Multi-Step Equations Error Analysis

• Adding 2x to 3x

• Subtracting 5 from both sides

• Adding 2x to -2x

• Dividing by 5 on both sides

• Adding 1 to both sides

• Distributing the negative sign when multiplying –3(x + 2)

• Subtracting 6 from both sides

• x should equal 5/3

• Adding 5x to -3x equals 8x

• Subtracting 7 from both sides

• Dividing by 8 on both sides

• Simplifying -4/8 to -1/2

• Using distributive property to multiply 2 times (3 – 10x)

• Adding 20x to both sides

• Adding 2 to both sides

• 4 divided by 24 does not equal 1/6

• Dividing by 2 on both sides

• Subtracting by 4 on both sides

• Dividing by 3 on both sides

• x should equal -1

• Subtracting 1 from both sides

• Dividing by 3 on both sides

• Subtracting by 5 on each side

• -x does not equal x

• Divide both sides of the equation by 2

• Add 3 to both sides of the equation

• Multiply both sides of the equation by 2.

• Subtract 3 from both sides of the equation

What is the first step to solve this equation?
k + 6 = -4k - 9 

• Add k to both sides of the equation

• Add 4k to both sides of the equation

• Subtract 9 from both sides of the equation

• Subtract 4k from both sides of the equation

What is the BEST first step?

x + 5 = -3x + 25

• Subtract x to both sides

• Add x to both sides

• Add 5 to both sides

• Add 3x to both sides

Which property justifies the work shown?

• Multiplication Property of Equality

• Subtraction Property of Equality

• Division Property of Equality

• Multiplicative Inverse Property