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Systems of Linear Equations Using Substitution

Authored by Anthony Clark

Mathematics

8th Grade

10 Questions

CCSS covered

Systems of Linear Equations Using Substitution
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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the system of equations by substitution.
y = -4x + 5
y =  3x - 16

(-3, -25)

(3,-7)

(11, 17)

(21, 47)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Does the following system have One Solution, No Solution, or Infinite Solutions.  
y = 4x + 8
y = -5x + 3

One solution

No solution

Infinite solution

Tags

CCSS.8.EE.C.8B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve for x and y
y = 2x + 1
y = 4x - 1

(1,3)

(-1,-3)

(-1,3)

(3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve for x and y.
y = 2/3x - 2
y = -x + 3

(0,3)

(0,-3)

(3,0)

(-3,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

yes

no

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

1.5x+0.5y=78.5
x+y=87

1.5x+0.5y=78.5
1.5x+0.5y=87

x+y=78.5
1.5x+0.5y=87

x+y=78.5
x+y=87

Tags

CCSS.HSA.CED.A.3

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