Algebra 1

Algebra and Modeling

Day 1

MAFS.912.A-APR.1.1

D

Which expression is equivalent to 2 3𝑔 − 4 − 8𝑔 + 3 ?

A. −2g − 1B. −2g − 5C. −2g − 7D. −2g − 11

MAFS.912.A-APR.1.1

𝑘2 − 13𝑘 + 15

Simplify: 3 3𝑘2 − 4𝐾 + 6 − 8𝑘2 + 𝑘 + 3 ?

MAFS.912.A-APR.1.1

Write an expression which is equivalent to 𝑤(4𝑤3 + 8𝑤4) – (5𝑤3 – 2𝑤5)

10w5 + 4w4 – 5w3

MAFS.912.A-APR.1.1

10𝑥2 − 3𝑥 − 18

Multiply and combine like terms to determine the product of these polynomials.

2𝑥 − 3 5𝑥 + 6

Which expression is equivalent to −2𝑛 3𝑚 + 𝑛 –7 + 3 −6𝑚 + 2𝑛 +𝑚 𝑛 + 4𝑚 – 5 ?

A. 4𝑚2 – 5𝑚𝑛 – 23𝑚 + 22𝑛

B. 4𝑚2 + 2𝑛2 – 5𝑚𝑛 – 23𝑚 – 8𝑛

C. 4𝑚2 – 2𝑛2 – 5𝑚𝑛 – 23𝑚 + 20𝑛

D. 4𝑚2 – 2𝑛2 – 6𝑚𝑛 – 23𝑚 + 20𝑛

MAFS.912.A-APR.1.1

C

Find the area of the shaded region of the square, with side length 2𝑥 – 3, if each of

the ovals has an area of 𝑥 − 5 square inches.

MAFS.912.A-APR.1.1

4𝑥2 − 14𝑥 + 19

Howard County Public Schools Office of Secondary Mathematics Curricular Projects has licensed this product under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License

Consider the polynomial:

2

3𝑥(2𝑥 + 3) − 𝑥 + 7 𝑥 − 7

When simplified, what is the coefficient of the quadratic term?

MAFS.912.A-APR.1.1

1

3

Multiply and combine like terms to determine the product of these polynomials.

(−2𝑥 − 3)(2𝑥2 − 𝑥 + 1)(𝑥 − 2)

MAFS.912.A-APR.1.1

−4𝑥4 + 4𝑥3 + 9𝑥2 − 5𝑥 + 6

Kiera claimed that the sum of two linear polynomials with rational coefficients is

always a linear polynomial with rational coefficients.

Drag the six statements into a logical sequence to outline an argument that proves

this claim.

MAFS.912.A-APR.1.1

MAFS.912.A-CED.1.1

A parking garage charges a base rate of $3.50 for up to 2 hours, and an hourly rate

for each additional hour. The sign below gives the prices for up to 5 hours of parking.

A. 9.00 + 3𝑥 = 20.00

B. 9.00 + 3.50𝑥 = 20.00

C. 2𝑥 + 3.50 = 14.50

D. 2𝑥 + 9.00 = 14.50 C

Which linear equation can be used to find x, the additional hourly parking rate?

MAFS.912.A-CED.1.1

Kyran was given a check for $100 by his grandmother for his birthday, but had to

promise her that he would invest the money in a bank until it had at least doubled

in value. Kyran agreed, reluctantly, and found a bank where he could invest the

$100 in a simple interest account that would gain 5% interest per year. If 𝑦represents the number of years that Kyran will invest his money, which inequality

could be used to find when he would have at least $200 in his account?

A. 200 < 100 1 + 0.05𝑦

B. 200 ≤ 100(1 + 0.05𝑦)

C. 200 > 100 1 + 0.05𝑦

D. 200 ≥ 100(1 + 0.05𝑦)

B

A sales clerk’s daily earnings include $125 per day plus commission equal to 𝑥percent of his daily sales.

