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WEEK 4-5 WRITING LINEAR EQUATIONS Apr 2, 8:00am – May 18, 2020, 6:00pm TRY YOUR BEST! STAY SAFE! Test Design: Week 4-5 Writing Linear Equations There are no additional instructions for this test. 1) 7% of score Cameron, Greg and Emily are raising money to buy their mom a birthday present. They start a neighborhood dog walking service. They paid $30 for supplies and are charging the owners $2.50 per dog. Which function rule could they use to calculate their profit, p, if they walk d dogs? A. B. C. D. 2) 7% of score Maria is planting iris bulbs. It takes her 15 minutes to find her needed supplies, and it takes 5 minutes to plant each bulb. Using function notation, what is the relationship between the number of bulbs planted, x, and the length of time to complete the job? A. B. C. D. 3) 7% of score What is an equation for the line shown in the graph?
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Week 4-5 Writing Linear Equations - Amazon S3

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Page 1: Week 4-5 Writing Linear Equations - Amazon S3

WEEK 4-5 WRITING LINEAR EQUATIONSApr 2, 8:00am – May 18, 2020, 6:00pmTRY YOUR BEST! STAY SAFE!Test Design: Week 4-5 Writing Linear Equations

There are no additional instructions for this test.

1) 7% of score

Cameron, Greg and Emily are raising money to buy their mom a birthday present. They start a neighborhooddog walking service. They paid $30 for supplies and are charging the owners $2.50 per dog. Which functionrule could they use to calculate their profit, p, if they walk d dogs?

  A.     B.  

  C.     D.  

2) 7% of score

Maria is planting iris bulbs. It takes her 15 minutes to find her needed supplies, and it takes 5 minutes toplant each bulb. Using function notation, what is the relationship between the number of bulbs planted, x,and the length of time to complete the job?

  A.     B.  

  C.     D.  

3) 7% of score

What is an equation for the line shown in the graph?

𝑝 = (2.50 βˆ’ 30)𝑑 𝑝 = 30 βˆ’ 2.50𝑑

𝑝 = 2.50𝑑 βˆ’ 30 𝑝 = 30 + 2.50𝑑

𝑓(π‘₯) = π‘₯ + 17 𝑓(π‘₯) = 5π‘₯ + 15

𝑓(π‘₯) = 15 βˆ’ 5π‘₯ 𝑓(π‘₯) = 15π‘₯ + 5

Page 2: Week 4-5 Writing Linear Equations - Amazon S3

  A.     B.  

  C.     D.  

4) 7% of score

Ethan puts $50 on his school lunch card. He buys the same $5 lunch every day. Which equation shows thebalance, b, on his card in terms of the number, m, of meals he has purchased?

  A.     B.  

  C.     D.  

5) 7% of score

Which equation is shown on the graph?

  A.     B.  

  C.     D.  

6) 7% of score

Which algebraic rule fits the pattern in this table?

Figure Perimeter

0 0

1 4

2 8

3 12

𝑦 = βˆ’2π‘₯ βˆ’ 2 𝑦 = βˆ’ π‘₯ βˆ’ 21

2

𝑦 = π‘₯ βˆ’ 21

2𝑦 = 2π‘₯ βˆ’ 2

𝑏 = 50 βˆ’ 5π‘š 𝑏 = 50 + 5π‘š

𝑏 = 50π‘š + 5 𝑏 = 50π‘š βˆ’ 5

10π‘₯ + 5𝑦 = 5 10π‘₯ + 5𝑦 = βˆ’5

10π‘₯ βˆ’ 5𝑦 = 5 10π‘₯ βˆ’ 5𝑦 = βˆ’5

Page 3: Week 4-5 Writing Linear Equations - Amazon S3

  A.     B.  

  C.     D.  

7) 7% of score

Which of the following equations represents the relationship between the corresponding values of x and yshown in the table?

    x         -3          -1          0          4     

    y         -9          -5          -3          5     

  A.     B.  

  C.     D.  

8) 7% of score

A health club charges a certain monthly rate for membership, plus an initial fee to join. The data in thetable shows the cost of joining the club by month.

Health Club Dues

Months(m) Cost in dollars (d)

3 190

5 250

8 340

What is the equation of a line that fits the data?

  A.     B.  

  C.     D.  

9) 7% of score

Which linear function does this graph represent?

