EOC Algebra 1 Practice Test #3 Review Exam

EOC Algebra 1 Practice Test #3 Review Exam: This assessment EOC Test is designed to help students prepare for the End-of-Course (EOC) Algebra 1 examination. This practice test, the third in a series of practice tests, aims to gauge students’ understanding of key algebraic concepts, principles, and problem-solving skills that are essential for success in the course and on the final examination.

The test includes a variety of question formats, such as multiple-choice, short-answer, and extended-response, to provide a well-rounded assessment of students’ skills and knowledge.

EOC Algebra 1 Practice Test #3 provides a detailed answer key, complete with step-by-step solutions and explanations, to aid students in identifying their areas of strength and weakness. This feedback helps students focus their study efforts, develop targeted strategies for improvement, and ultimately achieve success on the EOC Algebra 1 examination.

EOC Algebra 1 Practice Test #3

Practice Tests

Algebra EOC Practice Test #3

Algebra EOC Practice Test #3
Total Items: 40
Time Limit: 60 minutes
Score: You can find your test score as a percentage at the end of the test!

1 / 37

Kush simplified the expression below on the board for the class.

$\sqrt{20} + \sqrt{5x} + 3\sqrt{5}$

If Kush simplified the expression correctly, which of the following is his answer?

A) $5 \sqrt{5} + \sqrt{5x}$
B) $7 \sqrt{5} + \sqrt{5x}$
C) $3 \sqrt{5} + \sqrt{5x}$
D) $4 \sqrt{5} + \sqrt{5x}$

2 / 37

Thomas is a car salesman. The table shows the monthly salary that Thomas earns for the number of cars he sells. Use the data to graph the linear function. Write the equation of the line, identify the slope of the line and explain what the slope means.

3 / 37

Jamie needs to simplify the expression below before she substitutes values for a and b.

$\frac{a^{15} b^{12} -a^5 b^8}{a^3 b^2}$

f a ≠ 0 and b ≠ 0, which of the following is a simplified version of the expression above?

a⁵b⁶ − a⁵b⁴

a¹² b¹⁰ − a² b⁶

a⁶ b⁴

a⁷ b²

4 / 37

A printer holds 500 sheets of paper. After printing it held 210 sheets. Of the sheets that were printed, ½ of them were color and ½ of them were grayscale. Which equation can be used to find s, the number of sheets that were printed in color?

½ − 500 = 210

500 − ½ s = 210

210 − 500 = 2s

500 − 2s = 210

5 / 37

Which monomial below writes the product (3x)(3x)(3x)(3x)(3x)(3x) in a more compact form?

6(3x)

3x⁶

(3x)⁶

18x⁶

6 / 37

There were T people waiting for buses at the station. When the first bus arrived, n people boarded it. The remaining p people waited for buses to other places.

Use the equation T − n = p, to find n, the number of people who boarded the first bus.

n = p − T

n = T/p

n = T − p

n = T + p

7 / 37

Write an equation in slope-intercept form for the line that passes through (3, 7) and (7, 4).

8 / 37

Which compound inequality is shown by the graph below?

x ≥ 2 AND x ≤ 8

x ≥ 2 OR x ≥ 8

x ≥ 2 OR x ≤ 8

x ≤ 2 OR x ≤ 8

9 / 37

Corinne has a cell phone plan that includes 200 minutes for phone calls and unlimited texting. An additional fee is charged for using more than 200 minutes for phone calls. The figure below is the graph of 𝐶 = 𝑓(𝑚), where 𝐶 is the monthly cost after m minutes used.

Part D: What is the cost per minute after Corinne uses her monthly allowance of 200 minutes? Show or explain your work.

ENTER THE CORRECT VALUE without $

10 / 37

Part C: For what 𝑚 is 𝑓(𝑚) = 55? Explain its meaning in terms of the cell phone plan.

ENTER THE CORRECT VALUE without $

11 / 37

Part B: What is the value of 𝑓(150). Explain its meaning in terms of the cell phone plan.

ENTER THE CORRECT VALUE without $

12 / 37

Part A: What is the minimum monthly cost for Corinne's cell phone plan? Show or explain your work.

ENTER THE CORRECT VALUE without $

13 / 37

The daily cost of production in a factory is calculated using 𝑐(𝑥) = 200 + 16𝑥, where 𝑥 is the number of complete products manufactured. Which set of numbers best defines the domain of 𝑐(𝑥)?

