Name: _____________________________________________

ALGEBRA 1 EOC

SPIRAL REVIEW

JAM - STUDY HALL

Instructions:

• These exercises have been provided by the Miami Dade County Public Schools to review specific topics during the month of February.

• A packet will be provided to each student in the JAM Study Hall program, and will be used on a weekly basis. Bring it with you to all sessions.

• Only one packet will be provided. If lost, please re-print from the school's website.

• Be mindful of these symbols, and practice adequately. You will not be allowed to use a calculator on all items on the EOC:

This symbol means you may use a calculator.

This symbol means you CAN'T use a calculator.

• Our time together is limited. You will be expected to complete some of this work independently, and come ready to ask questions.

2017 Instructional Focus Calendar – Algebra 1

Teacher Planning Day

* Teacher Planning Day No Opt

Legal Holiday

Recess Day Secondary Early Release

Beg/End of Grading Period

February

Monday Tuesday Wednesday Thursday Friday

30 31 1 2 3

6 7 8 9 10

13 14 15 16 17

20 21 22 22 24

27 28

Resources

Reporting Category: Algebra and Modeling

MAFS.912.A-CED.1.1 Answer Key Also assesses: MAFS.912.A-REI.2.3 MAFS.912.A-CED.1.4

MAFS.912.A-CED.1.2 Answer Key Also assesses: MAFS.912.A-REI.3.5 MAFS.912.A-REI.3.6 MAFS.912.A-REI.4.12

MAFS.912.A-CED.1.3 Answer Key

MAFS.912.A-REI.1.1 Answer Key

Reporting Category: Functions and Modeling

MAFS.912.F-IF.2.4 Answer Key Also assesses: MAFS.912.F-IF.3.9

MAFS.912.F-LE.1.1 Answer Key Also assesses: MAFS.912.F-LE.2.5

MAFS.912.F-IF.1.2 Answer Key Also assesses: MAFS.912.F-IF.1.1 MAFS.912.F-IF.2.5

MAFS.912.F-IF.2.6 Answer Key Also assesses: MAFS.912.S-ID.3.7

Houghton Mifflin Harcourt Resources

Personal math Trainer Common Core Assessment Readiness Benchmark Test 1 (Modules 1-7)

Edgenuity 2016-2017_MDCPS_1200310_Algebra 1_MAFS_Full Year

CPALMS Original Tutorials Graphing Linear Inequalities Justifiable Steps

MAFS.912.A-CED.1.1 MAFS.912

MAFS.912.A-REI.1.1

MAFS.912.F-IF.1.2

MAFS.912.F-IF.2.4 A-CED.1.3

MAFS.912.F-IF.2.4 (Cont.) MAFS.912.F-LE.1.1

MAFS.912.A-CED.1.2

MAFS.912.F-IF.2.6

Reporting Category:

Algebra and Modeling

Name: __________________________________________________

MAFS.912.A-CED.1.2

1. At the school bookstore, a pencil costs 25¢, a notebook costs $1.75, and a piece of graph paper costs 5¢.

Which formula below could be used to determine the total cost c, in cents, of purchasing p pencils, n

notebooks, and g pieces of graph paper?

A. 𝑐 = 25𝑝 + 1.75𝑛 + 5𝑔

B. 𝑐 = 25𝑝 + 175𝑛 + 5𝑔

C. 𝑐 = 0.25𝑝 + 1.75𝑛 + 0.05𝑔

D. 𝑐 = 0.25𝑝 + 1.75𝑛 + 0.5𝑔

2. Luis spent $55 buying songs and movies at an online store that charges $1.25 for each song and $2.75 for

each movie. He purchased a total of 26 songs and movies combined. Write a system of equations that

represents this situation.

3. Tom lives in a town 360 miles directly north of New York City, and one Saturday, he takes the train from his

town to the city. The train travels at a constant speed, and after 2.5 hours, he sees a sign that states, “New

York City: 210 miles.” Write an equation to represent 𝑑(𝑥), the distance Tom is from New York City after 𝑥

hours.

4. An animal shelter spends $2.35 per day to care for each cat and $5.50 per day to care for each dog. Pat

noticed that the shelter spent $89.50 caring for cats and dogs on Wednesday. Pat found a record showing

that there were a total of 22 cats and dogs at the shelter on Wednesday. How many cats were at the shelter

on Wednesday?

5. Which of the following represents a linear equation? Select All that apply.

𝑦 = 5𝑥

𝑦 = 2𝑥2 + 1

𝑦 = 2𝑥

𝑦 − 3 = 2(𝑥 − 1)

𝑦 = 21

𝑥− 4

𝑦 + 𝑥 − 2 = 3(𝑥 + 5)

Name: __________________________________________________

6. A machine can enlarge a 6-inch by 4-inch rectangular photograph to any of the dimensions shown in the table below. Which equation represents the relationship between 𝑙, the length of the enlargement, and 𝑤, the width of the enlargement?

Length (inches)

Width (inches)

12 8

18 12

30 18

A. 𝑤 = 𝑙 − 4 B. 𝑤 = 𝑙 − 6

C. 𝑤 =2

3𝑙

D. 𝑤 =3

2𝑙

7. The glee club is selling cupcakes at a local fair. They must pay $20 to rent a booth and they are selling the

cupcakes for $2 each. Graph their profit or loss, in dollars, against the number of cupcakes they sell.

