Coordinate Algebra Milestone Reviewbhsjenkins.weebly.com/uploads/5/7/8/6/57864787/... · Unit 2 A.REI.6 Question 7 Joe spent $7.75 to purchase 23 snacks for the club meeting. Chips

Coordinate Algebra Milestone Review

“Pull-out” Review Materials

Unit 1

Relationships between quantities and expressions

Unit 1 A.CED.1

Question 1

Which of the following tables represents a linear relationship?

a. b. c. x y

1 6

2 9

3 12

4 15

x y

1 6

2 9

3 13.5

4 20.25

x y

1 56

2 28

3 14

4 7

Answer: A

Unit 1 A.CED.1

Question 2

Using the tables from question 1, how do you know which table represents a linear relationship?

a.) When the y-value increases, then the relationship is linear.

b.) When the y-value decreases, then the relationship is linear.

c.) When the slope or rate of change is the same at every point, then the relationship is linear.

d.) You cannot determine from the table if the relationship is linear.

x y

1 6

2 9

3 12

4 15

x y

1 6

2 9

3 13.5

4 20.25

x y

1 56

2 28

3 14

4 7

Answer: C

Unit 1 A.CED.1, A. CED.2

Rachel is getting married, but she is on a budget. She is buying invitations and has narrowed it down to two stores, Party Time and I Do Bridal. Party Time charges a $20 set up fee and then $1.50 per invitation. I Do Bridal charges a $40 set up fee and $1.00 per invitation.

Question 3

Create a mathematical model(equation) to represent the total cost if Rachel bought her invitations from Party Time. Let x represent the number of invitations.

a) Party Time cost = 20x

b) Party Time cost = 20+1.5x

c) Party Time cost = 1.5x

d) Party Time cost = 40 + 1.5xAnswer: B

Unit 1 A.CED.1, A. CED.2


Question 4

Create a mathematical model(equation) to represent the total cost if Rachel bought her invitations from I Do Bridal. Let x represent the number of invitations.

a) I Do Bridal cost = x

b) I Do Bridal cost = 40x

c) I Do Bridal cost = x + 40

d) I Do Bridal cost = 20 + xAnswer: C

Unit 1 A.CED.3


Question 5

If Rachel had a small wedding and only needed 35 invitations, which store would you recommend to her and why?

a) I Do Bridal because it is cheaper that Party Time if Rachel buys less that 40 invitations.

b) I Do Bridal because it will always be cheaper than Party Time

c) Party Time because it is cheaper than I Do Bridal if Rachel buys less than 40 invitations.

d) It does not matter because they would both cost the same. Answer: C

Unit 1 A.CED.3


Question 6

Write an inequality to represent when it would be cheaper to use I Do Bridal. Let x represent the number of invitations.

a) X > 40

b) X < 40

c) X ≥ 40

d) X ≤ 40Answer: A

Unit 1 A.CED.3

Question 7

The sum of two times an integer and 64 is less than 100. What is the greatest number that integer can be?

a) 0

b) 18

c) 20

d) 17

Answer: D

Unit 1 A.CED.3

Question 8

Ryan and Rhonda went on a road trip. They drove a total of 90 miles. Ryan drove the car twice as many miles as Rhonda drove the car. For how many miles did Ryan drive?

a) 30 miles

b) 90 miles

c) 60 miles

d) 120 miles

Answer: C

Unit 1 A.CED.2

Question 9

The relationship in the following table is linear. Determine the equation of this line.

a) 𝑦 = −4𝑥 + 22

b) 𝑦 = 𝑥 − 4

c) 𝑦 = 4𝑥 + 10

d) 𝑦 = 𝑥 + 7

Answer: A

X Y

3 10

4 6

5 X

6 -2

Unit 1 N.Q.2, N.Q.3

Question 10

It takes Darren 3 hours and 10 minutes to get home from college. Lexie’s drive is one hour and 30 minutes shorter than Darren’s. How many more minutes does Darren have to drive than Lexie?

a) 90 minutes

b) 100 minutes

c) 60 minutes

d) 30 minutes

Answer: B

Unit 1 A.CED.2

Kaycie has just bought a new candle. It is 20cm tall. The box says that the candle burns 1.5cm per hour that it is lit.

