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Exploring the Substitution Method for Systems of Equations

Exploring the Substitution Method for Systems of Equations

Assessment

Interactive Video

Mathematics

6th - 10th Grade

Practice Problem

Hard

CCSS
8.EE.C.8B, 6.EE.A.2C, 7.EE.B.4A

+1

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.8.EE.C.8B
,
CCSS.6.EE.A.2C
,
CCSS.7.EE.B.4A
CCSS.HSA.REI.C.6
,

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When is the substitution method most useful?

When the equations are nonlinear

When the equations are in standard form

When one variable is close to being isolated

When both variables are already isolated

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the first example, what is the value of x after substitution?

4

5

3

2

Tags

CCSS.6.EE.A.2C

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final solution to the system in the first example?

(4, 8)

(1, 2)

(3, 6)

(2, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second example, what is the first step to isolate x?

Subtract 2y from the other side

Add 2y to the other side

Divide both sides by 2

Multiply both sides by 2

Tags

CCSS.7.EE.B.4A

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-coordinate of the solution in the second example?

3

2

4

1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the third example, what happens when you solve the equation after substitution?

The variables cancel out and you get a false statement

You get infinitely many solutions

You get a unique solution

The variables cancel out and you get a true statement

Tags

CCSS.8.EE.C.8B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean when the variables cancel out and you get a false statement?

The system is inconsistent

There is a unique solution

There are infinitely many solutions

There is no solution

Tags

CCSS.8.EE.C.8B

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