Name: __________________________________________________

MAFS.912.A-REI.3.5

1. What is the first step in solving the system shown using the elimination method?

{3𝑥 − 12𝑦 = 53𝑦 − 𝑥 = 9

A. Multiply each term in 3𝑦 − 𝑥 = 9 by 12. B. Multiply each term in 3𝑦 − 𝑥 = 9 by −12. C. Rewrite the equations so like variable terms are in the same order. D. Add the corresponding sides of each equation.

2. Which system of equations cannot be directly solved by applying the elimination method?

A. {12𝑥 − 11𝑦 = −4−6𝑥 − 11𝑦 = 7

B. {𝑥 − 11𝑦 = −6𝑥 + 12𝑦 = −7

C. { 7𝑥 + 11𝑦 = 12−6𝑥 − 4𝑦 = −21

D. { 𝑥 + 11𝑦 = 711𝑦 − 12𝑥 = 4

3. Pilar says that the two linear systems below have the same solution. Is she correct? Explain.

{3𝑥 + 2𝑦 = 25𝑥 + 4𝑦 = 6

and {3𝑥 + 2𝑦 = 2

11𝑥 + 8𝑦 = 10

4. Fawn bought a total of 70 cakes for a tea party. She spent $3,025. Fawn bought vanilla cakes for $22 each

and a fruit filled cake for $55 each. The system of equations below can be used to find the number of

vanilla cakes, v, and the number of fruit filled cakes, f, Fawn purchased. Which system of equations has the

same solution as the system below.

A. { 𝑣 + 𝑓 = 7022𝑣 + 55𝑓 = 3,025

B. { 22𝑣 + 𝑓 = 7022𝑣 + 55𝑓 = 3,025

C. { 𝑣 + 55𝑓 = 3,85022𝑣 + 55𝑓 = 3,025

D. { 22𝑣 + 55𝑓 = 7022𝑣 + 55𝑓 = 3,025

E. {22𝑣 + 22𝑓 = 1,54022𝑣 + 55𝑓 = 3,025

Name: __________________________________________________

5. Rachel is solving the system of equations {7𝑥 − 21𝑦 = 142𝑥 + 3𝑦 = 11

using the elimination method. Which of the

following steps could she use?

A. Divide the first equation by 2 and then add the result to the second equation.

B. Multiply the first equation by 21 then add the result to the second equation.

C. Multiply the second equation by 3 then add the result to the first equation.

D. Divide the first equation by 7 then add the result to the second equation.

Name: __________________________________________________

MAFS.912.A-REI.3.6

1. A local business was looking to hire a landscaper to work on their property. They narrowed their choices to

two companies. Flourish Landscaping Company charges a flat rate of $120 per hour. Green Thumb

Landscapers charges $70 per hour plus a $1600 equipment fee. Write a system of equations representing

how much each company charges. Determines and state the number of hours that must be worked for the

cost of each company to be the same.

2. Luis spent $55 buying songs and movies at an online store that charges $1.25 for each song and $2.75 for

each movie. He purchased a total of 26 songs and movies combined. Determine how many songs and how

many movies Luis purchased, using either an algebraic or graphical approach.

3. Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales in dollars, 𝑥,

which can be represented by 𝑔(𝑥) = 185 + 0.03𝑥. Jim is paid $275 per week plus 2.5% of his total sales in

dollars, 𝑥, which can be represented by 𝑓(𝑥) = 275 + 0.025𝑥. Determine the value of 𝑥, in dollars, that

will make their weekly pay the same.

4. A restaurant serves a vegetarian and a chicken lunch special each day. Each vegetarian special is the same

price. Each chicken special is the same price. However the price of the vegetarian special is different from

the price of the chicken special.

On Thursday, the restaurant collected $467 selling 21 vegetarian specials and 40 chicken specials.

On Friday, the restaurant collected $484 selling 28 vegetarian specials and 36 chicken specials.

What is the cost of each lunch special?

5. In a basketball game, Marlene made 16 field goals. Each of the field goals was worth either 2 points or 3

points, and Marlene scored a total of 39 points from field goals. Let x represent the number of two-point

field goals and y to model the situation. How many three-point field goals did Marlene make in the game?

6. While analyzing the landing procedures of airplanes, George noted one plane at an altitude of 5,000 feet

descending at a rate of 300 feet per minute and one at an altitude of 14,000 feet descending at a rate of

1,200 feet per minute. Which of the following solutions represents when the two airplanes will reach the

same altitude?

A. (6, 3200)

B. (10, 2000)

C. (12.7, 1190)

D. (21, 1300)

Name: __________________________________________________

MAFS.912.A-REI.4.12

1. Select all points from the list below that lie in the solution set of the system of inequalities graphed below?

(7, 0)

(3, 0)

(0, 7)

(-3, -5)

(9, -3)

(0, -1)

2. On the set of axes below, solve the following system of inequalities graphically.

{𝑦 > −𝑥 + 32𝑦 + 6 ≤ 𝑥

Name: __________________________________________________

3. Larry believes that (4, -1) is a solution to the system of inequalities {𝑦 > −𝑥 + 32𝑦 + 6 ≤ 𝑥

. Is he correct? Explain

your reasoning.