Question 11

How long will it take the candle to burn all the way down?

a) Between 10 and 11 minutes

b) Between 15 and 16 minutes

c) Between 13 and 14 minutes

d) Between 7 and 8 hours

Answer: C

Unit 1 A.CED.2

Kaycie has just bought a new candle. It is 20cm tall. The box says that the candle burns 1.5cm per hour that it is lit.

Question 12

Create an equation that represents the height of the candle over time. Let x be the number of hours.

a) ℎ𝑒𝑖𝑔ℎ𝑡 = 1.5𝑥

b) ℎ𝑒𝑖𝑔ℎ𝑡 = 20 + 1.5𝑥

c) ℎ𝑒𝑖𝑔ℎ𝑡 = 20𝑥

d) ℎ𝑒𝑖𝑔ℎ𝑡 = 20 − 1.5𝑥 Answer: D

Unit 1 A.CED.2

Question 13

Johnny mows lawns to earn some extra money during summer. He charges $5 per hour. Write an equation to represent the relationship between the number of hours and the total cost.

a) 𝑦 = 5

b) 𝑦 = 5𝑥

c) 𝑦 = 𝑥 + 5

d) 𝑦 = −5

Answer: B

Unit 1 A.CED.2

Question 14

Tonya wants to join a gym and goes to the BodyPlex down the street to do some research. She finds that they are doing a special. If she joins today, then it will only cost her $10 membership fee and then $15 per month. Create an equation to represent the relationship between the number of months and total cost.

a) 𝑦 = 15 + 10𝑥

b) 𝑦 = 15𝑥

c) 𝑦 = 10𝑥

d) 𝑦 = 10 + 15𝑥

Answer: D

Unit 1 A.CED.1

Question 15

Solve for x: 4𝑥 − 2 = 5𝑥 + 8

a) 𝑥 = −10

b) 𝑥 = 6

c) 𝑥 = 10

d) 𝑥 =2

3

Answer: A

Unit 1 A.CED.1

Question 16

Solve the following inequality for y : −2𝑦 + 1 < 17

a) 𝑦 = −8

b) 𝑦 < −8

c) 𝑦 < 8

d) 𝑦 > −8

Answer: D

Unit 1 A.CED.1

Question 17

Solve this equation : 7𝑦 + 1 = 29

a) 𝑦 = 7

b) 𝑦 =30

7

c) 𝑦 = 4

d) 𝑦 = 3

Answer: C

Unit 1 A.CED.1

Question 18

What is the greatest integer that x can be to satisfy the following inequality?

3𝑥 − 5 ≤ 13

a) 6

b) 5

c) 13

d) 3

Answer: A

Unit 1 A.CED.4

Question 19

The formula for the area of a triangle is 𝐴 =𝑏ℎ

2, where b is the base and h is the

height. Rearrange this formula to highlight b.

a) 2𝐴 − ℎ = 𝑏

b)2𝐴

ℎ= b

c)2𝐴

𝑏= h

d)𝐴

ℎ= b

Answer: B

Unit 1 A.CED.4

Question 20

Jackie is baffled by the formula she was told to rearrange. It is the formula for the perimeter of a rectangle: 𝑃 = 2𝑙 + 2𝑤, where l in the length and w is the width. Jackie is supposed to solve for w. Help her out by telling her the first thing she should do.

a) She should subtract 2l from both sides.

b) She should subtract 2w from both sides.

c) She should divide by l on both sides.

d) This formula can NOT be rearranged to solve for w.

Answer: A

Unit 1 A.CED.1

Question 21

Which equation represents the phrase “ six more than twice a number is 72”?

a) 6 + 𝑥 = 72

b) 2𝑥 = 6 + 72

c) 2 + 6𝑥 = 72

d) 6 + 2𝑥 = 72

Answer: D

Unit 1 Constructed Response

You drain a 200-liter aquarium at a constant rate of 20 liters per minute.

a) What is the independent quantity?

b) What is the dependent quantity?

c) Draw a graphical representation of the situation above. Be sure to show the independent quantity on the x-axis and the dependent quantity on the y-axis.

