Intermediate Algebra

# Practice Test

Intermediate AlgebraPractice Test

### Practice Test

In the following exercises, factor completely.

445.

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

446.

$5 m ( m − 1 ) + 3 ( m − 1 ) 5 m ( m − 1 ) + 3 ( m − 1 )$

447.

$x 2 + 13 x + 36 x 2 + 13 x + 36$

448.

$p 2 + p q − 12 q 2 p 2 + p q − 12 q 2$

449.

$x y − 8 y + 7 x − 56 x y − 8 y + 7 x − 56$

450.

$40 r 2 + 810 40 r 2 + 810$

451.

$9 s 2 − 12 s + 4 9 s 2 − 12 s + 4$

452.

$6 x 2 − 11 x − 10 6 x 2 − 11 x − 10$

453.

$3 x 2 − 75 y 2 3 x 2 − 75 y 2$

454.

$6 u 2 + 3 u − 18 6 u 2 + 3 u − 18$

455.

$x 3 + 125 x 3 + 125$

456.

$32 x 5 y 2 − 162 x y 2 32 x 5 y 2 − 162 x y 2$

457.

$6 x 4 − 19 x 2 + 15 6 x 4 − 19 x 2 + 15$

458.

$3 x 3 − 36 x 2 + 108 x 3 x 3 − 36 x 2 + 108 x$

In the following exercises, solve

459.

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

460.

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

461.

The area of a rectangular place mat is 168 square inches. Its length is two inches longer than the width. Find the length and width of the placemat.

462.

Jing is going to throw a ball from the balcony of her condo. When she throws the ball from 80 feet above the ground, the function $h(t)=−16t2+64t+80h(t)=−16t2+64t+80$ models the height, h, of the ball above the ground as a function of time, t. Find: the zeros of this function which tells us when the ball will hit the ground. the time(s) the ball will be 128 feet above the ground. the height the ball will be at $t=4t=4$ seconds.

463.

For the function, $f(x)=x2−7x+5,f(x)=x2−7x+5,$ find when $f(x)=−7f(x)=−7$ Use this information to find two points that lie on the graph of the function.

464.

For the function $f(x)=25x2−81,f(x)=25x2−81,$ find: the zeros of the function the x-intercepts of the graph of the function the y-intercept of the graph of the function.