Question

Which of the following is equivalent to 7(a + 4) + 15?

7a + 43
7a + 19
7a + 60
28a + 15

Answer 1

7a + 43

Explanation:

Let's simplify step-by-step.

7(a+4)+15

Distribute:

=(7)(a)+(7)(4)+15

=7a+28+15

Combine Like Terms:

=7a+28+15

=(7a)+(28+15)

=7a+43

Answer 2

7a + 43

Explanation:

Given:

7(a + 4) + 15

Solve:

Distribute:

7(a + 4) + 15

• 7 × a = 7a
• 7 × 4 = 28

Now we have:

7a + 28 + 15

Add the numbers:

• 28 + 15 = 43

7a + 43

Therefore, 7a + 43 is equivalent to 7(a + 4) + 15.

Kavinsky.