Solving Linear Equations and Verification

Solving Linear Equations and Verification

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Practice Problem

Hard

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

+2

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.8.EE.C.7B
,
CCSS.7.EE.B.4A
,
CCSS.6.EE.B.7
CCSS.7.EE.A.1
,
CCSS.6.EE.B.5
,
The video tutorial explains how to solve a multi-step equation by simplifying both sides, isolating the variable, and verifying the solution. It begins with an introduction to the equation, followed by combining like terms to simplify it. The tutorial then demonstrates isolating the variable term and solving for x. Finally, the solution is verified by substituting the value back into the original equation.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal when solving an equation?

To find the value of y that makes the equation true

To eliminate all variables from the equation

To simplify the equation as much as possible

To find the value of x that makes the equation true

Tags

CCSS.8.EE.C.7B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying the equation 4x + 6x + 8 - x - 3 = 32?

Divide by the coefficient of x

Multiply to clear fractions

Combine like terms

Add constants on both sides

Tags

CCSS.7.EE.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After combining like terms, what does the left side of the equation simplify to?

7x + 5

8x + 5

9x + 5

10x + 5

Tags

CCSS.7.EE.B.4A

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to isolate the variable term in the equation 9x + 5 = 32?

Divide both sides by 5

Multiply both sides by 5

Subtract 5 from both sides

Add 5 to both sides

Tags

CCSS.7.EE.B.4A

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of subtracting 5 from both sides of the equation 9x + 5 = 32?

9x = 22

9x = 32

9x = 37

9x = 27

Tags

CCSS.6.EE.B.7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step to solve the equation 9x = 27?

Multiply both sides by 9

Divide both sides by 9

Add 9 to both sides

Subtract 9 from both sides

Tags

CCSS.6.EE.B.7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x in the equation 9x = 27?

x = 4

x = 2

x = 3

x = 5

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