EOC Algebra Practice Test #4

Last Updated on May 23, 2024

EOC Algebra Practice Test #4: Algebra EOC (End-of-Course) Practice Test #4 is a comprehensive test designed to help students assess their understanding and mastery of algebraic concepts and prepare for their upcoming Algebra EOC examination.

This practice test is carefully crafted to closely match the exam’s format, content, and difficulty level. By attempting it, students can identify their strengths and weaknesses, allowing them to focus their revision efforts on areas needing improvement.

EOC Algebra Practice Test #4

Algebra EOC Practice Test #4 contains various question types, such as multiple-choice, fill-in-the-blank, and short-answer questions, designed to evaluate students’ problem-solving and analytical skills.

Practice Tests

Algebra EOC Practice Test #4

Algebra EOC Practice Test #4
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

Roy opened a savings account and made a deposit. Assuming he makes no deductions or additional deposits, his balance can be calculated using the function 𝑓(𝑡) = 850(1.065)^𝑡 where t represents the number of years since the initial deposit. What does the number 850 represent?

the amount of Roy's initial deposit

the amount of interest Roy will earn each year

the number of years it will take for Roy's money to double

the maximum amount of interest Roy can earn with the account

2 / 40

The development budget (𝐶) for a computer game company is described by the equation 𝐶 = $50,000𝑡 + $10,000, where t is the number of years since the company’s creation.

Which statement is true?

Each year development expenses increase by $50,000

Each year development expenses increase by $60,000.

Each year development expenses are $50,000

Each year development expenses are $60,000

3 / 40

Which situation best describes the graph?

8% per year increase in value of a $1,000 deposit over 9 years.

8% per year increase in value of a $500 deposit over 9 years.

8% per year decrease in value of a $1,000 deposit over 9 years.

8% per year decrease in value of a $500 deposit over 9 years.

4 / 40

Given that 𝑦 = 𝑎𝑥 + 𝑏, 𝑥₀ = −2, and 𝑥₁ = 3, what is the difference between the value of 𝑦 corresponding to 𝑥₁ and the value of 𝑦 corresponding to 𝑥₀?

-5a

-a

5 / 40

Christy and Derron set goals for improving their recorded times for the mile. Which statement best describes these goals?

 Christy: Complete each new run in 5 fewer seconds than the previously recorded run.
 Derron: Complete each new run in 5% less time than the previously recorded run.

Christy's goal can be modeled with an exponential function, while Derron's goal can be modeled with a linear function.

Christy's goal can be modeled with a linear function, while Derron's goal can be modeled with an exponential function.

Both goals can be modeled with exponential functions.

Both goals can be modeled with linear functions

6 / 40

Which of the following properties could be used to solve the following equation?

−9p = −108

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Distributive Property

7 / 40

Which equation represents the data in the table?

y = x − 4

y = 2x − 2

y = 2x − 4

y = 4x − 4

8 / 40

Samantha is going shopping for shirts and shorts. Shirts cost $10 and shorts cost $15. Samantha will spend $90. The equation below can be used to find out how many shirts and shorts Samantha can buy, where x is the number of shirts and y is the number of shorts.

10x + 15y = 90

Which of the following graphs shows the graph of this equation?

9 / 40

In the 𝑥𝑦-coordinate plane, the graph of the equation 𝑦 = 3𝑥² − 12𝑥 − 36 has zeros at 𝑥 = a and 𝑥 = 𝑏, where 𝑎 < 𝑏. The graph has a minimum at (𝑐, −48). What are the values of 𝑎, 𝑏, and 𝑐?

𝑎 = 2 , 𝑏 = 4 , 𝑐 = 2

𝑎 = −2, 𝑏 = 6, 𝑐 = 2

𝑎 = −31 𝑏 = 31 𝐶 = 0

𝑎 = 3 , 𝑏 = 6 , 𝑐 = 2

10 / 40

Students in grades 6, 7, and 8 sold a total of 320 concert tickets. Grade 6 students sold x tickets.
Grade 7 students sold s tickets and Grade 8 students sold t tickets.

Use the equation x + s + t = 320 to find x, the number of tickets that were sold by Grade 6 students.

x = 320 − t + s

x = 320 − t − s

x = 320 + t − s

x = s − t − 320

11 / 40

Abbey goes bike riding. The graph represents the distance she rides over time. Which of the following is the best interpretation of the slope of the line segment?

She bike rides 1,000 feet per minute.

It takes her 2 minutes to ride 1,000 feet.

It takes her 1 minute to ride 2,000 feet.

