EOC Algebra 1 Practice Test #2

Last Updated on May 23, 2024

EOC Algebra 1 Practice Test #2: Our free EOC (End-of-Course) Algebra 1 Practice Test #2 is a standardized assessment that measures a student’s understanding of Algebra 1 concepts and skills. Typically, an EOC Algebra 1 Practice Test will cover various topics, including linear equations, systems of equations, inequalities, functions, exponents, polynomials, and quadratic equations.

This test consists of multiple-choice questions, short answer questions, and/or problems that require students to show their work. Some questions may require students to analyze and interpret data, while others may require students to apply mathematical reasoning to solve real-world problems.

EOC Algebra 1 Practice Test #2

In addition to assessing a student’s knowledge of Algebra 1, an EOC Algebra 1 exam may also evaluate a student’s ability to use mathematical notation, express mathematical ideas clearly, and communicate mathematical reasoning effectively.

Practice Tests

Algebra EOC Practice Test #2

Algebra EOC Practice Test #2
Total Items: 40
Time Limit: 60 minutes
Score: You can find your test score as a percentage at the end of the test!

1 / 40

Determine whether the pairing is a function. If it is a function, describe the rule that relates the input value to the output value.

The pairing is not a function

The pairing is a function. The rule is “input value multiplied by 2 then add 3.”

The pairing is a function. The rule is “input value multiplied by 3 then add 3.”

The pairing is a function. The rule is “input value plus 3.”

2 / 40

A function, 𝑓, has domain ─10 ≤ 𝑥 ≤ 20 and range ─40 ≤ 𝑓(𝑥) ≤ ─10. Select each statement that must
be false about 𝑓(𝑥).

𝑓(1) = −13
𝑓(−10) = −40

𝑓(1) = 13

𝑓(-9) = 88

𝑓(5) = -40

𝑓(0) = 0

𝑓(-15) = -20

3 / 40

The domain of the function 𝑓(𝑥) = −3𝑥 is restricted to the negative integers. Which values are elements of the range? (select all that apply)

-12

-3

4 / 40

Which statement below is correct for the following set of ordered pairs?

{ ( 0, 1.2), ( 3, 2), (−1.2, 3), ( 4, −2), ( 1, −1.2), ( 1,2, 4) }

The set is a function since each element in the domain has a different element in the range.

The set is a function since each element in the range has a different element in the domain.

The set is a not a function since each element in the domain has a different element in the range.

The set is a not function since each element in the range has a different element in the domain

5 / 40

Which of the following could be a function?

The height of a student in your school related to the shoe size of that student.

The hair length of a student in your school related to the height of that student.

The color of hair of a student in your school related to the age of that student.

The student ID number of a student in your school related to the full name of that student.

6 / 40

Given that 𝑦 is a function of 𝑥, which of the following tables best represents a function?

7 / 40

Let 𝑓 be a function such that 𝑓(𝑥) = 2𝑥 − 4 is defined on the domain 2 ≤ 𝑥 ≤ 6. The range of this function is

−∞ ≤ 𝑦 ≤ ∞

0 ≤ 𝑦 ≤ 8

0 ≤ 𝑦 ≤ ∞

2 ≤ 𝑦 ≤ 6

8 / 40

Collin noticed that various combinations of nickels and dimes could add up to $0.65.

 Let x equal the number of nickels.
 Let y equal the number of dimes.

What is the domain where 𝑦 is a function of 𝑥 and the total value is $0.65?

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

{0, 1, 3, 5, 7, 9, 11, 13}

{1, 3, 5, 7, 9, 11, 13}

9 / 40

incent goes to the gym for 30 minutes every day. He starts a new exercise routine on a Monday and uses a function to model the amount of calories he has used, 𝑓(𝑑), as a function of the number of days, d, he has exercised with the new routine.

Which statement represents a correct interpretation of 𝑓(𝑑)?

𝑓(5) = 150 means Vincent has exercised for a total of 150 minutes after the fifth day of exercising with his new routine

𝑓(10) = 3,500 means Vincent will use 3,500 calories on day 10 of exercising with his new routine.

𝑓(15) = 5,250 means after 15 days of exercising with his new routine, Vincent has used 5,250 calories.

𝑓(30) = 10,500 means the number of calories Vincent has used times 30 is equal to 10,500.