Integers

positive real numbers

positive rational numbers

whole numbers

14 / 37

Sue hits a ball from a height of 4 feet. The height of the ball above the ground is a function of the horizontal distance the ball travels until it comes to rest on the ground. Consider this complete graph of the function.

Select all values that are in the domain of the function as shown in the graph.

-5 feet

0 feet

60 feet

200 feet

220 feet

15 / 37

The function ℎ(𝑡) = −16𝑡² + 144 represents the height, ℎ(𝑡), in feet, of an object from the ground at 𝑡 seconds after it is dropped. A realistic domain for this function is

−3 ≤ 𝑡 ≤ 3

0 ≤ ℎ(𝑡) ≤ 144

0 ≤ 𝑡 ≤ 3

𝑎𝑙𝑙 𝑟𝑒𝑎𝑙 𝑛𝑢𝑚𝑏𝑛𝑒𝑟𝑠

16 / 37

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 height requirement?

Enter the correct value.

17 / 37

The trajectory of a potato launched from a potato cannon on the ground at an angle of 45 degrees with an initial speed of 65 meters per second can be modeled by the parabola: f(x) = x – 0.0023x², where the x-axis is the ground. Find the height of the highest point of the trajectory and the horizontal distance the potato travels before hitting the ground.

height: 109 m; distance: 435 m

height: 121 m; distance: 418 m

height: 118 m; distance: 421 m

height: 102 m; distance: 409 m

18 / 37

Jasmine and her sister are saving to buy MP3 players. Jasmine has $50 and plans to save $10 per week. Her sister has $80 and plans to save $7 per week. In how many weeks will Jasmine have more money saved than her sister?

2 weeks

4 weeks

10 weeks

11 weeks

19 / 37

An object is thrown upward with an initial velocity of 35 meters per second. The object’s distance, d, above the ground at any time, t, can be represented by the equation d = 35t − 5t² . When will the object be 50 feet above the ground?

t = 1 sec and t = 0.4 sec

t = 2 sec and t = 5 sec

t = 2sec and t = 10 sec

t = 5 sec and t = 10 sec

20 / 37

Marc sold 461 tickets for the school play. Student tickets cost $3 and adult tickets cost $4. Marc's sales totaled $1624. How many adult tickets and how many student tickets did Marc sell?

220 adult, 241 student

225 adult, 236 student

236 adult, 225 student

241 adult, 220 student

21 / 37

Which of the following is a member of M × N?

M = {20, 30, 55, 60}; N = {30, 55, 65}

(20, 20)

(30, 30)

(55, 60)

(30, 60)

22 / 37

In Mr. Rojo’s music class, 14 students play piano, 18 students play guitar, and 9 play drums. No student plays any other instruments. 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:

Which of the following correctly shows the completed Venn diagram?

23 / 37

When solving the equation, what property was used to go from Step 2 to Step 3?

Step 1: −(2x + 3) = x − 18
Step 2: −2x − 3 = x − 18
Step 3: −3 = 3x − 18

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

24 / 37

Give the domain and range of the relation.

D: {3, 6, –7, 7, 13, –13}; R: {0}

D: {–7, 0, 3, 6}; R: {–13, 0, 7, 13}

D: {–7, 3, 6}; R: {–13, 7, 13}

D: {–13, 0, 7, 13}; R: {–7, 0, 3, 6}

25 / 37

Use the graph to answer the questions.

What does the 𝑥-intercept of the graph represent in terms of the water spray? Use specific information about the coordinates of the 𝑥-intercept in your answer.

The water spray will reach the ground 4 feet from the base of the fire hose.

The water spray will reach the ground 2 feet from the base of the fire hose.

The water spray will reach the ground 24 feet from the base of the fire hose.

The water spray will reach the ground 42 feet from the base of the fire hose.

26 / 37

This graph shows the population of mice in a study, modeled as a function of time. The study begins on day 0 and ends on day 200.

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

The mouse population was decreasing between day 40 and day 80.

The least number of mice during the study was 130.

The mouse population was at its greatest around day 160.

There are two intervals of time where the mouse population is decreasing.

27 / 37

A computer technician charges a one-time fee of $50 plus an additional $20 per hour of labor. If an equation is created to determine the technician's total charge, what does the $50 represent?

slope

coefficient

𝑥-intercept

𝑦-intercept

28 / 37

The function 𝑓(𝑥) = 4𝑥 − 𝑥² is graphed in the 𝑥𝑦-coordinate plane as shown.

