PRE-CALC TEST
Solving Quadratic Equations by Factoring
1. 15a2– 3a = 3-7a
2. 8x 2 + 21 = −59x
3. 10b 2 = 27b – 18
4. 7k 2 − 6k + 3 = 3
Quadratic Formula
5. 8n 2 + 7n − 15 = −7
6. k 2 − 31 − 2k = −6 − 3k 2 − 2k
7. 8n 2 + 4n − 16 = −n 2
8. 9n2 = 4 + 7n
Solving Quadratic Equations with Square Roots
9. 3 − 4x 2 = −85
10. 2k 2 − 2 = 144
11. 4r 2 + 1 = 325
12. 8b 2 − 7 = 193
13. Ms. Travis wants to have a clown deliver balloons to her secretary’s office. Clowns R Fun charges
$1.25 per balloon and $6 delivery. Singing Balloons charges $1.95 per balloon and $2 for delivery. What
is the minimum number of balloons Mrs. Travis needs to purchase in order for Clowns R Fun to have a
lower price than Singing Balloons?
14. Kenneth has a bag containing 35 nickels and quarters. The total value of these coins is less than
$2.50. What is the maximum number of quarters that meets these conditions?
Solving Absolute Value Equations
15. 5 |9 − 5n| − 7 = 38
16. 3 |3 − 5r |− 3 = 18
17. 6| 1 − 5x| − 9 = 57
18. 2 – 5| 5m − 5 |= −73
Rational and Radical Equations
23. It takes James 16 hours to harvest a field. Norachai can harvest the same field in 10 hours. If they
worked together how long would it take them?