Multi-Step Equations Error Analysis

Which property of real numbers was used to get from Step 3 to Step 4?

• Addition Property of Equality

• Subtraction Property of Equality

• Additive Inverse Property

• Substitution Property

Which property justifies the work in solving this equation?

• Addition Property of Equality

• Additive Inverse Property

• Identity Property of Addition

• Subtraction Property of Equality

Which property justifies the work from Step 4 to Step 5?

• Addition Property of Equality

• Subtraction Property of Equality

• Additive Inverse Property

• Substitution Property

Given 2(4x +8) + 3x = 12

Step 1. 8x + 16 + 3x = 12

Step 2. 8x + 3x + 16 = 12

Step 3. 11x + 16 = 12

Step 4. -16 -16

Step 5. 11x = -4

Step 6. /11 /11

Step 7. x = -4/11

Which property justifies between step 2 and step 3?

• Inverse Property of Multiplication

• Associative Property of Addition

• Substitution Property

• Commutative Property of Addition

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides

• Add the 2a and a

• Distribute 4 to a and -5

• Distribute -4 to a and -5

• 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

• Adding 5x to each side instead of 5

• Subtracting 7 from both sides

• Dividing -4 by 2 equals 2

• Dividing both sides by 2

Given 2(4x +8) + 3x = 12 Step 1 8x + 16 + 3x = 12 Step 2 8x + 3x + 16 = 12 Step 3 11x + 16 = 12 Step 4 -16 -16 Step 5 11x = -4 Step 6 /11 /11 Step 7 x = -4/11 Which property justifies between step 1 and step 2?

• Associative Property of Multiplication

• Associative Property of Addition

• Commutative Property of Addition

• Identity property of Multiplication

Identify the error in the picture given.

• There is no error

• Subtracted 18 instead of adding 18

• Subtracted 5d instead of adding 5d

• Divided by -3 instead of multiplying by -3

What is the first step to solve this equation?
3n - 4 = -2 + 2n 

• Add 2n to both sides of the equation

• Add 3n to both sides of the equation

• Subtract 2n from both sides of the equation

• Subtract 4 from both sides of the equation