y = -2|x - 3| + 5

a)

A

b)

B

c)

C

d)

D

135.

a)

b = -5

b)

b = -15

c)

-5 < b < 15

d)

b < -5 OR b > 15

136.

a)

q > 3

b)

q < -13/3

c)

q > 3 OR q < -13/3

d)

-13/3 < q < 3

137.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

138.

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

a)

A

b)

B

c)

C

d)

D

139.

Solve the inequality and graph on a number line:

14 x - 3 ≤ -3 (The red arrows show the graphs.)

a)

A) x ≤ 0

b)

B) x ≤ 2

c)

x > 0

d)

x ≥ -2

140.

What is the equation of this graph?

a)

y=2|x-3|+1

b)

y=2|x-1|+3

c)

y=-2|x+1|+3

d)

y=-2|x-1|+3

141.

f(x)= |x−3|−1

a)

A

b)

B

c)

C

d)

D

142.

What is the equation of the graph below?

a)

f(x) = I x + 2 I

b)

f(x) = I x I + 2

c)

f(x) = I x I - 2

d)

f(x) = I x - 2 I

143.

Which function is graphed?

a)

f(x) = -3|-x - 1| + 4

b)

f(x) = -|x - 1| + 4

c)

f(x) = 5|x - 1| + 4

d)

f(x) = -3|x - 4| + 1

144.

a)

y = Ix + 3I - 1

b)

y = Ix - 3I - 1

c)

y = Ix + 1I + 3

d)

y = Ix - 1I + 3

145.

Which function defines the graph?

a)

f(x) = |x - 4| + 3

b)

f(x) = |x - 3| + 4

c)

f(x) = |-x + 4| + 3

d)

f(x) = |x + 4| + 3

146.

f(x) = −|x+4|

a)

A

b)

B

c)

C

d)

D

Fall 2025 Semester Exam Review (Alg 1)

Total questions: 146

Worksheet time: 11hrs 18mins

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