4. Given: {𝑦 + 𝑥 > 2𝑦 ≤ 3𝑥 − 2

Which graph shows the solution of the given set of inequalities?

A.

B.

C.

D.

5. Which description fits the graph of 𝑥 > 4?

A. A vertical solid line, shaded to the right of the line

B. A horizontal dashed line, shaded above the line

C. A horizontal solid line, shaded above the line

D. A vertical dashed line, shaded to the right of the line

Name: __________________________________________________

MAFS.912.A-CED.1.1

1. John has four more nickels than dimes in his pocket, for a total of $1.25. Which equation could be used to determine the number of dimes, 𝑥 , in his pocket? A. 0.10(𝑥 + 4) + 0.05(𝑥) = $1.25 B. 0.05(𝑥 + 4) + 0.10(𝑥) = $1.25 C. 0.10(4𝑥) + 0.05(𝑥) = $1.25 D. 0.05(4𝑥) + 0.10(𝑥) = $1.25

2. A gardener is planting two types of trees:

Type A is three feet tall and grows at a rate of 15 inches per year.

Type B is four feet tall and grows at a rate of 10 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.

3. The cost of a pack of chewing gum in a vending machine is $0.75. The cost of a bottle of juice in the same

machine is $1.25. Julia has $22.00 to spend on chewing gum and bottles of juice for her team and she must buy seven packs of chewing gum. If b represents the number of bottles of juice, which inequality represents the maximum number of bottles she can buy? A. 0.75𝑏 + 1.25(7) ≥ 22 B. 0.75𝑏 + 1.25(7) ≤ 22 C. 0.75(7) + 1.25𝑏 ≥ 22 D. 0.75(7) + 1.25𝑏 ≤ 22

4. Natasha is planning a school celebration and wants to have live music and food for everyone who attends.

She has found a band that will charge her $750 and a caterer who will provide snacks and drinks for $2.25 per person. If her goal is to keep the average cost per person between $2.75 and $3.25, how many people, p, must attend? A. 225 < 𝑝 < 325 B. 325 < 𝑝 < 750 C. 500 < 𝑝 < 1000 D. 750 < 𝑝 < 1500

5. Kegan wants to buy a new skateboard that will cost $140. So far, Kegan has saved $30 toward the purchase of the skateboard. To raise the remaining money needed, Kegan mows his neighbor’s lawn and charges $10 each time he completes the job. Write an equation to find x, the number of times Kegan mows his neighbor’s lawn. How many times will Kegan need to mow his neighbor’s lawn to have enough money to buy the skateboard?

6. Paul purchased a new fish tank, represented by the diagram below. The height, ℎ, of the tank is 3 feet, and the width, 𝑤, is 6 feet longer than the length, 𝑙. The volume of the tank (𝑉=𝑙𝑤ℎ) is 60 𝑓𝑡3. Write an equation that could be used to calculate the length of the tank.

Name: __________________________________________________

7. A rectangular garden measuring 12 meters by 16 meters is to have a walkway installed around it with a

width of 𝑥 meters, as shown in the diagram below. Together, the walkway and the garden have an area of

396 square meters.

Part A: Write an equation that can be used to find x, the width of the walkway.

Part B: Describe how your equation models the situation.

Part C: Determine the width of the walkway, in meters.

Name: __________________________________________________

MAFS.912.A-REI.2.3

1. What is the solution of 4𝑥 − 30 ≥ −3𝑥 + 12? A. 𝑥 ≥ 6 B. 𝑥 ≤ 6 C. 𝑥 ≥ −6 D. 𝑥 ≤ −6

2. Which graph represents the solution set for 2𝑥 − 4 ≤ 8 𝑎𝑛𝑑 𝑥 + 5 ≥ 7?

A.

B.

C.

D.

3. Solve:

15 = −1

2(−12𝑥 + 2)

A. 3

8

B. 8

3

C. 7

3

D. 3

7

4. Which ordered pair is NOT in the solution set of 𝑦 > −1

2𝑥 + 5 and 𝑦 ≤ 3𝑥 − 2?

A. (5,3)

B. (4,3)

C. (3,4)

D. (4,4)

5. Which value of 𝑥 satisfies the equation 7

3(𝑥 +

9

28) = 20?

A. 8.25

B. 8.89

C. 19.25

D. 44.92

Name: __________________________________________________

MAFS.912. A-CED.1.4

1. The formula shown can be used to find 𝐴, the amount of money Raul has in his savings account. 𝐴 = 𝑃 + 𝑃𝑟𝑡

Raul wants to find 𝑟, the rate of interest his money earns. Which equation is correctly solved for 𝑟?

A. 𝑟 = 𝐴𝑃𝑡

B. 𝑟 = 𝐴 − 2𝑃𝑡

C. 𝑟 =𝐴

2𝑃𝑡

D. 𝑟 =𝐴−𝑃

𝑃𝑡

2. A data set with an even number of data points is ordered from least to greatest. The middle two data

points are represented by 𝑥1 and 𝑥2. This formula can be used to find the median of the data set.