Enter an equation that can be used to find the commission percentage (𝑥), if the

clerk’s daily sales are $1375 and his total earnings for that day are $180.

MAFS.912.A-CED.1.1

125 +𝑥

100∙ 1375 = 180

MAFS.912.A-CED.1.1

Carmella just planted seeds for her vegetable garden. Anxious to view the progress

of her plants, she checks her garden one afternoon, but sees that 4 weeds she has

never seen before are growing in her vegetable garden. After a few weeks, she

notices that the number of weeds appears to be tripling each week. If she doesn’t

do something, she calculates that there could soon be 972 weeds in her garden. If

𝑤 represents the number of weeks, which equation could be used to determine

what week Carmella would expect to find 972 weeds in her garden:

A. 3𝑤 + 4 = 972

B. 3(4)𝑤= 972

C. 4(3)𝑤= 972

D. 4(𝑤)3= 972

C

MAFS.912.A-CED.1.1

Sam and Jeremy have ages that are consecutive odd integers. The product of

their ages is 783. Which equation could be used to find Jeremy’s age, 𝑗, if he is the

younger man?

A. 𝑗2 + 2 = 783

B. 𝑗2 − 2 = 783

C. 𝑗2 + 2𝑗 = 783

D. 𝑗2 − 2𝑗 = 783

C

MAFS.912.A-CED.1.1

A rectangular garden measures 13 meters by 17 meters and has cement walkway around

its perimeter, as shown. The width of the walkway remains constant on all four sides. The

garden and walkway have a combined area of 396 square meters.

Part A: Enter an equation that can be used to help determine the

width, 𝑤, of the walkway in the first response box.

Part B: Determine the width, in meters, of the walkway. Enter your

answer in the second response box.

(17 + 2𝑤)(13 + 2𝑤) = 396

5

2

MAFS.912.A-CED.1.1

The length of a rectangle is 2 inches more than a number. The width is 1 inch less

than twice the same number. If the area of the rectangle is 42 𝑖𝑛2, find the

dimensions of the rectangle.

Width: 4 in

Length: 4 in

Width: 6 in

Length: 6 in

Width: 7 in

Length: 7 in

Length: 6 in, Width: 7 in

MAFS.912.A-REI.2.3

Enter the value for 𝑥 that makes the given equation true.

20𝑥 − 5 6𝑥 + 4 = 4𝑥 − 6

−1

MAFS.912.A-REI.2.3

What is the solution of 3 2𝑥 − 1 ≤ 4𝑥 + 7?.

𝑥 ≤ 5

MAFS.912.A-REI.2.3

Solve for 𝑥:

3

5𝑥 + 2 = 𝑥 − 4

13

MAFS.912.A-REI.2.3

Solve algebraically for 𝑥:

2 𝑥 − 4 ≥1

2(𝑥 − 4)

𝑥 ≥ 4

MAFS.912.A-REI.2.3

Solve for 𝑥:

(𝑥+4)

2= 4𝑥 − 6

𝐴

A. 𝑥 =16

7

B. 𝑥 =8

3

C. 𝑥 =10

3

D. 𝑥 = 7

MAFS.912.A-REI.2.3

Equivalent equations have exactly the same solution set. Select Yes or No to

indicate whether each equation is equivalent to this equation: 4𝑥 + 3 =5

2𝑥 − 7

Equation Yes No

4𝑥 =5

2𝑥 − 4

8𝑥 + 3 = 5𝑥 − 7

4𝑥 =5

2𝑥 − 10

MAFS.912.A-CED.1.4

Solve 5𝑏 + 12𝑐 = 9 for 𝑏.

A. 𝑏 = 5 12𝑐 − 9

B. 𝑏 = 5 9 − 12𝑐

C. 𝑏 =12𝑐−9

5

D. 𝑏 =9−12𝑐

5

𝐷

MAFS.912.A-CED.1.4

Solve 7𝑥 − 2𝑧 = 4 − 𝑥𝑦 for 𝑥.

