Elementary Algebra 2e

# Practice Test

### Practice Test

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

457.

$14y−4214y−42$

458.

$−6x2−30x−6x2−30x$

459.

$80a2+120a380a2+120a3$

460.

$5m(m−1)+3(m−1)5m(m−1)+3(m−1)$

In the following exercises, factor completely.

461.

$x2+13x+42x2+13x+42$

462.

$p2+pq−12q2p2+pq−12q2$

463.

$3a3−6a2−72a3a3−6a2−72a$

464.

$s2−25s+84s2−25s+84$

465.

$5n2+30n+455n2+30n+45$

466.

$64y2−4964y2−49$

467.

$xy−8y+7x−56xy−8y+7x−56$

468.

$40r2+81040r2+810$

469.

$9s2−12s+49s2−12s+4$

470.

$n2+12n+36n2+12n+36$

471.

$100−a2100−a2$

472.

$6x2−11x−106x2−11x−10$

473.

$3x2−75y23x2−75y2$

474.

$c3−1000d3c3−1000d3$

475.

$ab−3b−2a+6ab−3b−2a+6$

476.

$6u2+3u−186u2+3u−18$

477.

$8m2+22m+58m2+22m+5$

In the following exercises, solve.

478.

$x2+9x+20=0x2+9x+20=0$

479.

$y2=y+132y2=y+132$

480.

$5a2+26a=245a2+26a=24$

481.

$9b2−9=09b2−9=0$

482.

$16−m2=016−m2=0$

483.

$4n2+19n+21=04n2+19n+21=0$

484.

$(x−3)(x+2)=6(x−3)(x+2)=6$

485.

The product of two consecutive integers is $156156$. 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.