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Systems by Substitution Steps

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Systems by Substitution Steps
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the first step to solve this system by substitution?

y = -2x

3x - 4y = 5

3(-2x) - 4y = 5

3x - 4(-2x) = 5

3(-2x) - 4(-2x) = 5

3x - 4y = -2x

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the first step to solve this system by substitution?

2(5) + 3y = 4

2x + 3(5) = 4

2(5) + 3(5) = 4

2x + 3y = 5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the first step to solve this system by substitution?

2(5) + 3y = 4

2x + 3(5) = 4

2(5) + 3(5) = 4

2x + 3y = 5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the first step to solve this system by substitution?

3x + 5 = 2x - 4

y = 3(2x - 4) + 5

y = 2(3x + 5) - 4

y = 3x + 5 + 2x - 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

You are solving a system by substitution. All the variables vanish and you get a false statement. What is the answer?

No Solution

One Solution

Two Solutions

Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

y = 3x + 5

y = -2x - 15

The first step is:

3x + 5 = -2x - 15

What is the second step?

5x + 5 = -15

x + 5 = -15

8x = -17x

15x = 30x

5 = x - 15

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

3x + 2y = 16 x = -7y + 19 The first two steps are: 3(-7y + 19) + 2y = 16 -21y + 57 + 2y = 16 What is the next step?

36y + 2y = 16

23y + 57 = 16

19y + 57 = 16

-19y + 57 = 16

-21y + 2y = 41

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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