𝐷

A. 𝑥 = 4 − 𝑥𝑦 +2𝑧

7

B. 𝑥 =4−𝑥𝑦+2𝑧

7

C. 𝑥 = 4 + 2𝑧 − (7 + 𝑦)

D. 𝑥 =4+2𝑧

(7+𝑦)

MAFS.912.A-CED.1.4

If 𝑟𝑥 − 𝑠𝑡 = 𝑟, which expression represents 𝑥.

𝐴

A.𝑟+𝑠𝑡

𝑟

B.𝑟

𝑟+𝑠𝑡

C.𝑟

𝑟−𝑠𝑡

D.𝑟−𝑠𝑡

𝑟

MAFS.912.A-CED.1.4

If 𝑟𝑥 − 𝑠𝑡 = 𝑟, which expression represents 𝑟.

𝐴

A.𝑠𝑡

(𝑥−𝑟)

B.𝑟+𝑠𝑡

𝑥

C.𝑠𝑡

𝑥

D. 𝑠𝑡 − (𝑥 + 𝑟)

MAFS.912.A-CED.1.2

An elementary school is having sand delivered for the playground. Sadie’s Sand

charges $5.00 per ton of sand plus a delivery fee of $200. Greg’s Sand Pit charges

$12.00 per ton of sand plus a delivery fee of $50.

Use the graph below to represent functions that show the cost C of buying T tons of

sand from each company.

MAFS.912.A-CED.1.2

Emily has a gift certificate for $10 to use at an online store. She can purchase songs

for $1 each or episodes of TV shows for $3 each. She wants to spend exactly $10.

Create an equation to show the relationship between the number of songs, 𝑥, Emily

can purchase and the number of episodes of TV shows, 𝑦, she can purchase.

𝑥 + 3𝑦 = 10

MAFS.912.A-CED.1.2A local coffee company, Netherlanders Sisters, is trying to determine how much it costs to

run a coffee stand for one day. The daily cost to pay employees can be represented by 15𝑥,

the daily cost for ingredients/supplies can be represented by 10𝑥 + 25, and the daily cost to

rent the coffee stand is $200. It has been determined that the product of the daily cost of

employees and the daily cost of ingredients/supplies, plus the daily cost to rent the coffee

stand represents the total cost to run the coffee stand for one day.

Select all of the equations, which could be used to find the daily cost, 𝑑, to run the coffee

stand:

𝑑 = (15𝑥)(10𝑥 + 25) + 200

𝑑 = 15𝑥 + (10𝑥 + 25) + 200

𝑑 = 25𝑥 + 225

𝑑 = 150𝑥2 + 375𝑥 + 200

𝑑 = (15𝑥)(10𝑥 + 25)(200)A and D

MAFS.912.A-CED.1.2

Meredith is purchasing a new toilet for her home. Toilet A costs $149 and uses

approximately 380 gallons of water per month. Toilet B costs $169 and uses

approximately 300 gallons of water per month. Water costs $2.75 per 1000 gallons.

Part A: Write a system of equations that models this situation.

𝐷

Part B: How many months will it take for Toilet B to be more cost effective?

A = 149 + 2.75 ∙ 300 ∙ tB = 169 + 2.75 ∙ 380 ∙ t

A = 149 + 2.75 ∙ 0.3 ∙ tB = 169 + 2.75 ∙ 0.38 ∙ t

A = 149 + 2.75 ∙ 380 ∙ tB = 169 + 2.75 ∙ 300 ∙ t

A = 149 + 2.75 ∙ 0.38 ∙ tB = 169 + 2.75 ∙ 0.3 ∙ t

A.

B.

C.

D.