𝑚 =𝑥1 + 𝑥2

2

Which shows this formula solved for 𝑥1?

A. 𝑥1 = 𝑚 −𝑥2

2

B. 𝑥1 = 2𝑚 − 𝑥2 C. 𝑥1 = 2𝑚 − 2𝑥2 D. 𝑥1 = 𝑚 − 2 − 𝑥2

3. Given the following formula, 𝑞 =𝑟

2(𝑠 + 𝑡) which of the following formulas are also true? Select All that

apply.

𝑠 =𝑞

2𝑟− 𝑡

𝑠 = 𝑡 −2𝑞

𝑟

𝑡 =2𝑞

𝑟− 𝑠

𝑟 =2𝑞

𝑠+𝑡

𝑟 =𝑞

𝑠

2+

𝑡

2

4. The movement of particles is described in the equation 𝑟 =ℎ𝑡2

2− 2𝑣𝑡 − 2𝑐. Solve the equation for 𝑣.

5. Air resistance (𝐹) is a force that affects objects that move through the air. It depends on the density of the

air (𝜌), the area of the object (𝐴), the velocity it is moving (𝑣), and a "drag coefficient" (𝐶𝐷) that accounts for other properties of the object like the surface roughness, and turbulence. Air resistance is also called "drag", and the unit for this force is Newtons (𝑁). Solve the equation below for 𝐴.

𝐹 =𝜌𝐶𝐷𝐴

2𝑣2

Name: __________________________________________________

MAFS.912.A-CED.1.3

1. An electronics store sells DVD players and cordless telephones. The store makes a $75 profit on the sale of each DVD player (d) and a $30 profit on the sale of each cordless telephone (c). The store wants to make a profit of at least $255.00 from its sales of DVD players and cordless phones. Which inequality describes this situation? A. 75𝑑 + 30𝑐 < 255 B. 75𝑑 + 30𝑐 ≤ 255 C. 75𝑑 + 30𝑐 > 255 D. 75𝑑 + 30𝑐 ≥ 255

2. A typical cell phone plan has a fixed base fee that includes a certain amount of data and an overage charge

for data use beyond the plan. A cell phone plan charges a base fee of $62 and an overage charge of $30 per gigabyte of data that exceed 2 gigabytes. If C represents the cost and g represents the total number of gigabytes of data, which equation could represent this plan when more than 2 gigabytes are used? A. 𝐶 = 30 + 62(2 − 𝑔) B. 𝐶 = 30 + 62(𝑔 − 2) C. 𝐶 = 62 + 30(2 − 𝑔) D. 𝐶 = 62 + 30(𝑔 − 2)

3. Renee is going bowling.

The cost per game is $2.50.

Renee will need to rent a pair of bowling shoes for $1.50

She can spend up to $16.00 to bowl and rent a pair of shoes. What is the maximum number of games that Renee can bowl? A. 4 B. 5 C. 6 D. 9

4. Janice has final exams in Algebra 1 and Biology on Friday. She has up to 12 hours to study for the exams

and her mom said she must spend more time on Algebra (𝑎) than Biology (𝑏). Which of the following constraints can be used to represent this situation?

A. {𝑎 + 𝑏 ≤ 12𝑎 ≥ 𝑏

B. {𝑎 + 𝑏 ≥ 12𝑎 ≥ 𝑏

C. {𝑎 + 𝑏 < 12𝑎 > 𝑏

D. {𝑎 + 𝑏 ≤ 12𝑎 > 𝑏

Name: __________________________________________________

5. A club is selling hats and jackets as a fundraiser. Their budget is $1500 and they want to order at least 250 items. They must buy at least as many hats as they buy jackets. Each hat costs $5 and each jacket costs $8. Part A: Write a system of inequalities to represent the situation.

Part B: If the club buys 150 hats and 100 jackets, will the conditions be satisfied?

Part C: What is the maximum number of jackets they can buy and still meet the conditions?

6. The coffee variety Arabica yields about 750 kg of coffee beans per hectare, while Robusta yields about 1200 kg per hectare. Suppose that a plantation has 𝑎 hectares of Arabica and 𝑟 hectares of Robusta.

Part A: Write an equation relating 𝑎 and 𝑟 if the plantation yields 1,000,000 kg of coffee.

Part B: On August 14, 2003, the world market price of coffee was $1.42 per kg of Arabica and $0.73 per kg of Robusta. Write an equation relating 𝑎 and 𝑟 if the plantation produces coffee worth $1,000,000.

7. A company is repaving their parking lot and trying to decide how many parking spaces they can make when painting the new lines. The lot has 3200 square feet of room for the parking spaces. A standard car’s parking space is 162 square feet and a compact car’s parking space is 120 square feet. Select All of the following that are viable solutions to this parking lot situation.

