160
Answers
1–100
Part II: The Answers
88.
3x – 7
Begin by removing the parentheses, being careful to distribute the –1 to the second
term. Then collect like terms to simplify:
(
) (
)
5
3
2
4
5
3 2
4
3
7
x
x
x
x
x
− −
+
=
− −
−
=
−
89.
6x
2
– 5x + 5
Begin by removing the parentheses, being careful to distribute the –1 to the second
term. Then collect like terms to simplify:
x
x
x
x
x
x
x
x
x
x
2
2
2
2
2
3
1
5
2
4
3
1 5
2
4
6
5
5
−
+
(
) − − + −
(
)
=
−
+ +
−
+
=
−
+
90.
4x
3
+ 5x
2
– 8x + 14
Begin by removing the parentheses, being careful to distribute the –1 to the second
term. Then collect like terms to simplify:
8
5
3
2
4
5
12
8
5
3
2 4
5
12
4
5
3
2
3
3
2
3
3
2
x
x
x
x
x
x
x
x
x
x
x
x
+
−
+
(
) −
+
−
(
)
=
+
−
+ −
−
+
=
+
− 8 8
14
x +
91.
2x
2
+ 3x + 1
Begin by removing the parentheses, being careful to distribute the –1 to the second
and third terms. Then collect like terms to simplify:
(
)
x
x
x
x
x
x
x
x
x
x
x
x
+ −
+
−
(
) − − − +
(
)
= + − −
+ +
+
−
=
+
+
3
3
4
3
5
6
3
3
4 3
5
6
2
3
1
2
2
2
2
2
92.
10x
4
– 7x
3
– 9x
2
– 8x + 10
Begin by removing the parentheses, being careful to distribute the –1 to the second
term. Then collect like terms to simplify:
10
6
6
10
8
4
10
6
6
10
8
4
4
3
2
3
2
4
3
2
3
2
x
x
x
x
x
x
x
x
x
x
x
x
−
+
+
(
) − +
+
−
(
)
=
−
+
+ −
−
−
+
= 1 10
7
9
8
10
4
3
2
x
x
x
x
−
−
−
+