Question

When given -5(x + 4) = 90 and trying to prove that x = -18, what should be placed in line A of the two-column proof? Statement Reason 1. -5(x + 4) = 90 1. Given 2. -5x − 20 = 90 2. _____A______ 3. _______B________ 3. Addition Property of Equality 4. x = -22 4. ____C_______ Subtraction Property of Equality Distributive Property

Answer 1

The 4 reasons for the Algebra proof are respectively;

Given; Distributive property; Addition Property; Division Property

How to use algebra properties?

We want to use algebra properties to find the value of x in the expression; -5(x + 4) = 90

Statement 1;  -5(x + 4) = 90

Reason 1; Given

Statement 2; -5x - 20 = 90

Reason 2; Distributive property of Algebra because we distributed -5 into the bracket terms.

Statement 3; -5x = 110

Reason 3; Addition property of equality because we added 20 to both sides to achieve that.

Statement 4; x = -22

Reason 4; Division property of equality because we divided both sides by -5 to obtain x = -22.

Thus, the 4 reasons are respectively;

Given; Distributive property; Addition Property; Division Property

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