Question

Simplify using the distributive property 7(a - 6).

Options:
A. 7a - 6
B. 7a + 42
C. 49a - 42
D. 7a - 42

Answer 1

Using the distributive property to simplify 7(a - 6), you multiply 7 by 'a' to get 7a, and then multiply 7 by -6 to get -42. The final simplified expression is 7a - 42. The correct option is D.

Step-by-step explanation:

To simplify the expression 7(a - 6) using the distributive property, you multiply 7 by each term inside the parentheses.

Here is the step-by-step process:

1. Multiply 7 by a: 7 × a = 7a.
2. Multiply 7 by -6: 7 × -6 = -42.
3. Combine the results from steps 1 and 2 to get the simplified expression: 7a - 42.

So, the correct answer is 7a - 42, which corresponds to option D.

Answer 2

The simplified expression using the distributive property is 7a - 42. Option D is answer.

Step-by-step explanation:

The distributive property states that the product of a number and a sum is equal to the sum of the products of the number and each term in the sum. In this case, the number is 7 and the sum is (a - 6). Therefore, we can simplify the expression as follows:

7(a - 6) = 7a - 7(6)

= 7a - 42

Therefore, option D, 7a - 42, is the correct answer.