Name
Date
Pre-AP Precalc Test 2, Practice Test
You may not use a calculator on this portion. There is only one correct answer to each question.
1. If it takes a person 60 minutes to complete a homework assignment, then their work-rate for an
assignment is
a. 60 minutes/assignment
b. 1 assignment/ 60 minutes
c. x assignments/ 60 minutes
d. 1 assignment/30 minutes
2. The solution(s) to the quadratic x2 – 6x – 16 = 0 are
a. x = 8, -2
b. x = -8, 2
c. x = 8
d. x = 2
3. The solution(s) for the inequality |4x| > 16 are
a. x > 4
b. x < - 4
c. x> 4 AND x < -4
d. x > 4 OR x < -4
4. Given the equation
a.
b.
c.
d.
, the restrictions on the equation are
x≠3
x ≠ -3
x ≠ 3, -3
There are none!
5. If you invest $4,000 into an 18 month CD, and the annual rate of return is 3%, the total interest
earned is (use the equation I = PRT)
a. $720
b. $1080
c. $5080
d. $72000
6. True or false. The zero product property allows you to solve the problem x(x – 3) = 9.
a. True
b. False
7. The method best used to approximate the solutions to the quadratic 1.7x2 – 4.9x + 5.8 = 0 is
a. Factor into two binomials
b. Completing the square
c. Quadratic Formula
d. Graphing calculator
8. The solutions to absolute value inequality |3x – 9| ≥ -4 are
a. x ≥ 5/3
b. x ≤ -13/3
c. No solution
d. All reals
9. If Jonny can paint a fence in 3 hours, and Jennifer can paint a fence in 2 hours, how long would it
take them both to paint the fence?
a. 5/6 hours
b. 6/5 hours
c. 3 hours
d. 2 hours
10. For a given rectangle, the length is 3 times the width. If the perimeter of a rectangle is 28 inches,
the dimensions (length x width) of the rectangle are
a. 7 in x 7 in
b. 7 in x 21 in
c. 21 in x 7 in
d. Impossible. Rectangles don’t exist.
Name
Date
Pre-AP Precalc Practice Test 2, Free Response
You MAY use your calculator on this portion.
Solve the following.
11.
4 x  3 7 8x  1
 
2
4
4
12. x + 3 = x – 7
13. Give the answer to the following in interval notation. -10 < -2y – 8 < 9
14. Give the answer to the following in interval notation. 4 – 2x > 11
For 15-16, solve the quadratic (or quadratic like) equations.
15. 4x2 – 14x – 27 = 3
16. (x2 + 1)2 – 8(x2 + 1) + 15 = 0
17. Simplify
18. Solve
19. Solve
x  2 x 3
1
. Include any restrictions.

 2
x  3 x  5 x  2 x  15
4 z  3 3 8z  3
 
for z.
2
8
4
3
5x 2  14 x  2
20. Teddy can wash a car in an average of 30 minutes. Hannah can wash a car in an average of 40
minutes. How long will it take them to wash a car if they are working together? Round your
answer to the nearest minute.
21. Mike has a 67.5 test average after her first 4 tests. What range of scores could she make on the
fifth test to bring her test average up to at least a 70?
22. Carlos Beltran hit a fly ball with initial upward velocity of 90 ft/sec. The ball is three feet off of
the ground when he hit it. How long will it take for the ball to hit the ground? Round your
answer to the nearest hundredth.
1
h   (32)t 2  vot  ho
2