Time – number of minutes

Total amount of water in liters

Answer on next slide

Time (in minutes)

Wat

er le

ft in

aq

uar

ium

(in

lite

rs)

Unit 2

Reasoning with Equations and Inequalities

Unit 2 A.REI.12

Question 1

If you were to graph the following inequality on the coordinate plane, would the line be a dashed line or a solid line? Why?

a) A solid line because the inequality is less than.

b) A dashed line because you always use a dashed line.

c) A solid line because the inequality does NOT equal the line at any point.

d) A dashed line because the inequality is less than and it is NOT a part of the solution.

Answer: D

𝑦 < 2𝑥 + 1

Unit 2 A.REI.12

Question 2

Which of the following graphs represents the solutions to the inequality below?

Answer: C

𝑦 ≥ −2𝑥 + 5

Unit 2 A.REI.6

Question 3

Solve the system of equations using the elimination method.𝑥 − 𝑦 = 112𝑥 + 𝑦 = 19

a) (2, 19)

b) (10, 12)

c) (1, 10)

d) (10, -1)

Answer: D

Unit 2 A.REI.6

Question 4

Below is a graph of two lines. What is the solution of these two lines?

a) (1, 0)

b) (0, -1)

c) (4, 3)

d) There is not a solution

Answer: D

Unit 2 A.REI.6

Question 5

Solve the following systems of equations by substitution. 𝑦 = −3𝑥 + 5

5𝑥 − 4𝑦 = −3

a) (-23

17, 154

17)

b) (2, 1)

c) (1, 2)

d) ( 23

7, -

34

7)

Answer: C

Unit 2 A.REI.3

Question 6

Jasmine and her sister are saving to buy an Amazon Echo Dot. Jasmine has $50 and plans to save $10 per week. Her sister has $7 per week. In how many weeks will Jasmine have more money than her sister?

a) 2 weeks

b) 4 weeks

c) 10 weeks

d) 11 weeks

Answer: D

Unit 2 A.REI.6

Question 7

Joe spent $7.75 to purchase 23 snacks for the club meeting. Chips are 25 cents each and pretzels are 50 cents each. How many of each type of snack did Joe buy?

a) 8 bags of chips and 15 bags of pretzels

b) 15 bags of chips and 8 bags of pretzels

c) 11 bags of chips and 12 bags of pretzels

d) 12 bags of chips and 11 bags of pretzels

Answer: B

Unit 2 A.REI.3

Question 8

Solve the following equation: −10 𝑥 − 1 = 10 − 10𝑥

a) No solution

b) All real numbers

c) 𝑥 = −1

d) 𝑥 = 0

Answer: D

Unit 2 A.REI.6

Question 9

The Martins keep goats and chickens on their farm. If there are 23 animals with a total of 74 legs, how many of each type of animal are there?

a) 14 chickens and 9 goats

b) 19 chickens and 4 goats

c) 9 chickens ad 14 goats

d) 4 chickens and 19 goats

Answer: C

Unit 2 A.REI.6

Question 10

A printing company will charge $6 plus $0.07 per page. Another company will charge $24 plus $0.04 per page for the same project. For how many pages will the costs be the same regardless of which company is used?

a) 330

b) 400

c) 600

d) 1000

Answer: C

Unit 2 A.REI.6

Question 11

Mary babysits for $4 per hour. She also works as a tutor for $7 per hour. She is only allowed to work 13 hours per week. She wants to make at least $65 per week. Write a system of inequalities to represent this situation.

a) 𝑥 + 𝑦 ≤ 13 𝑎𝑛𝑑 4𝑥 + 7𝑦 ≤ 65

b) 𝑥 + 𝑦 ≤ 13 𝑎𝑛𝑑 4𝑥 + 7𝑦 ≥ 65

c) 𝑥 + 𝑦 ≤ 13 𝑎𝑛𝑑 4𝑥 + 7𝑦 < 65

d) 𝑥 + 𝑦 ≥ 13 𝑎𝑛𝑑 4𝑥 + 7𝑦 ≤ 65

Answer: B

Unit 2 Constructed Response

Car rental company A charges $ 10 per day plus a one-time $10 rental fee. Car rental company B charges $2 per day plus a one time $50 rental fee.

a) Write an equation for each company’s cost.

b) Using the method of your choice, determine how many days will pass until the cost of both rental company options are the same.

