EOC Algebra Practice Test #4

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 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?

Which situation best describes the graph?

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?

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.

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

−9p = −108

Which equation represents the data in the table?

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?

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?

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.

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?

Simplify:

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

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?

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

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.

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? 

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?

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?

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?

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

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?

Add √27 + √48 + √75 .

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?

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.

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

Factor: 2(3 − m) − 3m(m − 3)

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

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 − 5t ² . When will the cannonball be 600 meters above the ground?

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?

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?

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

𝟓, −𝟏𝟎, 𝟐𝟎, −𝟒𝟎, 𝟖𝟎 ...

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?

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

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.

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

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?

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?

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

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

𝑘(𝑛) = 8𝑛 − 3𝑛²

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?