91

MAFS.912. A-REI.3.5

Which system of equations has the same solution as the system below?𝑥 + 3𝑦 = 6

4𝑥 − 8𝑦 = 4

−5𝑥 + 15𝑦 = 30

5𝑥 − 5𝑦 = 10

5𝑥 + 15𝑦 = 30

5𝑥 − 5𝑦 = 10

−5𝑥 − 15𝑦 = −30

5𝑥 + 𝑦 = 10

−5𝑥 − 15𝑦 = −30

5𝑥 − 5𝑦 = 10

A.

B.

C.

D.

𝐵

MAFS.912.A-CED.1.2

Malik and Nora are playing a video game.

• Malik starts with m points and Nora starts n points.

• Then Malik gets 150 more points, while Nora loses 50 points.

• Finally, Nora gets a bonus and her score is doubled.

• Nora now has 50 more points than Malik.

Write an equation that represents the relationship between 𝑚 and 𝑛 given the information

above.

2 𝑛 − 50 = 𝑚 + 150 + 50

MAFS.912.A-CED.1.2

Maia deposited $5,500 in a bank account. The money earns interest annually, and the interest

is deposited back into her account.

Maia uses an online calculator to determine the amount of money she will have in the account

at the end of each year. The amount of money that Maia will have in her account at the end of

the selected year, up to 6 years, is shown in the table below.

Enter an equation that models the amount of money, y, Maia will have in the account at the

end of 𝑡 years.

𝑦 = 5,500 1.03 𝑡Years Money in Bank

1 5,665.00

2 5,834.95

3 6,009.99

4 6,190.30

5 6,376.01

6 6,567.29

MAFS.912. A-REI.3.5

Mr. Xavier is solving the system of equations 4𝑥 – 3𝑦 = 9 and 2𝑥 + 6𝑦 = 5. Which

system of equations has the same solution as the system that Mr. Xavier is solving?

4𝑥 – 3𝑦 = 9

−19𝑦 = −1

4𝑥 − 3𝑦 = 9

9𝑦 = 19

2𝑥 + 6𝑦 = 5

6𝑥 = 23

2𝑥 + 6𝑦 = 5

10𝑥 = 23

A.

B.

C.

D.

𝐷

MAFS.912. A-REI.3.6

The equations 5𝑥 + 2𝑦 = 48 and 3𝑥 + 2𝑦 = 32 represent the money collected from

school concert ticket sales during two class periods. If 𝑥 represents the cost for

each adult ticket and 𝑦 represents the cost for each student ticket, what is the cost

for each adult ticket?

𝑥 = 8

MAFS.912. A-REI.3.6

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, in dollars, of each lunch special?

7

8

MAFS.912. A-REI.3.6

The basketball team sold t-shirts and hats as a fund-raiser. They sold a total of 23 items

and made a profit of $246. They made a profit of $10 for every t-shirt they sold and $12 for

every hat they sold.

Determine the number of t-shirts and the number of hats the basketball team sold.

• Enter the number of t-shirts in the first response box.

• Enter the number of hats in the second response box.

15

8

MAFS.912. A-REI.4.12

Which is a graph of the solution set of the inequality 3𝑦 – 𝑥 > 6?

A. B. C. D.

𝐶

MAFS.912. A-REI.4.12

Which inequality does this graph represent?

𝐷

A. 𝑦 > 3𝑥 + 2

B. 𝑦 > −3𝑥 – 2

C. 𝑦 < 3𝑥 – 2

D. 𝑦 < −3𝑥 – 2

MAFS.912. A-REI.4.12

Graph the system of inequalities:𝑦 < −5𝑥 − 2

𝑦 ≤ −𝑥 + 2

A. B. C. D.

𝐶

MAFS.912. A-REI.4.12

Determine the solution to the system of inequalities:

3𝑥 + 3𝑦 ≤ 3

𝑥 − 3𝑦 ≥ −6

MAFS.912. A-REI.4.12

The coordinate grid below shows points A through J.

𝑥 + 𝑦 < 3

2𝑥 − 𝑦 > −6

Given the system of inequalities shown below, select

all the points that are solutions to this system of

inequalities.