10 / 40

Which equation could best be used to determine the value of 𝑓(3) for the function 𝑓(𝑥) = 2𝑥 + 4?

𝑓(3) = 23 + 4

𝑓(3) = 2(3) + 4

𝑓(3) = 3(2𝑥) + 4

𝑓(3) = 3(3𝑥 + 4)

11 / 40

The number of miles a car can be driven depends on the number of gallons of gas in its tank. The function m = 25g models a situation in which a car gets 25 miles per gallon. If the gas tank holds 20 gallons of gas, which inequality represents its range?

0 ≤ 𝑔 ≤ 20

0 ≤ 𝑚 ≤ 500

𝑚 ≤ 500

𝑔 ≤ 20

12 / 40

In 1997 there were 31 laptop computers at Grove High School. Starting in 1998 the school bought 20 more laptop computers at the end of each year. The equation 𝑇 = 20𝑥 + 31 can be used to determine 𝑇, the total number of laptop computers at the school 𝑥 years after 1997. What was the total number of laptop computers at Grove High School at the end of 2005?

160

171

191

268

13 / 40

The height, ℎ, in feet, of an object thrown upward from a height of 144 feet is a function of time, 𝑡, in seconds. The height can be determined by the function ℎ(𝑡) = −16𝑡² + 128𝑡 + 144 . What is the height of the object at 3 seconds?

144 feet

384 feet

432 feet

672 feet

14 / 40

What is the value of 𝑓(16) − 𝑓(0) when 𝑓(𝑥) = 4𝑥 – 8?

15 / 40

Use the graph to answer the question.

Which equation relates 𝑓(𝑥) with 𝑔(𝑥)?

𝑔(𝑥) = 𝑓(𝑥) + 5

𝑔(𝑥) = 𝑓(𝑥) − 5

𝑔(𝑥) = 𝑓(𝑥 + 5 )

𝑔(𝑥) = 𝑓(𝑥 − 5 )

16 / 40

When the function 𝑓(𝑥) = 𝑥² is multiplied by the value 𝑎, where 𝑎 > 1, the graph of the new function, 𝑔(𝑥) = 𝑎𝑥².

opens upward and is wider

opens upward and is narrower

opens downward and is wider

opens downward and is narrower

17 / 40

Part B The graph of a transformation of the function 𝑓(𝑥) is shown.

Which expression defines the transformation shown?

½ 𝑓(𝑥 + 0) + 0

2𝑓(𝑥 + 0) + 0

½ 𝑓(𝑥 − 1) − 1

2𝑓(𝑥 + 1) − 0

18 / 40

Consider the function 𝑓(𝑥), shown in the 𝑥𝑦 −coordinate plane, as the parent function

Part A The graph of a transformation of the function 𝑓(𝑥) is shown.

Which expression defines the transformation shown?

𝑓(𝑥 + 0) − 1

𝑓(𝑥 + 0) + 1

𝑓(𝑥 − 1) + 0

𝑓(𝑥 + 1) + 0

19 / 40

The figure shows the graphs of the functions 𝑦 = 𝑓(𝑥) and 𝑦 = 𝑔(𝑥). The four indicated points all have integer coordinates.

If 𝑔(𝑥) = 𝑘 · 𝑓(𝑥), what is the value of 𝑘?

Enter your answer in the box.

20 / 40

Factor 16y2 + 12y completely.

y(16y + 12)

2y(8y + 6)

4(4y + 3y)

4y(4y + 3)

21 / 40

Multiply (x + 7)(x − 7).

x² − 49

x² + 14x − 49

2x − 14

x² + 49

22 / 40

Find the x- and y-intercepts.

x-intercept: –10, y-intercept: 5

x-intercept: 5, y-intercept: 10

x-intercept: 10, y-intercept: –5

x-intercept: 10, y-intercept: 5

23 / 40

Find the union and intersection of the pair of sets.

M = {1, 6, 8}; N = {3, 6, 8, 14, 15}

M ∪ N = {1, 3, 6, 8, 14, 15}; M ∩ N = {6}

M ∪ N = {6, 8}; M ∩ N = {1, 3, 6, 8, 14, 15}

M ∪ N = {1, 3, 6, 8, 14, 15}; M ∩ N = {6, 8}

M ∪ N = {1, 3, 6, 8}; M ∩ N = {6, 8}

24 / 40

Mrs. Nelson is buying folding chairs that are on sale for $10. If she has $50, which inequality can be solved to show the number of chairs c she can buy?

