Expand 6(x + 1).(1 point)
Expanding 6(x + 1) means distributing the 6 to both x and 1:
6(x + 1) = 6 * x + 6 * 1
Therefore, the expanded form is:
6(x + 1) = 6x + 6
Expand 4(3z − 7).(1 point)
To expand 4(3z - 7), we need to distribute the 4 to both 3z and -7:
4(3z - 7) = 4 * 3z + 4 * (-7)
Simplifying this further:
4(3z - 7) = 12z - 28
Expand −5(2q + 8).(1 point
To expand -5(2q + 8), we need to distribute the -5 to both 2q and 8:
-5(2q + 8) = -5 * 2q + -5 * 8
Simplifying this further:
-5(2q + 8) = -10q - 40
Expand 7/10(5d+6).(1 point)
Responses
35d + 42
35
d
+
42
35d + 42
35
d
+
42
72d + 215
7
2
d
+
21
5
72d + 215
7
2
d
+
21
5
35d + 6
35
d
+
6
35d + 6
35
d
+
6
5d
5
d
+ 215
To expand 7/10(5d + 6), we need to distribute the 7/10 to both 5d and 6:
7/10(5d + 6) = (7/10) * 5d + (7/10) * 6
Simplifying this further:
7/10(5d + 6) = (7/10) * 5d + (7/10) * 6 = 35/10d + 42/10 = 3.5d + 4.2
Expand −58(3p+8).(1 point)
Responses
−158 p−5
−
15
8
p
−
5
−158 p−5
−
15
8
p
−
5
3p + 8
3
p
+
8
3p + 8
3
p
+
8
−15p + (−40)
−
15
p
+
(
−
40
)
−15p + (−40)
−
15
p
+
(
−
40
)
−158 + 3p
To expand -58(3p + 8), we need to distribute the -58 to both 3p and 8:
-58(3p + 8) = -58 * 3p + -58 * 8
Simplifying this further:
-58(3p + 8) = -174p - 464
Expand 5(y + 2) using the distributive property.(1 point)
Responses
6y + 7
6 y plus 7
5y + 10
5 y plus 10
5y + 2
5 y plus 2
6y + 10