A

B

C

D

E

F

GA , F, and G

MAFS.912. A-CED.1.3

The number of medals won by an Olympic Team is modeled by 𝑦 = 3𝑥 + 5,

where 𝑥 is the number of athletes. The number of medals for another team is

modeled by 𝑦 = 5𝑥 – 8, where 𝑥 is the number of athletes.

Part A: For what number of athletes would

both teams have the same number of

Olympic medals?

Part B: Is this a viable answer? Explain.

𝑥 =13

2or 𝑥 = 6.5 This answer is not a viable solution

because you cannot have part of an

athlete. 6.5 athletes implies half an

athlete, which is not possible in the

context of the problem.

MAFS.912. A-CED.1.3David has two jobs. He earns $8 per hour babysitting his neighbor’s children and he earns

$11 per hour working at the coffee shop.

8𝑥 + 11𝑦 ≥ 200

Part B: David worked 15 hours at the

coffee shop. Use the inequality to find the

number of full hours he must babysit to

reach his goal of $200.

Part A: Write an inequality to represent the

number of hours, 𝑥, babysitting and the

number of hours, 𝑦, working at the coffee shop

that David will need to work to earn a minimum

of $200.

5

MAFS.912. A-CED.1.3In a community service program, students earn points for painting over graffiti and picking up

trash. The following restrictions are imposed on the program:

• A student may not serve more than 10 total hours per week; and

• A student must serve at least 1 hour per week at each task.

Let 𝑔 = the number of hours a student spends in a week painting over graffiti.

Let 𝑡 = the number of hours a student spends in a week picking up trash.

Part A: Which system represents the imposed

constraints?

ቐ𝑔 + 𝑡 ≤ 10𝑔 ≥ 1𝑡 ≥ 1

ቐ𝑔 + 𝑡 ≤ 10𝑔 ≥ 0𝑡 ≥ 0 A

ቐ𝑔 + 𝑡 ≥ 10𝑔 ≥ 0𝑡 ≥ 0

ቊ𝑔 + 𝑡 < 10

𝑔 = 𝑡

A.

B.

C.

D.

Part B: Which numbers of hours spent painting

over graffiti and hours spent picking up trash could

fit the community service requirements? Select all

that apply.

3 graffiti hours and 4 trash hours

6 graffiti hours and 7 trash hours

8 graffiti hours and 3 trash hours

9 graffiti hours and 1 trash hours

0 graffiti hours and 10 trash hours

5 graffiti hours and 5 trash hoursA, D, and F

MAFS.912. A-REI.1.1

When solving for the value of 𝑥 in the equation 4(𝑥 − 1) + 3 = 18 , Aaron wrote the

following lines on the board.

Step 1 4 𝑥 − 1 + 3 = 18

Step 2 4 𝑥 − 1 = 15

Step 3 4𝑥 − 1 = 15

Step 4 4𝑥 = 16

Step 5 𝑥 = 4

Which property was used incorrectly when going

from Step 2 to Step 3?

A. Addition Property

B. Distributive Property

C. Substitution Property

D. Transitive Property

𝐵

MAFS.912. A-REI.1.1

Martha solved the equation 5 𝑏 + 3 = 𝑏 + 39.

Step 1 5(𝑏 + 3) = 𝑏 + 39

Step 2 5𝑏 + 15 = 𝑏 + 39

Step 3 6𝑏 + 15 = 39

Step 4 6𝑏 = 24

Step 5 𝑏 = 4

Which step is the first incorrect step in Martha’s

solution shown above?

A. Step 2

B. Step 3

C. Step 4

D. Step 5

𝐵

MAFS.912. A-REI.2.4

Which are the solutions to 𝑥2 + 9𝑥 = 36?