10c ≤ 50

10c ≥ 50

10c > 50

10c < 50

25 / 40

Which of the following lines is perpendicular to the line y = −2 ?

x = −2

x = 2

y + 3 = −5(x + 2)

y - 3 = 5(x - 2)

26 / 40

You’ve already earned $48 washing cars and plan to earn $12 for each additional car you wash. Write an equation to represent d, the amount earned in dollars, as a function of c, the number of additional cars you wash.

d = 12c

c = 12d

d = 48 + 12c

c = 48 + 12d

27 / 40

The table compares the gas mileage of a car to the distance the car can travel on one tank of gas. A scatter plot of the data is also shown. For this line of best fit, predict what the gas mileage must be for a car to travel 250 miles.

15 mi/gal

17 mi/gal

19 mi/gal

20 mi/ga

28 / 40

Jeremy is training for a marathon. Part of his training is a “walk/run” session where he runs for x minutes and runs for y minutes for a total distance of 6000 meters. His walking speed is 125 meters per minute. His running speed is 225 meters per minute. This situation can be represented by the following equation:

125x + 225y = 6000

Which of the following represents the slope of the equation?

-(5/9)

-(9/5)

5/9

9/5

29 / 40

At a store, 20 feet of fencing cost $36. At that rate, how much will 15 feet of fencing cost?

$27.00

$29.75

$30.25

$48.00

30 / 40

A manufacturing company is building a rectangular room in their warehouse to store their products. The length of the room is 1 more than 3 times its width. The area of the room is 80 square meters. What are the dimensions of the room?

w = 4 m, l = 20 m

w = 5 m, l = 16 m

w = 5 1/3 m, l = 15 m

w = 8 m, l = 10 m

31 / 40

John is considering accepting one of two sales positions. ABC Company offers a yearly salary of $45, 000. XYZ Company offers a yearly salary of $38, 000 plus a 2% annual commission on sales. For what amount of sales s is the salary at XYZ Company greater than the salary at ABC Company?

s > 7000

s > 35, 000

s > 70, 000

s > 350, 000

32 / 40

Zahra spent $20.50 on 10 party favors for her party. They party favor for each kid was either a puzzle book or a magic trick. The boys each received a puzzle book that cost $1.75 each. The girls each received a magic trick that cost $2.25 each. How many boys and how many girls attended the party?

4 boys and 6 girls

5 boys and 5 girls

6 boys and 4 girls

7 boys and 3 girls

33 / 40

Which equation represents the data in the table?

y = 0.25x − 3

y = x − 3

y = x − 4

y = 4x − 4

34 / 40

Officials in a town use a function, 𝐶, to analyze traffic patterns. 𝐶(𝑛) represents the rate of traffic through an intersection where 𝑛 is the number of observed vehicles in a specified time interval. What would be the most appropriate domain for the function?

{... − 2, −1, 0, 1, 2, 3, ... }

{−2, −1, 0, 1, 2, 3

{0, ½ , 1, 1 1 2 , 2, 2 ½}

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

35 / 40

A family is on vacation in Key West and decides to rent bicycles to tour the island. The rental fee for a bike and helmet is $27.00 per person for each hour. There are four people in the family renting bicycles. Which input/output (I/O) model correctly displays the domain and range of the situation where c, the total cost for the bicycle rental is a function of h, the number of hours the bikes are rented?

I/O Model 1

I/O Model 2

I/O Model 3

I/O Model 4

36 / 40

A local theater sells admission tickets for $9.00 on Thursday nights. At capacity, the theater holds 100 customers. The function 𝑀(𝑛) = 9𝑛 represents the amount of money the theater takes in on Thursday nights, where 𝑛 is the number of customers. What is the domain of 𝑀(𝑛) in this context? Select the correct answer.

all whole numbers

all non-negative rational numbers

all non-negative integers that are multiples of 9

all non-negative integers less than or equal to 100

37 / 40

The city of Plantation plans to build a new community park with a public swimming pool. The diagram below shows the area of the proposed swimming pool and the stone deck that will surround it.