She bike rides 8,000 feet per minute

12 / 40

Simplify:

(3x² − 2x + 1) − (x² − 2x − 3) + (4x² − x + 2)

6x² − x + 6

6x² − 5x + 6

6x² − x

8x² − 5x + 6

13 / 40

40 candidates apply for a unique job. The job has both a height requirement and a weight requirement. The following information is known about the candidates:

21 candidates meet the height requirement;
17 candidates meet the weight requirement;
8 candidates meet both the weight and height requirements.

How many candidates meet only the weight requirement?

14 / 40

A polynomial function contains the factors 𝑥, 𝑥 − 2, and 𝑥 + 5. Which graph(s) below could represent the graph of this function?

I only

II only

I and III

I, II, and III

15 / 40

Several points are plotted on the graph.

Select the plotted points on the graph that represent the zeros of the function:

𝑓(𝑥) = (𝑥² + 2𝑥 − 8)(𝑥 − 6)?

Select ALL that apply.

(2, 0)

(6, 0)

(0, −8)

(−4, 0)

(−6, 0)

(0, 2)

16 / 40

A cannonball is shot from the top of an ocean cliff as shown. The height (in meters) of the cannonball above the water is given by ℎ(𝑡) = −5𝑡² + 15𝑡 + 8 , where 𝑡 is the number of seconds after the shot

Which of the following statement is False according to the graph?

The cannon is 8 meters above the water

The cannonball reaches its maximum height at 1.5 seconds after it is shot.

The cannonball hits the water 8 seconds after it is shot.

All of the above

17 / 40

A cliff diver’s height above the water, in meters, is modeled by the function ℎ(𝑑) = – 𝑑² + 2𝑑 + 24, where 𝑑 represents how far the diver is from the cliff. How far from the cliff will the diver be when she reaches the water?

0 meters

4 meters

6 meters

24 meters

18 / 40

Juan wants to rent a house. He gathers data on many similar houses. The distance from the center of the city, 𝑥, and the monthly rent for each house, 𝑦, are shown in the scatter plot. Juan models the data with a linear equation

What could the number 1275 represent in this situation?

The estimated rent for a house in the center of the city.

The estimated minimum rent for a house far from the center of the city.

The estimated change in rent for each additional mile from the center of the city.

The estimated change in distance from the center of the city for each dollar change in rent

19 / 40

A scatterplot is made of a city’s population over time. The equation of the line of best fit is 𝑝 = 629𝑡 + 150,000 where 𝑝 is the city’s predicted population size and 𝑡 is the number of years since 2000. What is the meaning of the slope of this line?

In 2000, the city’s population was about 629 people.

In 2000, the city’s population was about 150,00

The city’s population increases by about 629 people each year.

The city’s population increases by about 150,000 people each year.

20 / 40

What is the equation of the line that is perpendicular to $\overline{\rm PQ}$ and passes through the origin?

y = −1

x = 0

y = 0

y = x

21 / 40

Leslie joins a fitness club that has a membership fee of $20 plus $15 per month. Rashad's club has a fee of $40 and charges $10 per month. In how many months will the two clubs cost the same?

4 months

6 months

9 months

12 months

22 / 40

Add √27 + √48 + √75 .

cannot combine

5√6

12√3

50√3

23 / 40

A jar of dimes and quarters is worth $4.55. If there are the same number of dimes as quarters, what is the value of only the dimes?

$1.10

$1.30

$2.40

$3.25

24 / 40

Christina is using her computer to design invitations to her birthday party. The text of the invitation is contained in a rectangle with a length of 9.5 inches and a width of 5 inches. Around the perimeter of the text, Christina wants to have a red border of width r. Around the red border, she wants a purple border of width p. Find an expression for the perimeter of the completed invitation.

29 + 8r + 8p

19 + 8r + 8p

14.5 + 4r + 4p

47.5 + 6r + 2p

25 / 40

A driver who completes 4 laps has driven 10 miles. Determine how many laps a driver must complete to have driven 35 miles.

40 laps

12 laps

14 laps

9 laps

26 / 40

Factor: 2(3 − m) − 3m(m − 3)

(2 − 3m)(m − 3)

(2 + 3m)(m − 3)

(2 + 3m)(3 − m)

(6 − 2m)(m − 3)

27 / 40

Papaya are on sale at 2 fruit for $5.00. How much will 5 papaya cost

$10.00

$15.50

$12.50

$25.00

28 / 40

A cannonball is fired with an initial velocity of 100 meters per second. The object’s distance, d, above the ground at any time, t, can be represented by the equation d = 100t − 5t² . When will the cannonball be 600 meters above the ground?

t = 10 sec

t = 5 sec, t = 15 sec

t = 8.6 sec, t = 11.4 sec

The cannonball will never reach 600 meters

29 / 40

In Mr. Rojo’s music class, 14 students play piano, 18 students play guitar, and 9 play drums. No student plays any other istruments. The following information is also true:

7 students play only guitar;
2 students play all three instruments;
5 students play only piano;
1 student plays piano and drums, but not guitar

This information is placed in a Venn diagram as shown:

How many students play exactly two instruments?

