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Practice Test

In the following exercises, find the Greatest Common Factor in each expression.

457.

14 y 42 14 y 42

458.

−6 x 2 30 x −6 x 2 30 x

459.

80 a 2 + 120 a 3 80 a 2 + 120 a 3

460.

5 m ( m 1 ) + 3 ( m 1 ) 5 m ( m 1 ) + 3 ( m 1 )

In the following exercises, factor completely.

461.

x 2 + 13 x + 42 x 2 + 13 x + 42

462.

p 2 + p q 12 q 2 p 2 + p q 12 q 2

463.

3 a 3 6 a 2 72 a 3 a 3 6 a 2 72 a

464.

s 2 25 s + 84 s 2 25 s + 84

465.

5 n 2 + 30 n + 45 5 n 2 + 30 n + 45

466.

64 y 2 49 64 y 2 49

467.

x y 8 y + 7 x 56 x y 8 y + 7 x 56

468.

40 r 2 + 810 40 r 2 + 810

469.

9 s 2 12 s + 4 9 s 2 12 s + 4

470.

n 2 + 12 n + 36 n 2 + 12 n + 36

471.

100 a 2 100 a 2

472.

6 x 2 11 x 10 6 x 2 11 x 10

473.

3 x 2 75 y 2 3 x 2 75 y 2

474.

c 3 1000 d 3 c 3 1000 d 3

475.

a b 3 b 2 a + 6 a b 3 b 2 a + 6

476.

6 u 2 + 3 u 18 6 u 2 + 3 u 18

477.

8 m 2 + 22 m + 5 8 m 2 + 22 m + 5

In the following exercises, solve.

478.

x 2 + 9 x + 20 = 0 x 2 + 9 x + 20 = 0

479.

y 2 = y + 132 y 2 = y + 132

480.

5 a 2 + 26 a = 24 5 a 2 + 26 a = 24

481.

9 b 2 9 = 0 9 b 2 9 = 0

482.

16 m 2 = 0 16 m 2 = 0

483.

4 n 2 + 19 n + 21 = 0 4 n 2 + 19 n + 21 = 0

484.

( x 3 ) ( x + 2 ) = 6 ( x 3 ) ( x + 2 ) = 6

485.

The product of two consecutive integers is 156. Find the integers.

486.

The area of a rectangular place mat is 168168 square inches. Its length is two inches longer than the width. Find the length and width of the place mat.

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