Expand
5(y + 2)
using the distributive property.(1 point)
6y + 10
5y + 10
6y + 7
5y + 2
5(y + 2) can be expanded using the distributive property as follows:
5(y + 2) = 5 * y + 5 * 2 = 5y + 10
Therefore, the correct expansion is 5y + 10.
Expand
−5(−3 − 11g)
.(1 point)
55g + 15
−55g + 15
−55g − 15
55g − 15
−5(−3 − 11g) can be expanded using the distributive property as follows:
−5(−3 − 11g) = −5 * (−3) − 5 * (11g) = 15 + 55g = 55g + 15
Therefore, the correct expansion is 55g + 15.
Expand
1
3
(q−6)
using the Distributive Property.(1 point)
−
1
3
q+6
1
3
q−2
−
1
3
q+2
1
3
q−6
1/3(q - 6) can be expanded using the distributive property as follows:
1/3(q - 6) = (1/3) * q + (1/3) * (-6) = 1/3 * q - 2
Therefore, the correct expansion is 1/3q - 2.
Expand
2
5
(−5c+10)
.(1 point)
−2c+4
2c−10
−2c+10
2c−4
2/5(-5c + 10) can be expanded using the distributive property as follows:
2/5(-5c + 10) = (2/5) * (-5c) + (2/5) * 10 = -2c + 4
Therefore, the correct expansion is -2c + 4.
Expand
−
7
6
(3g+2)
.(1 point)
7
2
g−
7
3
−
7
2
g+2
−
7
2
g−
7
3
7
2
g+2
−7/6(3g + 2) can be expanded using the distributive property as follows:
−7/6(3g + 2) = (−7/6) * (3g) + (−7/6) * 2 = −7/2g + (−7/3) = −7/2g − 7/3
Therefore, the correct expansion is −7/2g − 7/3.
To expand 5(y + 2) using the distributive property, we need to distribute the 5 to both terms inside the parentheses.
First, multiply 5 by y: 5 * y = 5y.
Next, multiply 5 by 2: 5 * 2 = 10.
So, the expanded form of 5(y + 2) is 5y + 10.
Therefore, the correct answer is 5y + 10.