Name: ____________________________________________________________________ Date: ____________________________________ Period: __________
Algebra 2 – Unit 1 Practice Test
Part 1: Factor the following expressions. Use one of the following methods: Trident Method, Difference of Squares, or Factoring the GCF.
1. 15x2 – 20x
2. 6x2 – 17x – 3
3. 64x2 – 49
4. 5x3 – 40x2 + 75x
Part 2: For each of the following problems: Factor and use the Zero-Product Property to solve. If the equation is not factorable, then solve using another
method such as Completing the Square or the Quadratic Formula.
5. x2 + 4x = 8
6. 3x2 +8x + 4 = 0
7. 81x2 – 49 = 0
8. 25x2 + 75x = 0
9. x2 = 4 – x
10. 4x2 + 14x – 35 = 3x – 2x2
11. x2 – 7x = 0
12. (x – 5)2 = 100
13. 4x2 + 64 = 0
14. 2x2 + 3x = 2x – 1
Part 3: Simplify the following complex numbers. Leave your answers in standard form.
15. (4 + 5i) + (-3 – 2i)
16. (-6 + 2i) – (4 – 3i)
17. (1 + i)(2 – 3i)
18.
5+3i
1−2i
Part 4: Vocabulary. – Answer each question completely.
19. What is the “Quadratic Formula” and how is it used?
20. Give an example of a problem that can be factored using “Difference of Squares” and then factor it.
21. Give an example of a binomial whose terms have a greatest common factor. Then factor that binomial.
22. Give an example of the Zero-Product Property being used to solve a quadratic equation.
23. Give an example of “Completing the Square” being used to solve a quadratic equation.
Part 5: Projectile Motion
24. Use the formula for Vertical Motion given below:
h = -16t2 + v0t + h0
The winner of the science fair in Volusia County in 2003 created a tennis ball cannon that would launch tennis balls
into the air at an initial upward velocity of 64 feet per second. The tennis ball cannon was tested out on a platform
that stood 80 feet high. How long did it take for a ball to reach the ground after being launched?
Name: ____________________________________________________________________ Date: ____________________________________ Period: __________
Algebra 2 – Unit 1 Practice Test Number 2
Part 1: Factor the following expressions. Use one of the following methods: Trident Method, Difference of Squares, or Factoring the GCF.
1. 36x2 – 18x
2. 25x2 – 81
3. 9x2 – 9x – 10
4. 6x3 – 48x2 + 90x
Part 2: For each of the following problems: Factor and use the Zero-Product Property to solve. If the equation is not factorable, then solve using another
method such as Completing the Square or the Quadratic Formula.
5. x2 + 15x = 0
6. 2x2 – 5x – 3 = 0
7. 25x2 = 36
8. 49x2 + 14x = 0
9. x2 + 14x = 26
10. x2 + x = 6 – 3x
11. 25x2 + 100 = 0
12. (x – 6)2 = 16
13. 7x2 – 21 = 5x2 – x
14. 2x2 + 4x = 6 – 2x
Part 3: Simplify the following complex numbers. Leave your answers in standard form.
15. (-5 + 4i) + (-7 – 8i)
16. (10 + 3i) – (8 – i)
17. (8 + 3i)(5 – 4i)
18.
2+4i
5−7i
Part 4: Vocabulary. – Answer each question completely.
19. What is the “Quadratic Formula” and how is it used?
20. Give an example of a problem that can be factored using “Difference of Squares” and then factor it.
21. Give an example of a binomial whose terms have a greatest common factor. Then factor that binomial.
22. Give an example of the “Zero-Product Property” being used to solve a quadratic equation.
23. Give an example of “Completing the Square” being used to solve a quadratic equation.
Part 5: Projectile Motion
24. Use the formula for Vertical Motion given below:
h = -16t2 + v0t + h0
A softball player lobs a ball up in the air at 20 feet per second. She is standing on a box 3 feet off the ground when she
throws so that the starting height of the ball is 8 feet. Another player on the team catches the ball when it is 2 feet off
the ground. How long was the ball in the air?