Multiply by 5 Subtract 1 Divide by 2

Multiply by 5

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Divide by 2

Subtract 1

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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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