13 standard cars and 10 compact cars

10 standard cars and 13 compact cars

18 standard cars and 6 compact cars

6 standard cars and 18 compact cars

19 standard cars 26 compact cars

Name: __________________________________________________

MAFS.912.A-REI.1.1

1. When solving the equation 4(3𝑥2 + 2) − 9 = 8𝑥2 + 7, Emily wrote 4(3𝑥2 + 2) = 8𝑥2 + 16 as her first step. Which property justifies Emily's first step? A. addition property of equality B. commutative property of addition C. multiplication property of equality D. distributive property of multiplication over addition

2. When solving for the value of 𝑥 in the equation 4(𝑥 − 1) + 3 = 18, Aaron wrote the following lines on the board.

Line 1 4(𝑥 − 1) + 3 = 18 Line 2 4(𝑥 − 1) = 15 Line 3 4𝑥 − 1 = 15 Line 4 4𝑥 = 16 Line 5 𝑥 = 4

Which property was used incorrectly when going from line 2 to line 3? A. Distributive B. Commutative C. Associative D. Multiplicative inverse

3. Ken solved the linear equation 2(5𝑦 − 1) = 18 using the following steps.

Step 1 2(5𝑦 – 1) = 18 Step 2 10𝑦 – 1 = 18 Step 3 10𝑦 = 19 Step 4 𝑦 = 1.9

Which statement is true about Ken’s method? A. Ken made a mistake between Steps 1 and 2. B. Ken made a mistake between Steps 2 and 3. C. Ken made a mistake between Steps 3 and 4 D. Ken solved the equation correctly.

4. When Aaliyah picks any number between 1 and 20, doubles it, adds 6, divides by 2 and subtracts 3, she always gets the number she started with. Evaluate and use algebraic evidence to support your conclusion.

Name: __________________________________________________

5. Which property of equality can be used to justify this step?

A. Substitution Property of Equality B. Summation Property of Equality C. Addition Property of Equality D. Subtraction Property of Equality

Reporting Category:

Functions and Modeling

Name: __________________________________________________

MAFS.912.F-IF.2.4 1. Which function has the same y-intercept as the graph below?

A. 𝑓(𝑥) =

12−6𝑥

4

B. 𝑓(𝑛) =6𝑛−27

3

C. 𝑓(𝑡) =18−𝑡

6

D. 𝑓(𝑠) = 6𝑠 − 3 2. A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground.

The graph below shows the height, 𝑦, of the ball from the ground after 𝑥 seconds.

For which interval is the ball's height always decreasing?

A. 0 ≤ 𝑥 ≤ 2.5 B. 0 < 𝑥 < 2.5 C. 2.5 < 𝑥 < 5.5 D. 𝑥 ≥ 2

Name: __________________________________________________

3. The graph below represents a jogger's speed during her 20-minute jog around her neighborhood.

Which statement best describes what the jogger was doing during the minute interval of her jog? A. She was standing still. B. She was increasing her speed. C. She was decreasing her speed D. She was jogging at a constant rate.

4. A bug travels up a tree, from the ground, over a 30-second interval. It travels fast at first and then slows

down. It stops for 10 seconds, then proceeds slowly, speeding up as it goes. Which sketch best illustrates the bug’s distance (𝑑) from the ground over the 30-second interval (𝑡)?

A.

B.

C.

D.

Name: __________________________________________________

5. The graph models 𝐴, the area in square feet of a rectangular porch with a length that is 0.56𝑤 less than

28 𝑓𝑡 given a width of 𝑤 feet.

Based on the graph, what is the width in feet of the porch with the greatest area?

A. 175 ft. B. 50 ft. C. 25 ft. D. 350 ft.

Name: __________________________________________________

MAFS.912.F-IF.3.9

1. Given the functions below:

𝑥 ℎ(𝑥) -5 6

-2 3

1 0

8 -7

For each comparison below enter the correct symbol (>, <, 𝑜𝑟 =) to indicate the relationship between the first and the second inequality.

The 𝑦-coordinate of the 𝑦-intercept of 𝑓(𝑥).

The 𝑦-coordinate of the 𝑦-intercept of ℎ(𝑥).

𝑓(−2) ℎ(−6)

The minimum value of 𝑓(𝑥) on the interval −3 ≤ 𝑥 ≤ 3

The minimum value of ℎ(𝑥) on the interval −3 ≤ 𝑥 ≤ 3

𝑓(−2) − 𝑓(1)

−2 − 1

ℎ(−2) − ℎ(1)

−2 − 1

2. Given the two functions below, which has a greater rate of change? Explain your reasoning.

𝑓(𝑥) − 3𝑥 + 15

3. The function 𝐴(𝑡) = 99𝑡 describes the cost of Cell Phone Plan A (in dollars) for t months. The table below

shows the cost of Cell Phone Plan B for t months. Which plan will cost more for 6 months, and which function describes the cost of Plan B?

𝑡 1 2 3

𝐵(𝑡) $150 $200 $250

A. Plan B; 𝐵(𝑡) = 100𝑡 + 50 B. Plan B; 𝐵(𝑡) = 50𝑡 + 100 C. Plan A; 𝐵(𝑡) = 100𝑡 + 50 D. Plan A; 𝐵(𝑡) = 50𝑡 + 100

Name: __________________________________________________

4. Tony is the best pizza deliveryman in the city. He has been offered jobs by all the best pizza places.

Bombinoes’ Pizza is offering $56 per shift and $2.50 in commission for each pizza delivered.