Company A : y = 10x +10Company B : y = 2x +50

5 days

Unit 3

Linear and Exponential Functions

Unit 3 F.IF.1

Question 1

Which of the relations below is a function?

a) 1,1 , 2,1 , 3,1 , 4,1 , 5,1

b) 2,1 , 2,2 , 2,3 , 2,4 , 2,5

c) 0,2 , 0,3 , 0,4 , 0,5 , 0,6

Answer: A

Unit 3 F.IF.1

Question 2

Which of the relations below is a function?

A B C D

Answer: D

Unit 3 F.IF.1

Question 3

The graph of a relation is shown below. Is this relation a function?

a) Yes

b) No

c) Cannot be determined

Answer: B

Unit 3 F.IF.1

Question 4

Is the relation depicted in the chart below a function?

a) Yes

b) No

c) Cannot be determined Answer: B

X 0 1 3 5 3 9

Y 8 9 10 6 10 7

Unit 3 F.IF.5

Question 5

Give the domain and range of the relation.

a) D: −5, 0, 4, 6 R: −9, 0, 9, 13

b) D: −5, 4, 6 R: −9, 9, 13

c) D: 4, 6, −5, 9, 13,−9 R: 0

d) D: −9, 0, 9, 13 R: −5, 0, 4, 6

Answer: A

X Y

4 9

6 13

0 0

-5 -9

Unit 3 BF.1

Question 6

Determine the relationship between x and y-values. Write the equation.

a) 𝑦 = −𝑥 − 5

b) 𝑦 = −5𝑥 + 1

c) 𝑦 = 𝑥 − 2

d) 𝑦 = 𝑥 − 5 Answer: D

X 1 2 3 4

Y -4 -3 -2 -1

Unit 3 F.IF.1, 2

Question 7

𝐹𝑜𝑟 𝑓 𝑥 = −5𝑥 − 3, 𝑓𝑖𝑛𝑑 𝑓 1 .

a) 10

b) 2

c) −13

d) −8 Answer: D

Unit 3 F.IF.1, 2

Question 8

Let 𝑔 𝑥 𝑏𝑒 𝑡ℎ𝑒 𝑡𝑟𝑎𝑛𝑠𝑓𝑜𝑟𝑚𝑎𝑡𝑖𝑜𝑛,

𝑣𝑒𝑟𝑡𝑖𝑐𝑎𝑙 𝑡𝑟𝑎𝑛𝑠𝑙𝑎𝑡𝑖𝑜𝑛 3 𝑢𝑛𝑖𝑡𝑠 𝑑𝑜𝑤𝑛, 𝑜𝑓 𝑓 𝑥 = −4𝑥 + 8.

Write the rule for 𝑔 𝑥 .

a) 𝑔 𝑥 = −4𝑥 + 8

b) 𝑔 𝑥 = −4𝑥 − 3

c) 𝑔 𝑥 = −4𝑥 + 5

d) 𝑔 𝑥 = 3𝑥 + 8 Answer: C

Unit 3 F.IF.4

Question 9

Find the x and y intercept.

a) 𝑥 − 𝑖𝑛𝑡: −4, 𝑦 − 𝑖𝑛𝑡:−2

b) 𝑥 − 𝑖𝑛𝑡: −4, 𝑦 − 𝑖𝑛𝑡: 2

c) 𝑥 − 𝑖𝑛𝑡: 4, 𝑦 − 𝑖𝑛𝑡: 2

d) 𝑥 − 𝑖𝑛𝑡: 2, 𝑦 − 𝑖𝑛𝑡: −4

Answer: B

Unit 3 F.IF.4

Question 10

Give the domain and range of the functions.

a) D: −2, 4, 5, 9 R: 0, 3, 8

b) D: 0, 3, 8 R: −2, 4, 5, 9

c) D:−2 < 𝑥 < 9 R: 0 < 𝑦 < 8

d) D: 2 < 𝑥 < 9 R: 0 ≤ 𝑦 ≤ 8

Answer: A

-2459

038

Unit 3 F.IF.4

Question 11

Clayton has 65 stamps in his collection. To expand his collection, he is planning to buy some books of stamps that have 16 stamps each. Clayton is not sure yet about the number of books of stamps he wants to buy, but he has enough money to buy up to 5 of them. Write a function to describe how many stamps Clayton can buy. Let x represent the number of books of stamps Clayton can buy.

