Question

Move a property into each box of the Reason column to justify each step.

(4 points)
Step Equation Reason
Step 1 4(x+7)=9x−7
original equation
Step 2 4x+28=9x−7

Step 3 28=5x−7

Step 4 35=5x

Step 5 7=x



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Answer 1

Step 2 — Distributive Property (4(x+7) → 4x+28)

Step 3 — Subtraction Property of Equality (subtract 4x from both sides: 4x+28−4x = 9x−7−4x → 28 = 5x−7)

Step 4 — Addition Property of Equality (add 7 to both sides: 28+7 = 5x−7+7 → 35 = 5x)

Step 5 — Division Property of Equality (divide both sides by 5: 35/5 = 5x/5 → 7 = x)