When solving the equation 4 (3x^2 + 2) - 9 = 8x^2 + 7, Emily wrote

4 (3x^2 + 2) = 8x^2 + 16 as her first step. Which property justifies

Emily's first step?

(1) addition property of equality

(2) commutative property of addition

(3) multiplication property of equality

(4) distributive property of multiplication over addition

Question

Mathematics

Asa White

30 January, 10:29

When solving the equation 4 (3x^2 + 2) - 9 = 8x^2 + 7, Emily wrote

4 (3x^2 + 2) = 8x^2 + 16 as her first step. Which property justifies

Emily's first step?

(1) addition property of equality

(2) commutative property of addition

(3) multiplication property of equality

(4) distributive property of multiplication over addition

+4

Answers (1)

Know the Answer?

Eliza Foley · Answer 1

1 addition property of equality

Since there the - 9 disappeared on the left and the + 7 changed by 9 to a + 16, 9 must have been added to both sides of the equation, and the addition property of equality states that the equation remains true when the same thing is added to both sides.