30 / 40

Jalea has a camera that automatically takes pictures of hummingbirds visiting her hummingbird feeder. The camera takes 4 pictures on the first day and 10 pictures every day after that. Which function models the total
number of hummingbird pictures, 𝑓(𝑑), the camera has taken after d days?

𝑓(𝑑) = 4𝑑 + 10

𝑓(𝑑) = 4(𝑑 + 1) + 10

𝑓(𝑑) = 10𝑑 + 4

𝑓(𝑑) = 10(𝑑 − 1) + 4

31 / 40

If the first 𝑁𝑜𝑤 = 5, what formula can be used to find the terms of this pattern?

𝟓, −𝟏𝟎, 𝟐𝟎, −𝟒𝟎, 𝟖𝟎 ...

𝑁𝑒𝑥𝑡 = 𝑁𝑜𝑤 − 15

𝑁𝑒𝑥𝑡 = (−2) ∙ 𝑁𝑜𝑤

𝑁𝑒𝑥𝑡 = 2 ∙ 𝑁𝑜𝑤

𝑁𝑒𝑥𝑡 = (−4) ∙ 𝑁𝑜𝑤 + 10

32 / 40

Every day commuting to and from work, Jay drives his car a total of 45 miles. His car already has 2,700 miles on it.
Which function shows the total number of miles Jay's car will have been driven after n more days?

𝑑(𝑛) = 60

𝑑(𝑛) = 60𝑛

𝑑(𝑛) = 45 + 2,700𝑛

𝑑(𝑛) = 2,700 + 45𝑛

33 / 40

A population that initially has 20 birds approximately doubles every 10 years. Which graph represents this population growth?

34 / 40

In a basketball game, Marlene made 16 field goals. Each of the field goals were worth either 2 points or 3 points, and Marlene scored a total of 39 points from field goals.
Part B
How many three-point field goals did Marlene make in the game?

Enter your answer in the box.

35 / 40

In a basketball game, Marlene made 16 field goals. Each of the field goals were worth either 2 points or 3 points, and Marlene scored a total of 39 points from field goals.
Part A
Let 𝑥 represent the number of two-point field goals and 𝑦 represent the number of three-point field goals. Which equations can be used as a system to model the situation?

Select ALL that apply

𝑥 + 𝑦 = 16

𝑥 + 𝑦 = 39

2𝑥 + 3𝑦 = 16

2𝑥 + 3𝑦 = 39

3𝑥 + 2𝑦 = 16

36 / 40

A certain type of lily plant is growing in a pond in such a way that the number of plants is growing exponentially. The number of plants N in the pond at time tis modeled by the function 𝑁(𝑡) = 𝑎𝑏^𝑡, where 𝑎 and 𝑏 are
constants and 𝑡 is measured in months. The table shows two values of the function.

Which equation can be used to find the number of plants in the pond at time t?

𝑁(𝑡) = 150(1)𝑡

𝑁(𝑡) = 450(1)𝑡

𝑁(𝑡) = 150(3)𝑡

𝑁(𝑡) = 450(3)𝑡

37 / 40

Use the number sequences to answer the question.

The table shows the first 6 terms for three different number sequences. Which statement describes all number sequences?

Sequences are functions, with the previous term as the domain and the following terms as the range.

Sequences are not functions because the same number can appear more than once in a sequence.

Sequences are functions, with the term number as the domain and the terms of the sequence as the range.

Sequences are not functions because functions relate two sets of numbers, the inputs and the outputs, and sequences have only one set of numbers

38 / 40

If a sequence is defined recursively 𝑏𝑦 𝑓(0) = 2 and 𝑓(𝑛 + 1) = −2𝑓(𝑛) + 3 for 𝑛 ≥ 0, then 𝑓(2) is equal to

-11

39 / 40

For the function below, which set produces the sequence -11, 0, 5?

𝑘(𝑛) = 8𝑛 − 3𝑛²

𝑘(−1), 𝑘(0), 𝑘(1)

𝑘(1), 𝑘(2), 𝑘(3)

𝑘(−3), 𝑘(−2), 𝑘(−1)

𝑘(−11), 𝑘(0), 𝑘(5)

40 / 40

Andy has $310 in his account. Each week, 𝑤, he withdraws $30 for his expenses. Which expression could be used if he wanted to find out how much money he had left after 8 weeks?

310 - 8w

280 + 30(w - 1)

310w – 30

280 - 30(w - 1)