𝑦 = π‘₯ + 4 𝑦 = π‘₯2

𝑦 = 4π‘₯ + 4 𝑦 = 4π‘₯

𝑦 = 2π‘₯ βˆ’ 3 𝑦 = βˆ’3π‘₯ + 2

𝑦 = βˆ’ + 2π‘₯2 𝑦 = βˆ’ 3π‘₯2

𝑑 = π‘š + 1001

30𝑑 = 30π‘š + 100

𝑑 = 30π‘š 𝑑 = 30π‘š βˆ’ 100

Page 4: Week 4-5 Writing Linear Equations - Amazon S3

  A.     B.  

  C.  

10) 7% of score

A tank holds some water. More water is pumped into the tank at a constant rate. The data in the tableshows the amount of water in the tank each hour while it is being filled.

Filling a Water Tank

Hours (h) Gallons (g)

2 120

5 270

7 370

What is the equation of a line that fits the data?

  A.     B.  

  C.     D.  

11) 7% of score

The graph of a linear function passes through all the points listed in the table.

x -2 0 2 4 6

y 12 9 6 3 0

Which function rule corresponds to the information in the table?

𝑓(π‘₯) = π‘₯ + 63

4𝑓(π‘₯) = βˆ’ π‘₯ + 6

3

4

𝑓(π‘₯) = π‘₯ βˆ’ 83

4

𝑐 = 50β„Ž 𝑐 = 50β„Ž βˆ’ 20

𝑐 = 50β„Ž + 20 𝑐 = β„Ž βˆ’ 20150

Page 5: Week 4-5 Writing Linear Equations - Amazon S3

  A.     B.  

  C.     D.  

12) 7% of score

The graph illustrates the relationship between the number of pages printed and the total cost of the printorder at a print shop.

Which algebraic representation best represents the graph?

  A.     B.  

  C.     D.  

13) 7% of score

Arthur owns a pizza parlor. He charges $10.00 for a large cheese pizza plus $1.50 for each topping. He wantsto use an equation that will allow him to calculate the price for any large pizza with any number oftoppings . Which equation should Arthur use?

  A.     B.  

  C.     D.  

14) 7% of score

Which linear function would produce the given table of values?

           2       4       6       8   

           -6       1       8       15   

𝑦 = π‘₯ + 923

𝑦 = βˆ’ π‘₯ + 93

2

𝑦 = βˆ’ π‘₯ + 63

2𝑦 = π‘₯ + 62

3

𝑓(π‘₯) = 10π‘₯ + 0.25 𝑓(π‘₯) = 10.25 + 0.25π‘₯

𝑓(π‘₯) = 10 + 0.25π‘₯ 𝑓(π‘₯) = 25π‘₯ + 10

(𝑦)(π‘₯)

𝑦 = 10π‘₯ + 1.5 𝑦 = π‘₯10

1.5

𝑦 = 1.5π‘₯ + 10 𝑦 = (10 + 1.5)π‘₯

π‘₯

𝑓(π‘₯)

Page 6: Week 4-5 Writing Linear Equations - Amazon S3

  A.     B.  

  C.     D.  

15) 7% of score

The table shown here represents a linear relationship between and

Which linear function rule best describes the data?

                   

2 20

4 18

6 16

8 14

10 12

  A.     B.  

  C.     D.  

  E.  

𝑓(π‘₯) = 3.5π‘₯ βˆ’ 13 𝑓(π‘₯) = 2π‘₯ + 7

𝑓(π‘₯) = 7π‘₯ + 6 𝑓(π‘₯) = π‘₯ βˆ’ 2072

π‘₯ 𝑓(π‘₯).

π‘₯ 𝑓(π‘₯)

𝑓(π‘₯) = 20 + π‘₯ 𝑓(π‘₯) = 20 βˆ’ 2π‘₯

𝑓(π‘₯) = 22 βˆ’ π‘₯ 𝑓(π‘₯) = 22 βˆ’ 2π‘₯

𝑓(π‘₯) = 22 + π‘₯

Page 7: Week 4-5 Writing Linear Equations - Amazon S3

WEEK 6-7 SYSTEMSApr 2, 8:00am – May 18, 2020, 6:00pmTRY YOUR BEST!STAY SAFE...MISS YOU!Test Design: Week 6-7 Systems

There are no additional instructions for this test.

1) 7% of score

The equation of line 1 is and the equation of line 2 is What is the point ofintersection of the two lines?

  A.   (5,5)   B.   (3,2)

  C.   (5,1)   D.   (2,3)

2) 7% of score

The graph shows the equations and

What is the solution to the system defined by these two equations?

  A.   (-2,3)   B.  

  C.   (1,6)   D.   (2,2)

3) 7% of score

What is the solution to this system of equations?

3π‘₯ βˆ’ 2𝑦 = 5, π‘₯ + 2𝑦 = 7.

