Question

Which statements are true about the expression 8 (a + 7)? Check all that apply.

1.To simplify, distribute a to 8 and to 7.

2.8(a) can be rewritten as 8a.

3.8 (a + 7) can be rewritten as 8 (a) + 8 (7).

4.8 (a + 7) can be rewritten as 8 (a) + (7).

5.An equivalent expression is 15a.

6.An equivalent expression is 8 a + 7

7.An equivalent expression is 8 a + 56

Answer 1

d e g

Explanation:

Answer 2

Option 3)

8(a + 7) can be rewritten as 8(a) + 8(7).

Option 7)

An equivalent expression is 8a + 56

Explanation:

We are given the following expression:

`8 (a + 7)`

We can simplify the expression by distributing 8 over (a+7).

Distributive property:

`a(b+c)\\=(a* b) + (a* c)\\=a(b) + a(c)\\=ab + ac`

Simplifying the expression, we get,

`8(a+7)\\=(8* a)+(8* 7)\\=8a + 56`

Thus, the correct options are:

Option 3)

8(a + 7) can be rewritten as 8(a) + 8(7).

Option 7)

An equivalent expression is 8a + 56