6.8.2: Practice Test
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Practice Test
In the following exercises, factor completely.
80a2+120a3
5m(mโ1)+3(mโ1)
x2+13x+36
p2+pqโ12q2
xyโ8y+7xโ56
40r2+810
9s2โ12s+4
6x2โ11xโ10
3x2โ75y2
6u2+3uโ18
x3+125
32x5y2โ162xy2
6x4โ19x2+15
3x3โ36x2+108x
In the following exercises, solve
5a2+26a=24
The product of two consecutive integers is 156. Find the integers.
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.
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)=โ16t2+64t+ models the height, h, of the ball above the ground as a function of time, t. Find: โ the zeros of this function which tells us when the ball will hit the ground. โ the time(s) the ball will be 128 feet above the ground. โ the height the ball will be at t=4 seconds.
For the function, f(x)=x2โ7x+5, โ find when f(x)=โ7 โ Use this information to find two points that lie on the graph of the function.
For the function f(x)=25x2โ81, find: โ the zeros of the function โ the x-intercepts of the graph of the function โ the y-intercept of the graph of the function.