EOC Algebra 1 Practice Test #2

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 a range of 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.

If the area of the deck region is 24 square units, find the value for

x = 2 units

x = 3 units

x = 4 units

x = 5 units

38 / 40

Find the intersection of the pair of sets.

W = the set of whole numbers
P = the set of nonzero integers

{}

{0}

the set of negative integers

the set of positive integers

39 / 40

The temperature of air in a room that began at 55°F is increasing by 8°F per hour. The following equation represents this situation:

y = 55 + 8x

where x represents the number of hours and y represents the temperature.

Which of the following is a graph of this equation?

40 / 40

Find the value of a. Enter the correct answer into the box.

4x² + ax = 2x(2x + 1)

Your score is

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