Elementary Algebra 2e

# Practice Test

### 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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