Sign up for FREE

Math 8 Testlet 005 - Solving Systems of Linear Equations 8.EEI.C.8d

Last updated 3 months ago

8 questions

Required

1

8.EEI.C.8.d

Required

1

8.EEI.C.8.d

Required

1

8.EEI.C.8.d

Required

1

8.EEI.C.8.d

Required

1

8.EEI.C.8.d

Required

1

8.EEI.C.8.d

Required

1

8.EEI.C.8.d

Required

1

8.EEI.C.8.d

Question 1

1.

Question 2

2.

Question 3

3.

Question 4

4.

Question 5

5.

Question 6

6.

Question 7

7.

A system of linear equations is shown:
\begin{cases}   y=2x-1\\      y=-4x-1    \end{cases}

What is the solution to the system of linear equations?  
(_______ ,_______ )

Question 8

8.

A system of linear equations is shown:
\begin{cases}   y=5x-8\\      3x+y=8    \end{cases}

What is the solution to the system of linear equations?  
(_______ ,_______ )

Ariel and Sarah are each growing a plant. The equation y = 3x + 10 can be used to model the height, y, in centimeters (cm), of Ariel’s plant after x weeks. The equation y = 4x + 3 can be used to model the height, y, in cm, of Sarah’s plant after x weeks. After how many weeks will Ariel’s and Sarah’s plants be the same height, and what will that height be?

After 31 weeks, both plants will have a height of 7 cm.

After 1 week, both plants will have a height of 13 cm.

After 7 weeks, both plants will have a height of 31 cm.

After 13 weeks, both plants will have a height of 1 cm.

A system of linear equations is shown.
\begin{cases}   y=-\frac{1}{4}x+10\\      y=\frac{7}{4}x+2    \end{cases}
 
What is the solution to the system of linear equations?

(8, 8)

(4, 24)

(4, 9)

(8, 16)

A system of linear equations is shown.
\begin{cases}   y=-\frac{3}{2}x+1\\      y=\frac{1}{2}x+5    \end{cases}
 
What is the solution to the system of linear equations?

(6, -8)

(2, -2)

(-2, 4)

(-6, 10)

A system of linear equations is shown.
\begin{cases}   x=4y+14\\      2x-3y=13    \end{cases}
Which equation shows a correct first step for solving the system of equations using
substitution?

4y + 14 = 2x – 3y

4y + 14 = 3y + 13

2(4y + 14) – 3y = 13

2x – 3(4y + 14) = 13

A school sells tickets for the spring play. Adult tickets cost $9, and student tickets cost $3. The school sold 289 tickets for a total of $1,047. This situation can be represented by the system of linear equations shown.
\begin{cases}   x+y=289\\      9x+3y=1,047    \end{cases}
How many of each type of ticket did the school sell?

30 adult tickets and 259 student tickets

274 adult tickets and 15 student tickets

259 adult tickets and 30 student tickets

15 adult tickets and 274 student tickets

Two companies repair cell phones. Company A charges $25 per hour plus an initial fee of $20. Company B charges $30 per hour plus an initial fee of $10. This situation can be represented by the system of linear equations shown.
\begin{cases}   y=25x+20\\      y=30x+10    \end{cases}
For which number of hours will the cost of a repair be the same with both companies?

70

0.5

6

2