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Solving Linear Equations

Solving Linear Equations

Assessment

Interactive Video

•

Mathematics

•

6th - 7th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve the equation 2a + 5 = 17. It begins by isolating the variable 'a' by subtracting 5 from both sides, resulting in 2a = 12. Then, it divides both sides by 2 to find that a = 6. Finally, the solution is verified by substituting 6 back into the original equation, confirming that the solution is correct.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the equation 2a + 5 = 17 represent in this problem?

A polynomial equation

An inequality

A linear equation

A quadratic equation

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation 2a + 5 = 17?

Divide both sides by 2

Multiply both sides by 2

Subtract 5 from both sides

Add 5 to both sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After subtracting 5 from both sides of the equation 2a + 5 = 17, what is the resulting equation?

2a = 22

2a = 12

a = 6

a = 17

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of subtracting 5 from both sides of the equation?

To make the equation a quadratic

To simplify the equation to zero

To isolate the term containing 'a'

To eliminate the variable 'a'

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is needed to isolate 'a' in the equation 2a = 12?

Multiply both sides by 2

Subtract 2 from both sides

Add 2 to both sides

Divide both sides by 2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 'a' after solving the equation 2a = 12?

a = 2

a = 24

a = 6

a = 12

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical operation is performed after obtaining 2a = 12?

Division

Multiplication

Subtraction

Addition

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