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Practice 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.