a) 𝑓 𝑥 = 16𝑥

b) 𝑓 𝑥 = 65𝑥 + 16

c) 𝑓 𝑥 = 65 − 16𝑥

d) 𝑓 𝑥 = 16𝑥 + 65Answer: D

Unit 3 F.IF.4

Question 12

Clayton has 65 stamps in his collection. To expand his collection, he is planning to buy some books of stamps that have 16 stamps each. Clayton is not sure yet about the number of books of stamps he wants to buy, but he has enough money to buy up to 5 of them. Find a reasonable domain and range for the function.

a)D: 0, 1, 2, 3, 4 R: 65, 81, 97, 113

b)D: 5 R: 145

c)D: 1, 2, 3, 4 R: 81, 97, 113,129,145

d)D: 0, 1, 2, 3, 4, 5 R: 65, 81, 97, 113, 129, 145 Answer: D

Unit 3 F.IF.4

Question 13

Find the 23rd term in the arithmetic sequence 3, 11, 19, 27, 35.

a) 179

b) 157

c) 176

d) 187

Answer: A

Unit 3 F.IF.4

Question 14

Sylvie is going on vacation. She has already driven 46 miles in one hour. Her average speed for the rest of the trip is 64 miles per hour. How far will Sylvie have driven 6 hours later?

a) 276 miles

b) 366 miles

c) 384 miles

d) 430 miles

Answer: B

Unit 3 F.IF.4

Question 15

Tell whether the set of ordered pairs 3,−5 , 6, −11 , 9,−17 , (12,−23) satisfies a linear function. Explain.

a) No; there is a constant change in x that corresponds to a constant change in y.

b) No; there is no constant change in x that corresponds to a constant change in y.

c) Yes; there is a constant change in x that corresponds to a constant change in y.

d) Yes; there is no constant change in x that corresponds to a constant change in y.

Answer: C

Unit 3 F.IF.4

Question 16

Find the slope of the line described by 3𝑥 + 4𝑦 = 12.

a) -3

4

b) -4

3

c)3

4

d) 4

3 Answer: A

Unit 3 F.IF.4

Question 17

Find the x and y –intercepts of 2𝑥 – 𝑦 = 10

a) X-int: 5, y-int : -9

b) X-int: 6, y-int : -10

c) X−int: 5, y−int : −10

d) X-int: 6, y-int : -9 Answer: C

Unit 3 F.IF.4

Question 18

Find the slope of the line.

a)2

3

b) -3

2

c) −2

3

d) 1

3

Answer: C

(3, 4)

(6, 2)

Unit 3 F.IF.4

Question 19

Tara creates a budget for her weekly expenses. The graph shows how much money is in the account at different times. Find the slope of the line.

Answer: A

a) The slope is -50.b) The slope is 50c) The slope is -0.02.d) The slope is 0.02

Unit 3 F.IF.4

Question 20

Tara creates a budget for her weekly expenses. The graph shows how much money is in the account at different times. Tell what the slope represents in the context of the situation.

Answer: C

a) The slope means that the amount of money in the account is decreasing at the rate of $50 every 2 weeks.

b) The slope means that the amount of money in the account is increasing by $50 every week.

c) The slope means that the amount of money in the account is decreasing at the rate of $50 per week.

d) The slope means that the amount of money in the account is increasing at the rate of $50 every 2 weeks.

Unit 3 Constructed Response AA manufacturer keeps track of her monthly costs by using a “cost function” that assigns a total cost for a given number of manufactured items, 𝑥. The function is 𝐶 𝑥 = 5,000 + 1.3𝑥.

a) Can any value be found in the domain for the function given above? Explain your reasoning.

b) How would you determine the cost of 2,000 manufactured items?

c) If the costs must be kept below $10,000 this month, what is the greatest number of items that can be manufactured? Show evidence of your reasoning.

NO, there are no negative numbers in the domain.

Plug in 2000 for x. The cost would be $7600.

If you set 5000 + 1.3x <10000, you should get x < 3846.15, which means the greatest number of items would be 3,846.

