Multiply by 5 Subtract 1 Divide by 2
Multiply by 5
?
Divide by 2
Subtract 1
?
Simplifying Linear Expressions
E
Simplify each expression. 1) 10x ? 8x + 2 + 10
2) 3a + 7 + 2(3 + a)
3) 3(m ? 5) + m
4) 2s + 10 ? 7s ? 8 + 3s ? 7
5) 8c ? 4 ? 2c + 5
6) ?4 + 7z + 3 ? 2z
7) 15 + 4(5y ? 10)
8) 2d + 17 ? 3 ? 2d + 4d
9) 12n ? 8 ? 2n + 10 ? 4
10) 8(2k + 1 + 3k)
11) 4(2b + 2) ? 3
12) ?4 + 8p ? 6p ? 5 + 20p
?
?1?
Simplify each expression.
1)
1 2
(8x
?
6
+
2x)
+
10
+
2x
M
2) 2(5a + 10) ? 3(2a + 1) + 4(a + 5)
3) 5(2s + 4 + 3s) ? 4(s + 7)
4) 7(5n + 4 + 7n ? 10 + 3n) ? 30
5) ?3(4 + z) ? 5(?2 + z) + 2(11z + 3)
6)
2
1 2
c
+
5
?
3 2
c
+
1 2
+ 21c
7) ?60 + 4(5y ? 11) + 30(y + 2)
8)
7 3
(?12m
?
9
?
6m)
+
2m
?
8
9)
5 4
(8d
?
16
+
4d)
?
15
?
d
+
21
10) 4(2p + 4 ? 2p ? 6) + 4(3p ? 5)
?
?2?
Simplifying Polynomial Expressions
E
Simplify each expression.
1) 3x ? 5x ? x(2x + 4x)
2) a ? 2a + 5a + 1 ? 10a
3) 17 ? 3s + 2s ? 5s + 5
4) 17p + 8p ? 4 ? 5(p ? 2)
5) 3(7r ? 4r ? 5r )
6) 11c ? 9c + 15c ? 13c + 5c
7) 5m ? 7m + 3m ? 5m
8) 5d + 2d ? 8d ? (2d + 5d)
9) 15x ? 7x + 25x ? 10x + 35x ? 5x
10) 2(n + 2n ? 5n ) + 8n + 19
11) ?5(b + 10) ? 8(14 + b )
12) 10 + 2y ? (8y ? y + 5y )
?
?3?
Simplifying Polynomial Expressions
M
Simplify each expression. 1) 3(4x ? 5) ? 2(3x + 7) + 4(2x ? 8)
2)
3 2
(2a
+ 6a
? 9a
+ 8a
? 3a
+ 2a )
3) (2m + 4m )(2m + 5m )
4) 10s + 2(s ? 5s ) ? s(4s + 8)
5) 10p(2p ? 4p + 3p ? 2p + 5p ) + 4
6)
4 3
(8x
+ 9x
?
2x
)
?
12 5
(5x
+ 10)
7) 3(15d ? 10d + 7d ) ? 25d + 2d + 8d
8) (r ? 4)(7r ? 2r + 5r )
9)
1 2
(?8x
+ 2x
? 6x
+ 4x
? 10)
10) 5(a + 2a ) ? 6a(5a ? 7a )
?
?4?
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