A. 𝑥 = −12, 𝑥 = 3

B. 𝑥 = 4, 𝑥 = 9

C. 𝑥 = 12, 𝑥 = −3

D. 𝑥 = −4, 𝑥 = 9

𝐴

MAFS.912. A-REI.2.4

Solve by completing the square:

𝑥2 − 6𝑥 − 4 = 0

A. 3 ± 13

B. −3 ± 2 13

C. 3 ± 2 13

D. −3 ± 13

𝐴

MAFS.912. A-REI. 4.11

The graphs of the functions 𝑓 and 𝑔 are shown

Use the graphs to approximate the solution(s) to the

equation f(𝑥) = 𝑔(𝑥).

- 0.8

2

MAFS.912. A-REI.3.6

Based on the tables, at what point do the lines 𝑦 = –𝑥 + 5 and 𝑦 = 2𝑥 – 1intersect?

𝐶

A. (1, 1)

B. (3, 5)

C. (2, 3)

D. (3, 2)

MAFS.912. A-REI.3.6

Look at the tables of values for two linear functions, 𝑓(𝑥) and 𝑔(𝑥).

What is the solution to 𝑓(𝑥) = 𝑔(𝑥)?

𝑥 = 3

MAFS.912. A-REI.4.10

Choose the ordered pair that is a solution to the equation represented by the

graph.

A. (0, −3)

B. (2, 0)

C. (2, 2)

D. (−3, 0)

𝐷

MAFS.912. A-REI.4.10

Which points are on the graph of the equation 3 − 6𝑥 + 2𝑦 = −5? Select all that

apply.

A, D, and E

(-2, -10)

(-1, 1)

(0, 4)

(4, 8)

(6, 14)

MAFS.912. A-REI.4.10

When is this statement true?

𝑦 = 𝑥2 + 4𝑥 − 1

A. This statement is true for all positive values of 𝑥 only.

B. This statement is true for all negative values of 𝑥 only.

C. This statement is true for the point (1,4).

D. This statement is true for the point (0,0).

𝐶

MAFS.912. A-REI.4.10

For the function 𝑓 𝑥 = 2𝑥 . Is (5, 32) a solution to 𝑓(𝑥)? Explain.

Yes, it is a solution. Two raised to the power of 5 is equal 32.

MAFS.912. A-REI. 4.10

Which point is NOT on the graph represented by 𝑦 = 𝑥2 + 3𝑥 − 6?

A. (−6, 12)

B. (−4,−2)

C. (2, 4)

D. (3, −6)

𝐷

MAFS.912. A-SSE.2.3

Arturo made an error when finding the minimum value of the function

𝑔(𝑥) = 𝑥2 – 6𝑥 + 10. His work is shown below.

𝑔(𝑥) = 𝑥2 – 6𝑥 + 10

𝑔(𝑥) = ( 𝑥2 – 6𝑥 – 9) + 10 + 9

𝑔(𝑥) = (𝑥 – 3)2 + 19

The vertex is (3, 19), so the minimum value is 19.

Describe the error that Arturo made. Then give the correct minimum value of the function.

Write your answer on the lines provided.

To complete the square, Arturo should have added 9 inside the parenthesis

instead of subtracting 9. To keep the equation balanced he should have

subtracted 9 instead of adding it. The correct minimum value of the function is 1.

MAFS.912. A-SSE.2.3

Consider the function f x = 𝑥2 – 6𝑥 + 8.Rewrite the equation to reveal the

zeros of the function.

𝑦 = (𝑥 − 4)(𝑥 − 2)

MAFS.912. A-SSE.2.3

Select all the equations with equivalent zeros.

𝑦 = 𝑥2 + 14

𝑦 = 𝑥2 + 9𝑥 + 14

𝑦 = 𝑥 −9

2

2−

25

4

𝑦 = (𝑥 + 7)(𝑥 + 2)

𝑦 =1

2𝑥 + 7 2𝑥 + 2

B and D

MAFS.912. A-SSE.2.3

Consider the function f x = 𝑥2 – 2𝑥 − 3.Rewrite the equation to reveal the zeros

of the function.

