12/10 - 8.17: Justify steps for solving an equation

Which property of real numbers justifies the work shown from Step 1 to Step 2?

• Distributive Property
• Commutative Property
• Identity Property
• Associative Property

Tags

CCSS.6.EE.A.3

Which property of real numbers was used:

8x + 10 - 10 = -6 - 10

8x + 0 = -6 - 10

• Addition Property of Equality

• Subtraction Property of Equality

• Additive Inverse Property

• Substitution Property

Which property justifies the work pictured in red used in solving this equation?

• Addition Property of Equality

• Additive Inverse Property

• Identity Property of Addition

• Subtraction Property of Equality

Which property of real numbers justifies the work shown?

• Distributive Property
• Commutative Property
• Identity Property
• Associative Property

Tags

CCSS.6.EE.A.3

Which property justifies the work from Step 2 to Step 3?

• Addition Property of Equality
• Additive Inverse Property
• Identity Property of Addition
• Subtraction Property of Equality

Tags

CCSS.HSA.REI.A.1

Which property justifies the work from Step 3 to Step 4?

3y + 0 = -10 + 6
      3y = -10 + 6

• 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?

3y = -10 + 6

3y = -4

• Addition Property of Equality

• Subtraction Property of Equality

• Additive Inverse Property

• Substitution Property

Which two properties justify the work in solving this equation?

• Addition Property of Equality

• Additive Inverse Property

• Additive Identity Property

• Multiplicative Property of Zero

Sarah incorrectly solved the equation $-6\left(7n+7\right)=-294$  as shown.

Step 1:      -6(7n + 7) = -294
Step 2:       -42n - 42 = -294
Step 3:               -42n = -336
Step 4:                n = 8
Between which two steps did Sarah make a mistake?

• Step 1 and Step 2

• Step 2 and Step 3

• Step 3 and Step 4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

3(2x - 5) = 15

Step 1 6x - 15 = 15

Step 2 6x -15+15 = 15 +15

Step 3 6x +0 = 30

Step 4 6x = 30

Step 5 1/6 (6x) = 30 (1/6)

Step 6 1x = 5

Step 7 x = 5

Which property justifies going from step 3 to step 4?

• Identity Property of Addition

• Inverse Property of Multiplication

• Distributive Property

• Inverse Property of Addition