Question

Expand 4(3z − 7)

Answer 1

Expand −5(2q + 8)

Answer 2

Expand 7/10(5d+6) .

Answer 3

Expand −5/8(3p+8)

Answer 4

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

Answer 5

Expand −5(−3 − 11g)

Answer 6

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

Answer 7

Expand 25(−5c+10)

Answer 8

Expand 2/5(−5c+10)

Answer 9

Expand −7/6(3g+2)

Answer 10

To expand the expression 4(3z - 7), we distribute the 4 to both terms inside the parentheses:

4 * 3z = 12z
4 * (-7) = -28

So the expanded form of 4(3z - 7) is 12z - 28.

Answer 11

To expand the expression -5(2q + 8), we distribute the -5 to both terms inside the parentheses:

-5 * 2q = -10q
-5 * 8 = -40

So the expanded form of -5(2q + 8) is -10q - 40.

Answer 12

To expand the expression (7/10)(5d + 6), we distribute the (7/10) to both terms inside the parentheses:

(7/10) * 5d = (35/10)d = 3.5d
(7/10) * 6 = (42/10) = 4.2

So the expanded form of (7/10)(5d + 6) is 3.5d + 4.2.

Answer 13

To expand the expression (-5/8)(3p + 8), we distribute the (-5/8) to both terms inside the parentheses:

(-5/8) * 3p = (-15/8)p = -1.875p
(-5/8) * 8 = (-40/8) = -5

So the expanded form of (-5/8)(3p + 8) is -1.875p - 5.

Answer 14

To expand the expression 5(y + 2) using the distributive property, we distribute the 5 to both terms inside the parentheses:

5 * y = 5y
5 * 2 = 10

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

Answer 15

To expand the expression -5(-3 - 11g), we distribute the -5 to both terms inside the parentheses:

-5 * -3 = 15
-5 * -11g = 55g

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

Answer 16

To expand the expression 1/3(q - 6) using the distributive property, we distribute 1/3 to both terms inside the parentheses:

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

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

Answer 17

To expand the expression 25(-5c + 10), we distribute the 25 to both terms inside the parentheses:

25 * (-5c) = -125c
25 * 10 = 250

So the expanded form of 25(-5c + 10) is -125c + 250.

Answer 18

To expand the expression 2/5(-5c + 10), we distribute the 2/5 to both terms inside the parentheses:

2/5 * (-5c) = -10/5*c = -2c
2/5 * 10 = 4

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

Answer 19

To expand the expression -7/6(3g + 2), we distribute the -7/6 to both terms inside the parentheses:

-7/6 * 3g = -21/6*g = -7/2*g = -3.5g
-7/6 * 2 = -14/6 = -7/3

So the expanded form of -7/6(3g + 2) is -3.5g - 7/3.