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Solving Systems of Linear Equations by Elimination

Authored by Anthony Clark

Mathematics

9th Grade

10 Questions

CCSS covered

Solving Systems of Linear Equations by Elimination
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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. Which system of equations could be used? 

x + y = 1550
y  = 4x

x + y = 1550
y = x + 4

y - x = 1550
y = 4x

y = 1550 + x
y = x + 4

Tags

CCSS.8.EE.C.8C

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The solution to a system of linear equations is ALWAYS...

a fraction

an ordered pair

a decimal

a negative number

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

You and your friend are buying throw blankets with your names embroidered on them. The cost of the throw blanket is x dollars and the cost of each embroidered letter is y dollars. Your name has 6 letters and the total cost is $29. Your friend's name has 3 letters and the total cost is $24.50. Which system can you use to solve this problem?

Tags

CCSS.8.EE.C.8C

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the solution to this system of equations?

(4, -1)

(-1, 4)

(-4, 1)

(-4, -1)

Tags

CCSS.8.EE.C.8B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the solution:
2x-5y=15
3x+y=31

(10,1)

(13, -8)

(-10,-7)

No Solution

Tags

CCSS.8.EE.C.8B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve for x and y
3x + 2y = 16
7x + y = 19

(-2,5)

(-2,-5)

(2,-5)

(2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 

(5, 8)

(5, -8)

(-5, -18)

(-5, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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