Unit 3 F.IF.4

Question 21

The water level of a river is 34 feet and it is receding at a rate of 0.5 foot per day. Write and equation that represents the water level, w, after d days.

a) 𝑤 = 34𝑑 + 0.5

b) 𝑤 = −0.5𝑑 − 34

c) 𝑤 = 34𝑑 − 0.5

d) 𝑤 = −0.5𝑑 + 34Answer: D

Unit 3 F.IF.4

Question 22

The water level of a river is 34 feet and it is receding at a rate of 0.5 foot per day. Identify the slope and y-intercept and describe their meanings.

a) The slope is 34 and this is the rate at which the water is receding. The y-intercept is 0.5 and this is the water level after 0 days.

b) The slope is 34 and this is the rate at which the water is receding.

The y-intercept is -0.5 and this is the water level after 0 days.

c) The slope is -0.5 and this is the rate at which the water is receding. The y-intercept is 34 and this is the water level after 0 days.

d) The slope is 0.5 and this is the rate at which the water is receding.The y-intercept is 34 and this is the water level after 0 days.

Answer: C

Unit 3 F.IF.4

Question 23

The water level of a river is 34 feet and it is receding at a rate of 0.5 foot per day. In how many days will the water level be at 26 feet.

a) In 16 days the water will be at 26 feet.

b) In 0.5 days the water will be at 26 feet.

c) In 60 days the water will be at 26 feet.

d) In 100 days the water will be at 26 feet.

Answer: A

Unit 3 F.IF.4

Question 24

Let 𝑔(𝑥)be the transformation, vertical translation 4 units down, of 𝑓 𝑥 = 𝑥 − 2. Write the rule for 𝑔(𝑥).

a) 𝑔 𝑥 = 𝑥 − 2

b) 𝑔 𝑥 = 4𝑥 − 2

c) 𝑔 𝑥 = 𝑥 − 6

d) 𝑔 𝑥 = x − 4

Answer: C

Unit 3 F.BF.1, F.BF.1a, F.IF.3

Question 25

Carlos begins with 8 baseball cards in his collection. Each month he increases his collection by 2 baseball cards. The table below shows the month number and number of cards. Express the function of Carlos’ baseball cards as a sequence in explicit form.

a) 𝑎𝑛 = 2𝑛 + 6

b) 𝑎𝑛 = 𝑛 + 2

c) 𝑎𝑛 = 𝑛 + 8

d) 𝑎𝑛 = 2𝑛 + 8

Answer: A

Month Number Number of Baseball Cards

1 8

2 10

3 12

4 14

Unit 3 F.BF.1, F.BF.1a, F.IF.3

Question 26

Carlos begins with 8 baseball cards in his collection. Each month he increases his collection by 2 baseball cards. The table below shows the month number and number of cards. Express the function of Carlos’ baseball cards as a sequence in recursive form.

a) 𝑎𝑛 = 𝑎𝑛−1 + 6

b) 𝑎𝑛 = 2𝑎𝑛−1 + 6

c) 𝑎𝑛 = 𝑎𝑛−1 + 2

d) 𝑎𝑛 = 2𝑎𝑛−1

Answer: C

Month Number Number of Baseball Cards

1 8

2 10

3 12

4 14

Unit 3 F.BF.2

Question 27

Given the recursive form of the following function, determine the first 4 terms in the sequence. 𝑎1= 1 𝑎𝑛 = 3𝑎𝑛−1

a) 1, 3, 6, 9

b) 1, 3, 9, 27

c) 1, 2, 3, 4

d) 1, 4, 7, 10

Answer: B

Unit 3 F.BF.2

Question 28

Given the explicit form of the following function, determine the first 4 terms in the sequence. 𝑎𝑛 = −𝑛 + 3

a) 3, 2, 1, 0

b) -1, 2, 5, 8

c) 2, 1, 0, -1

d) 1, 2, 3, 4

Answer: B

Unit 3 F.BF.1, F.BF.1a, F.1f.7e, F.LE.1, F.LE.2

Question 29

John took a sample of water from the pond behind his house. On the first day, he found 1 bacteria in the sample. Each day that amount tripled. The table for one week of bacteria growth in the sample is shown below.

