# ALG U4 ws Quiz 3 Review

```Name ___________________________________________________________ Unit 4 Quiz 3 Review
Homework
Algebra
#1 - #6, factor completely.
1. x 2 − x − 72
3. 10 x 2yz − 22x 3y 2z + 6 x 3yz 2
5. 8 x 3 − 72xy 2
2. 2x 2 − 18 x − 72
4. 15b 2 − 7b − 4
6. 16 x 2 − 56 x + 49
7. Find the dimensions of a rectangle that has an area of 6 x 2 + 13x + 5 .
#8 -#13, solve. Show all algebraic steps.
8. 5c 3 = 45c
9. y 2 + 4y − 45 = 0
10. 3x 2 − 26 x = − 16
11. 4a 2 =
9
64
12. d 2 − 81 = 0
13. x 2 − 16 x + 64 = 0
#14 - #15, solve. Show all equations and algebra.
14. The area of a rectangle has a representation
2
of A = x − 3x . If the actual area of the
rectangle is 238 square feet, what are the
possible values of x?
15. Julian kicked a soccer ball into the air with an
initial upward velocity of 40 feet per second.
The height h in feet of the ball above the
ground can be modeled by h = − 16t 2 + 40t ,
where t is the time in seconds after Julian
kicked the ball. Find the time it takes the ball
to reach the ground.
```