Question

Which equation shows the correct use of the distributive property?
-4(3/2x-1/2)=-15
1a. 6x+4=-15
2b. 2x-1/2=-15
3c. -6x-2=-15
4d. -6x+2=-15

Answer 1

Answer: 4

Step-by-step explanation:

Multiply 4 by 2/3 and 1/2 (calculator) or you can put 4 like 4/1 than multiply 4/1 *3/2 and 4/1 * 1/2

Top times top and bottom times bottom

Answer 2

The equation which shows the correct use of the distributive property is - 6x + 2 = -15

• The Distributive Property is an algebraic property which is used to multiply a single term and two or more terms inside a parenthesis.

Given:

-4(3/2x - 1/2) = -15

multiply separately

-4(3/2x) -4(-1/2) = -15

-12/2x + 4/2 = -15

- 6x + 2 = -15

solve for x

-6x = -15 - 2

-6x = -17

x = -17/-6

x = 2.83

Therefore, the equation which shows the correct use of the distributive property is

- 6x + 2 = -15

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