Can this problem situation be described as a linear function

or exponential function? How can you tell?

a) Linear, because the common ratio is 3.

b) Linear, because the common difference is 3.

c) Exponential, because the common ratio is 3.

d)Exponential, because the common difference is 3.Answer: C

Day Number of Bacteria

1 1

2 3

3 9

4 27

5 81

6 243

7 729


Question 30


Write an explicit rule for the problem situation from above.

a)𝑎𝑛 = 3𝑛−1

b) 𝑎𝑛 = 3𝑛

c) 𝑎𝑛 = 1𝑛−1

d) 𝑎𝑛 = 3𝑛−1 + 1

Answer: A


1 1

2 3

3 9

4 27

5 81

6 243

7 729


Question 31


Write a recursive rule for the problem situation from above.

a)𝑎𝑛 = 9𝑎𝑛−1

b) 𝑎𝑛 = 3𝑎𝑛−1

c) 𝑎𝑛 = 𝑎𝑛−1 + 3

d) 𝑎𝑛 = 𝑎𝑛−1 − 3

Answer: B


1 1

2 3

3 9

4 27

5 81

6 243

7 729


Question 32

Answer: B

The following two functions are graphed. 𝑓 𝑥 = 4𝑥 + 4 𝑎𝑛𝑑 𝑔 𝑥 = 2𝑥+ 3

What type of function is f(x) and how do you know?a) Exponential, because there is an x in the equation.b) Linear, because the rate of change is constant.c) Exponential, because the variable is exponent.d) Linear, because there is an x in the equation.

g(x)

f(x)


Question 33

Answer: B


Which one of the following characteristics is true for both f(x) and g(x).a) They both have a constant rate of change.b) They both have a y-intercept of (0,4).c) They both are decreasing over all x-values.d) They both have a range of all real numbers.

g(x)

f(x)


Question 34

Answer: B


What is the range of g(x)?a) [3, ∞)b) (3, ∞)c) All real numbers.d) (0, ∞)

𝑔(𝑥)

𝑓(𝑥)

Unit 3 F.BF.1b

Question 35

Given the functions 𝑓(𝑥) = 5𝑥 − 2 and 𝑔(𝑥) = 4𝑥 , find 𝑓(3) + 𝑔(2).

a) 29

b) 3

c) 72

d) 56

Answer: A

Unit 3 F.BF.1b

Question 36

Given the functions 𝑓(𝑥) = 5𝑥 − 2 and 𝑔(𝑥) = 4𝑥 , find 3𝑔(1) – 4𝑓(2).

a) 0

b) 44

c) 20

d) -20

Answer: D

Unit 3 F.BF.1b

Question 37

Given the functions 𝑓(𝑥) = 5𝑥 − 2 and 𝑔(𝑥) = 4𝑥 , find 𝑓(𝑥) + 𝑔(𝑥).

a) 𝑥 − 2

b) 5𝑥 + 4𝑥 − 2

c) 5𝑥 + 4𝑥

d) 5𝑥 – 2 − 4𝑥

Answer: D

Unit 3 F.BF.1b

Question 38

Sarah graphed the equations, 𝑓(𝑥) = 3𝑥 on the coordinate plane below. Her partner graphed 𝑔(𝑥) on the same coordinate plane below. Find the function equation for 𝑔(𝑥).

a) 𝑔(𝑥) = 3𝑥 + 4

b) 𝑔(𝑥) = 3𝑥 − 4

c) 𝑔(𝑥) = 4 ∗ 3𝑥

d) 𝑔(𝑥) = 3𝑥

Answer: A

𝑓(𝑥)𝑔(𝑥)

Unit 3 F.BF.1b

Question 39

Given the function 𝑓(𝑥) = 2𝑥, find the function for 𝑔(𝑥).

a) 𝑔(𝑥) = 2𝑥

b) 𝑔(𝑥) = 2𝑥 + 4

c) 𝑔(𝑥) = 2𝑥− 4

d) 𝑔(𝑥) = 4 ∗ 2𝑥

Answer: C

𝑓(𝑥)𝑔(𝑥)

Unit 3 F.BF.1b

Question 40

If the original function is 𝑓(𝑥) = 2𝑥 and you shifted it to the right 5 units what would the correct equation for the new transformed function?

a) 𝑔 𝑥 = 2𝑥 − 5

b) 𝑔(𝑥) = −5 ∗ 2𝑥

c) 𝑔(𝑥) = 2𝑥− 5

d) 𝑔(𝑥) = 2𝑥+ 5

Answer: C

Unit 3 A.REI.10, A.REI.11, F.IF.2, F.IF.7, F.IF.9, F.BF.1

Question 41

Forevermore is a band made up of 3 of your friends. They going on tour and want to order t-shirts for the tour. They found two companies that will make t-shirts. Company A charges $100 to make the initial t-shirt design and $3 per shirt. Company B charges $5 per shirt with no fee to make the design.

