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Solving Systems of Linear Equations with Substitution

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Solving Systems of Linear Equations with Substitution
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

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

2.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

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

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of these is not a method for solving a system of equations?

Graphing

Substitution

Elimination

Hoping

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

An ordered pair in a system that makes all equations true is

consistent system

system of linear equations

solution of a system to linear equations

independent system

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

If a system of equations has no solution, what does the graph look like? 

intersecting lines

parallel lines

skew lines

intersecting lines

Tags

CCSS.8.EE.C.8A

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Using elimination or substitution, what is the solution to the following equations?


y = 2x + 4


x - 2y = -1

(3, -2)

(2, -3)

(-3, -2)

(-2, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

10c + 5d = 14.25
5c + 10d = 16.50

10c + 5d = 16.50
5c + 10d = 14.25

c + d = 10
5c + 10d = 16.50

c + d = 5
5c + 10d = 16.50

Tags

CCSS.8.EE.C.8C

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