Papa Ron’s made their offer in the form of this graph.

Little Squeezer’s showed Tony a table of salaries.

Pizzas 0 2 4 10

Salary 48 54 60 78

Pizza Tent has given Tony his pay options in the following function. 𝑆 represents Tony’s salary, and 𝑝 represents the number of pizzas he delivers.

𝑆 = 2.75𝑝 + 52

Part A: Which company pays the best pay per shift?

Part B: Which company pays the most per pizza?

Part C: If Tony is going to deliver at least 20 pizzas every night, which company should he work for?

5. The Metropolis Zoo recently celebrated the birth of two new baby pandas!

Mochi the panda cub has been measured and weighed each week since she was born.

Weeks Weight

0 1

1 5

2 9

3 13

Mochi’s brother is Kappa. His weight has been charted on the graph below.

Part A: Which panda was heavier when they were born?

Part B: Which panda is growing faster?

Part C: If Which panda will weigh more at five weeks?

Name: __________________________________________________

MAFS.912.F-LE.1.1 1. Tom deposited $100 into a bank, and the amount in his bank account increases by 5% each year. Christine

deposited $100 into a different bank, and the amount in her bank account increases by $5 each year. Which statement is true about the amounts in Tom’s and Christine’s bank accounts? A. The amount in Tom’s bank account can be modeled by an exponential function and the amount in

Christine’s bank account can be modeled by a linear function. B. The amount in Tom’s bank account can be modeled by a linear function and the amount in Christine’s

bank account can be modeled by an exponential function. C. The amounts in both bank accounts can both be modeled by exponential functions. D. The amounts in both bank accounts can both be modeled by linear functions.

2. For his science lab assignment Gionni needed to grow cells and record his results at the end of each day.

The number of cells at the end of certain days in Gionni’s experiment is listed in the table below. Identify the type of function that represents the data in the table below along with its rate of change or growth factor.

Days Number of cells

0 243

1 486

2 972

3 1,944

4 3,888

5 7,776

Function Type: Rate of Change or Growth Factor:

3. Ricon wrote the statements below to help a friend understand what an exponential function is. Select All

of the statements that describe exponential functions?

The number of students joining a group increases by 3% each month.

The number of students joining a group increases by 3 each month.

The amount of money in an account decreases $789 per year.

The amount of money in an account decreases 15% per year.

The number of cells in an experiment doubles every hour.

Name: __________________________________________________

4. Consider the following table:

𝒙 -3 0 3 6 9

𝒑(𝒙) 1

4 2 16 128 1024

Part A: Write the function of the form 𝑝(𝑥) = 𝑎𝑏𝑥 that is modeled by this table.

Part B: Evaluate 𝑝(10).

5. The graph shows the value of two different shares of stock over a period of 8 years. Select all that apply to

this situation.

The model shows that the graph of Stock A is an exponential growth model with the initial value of $4.00 and a growth factor of 0.75.

The value of Stock B is going down over time. The initial value of Stock B is higher than the initial value of Stock A. However, after about 2 years, the value of Stock A becomes more than the value of Stock B.

The model shows that the graph of Stock B is an exponential decay model with the initial value of $12.00 and a decay factor of 0.75.

The model shows that the graph of Stock A is an exponential growth model with the initial value of $4.00 and a growth factor of 1.25.

The model shows that the graph of Stock B is an exponential decay model with the initial value of $12.00 and a decay factor of 0.25.

The model shows that Stock B will double its initial value in about 3 years.

Name: __________________________________________________

MAFS.912.F-LE.2.5

1. A satellite television company charges a one-time installation fee and a monthly service charge. The total cost is modeled by the function 𝑦=40+90𝑥. Which statement represents the meaning of each part of the function? A. 𝑦 is the total cost, 𝑥 is the number of months of service, $90 is the installation fee, and $40 is the

service charge per month. B. 𝑦 is the total cost, 𝑥 is the number of months of service, $40 is the installation fee, and $90 is the

service charge per month. C. 𝑥 is the total cost, 𝑦 is the number of months of service, $40 is the installation fee, and $90 is the

service charge per month. D. 𝑥 is the total cost, 𝑦 is the number of months of service, $90 is the installation fee, and $40 is the

service charge per month.

2. The breakdown of a sample of a chemical compound is represented by the function 𝑝(𝑡) = 300(0.5)𝑡, where 𝑝(𝑡) represents the number of milligrams of the substance and 𝑡 represents the time, in years. In the function 𝑝(𝑡), explain what 0.5 and 300 represent.

3. Two computer equipment rental companies have different penalty policies for returning equipment late, as modeled in the tables. Which statements below are true? Select All that apply.

Company 1’s penalty is doubling each day and 𝑃(𝑑) = 2𝑑.

Company 2’s penalty is doubling each day and 𝑃(𝑑) = 𝑑2.

Company 1’s penalty is $2 per day and 𝑃(𝑑) = 2𝑑.

Company 2’s penalty is $2 for the first day, then doubles each additional day and 𝑃(𝑑) = 2𝑑 .

Company 1 has penalties that grow more quickly.