Which equation represents the total cost, C, of using Company A if x represents the total number of t-shirts produced?

a) 𝐶 = 100𝑥 + 3

b) 𝐶 = 3𝑥 + 100

c) 𝐶 = 5𝑥 + 100

d) 𝐶 = 105𝑥

Answer: B


Question 42


Give the total cost Forevermore must pay if they order 75 t-shirts using each company.

a) Company A: $7,503 ; Company B: $7,875

b) Company A: $225 ; Company B: $75

c) Company A: $325 ; Company B: $375

d) Company A: $400 ; Company B: $500

Answer: C


Question 42


Which table shows the correct values for Company A?

a) b) c)

Answer: B

Number of t-shirts

Total Cost

0 0

25 125

50 250

75 375

100 500

Number of t-shirts

Total Cost

0 100

25 175

50 250

75 325

100 400

Number of t-shirts

Total Cost

0 125

25 200

50 275

75 350

100 425


Question 43


Which of the following is false about the graphs of the number of t-shirts and the total cost for each company?

a) Both graphs have a positive rate of change.

b) Company A has a y-intercept at (0,100) and Company B has a y-intercept at (0,0).

c) Their intersection point is where the amount of t-shirts ordered cost the same for each company.

d) The graphs do not intersect.

Answer: D


Question 44


If you are ordering more that 50 t-shirts, which company would be the cheapest?

a) Company A

b) Company B

c) They are both the same.

d) You cannot order more that 50 t-shirts.

Answer: A


Question 45

Which mapping represents a function?

a) Mapping A

b) Mapping B

c) They both represent a function.

d) Neither one represents a function.

Answer: A

-2561

Mapping A

3-1-45

Mapping B

3-278

-17943

Unit 3 F.IF.1, F.IF.2

Question 46

Given functions 𝑓 𝑥 = 3𝑥 − 1 and 𝑔 𝑥 = 2𝑥.

Find 𝑓(−2)

a) 8

b) -7

c) 3m -1

d) None of the above.

Answer: B


Question 47


Find g(3)

a) 8

b) -7

c) 3m -1


Answer: A


Question 47


Find 𝑓(𝑚)

a) 8

b) -7

c) 3m -1


Answer: C

Unit 3 F.LE.1

Question 48

Which of the following models an exponential function?

a) Stu gets paid $12 per hour to cut grass.

b) A pool pumps out water at 700 gallons per minute.

c) A culture of bacteria doubles every half hour.

d) You lose $5 for every math question you miss.

Answer: C

Unit 3 F.LE.1

Question 49

Given the function 𝑓 𝑥 =1

2𝑥 − 2, the rate of change is _____________.

a) Constant

b) Variable

c) Neither variable or constant

d) Both variable and constant

Answer: A

Unit 3 F.LE.1

Question 50

Given the function 𝑓 𝑥 =1

2𝑥 − 2, describe the end behavior on the right side of 𝑓(𝑥).

a) As x increases, f(x) increases towards infinity

b) As x increases, f(x) decreases towards negative infinity

c) There is no way to tell the end behavior without a graph.

d) This function has no end behavior.

Answer: B

Unit 3 Constructed Response BA zoologist keeps track of the number of panda bears born in the wild with the function P 𝑥 = 4 ∙ 2𝑥 , where 𝑥 is the number of years and 𝑃(𝑥)is the number of pandas in the wild.a) Can any value be found in the domain for the function given above? Explain your reasoning.

b) Determine the number of pandas in 5 years.

c) What is the smallest amount of years it would take to have over 500 pandas? Show evidence of your reasoning.

NO, there are no negative numbers in the domain.

Plug in 5 for x. The number of pandas would be 128.

You would have to plug in values for x until you reached above 500. It would take 7 years.

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Coordinate Algebra Milestone Reviewbhsjenkins.weebly.com/uploads/5/7/8/6/57864787/... · Unit 2 A.REI.6 Question 7 Joe spent $7.75 to purchase 23 snacks for the club meeting. Chips