Part A Based on the graph of the function, which statements are true? Select ALL that apply.

f is increasing on the interval 𝑥 < 0.

f is decreasing on the interval 𝑥 < 0.

f is increasing on the interval 0 < 𝑥 < 2

f is decreasing on the interval 0 < 𝑥 < 2

f is increasing on the interval 2 < 𝑥 < 4

f is decreasing on the interval 2 < 𝑥 < 4

f is increasing on the interval 𝑥 > 4

f is decreasing on the interval 𝑥 > 4

29 / 37

An equation of a function 𝑦(𝑡) is shown.

𝑦(𝑡) = −𝑡2 + 14𝑡 − 40

Select All of the statements that are true about the graph of 𝑦(𝑡) for 6 ≤ 𝑡 ≤ 8.

The value of 𝑦(𝑡) increases over the interval 6 ≤ 𝑡 ≤ 8

The value of 𝑦(𝑡) increases over the interval 7 ≤ 𝑡 ≤ 8

The average rate of change over the interval 6 ≤ 𝑡 ≤ 8 is 0

The value of 𝑦(𝑡) is constant over the interval 6 ≤ 𝑡 ≤ 8

The average rate of change over the interval 6 ≤ 𝑡 ≤ 7 is the same as the average rate of change over the interval 7 ≤ 𝑡 ≤ 8

30 / 37

A graph of average resting heart rates is shown below. The average resting heart rate for adults is 72 beats per minute, but doctors consider resting rates from 60-100 beats per minute within the normal range.

Which statement about average resting heart rates is not supported by the graph?

A 10-year-old has the same average resting heart rate as a 20-year-old

A 20-year-old has the same average resting heart rate as a 30-year-old.

A 40-year-old may have the same average resting heart rate for ten years

The average resting heart rate for teenagers steadily decreases.

31 / 37

The table below is of a quadratic function, 𝑔 (𝑥), where 𝑥 is measured in seconds and 𝑔 (𝑥) is measured in meters

What is the approximate rate of change over the interval 0 ≤ 𝑥 ≤ 4?

22.8 m/s

8.7 m/s

6.3 m/s

5.7 m/s

32 / 37

During the first years of growth, the height of a tree can be modeled with the function

ℎ = −𝑡² + 12𝑡 + 10

where 𝑡 is the time in years since being planted and h is the height in inches.

Enter the average rate of change, in inches per year, from year 1 to year 5.

33 / 37

Use the table to answer the question

A scientist measures the water temperature in the Gulf at Gulfport on the fifteenth of each month. Her data is shown in the table.

What is the average rate of change between March 15 and June 15?

2.6°F per month

3.9°F per month

5.2°F per month

7.8°F per month

34 / 37

Which of the following best describes the relationship between the math class grade and number of days absent represented by the table?

The math class grade is not affected by the number of days absent.

The math class grade decreases steadily as the number of days absent decreases.

The math class grade increases steadily as the number of days absent increases.

The math class grade decreases steadily as the number of days absent increases

35 / 37

The function 𝑟(𝑥) represents the radius of a circle for a given area 𝑥. A graph of the function is shown in the figure. According to the graph what is the approximate average rate of change in the radius of the circle as the area increases from 3 square feet to 7 square feet?

0.125 foot per square foot

0.25 foot per square foot

0.5 foot per square foot

8 feet per square foot

36 / 37

Nancy works for a company that offers two types of savings plans.

Plan A is represented on the graph below.

Plan B is represented by the function 𝑓(𝑥) = 0.01 + 0.05𝑥², where 𝑥 is the number of weeks. Nancy wants to have the highest savings possible after a year. Nancy picks Plan B.

Her decision is

correct, because Plan B is an exponential function and will increase at a faster rate

correct, because Plan B is a quadratic function and will increase at a faster rate

incorrect, because Plan A will have a higher value after 1 year

incorrect, because Plan B is a quadratic function and will increase at a slower rate

37 / 37

Two linear functions are represented by the set of ordered pairs and the graph below.

{(−4, −6), (−2, −2), (2, 6), (4, 10)}

Which statement is true about the functions?

The two functions are the same.

The two functions have the same y-intercept

The two functions have the same x-intercept

The two functions have the same rate of change

Your score is

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