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Solving systems by elimination

Solving systems by elimination

Assessment

Presentation

Mathematics

8th Grade

Practice Problem

Medium

CCSS
8.EE.C.8B, 8.EE.C.8C, 8.EE.C.8A

+1

Standards-aligned

Created by

Jennae King

Used 52+ times

FREE Resource

1 Slide • 10 Questions

1

Solving systems by elimination

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2

Multiple Choice

Solve by elimination:
x + 9y = 8
-6x - 9y = -3
1
(1,-1)
2
(1,1)
3
(-1,1)
4
(-1,-1)

3

Multiple Choice

Question image
What is the solution to the system?
1
(0, 3)
2
(1, -1)
3
(-3, 1)
4
(1, 3)

4

Multiple Choice

Macy starts with $20 in her bank account and she saves $5 each week. Robby has $100 in his bank account, and he saves $2.50 each week. After how many weeks will Macy and Robby have the same amount in their accounts and how much money will that be? Write a system of equations to solve.

1

25 weeks; $160

2

32 weeks; $180

3

20 weeks; $120

4

22 weeks; $135

5

Multiple Choice

Solve the system using elimination.

2x + 3y = 12

5x - y = 13

1

(-3, -2)

2

(1.5, 2)

3

(3, 0)

4

(3, 2)

6

Multiple Choice

Ride and Transport are two new ride sharing companies in Colorado. Ride is charging $2 for pick up fees and then $2.50 per mile. Transport is charging only $2.70 per mile. How many miles will it take for both companies to charge the same amount? Write a system of equations to solve.

1

27 miles

2

10 miles

3

270 miles

4

100 miles

7

Multiple Choice

Question image
Alex and Billy are running laps. According to the graph, how long will it take for the two boys to run the same distance?
1
20 minutes
2
15 minutes
3
10 minutes
4
5 minutes

8

Multiple Choice

Solve by elimination 
2x+9y= -7 
6x-3y= 9 
1
(-1, -1) 
2
(2,-1)
3
(1,1)
4
(1,-1)

9

Multiple Choice

Solve by elimination:
4x+4y=4

3x+4y=10
1
(7,-6)
2
(-6,7)
3
(6,7)
4
(7,6)

10

Multiple Choice

Solve by elimination:

3x+7y=23


-3x-7y=-17

1

No solution

2

(0, 3)

3

(-3,3)

4

(3,3)

11

Multiple Choice

Solve by elimination:
4x+9y=28
-4x-y=-28
1
(-7,0)
2
(6,0)
3
(-6,0)
4
(7,0)

Solving systems by elimination

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