5
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Solving with the Distributive Property — Quiz

Question 5 • Mathematics 8

Henry showed all the steps he took to solve the equation. 4 times open paren negative 1 half x plus 7 close paren plus 5 x is equal to 15 Step Simplified Expression 1 negative 2 x plus 28 plus 5 x is equal to 15 2 3 x plus 28 is equal to 15 3 3 x is equal to 15 4 x is equal to 5 Sammy tried to verify the solution by substituting x is equal to 5 back into the original equation. It did not result in a true statement. Which explains why Henry’s solution is incorrect?

Answer
A
Step 1 is wrong because the distributive property of equality was used incorrectly.
B
Step 2 is wrong because the addition property of equality was used incorrectly.
C
Step 3 is wrong because the subtraction property of equality was used incorrectly.
D
Step 4 is wrong because the division property was used incorrectly.
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Henry showed all the steps he took to solve the…