Company 2 has a greater 10-day penalty.

Name: __________________________________________________

4. Ricon has been asked to increase the number of participants in his school’s volunteer group. In his presentation to the student council he stated that the function below models the group’s growth potential over the next x months. What does the rate of change of Ricon’s function represent?

𝒇(𝒙) = 𝟕𝒙 + 𝟒𝟓

A. The number of students joining the group each month. B. The number of students currently in the group. C. The total number of students joining the group. D. The number of students in the group after 12 months.

5. Rankin put himself on a strict budget. He made one deposit to an expense account and limited himself to a regular weekly withdrawal amount. The graph below shows Rankin’s expense account.

Part A: What does the 𝑦‐intercept mean in the context of this situation?

Part B: What does the slope mean in the context of this situation?

Part C: What does the 𝑥‐intercept mean in the context of this situation?

Name: __________________________________________________

MAFS.912.F-IF.1.2

1. The value, 𝑉, of an investment is given by the function 𝑉(𝑡), where 𝑡 is the number of years since 1995 and 𝑉 is measured in thousands of dollars. Which equation indicates that the investment had a value of $8,000 in 2005? A. 𝑉(8) = 10 B. 𝑉(10) = 8 C. 𝑉(8,000) = 2005 D. 𝑉(2005) = 8,000

2. Jamie has a plan to save money for a trip. Today, she puts 5 pennies in a jar. Tomorrow, she will put the initial

amount in plus another 5 pennies. Each day she will put 5 pennies more that she put into the jar the day before, as shown in the table.

Day 0 1 2 3

Deposit (pennies) 5 10 15 20

Part A Let 𝑓(𝑑) represent the amount of pennies she puts into the jar on day 𝑑. What does 𝑓(10) = 55 mean? A. Jamie will put 10 pennies in the jar on day 55. B. Jamie will put 55 pennies in the jar on day 10. C. Jamie will have 10 pennies in the jar on day 55. D. Jamie will have 55 pennies in the jar on day 10.

Part B Let 𝑓(𝑑) represent the amount of pennies that Jaime puts into the jar of day 𝑑. Today is day 0. Select the statement that is true. A. 𝑓(𝑑 + 1) = 𝑓(𝑑) B. 𝑓(𝑑 + 1) = 5(𝑓(𝑑)) C. 𝑓(𝑑 + 1) = 𝑓(𝑑) + 1 D. 𝑓(𝑑 + 1) = 𝑓(𝑑) + 5

3. The graph of 𝑦 = 𝑓(𝑥) is shown.

What is a value of 𝑥 for which 𝑓(𝑥) = 4? A. 1 B. 1.5 C. 4 D. 5

Name: __________________________________________________ 4. The cost of renting a DVD is $1.50 per day (𝑑). Which function represents the cost of renting the DVD?

A. 𝑓(𝑑) = 1.50 + 𝑑

B. 𝑓(𝑑) = 𝑑

1.50

C. 𝑓(𝑑) = 1.50𝑑

D. 𝑓(𝑑) = 1.50

𝑑

5. If 𝑓(𝑎) = 4𝑎 − 5, what is 𝑓(3) – 𝑓(1.25)?

A. -8 B. 7 C. 17 D. 32

6. The graph of exponential function 𝑓(𝑥) is shown.

What is the value of 𝑓(6)?

Name: __________________________________________________

MAFS.912.F-IF.1.1

1. Given the relation: 𝑅 = {(−2,3), (𝑎, 4), (1,9), (0,7)}. Which replacement for a makes this relation a function? A. 1 B. 2 C. 0 D. 4

2. Which graph represents a function?

A.

B.

C.

D.

3. What is the domain of the function shown below?

A. −1 ≤ 𝑥 ≤ 6 B. −1 ≤ 𝑦 ≤ 6 C. −2 ≤ 𝑥 ≤ 5 D. −1 ≤ 𝑦 ≤ 6

Name: __________________________________________________

4. Data collected during an experiment are shown in the accompanying graph.

What is the range of this set of data? A. 2.5 ≤ 𝑦 ≤ 9.5 B. 2.5 ≤ 𝑥 ≤ 9.5 C. 0 ≤ 𝑦 ≤ 100 D. 0 ≤ 𝑥 ≤ 100

5. The effect of pH on the action of a certain enzyme is shown on the accompanying graph.

What is the domain of this function? A. 4 ≤ 𝑥 ≤ 13 B. 4 ≤ 𝑦 ≤ 13 C. 𝑥 ≥ 0 D. 𝑦 ≥ 0

6. What is the range of the function shown below?

A. 𝑥 ≤ 0 B. 𝑥 ≥ 0 C. 𝑦 ≤ 0 D. 𝑦 ≥ 0

Name: __________________________________________________

MAFS.912.F-IF.2.5

1. Which domain would be the most appropriate set to use for a function that predicts the number of household online-devices in terms of the number of people in the household? A. Integers B. whole numbers C. irrational numbers D. rational numbers

2. The number of ferryboat trips, 𝑓(𝑐), needed to transport 𝑐 cars in 1 day can be found using the function 𝑓(𝑐) =𝑐

20.

