Solving Linear Equation Using Properties of Equality

Solving Linear Equation Using Properties of Equality

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Using the Addition Property of Equality (APE)

If we add the same number to both sides of the equal sign, then the two sides remain equal. 

Fill in the Blanks

x + 12 = -18

Multiple Choice

Solve for x:

x - 5 = 8

• -13

• -3

• 3

• 13

Using Multiplication Property of Equality (MPE)

If we multiply the same number to both sides of the equal sign, then the two sides remain equal. 

Fill in the Blanks

x/6 = -2

Multiple Choice

Solve:
-4x = 24

• 20
• -20
• 6
• -6

Multiple Choice

5x = 35

• 5

• 6

• 7

• 8

Using both the Addition Property and Multiplication Property

Multiple Choice

Solve:
3x + 7 = -8

• 5
• -5
• -12
• -18

Multiple Choice

2x + 3 = 9

• 2

• 3

• 4

• 5

Multiple Choice

Solve:
7x + 19 = -2x + 55

• 4
• 14.8
• 8.2
• -4

Multiple Choice

Solve:
3(x - 2) = 18

• 6.7
• 4
• 8
• -4

Multiple Choice

Solve:
7x - 3x - 8 = 24

• 8
• -8
• 3.2
• 4

Multiple Choice

2(x-4) = 10 + 5x

• -6

• -3

• 3

• 6

Multiple Choice

x=8-7

• 1

• 2

• 3

• 4

Multiple Choice

2(x+4x)=?

• 7x

• 10x

• 11x

• 5x

Multiple Choice

2(3x+5)=22

• 1

• 2

• 3

• 4

Multiple Choice

2x-5=-3x+10

• 1

• 2

• 3

• 4

Multiple Choice

x(4+3)=14

• 1

• 2

• 3

• 4