Expand −5 over 8(3p+8)

Answer choices:

−15 over 8 + 3p

−15p + (−40)

3p + 8

−15 over 8 p−5

To expand −5 over 8(3p+8), we multiply each term inside the parentheses by −5/8.

−5/8 * 3p = -15p/8
−5/8 * 8 = -40/8 = -5

Therefore, the expanded form is −15p/8 + (−40/8).

Simplifying the equation further, we can reduce the fractions to get:

−15/8 p + (−5).

So, the correct answer is −15 over 8 p−5.

Expand 5(y + 2) using the distributive property.

5y + 10

6y + 7

5y + 2

6y + 10

To expand 5(y + 2) using the distributive property, we need to distribute the 5 to each term inside the parentheses:

5 * y = 5y
5 * 2 = 10

Therefore, the expanded form is 5y + 10.

So, the correct answer is 5y + 10.

Expand −5(−3 − 11g)

−55g − 15

−55g + 15

​​​55g − 15

55g + 15

To expand −5(−3 − 11g) using the distributive property, we need to distribute the −5 to each term inside the parentheses:

−5 * −3 = 15
−5 * 11g = −55g

Therefore, the expanded form is −55g + 15.

So, the correct answer is −55g + 15.

Expand 1 over 3(q−6) using the Distributive Property.

1 over 3q -2

- 1 over 3q + 2

- 1 over 3q + 6

1 over 3q - 6

To expand 1 over 3(q−6) using the distributive property, we need to distribute 1 over 3 to each term inside the parentheses:

1 over 3 * q = q over 3
1 over 3 * -6 = -6 over 3 = -2

Therefore, the expanded form is q over 3 - 2.

So, the correct answer is 1 over 3q -2.

Expand 2 over 5(−5c+10)

2c − 10

−2c + 10

2c − 4

−2c + 4

To expand 2 over 5(−5c+10) using the distributive property, we need to distribute 2 over 5 to each term inside the parentheses:

2 over 5 * -5c = -10c over 5 = -2c
2 over 5 * 10 = 20 over 5 = 4

Therefore, the expanded form is -2c + 4.

So, the correct answer is -2c + 4.

Expand −7 over 6 (3g + 2) .