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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

Respuesta :

Answer:

Option 3)

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

Option 7)

An equivalent expression is 8a + 56

Step-by-step explanation:

We are given the following expression:

[tex]8 (a + 7)[/tex]

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

Distributive property:

[tex]a(b+c)\\=(a\times b) + (a\times c)\\=a(b) + a(c)\\=ab + ac[/tex]

Simplifying the expression, we get,

[tex]8(a+7)\\=(8\times a)+(8\times 7)\\=8a + 56[/tex]

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

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