𝑦 = βˆ’ π‘₯ + 312

𝑦 = 2π‘₯ βˆ’ 2.

(βˆ’ , 2)12

{2π‘₯ βˆ’ 2𝑦 = 5

𝑦 = 4π‘₯ βˆ’ 1

Page 8: Week 4-5 Writing Linear Equations - Amazon S3

  A.     B.  

  C.   No solution   D.   Infinitely many solutions

4) 7% of score

In the system of equations:

which expression can be substituted for y in the second equation?

  A.     B.  

  C.     D.  

5) 7% of score

How would you describe the graph of a system of equations if the solution to the system were all realnumbers?

  A.   The lines would be parallel.

  B.   The lines would be perpendicular.

  C.   The lines would intersect at one point.

  D.   The lines would overlay each other and be equivalent lines.

6) 7% of score

Which of the following statements describes the graph of a system of equations that has no solution?

  A.   The lines are parallel.

  B.   The lines have one intersection point.

  C.   The lines overlay each other and are equivalent lines.

  D.   The lines are perpendicular.

7) 7% of score

Solve this system of equations.

(3, )1

2 (βˆ’ ,βˆ’3)1

2

βˆ’24π‘₯ + 6𝑦 = 124π‘₯ + 7𝑦 = βˆ’13

2 βˆ’ 4π‘₯ βˆ’2 + 4π‘₯

βˆ’2 βˆ’ 4π‘₯ 2 + 4π‘₯

6π‘₯ βˆ’ 7𝑦 = 2

2π‘₯ + 3𝑦 = βˆ’10

Page 9: Week 4-5 Writing Linear Equations - Amazon S3

What is the solution?

  A.     B.  

  C.     D.   No solution

8) 7% of score

Solve this system of equations.

What is the solution?

  A.     B.  

  C.   No solution   D.   Infinitely many solutions

  E.  

9) 7% of score

Solve this system of equations.

What is the solution?

  A.     B.  

  C.     D.  

  E.  

10) 7% of score

Solve the following system of equations:

What is the solution?

(βˆ’2,βˆ’2) ( , 2)8

3

(βˆ’8, 2)

4π‘₯ + 5𝑦 = 3

3π‘₯ βˆ’ 8𝑦 = βˆ’2

( , )14

47

17

47 ( , )34

47

1

47

(βˆ’ ,βˆ’1)10

3

𝑒 + 2𝑣 = 10𝑒 βˆ’ 𝑣 = 16

𝑒 = 14, 𝑣 = βˆ’2 𝑒 = 22, 𝑣 = βˆ’6

𝑒 = 18, 𝑣 = 2 𝑒 = 18, 𝑣 = βˆ’4

𝑒 = 18, 𝑣 = βˆ’2

π‘₯ βˆ’ 𝑦 = 4𝑦 = 1 βˆ’ 4π‘₯

Page 10: Week 4-5 Writing Linear Equations - Amazon S3

  A.     B.  

  C.     D.  

11) 7% of score

Solve the following system of equations:

  A.     B.  

  C.     D.  

12) 7% of score

Solve the following system of equations:

  A.     B.  

  C.     D.  

13) 7% of score

Which of the following would be a possible first step in solving this system by substitution?

  A.     B.  

  C.     D.  

14) 7% of score

The graph shows the lines and

π‘₯ = 1, 𝑦 = βˆ’3 π‘₯ = 2, 𝑦 = βˆ’2

π‘₯ = 1, 𝑦 = 3 π‘₯ = 3, 𝑦 = βˆ’1

{𝑦 = π‘₯ + 2

π‘₯ + 𝑦 = 8

π‘₯ = 3, 𝑦 = 5 π‘₯ = 5, 𝑦 = 7

π‘₯ = 7, 𝑦 = 1 π‘₯ = 5, 𝑦 = 3

{π‘₯ + 2𝑦 = 5

π‘₯ βˆ’ 𝑦 = 2

π‘₯ = 1, 𝑦 = 3 π‘₯ = 3, 𝑦 = 1

π‘₯ = 5, 𝑦 = 3 π‘₯ = βˆ’1, 𝑦 = 3

{π‘₯ = 𝑦 + 3

2π‘₯ + 4𝑦 = 8

2π‘₯ + 4(𝑦 + 3) = 8 2(𝑦 + 3) + 4𝑦 = 8

(𝑦 + 3) + 4𝑦 = 8 2π‘₯ + 4𝑦 = 𝑦 + 3

𝑦 = βˆ’2π‘₯ βˆ’ π‘Ž 𝑦 = 4π‘₯ + 𝑏.