If there are no more than 5,000 cars transported by ferryboat daily, what is the range of the function for this situation? A. The set of all integers greater than or equal to 5,000 B. The set of all integers from 0 to 5,000 C. The set of all integers greater than or equal to 250 D. The set of all integers from 0 to 250

3. A vacation home in Orlando, FL rents for $105 per day. The function 𝑓(𝑥) = 105𝑥 gives the cost of renting the home for 𝑥 days. What is the domain of this function? A. 𝑥 ≥ 0 B. {0, 1, 2, 3, … } C. {0, 105, 210, 315, … } D. 𝑎𝑙𝑙 𝑟𝑒𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟𝑠

4. Darius started his baseball card collection with 7 cards that he got from his dad. He bought 1 pack of cards each month for 20 years. After 1 year he had 79 cards in his collection. Darius gave his entire collection to his son 20 years after he got it from his dad. Which of the following is the domain of the function representing the number of baseball cards in Darius’s collection? A. 7 < 𝑥 < 1,580 B. 7 < 𝑥 < 1,447 C. 0 < 𝑥 < 21 D. 0 < 𝑥 < 20

5. Russell made a graph for a project which shows the relationship between the time in seconds, 𝑥, that a

football is in the air after it is thrown and the number of feet, 𝑓(𝑥), the football travels. Which of the following is the most appropriate domain for Russel’s graph? A. 𝑥 < ∞ B. 𝑥 > 0 C. 0 < 𝑥 < 10 D. 0 < 𝑥 < 100

Name: __________________________________________________

MAFS.912.F-IF.2.6 1. The Jamison family kept a log of the distance they traveled during a trip, as represented by the graph

below.

During which interval was their average speed the greatest?

A. The first hour to the second hour

B. The second hour to the fourth hour

C. The sixth hour to the eighth hour

D. The eighth hour to the tenth hour

2. The table below shows the average diameter of a pupil in a person’s eye as he or she grows older. What is

the average rate of change, in millimeters per year, of a person’s pupil diameter from age 20 to age 80?

A. 2.4

B. 0.04

C. -2.4

D. -0.04

Name: __________________________________________________

3. Maria is riding her bike through the Red Rock Loop. Maria recorded her distance traveled at five different

points during her bike ride. The table of values below shows the results of her bike ride.

In which interval is the average rate of change the greatest?

A. 44−60 𝑚𝑖𝑛𝑢𝑡𝑒𝑠

B. 15−44 𝑚𝑖𝑛𝑢𝑡𝑒𝑠

C. 7−15 𝑚𝑖𝑛𝑢𝑡𝑒𝑠

D. 0−7 𝑚𝑖𝑛𝑢𝑡𝑒𝑠

4. Anatoly graphed his store’s costs below. Which statement best describes the rate of change in Anatoly’s

graph?

A. Anatoly cost decreased by $800.

B. Anatoly’s business has a cost of $1,500.

C. Anatoly’s costs decrease by $50 for every unit sold.

D. Anatoly’s costs increase by $200 for every unit sold.

5. A linear function passes through the points (10,5) and (−15,−5). A second function is represented by the

equation 4𝑥 − 3𝑦 = 6. What is the 𝑦 − 𝑖ntercept of the function with the greater rate of change?

Name: __________________________________________________

MAFS.912.S-ID.3.7

1. The equation 𝑦 = −9.49𝑥 + 509.60 gives the price 𝑦 of a particular model of television 𝑥 months after

the television first became available. What is the real-world meaning of the 𝑦 −intercept?

A. The original price of the television was about $9.49.

B. The price of the television decreases by about $9.49 each month.

C. The price of the television increases by about $509.60 each month.

D. The original price of the television was about $509.60.

2. The number of hours spent watching TV the weekend before a math test and the test results for thirteen

students in Mr. Marshall’s class are plotted below and a line of best fit is drawn.

If the equation of the line is 𝑦 = −5.9𝑥 + 91.9, which statement is false?

A. The slope of the line indicates that the test score and time spent watching TV are negatively correlated.

B. The linear model predicts an approximate 6-point drop in test score for one hour spent watching TV.

C. The 𝑦 −intercept of the line indicates that a student who spends no time watching TV will get the

highest test score.

D. The linear model predicts an approximate test score of 92 if no time is spent watching TV.

3. Ben researched the population of his town for each of the last ten years. He created a scatterplot of the

data and noticed that the population increased by about the same amount each year. Ben will determine

the equation of the line of best fit for his data. Which of the following statements about the equation of

the line of best fit is true?

A. The slope is zero.

B. The slope is positive.

C. The slope is negative.

D. The slope is undefined.

Name: __________________________________________________

4. The line graph below displays the average U.S. farm size, in acres, during a 12-year period. During which

years did the average U.S. farm size decrease at a constant rate?

A. Years 1-3

B. Years 3-5

C. Years 5-6

D. Years 6-9

5. The scatterplot below shows the relationship between the outside temperature at noon, in degrees

Fahrenheit, and the number of drinks sold in a park.

Based on the line of best fit for the scatterplot, what number of drinks is expected to be sold in the park

when the outside temperature at noon is 95℉?

A. 250

B. 325

C. 385

D. 500