𝑦 = (𝑥 + 1)(𝑥 − 3)

MAFS.912. A-SSE.2.3

Given (𝑥 + 4) is a factor of 2𝑥2 + 11𝑥 + 2𝑚, determine the value of 𝑚.

B

A. Since (𝑥 + 4) is a factor, 𝑚 must be 4.

B. Since (𝑥 + 4) is a factor, 𝑥 = −4. Substitute −4 into 2𝑥2 + 11𝑥 + 2𝑚 = 0and solve for 𝑚 to get 𝑚 = 6.

C. Since (𝑥 + 4) is a factor, 2𝑚 = −4, therefore 𝑚 = −2.

D. Since (𝑥 + 4) is a factor, 𝑥 = 4. Substitute 4 into 2𝑥2 + 11𝑥 + 2𝑚 = 0 and

solve for 𝑚 to get 𝑚 = −38.

MAFS.912. A-SSE.1.1

In the equation 𝑦 = 35 5 𝑥, what value does the 35 represent?

A. 𝑥-intercept

B. Starting value

C.Growth rate

D.Decay rate

𝐵

MAFS.912. A-SSE.1.1

Is the equation 𝐴 = 21000(1 − 0.12)𝑡 a model of exponential growth or exponential

decay, and what is the rate (percent) of change per time period?

A. exponential growth and 12%

B. exponential growth and 88%

C.exponential decay and 12%

D.exponential decay and 88%

𝐷

MAFS.912. A-SSE.1.1

A company uses two different-sized trucks to deliver cement. The first truck can deliver 𝑥

cubic yards at a time and the second 𝑦 cubic yards. The first truck makes 𝑓 trips to a job site,

while the second truck makes 𝑠 trips. What do the following expressions represent in this

context?

The total number of trips both trucks make to the job site.

The total number of cubic yards that the two trucks deliver in

one trip.

The total number of cubic yards delivered to the job site.

𝑓 + 𝑠

𝑥 + 𝑦

𝑥𝑓 + 𝑠𝑦

MAFS.912. A-SSE.1.1

Amy owns a graphic design store. She purchases a new printer to use in her store. The

printer depreciates by a constant rate of 14% per year. The function V = 2,400(1 − 0.14)𝑡 can

be used to model the value of the printer in dollars after 𝑡 years.

Part A: Explain what the parameter 2,400 represents in the equation of the function.

Part C: Amy also considered purchasing a printer that costs $4,000 and depreciates by 25%

each year. Which printer will have more value in 5 years?

The parameter 2,400 represents the initial cost of the printer.

Part B: What is the factor by which the printer depreciates each year?

The factor is 0.86.

The printer that cost $2,400 will have a better value by $179.80

MAFS.912. A.SSE.1.2

Which equation is equivalent to 𝑦 = 3𝑥2 + 6𝑥 + 5?

A. 𝑦 = 3(𝑥 + 3)2 – 9

B. 𝑦 = 3(𝑥 + 3)2– 4

C. 𝑦 = 3(𝑥 + 1)2+ 4

D. 𝑦 = 3(𝑥 + 1)2+ 2

𝐷

MAFS.912. A.SSE.1.2

Which equation is equivalent to (𝑚2−25)?

A. (𝑚2 − 10𝑚 + 25)

B. (𝑚2 + 10𝑚 + 25)

C. 𝑚 − 5 𝑚 + 5

D. (𝑚 − 5)2

𝐶

MAFS.912. A.SSE.1.2

Which equation is equivalent to 121𝑥2 − 64𝑦2?

A. (11𝑥 − 16𝑦)(11𝑥 + 16𝑦)

B. (11𝑥 − 16𝑦)(11𝑥 − 16𝑦)

C. 11𝑥 + 8𝑦 11𝑥 + 8𝑦

D. (11𝑥 + 8𝑦)(11𝑥 − 8𝑦)

𝐷