Page 11: Week 4-5 Writing Linear Equations - Amazon S3

What is a reasonable solution to the equation

  A.     B.  

  C.     D.   Not enough information is given todetermine a solution.

15) 7% of score

Which of the following statements about the lines graphed is true?

  A.   The lines do not intersect.   B.   The lines graphed intersect at (8,6).

  C.   The lines graphed intersect at (7,5).   D.   The lines graphed intersect at (5,7).

4π‘₯ + 𝑏 = βˆ’2π‘₯ βˆ’ π‘Ž?

π‘₯ = βˆ’3 π‘₯ = βˆ’1.5

π‘₯ = βˆ’2

Page 12: Week 4-5 Writing Linear Equations - Amazon S3

WEEK 8-9 RATE OF CHANGEApr 2, 8:00am – May 18, 2020, 6:00pmSAFE SAFE, MISS YOUTest Design: week 8-9 rate of change

There are no additional instructions for this test.

1) 7% of score

What is the rate of change of this graph?

  A.   -10 meters per second   B.   meters per second

  C.   meters per second   D.   10 meters per second

2) 7% of score

What is the rate of change of this graph?

  A.   Undefined   B.   -2

  C.   1   D.   0

3) 7% of score

What is the rate of change for this graph?

βˆ’

1

10

1

10

Page 13: Week 4-5 Writing Linear Equations - Amazon S3

  A.   -$0.25 per page   B.   $25 per page

  C.   $0.25 per page   D.   $4 per page

4) 7% of score

What is the rate of change for the data in the table?

# of candy bars Cost in dollars

1 2.25

2 4.50

4 9.00

7 15.75

  A.   $2.25 per candy bar   B.   $6.75 per candy bar

  C.   candy bars per dollar   D.   4.50 candy bars per dollar

5) 7% of score

What is the rate of change for the data in the table?

x y5 1

10 2

20 4

  A.     B.   5

  C.     D.   10

6) 7% of score

4

9

2

5

1

5

Page 14: Week 4-5 Writing Linear Equations - Amazon S3

What is the rate of change between the points on the graph shown?

  A.   -4   B.  

  C.   4   D.  

7) 7% of score

The four sections of the graph have been labeled W, X, Y, and Z. For whichsection is the rate of change 0?

  A.   W   B.   X

  C.   Y   D.   Z

8) 7% of score

What is the rate of change in the table?

Weight in grams Cost in dollars

1 5

2 7

3 9

4 11

1

4

βˆ’

1

4

Page 15: Week 4-5 Writing Linear Equations - Amazon S3

  A.   $2 per gram   B.   -2 grams per dollar

  C.   $0.50 per gram   D.   gram per dollar

9) 7% of score

The graph shows Marc's distance from a motion detector with respect to time. Based on the graph, duringwhich interval was Marc standing still?

  A.   A   B.   B

  C.   C   D.   D

10) 7% of score

Which section of the graph indicates when Marc moved away from a motion detector at the slowest rate,but was not standing still?

  A.   A   B.   B

  C.   C   D.   D

βˆ’

1

2

Page 16: Week 4-5 Writing Linear Equations - Amazon S3

11) 7% of score

What is the rate of change for the table below?

x y-2 6

1 6

2 6

  A.   Undefined   B.   0

  C.   6   D.   1

12) 7% of score

The four sections of the graph have been labeled A, B, C, and D. For whichsection was the person walking at the fastest rate?

  A.   A   B.   B

  C.   C   D.   D

13) 7% of score

Teresa's parents decide to join a weight-loss programto lose some weight. They have to pay based on theamount of weight that they lose. Using the graph, forwhat range of weight loss do they have to pay thelowest rate?

Page 17: Week 4-5 Writing Linear Equations - Amazon S3

  A.   0 to 20 pounds   B.   10 to 40 pounds

  C.   20 to 50 pounds   D.   50 to 80 pounds

14) 7% of score

Erin used a motion detector to collect data while she walked. Which section of this graph indicates whenErin was moving the fastest?

  A.   A   B.   B

  C.   C   D.   D

15) 7% of score

The table below shows the amount, A, of a monthly cellular phone bill when the customer uses a certainnumber of minutes, m, over their plan.

Minutes over plan      5           10           15           20     

Amount of monthly bill      $29.50           $31.00           $32.50           $34.00     

What is the cost for each minute over their plan?

  A.   $3.10 per minute   B.   $0.30 per minute

  C.   $1.70 per minute   D.   $1.50 per minute

(π‘š)

(𝐴)