Expand −5/8(3p+8).(1 point)

Answer 1

To expand the expression, we distribute the -5/8 to both terms inside the parentheses:

(-5/8) * 3p + (-5/8) * 8

Simplifying each term:

(-15/8)p + (-40/8)

Combining like terms:

-15/8p - 40/8

This can be further simplified by simplifying the fraction:

-15/8p - 5

So, the expanded form of -5/8(3p+8) is -15/8p - 5.

Answer 2

Expand 5(y + 2) using the distributive property.(1 point)

Answer 3

To expand the expression, we distribute the 5 to both terms inside the parentheses:

5 * y + 5 * 2

Simplifying each term:

5y + 10

So, the expanded form of 5(y + 2) is 5y + 10.

Answer 4

Expand −5(−3 − 11g).(1 point)

Answer 5

To expand the expression, we distribute the -5 to both terms inside the parentheses:

-5 * -3 + (-5) * -11g

Simplifying each term:

15 + 55g

So, the expanded form of -5(-3 - 11g) is 15 + 55g.

Answer 6

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

Answer 7

To expand the expression, we distribute the 1/3 to both terms inside the parentheses:

(1/3) * q + (1/3) * (-6)

Simplifying each term:

q/3 - 6/3

Combining the fractions:

q/3 - 2

So, the expanded form of 1/3(q - 6) is q/3 - 2.

Answer 8

Expand 2/5(−5c+10).(1 point)

Answer 9

To expand the expression, we distribute the 2/5 to both terms inside the parentheses:

(2/5) * (-5c) + (2/5) * 10

Simplifying each term:

-10c/5 + 20/5

Simplifying the fractions:

-2c + 4

So, the expanded form of 2/5(-5c+10) is -2c + 4.

Answer 10

Expand −7/6(3g+2).(1 point)

Answer 11

To expand the expression, we distribute the -7/6 to both terms inside the parentheses:

(-7/6) * 3g + (-7/6) * 2

Simplifying each term:

-21g/6 - 14/6

Simplifying the fractions:

-7g/2 - 7/3

So, the expanded form of -7/6(3g+2) is -7g/2 - 7/3.