Algebra 1 EOC Practice Test Questions and Answers

Question 1

Daniel made a box-and-whisker plot of the ages of his cousins.


What is the median age of his cousins?

Accepted Answer

25

Answer

24

Answer

27

Answer

28

Question 2

If the first Now = -9, which equation represents this sequence?
-9, -4, 1, 6, 11, ...

Accepted Answer

Next = Now + 5

Answer

Next = Now − 5

Answer

Next = 5 ∙ Now − 1

Answer

Next = 5 ∙ Now + 1

Question 3

What is the value of the numerical expression below?

Accepted Answer

4

Answer

6

Answer

8

Answer

10

Question 4

The number 18 is 24% of which number?

Accepted Answer

75

Answer

4.32

Answer

133 1/3

Answer

432

Question 5

What is the solution to the equation 3x + 5 = 2(x - 1) + 9?

Accepted Answer

x = 2

Answer

x = 3

Answer

x = 4

Answer

x = 5

Question 6

Aaron listed the ages of all of his family members as shown below.

10, 10, 10, 10, 10, 12, 14, 14, 15, 16, 50, 50, 51, 53, 80

What is the mean age of his family members?

Accepted Answer

27

Answer

10

Answer

14

Answer

70

Question 7

What is the product of the following expression?
2x(x2+x-5)

Accepted Answer

2x3+2x2-10x

Answer

2x3+x-5

Answer

2x3+2x-10

Answer

2x3+4x-5x

Question 8

Given y=x2, how would the graph of y=x2 -2 differ?

Accepted Answer

It shifts 2 units down.

Answer

It shifts 2 units up.

Answer

It shifts 2 units left.

Answer

It shifts 2 units right.

Question 9

A survey was taken asking participants their age and the number of minutes they exercise per week. The results of the survey are shown in the scatterplot below.



The data for people who are 30 to 39 years of age are not displayed. Based on the scatterplot, how many minutes would a 30- to 39-year-old person be expected to exercise?

Accepted Answer

80-100 minutes

Answer

40-60 minutes

Answer

60-80 minutes

Answer

100-120 minutes

Question 10

Beth and Jacob are graphing two equations on a coordinate grid. Beth has graphed the equation y = x2 + 1.



If Jacob graphs y = x2 + 3, where will his graph be in relation to the graph Beth made?

Accepted Answer

2 units up

Answer

3 units up

Answer

2 units to the left

Answer

3 units to the right

Question 11

The graph of y = 2x - 4 is shown below.



If the slope of the line is doubled, the new equation is y = 4x -4. Which of these is a correct comparison?

Accepted Answer

The x-intercept changes, and the y-intercept is the same.

Answer

The x-intercept and y-intercept change.

Answer

The x-intercept and y-intercept stay the same.

Answer

The x-intercept is the same, and the y-intercept changes.

Question 12

Given the following fractions:



Which group below has the fractions in order from least to greatest?

Accepted Answer

3/5, 24/39, 18/29, 12/18, 3/4

Answer

3/4, 3/5, 18/29, 24/39, 12/18

Answer

3/5, 12/18, 24/39, 3/4, 18/29

Answer

3/4, 3/5, 12/18, 18/29, 24/39

Question 13

The following line graph shows the test scores for 10 students on a unit exam.



Which shape most accurately describes these data?

Accepted Answer

a normal or &ldquo;bell&rdquo;-shaped curve

Answer

The data are skewed to the left.

Answer

The data are skewed to the right.

Answer

a bimodal or &ldquo;U&rdquo;-shaped curve

Question 14

The population of a type of bacteria triples every minute. The chart below represents the population of bacteria after t minutes.


 

Which type of function represents the data?

Accepted Answer

exponential

Answer

linear

Answer

quadratic

Answer

absolute value

Question 15

What is the solution to the equation 3x - 7 = 20?

Accepted Answer

x = 9

Answer

x = 5

Answer

x = 7

Answer

x = 27

Question 16

What is the solution to the equation?

Accepted Answer

-27

Answer

-24

Answer

-12

Answer

-9

Question 17

Mary would like to plant grass in her backyard. Her backyard is a rectangle that measures 10 yds by 8 yds. In the middle of her backyard is a circular swimming pool that has a diameter of 5 yds. What is the area to be planted with grass to the nearest tenth of a square yard?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 18

The automobile repair shop uses the following chart to determine the labor costs for each job.

Which function should the automobile repair shop use to determine the labor cost C for a job that takes h hours? Provided that the fixed amount is $15 per hour, and the additional cost is shown in the table.

Accepted Answer

C = 25 + 15(h - 1)

Answer

C = 15h

Answer

C = 15+25(h-1)

Answer

C = 15+10(h-1)

Question 19

The enrollment at High School R has been increasing by 20 students per year. Currently, High School R has 200 students attending. High School T currently has 400 students, but its enrollment is decreasing in size by an average of 30 students per year. If the two schools continue their current enrollment trends over the next few years, how many years will it take the schools to have the same enrollment?

Accepted Answer

4 years

Answer

5 years

Answer

10 years

Answer

20 years

Question 20

What is true about the slope and y-intercept of the two equations below?

4x + 3y = 12

-8x + 6y = 6

Accepted Answer

different slope, different y-intercept

Answer

same slope, same y-intercept

Answer

same slope, different y-intercept

Answer

different slope, same y-intercept

Question 21

Which number line below shows the set of numbers graphed correctly?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 22

A scatterplot is shown on the graph below.


 

Which of these could be a line of best fit?

Accepted Answer

y = 100

Answer

y = x + 100

Answer

y = x &minus; 100

Answer

x = 100

Question 23

Ben bought 8 notebooks for $24.50. Some of the notebooks were $2.50 each, and the others were $3.25 each. If X represents the number of least expensive notebooks, which equation can be used to find the number of least expensive notebooks purchased?

Accepted Answer

$2.50x + $3.25(8 &minus; x) = $24.50

Answer

$5.75(8 &minus; x) = $24.50

Answer

$2.50(x &minus; 8) + $3.25x = $24.50

Answer

$2.50x + $3.25(x &minus; 8) = $24.50

Question 24

The diagram shows the outcomes of flipping a coin and rolling a die.

Which statement regarding the diagram is false?

Accepted Answer

The probability of obtaining &ldquo;H6&rdquo; is 2 out of 12

Answer

There are 12 possible outcomes in the sample space.

Answer

The chance of flipping &ldquo;heads&rdquo; and rolling a &ldquo;5&rdquo; is 1 in 12.

Answer

Flipping &ldquo;tails&rdquo; and rolling a &ldquo;2&rdquo; represents about 8% of the possible outcomes of the sample space.

Question 25

What is the equation of the function represented by this table of values?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Algebra 1 EOC Practice Test Questions and Answers Live Quiz