Unit Test: Quadratic Equations and Solutions
5th 6 weeks
1. The factored form of a quadratic equation
is (7𝑥 − 3)(2𝑥 − 5). What are the
solutions of the quadratic equation?
A 𝑥 = 3 and 𝑥 = 5
3
5
B 𝑥 = 7 and 𝑥 = − 2
3
5
7
2
C 𝑥 = 7 and 𝑥 = 2
D 𝑥 = 3 and 𝑥 = 5
4. If an object is dropped from a hot air
balloon whose height is 200 feet, the height
of the object t seconds later (neglecting air
resistance) is given by the equation
ℎ = 200 − 16𝑡 2 where h is the height in
feet. What is the height of the object after
2.5 seconds?
F
G
H
J
3.5 ft
100 ft
120 ft
160 ft
2. Solve for 3𝑥 2 − 20𝑥 + 12 = 0
F
2
3
and 6
5. Graph the equation in number 4 on your
calculator and find the approximate number
of seconds it takes the object to hit the
ground.
2
G − 3 and 6
4
H − 3 and − 3
J
4
3
and 3
A
B
C
D
3. Which of the following are solutions to
the equation 2𝑥 2 + 2𝑥 = 4 − 𝑥
1
A 𝑥 = 4 and 𝑥 = − 2
B 𝑥 = −4 and 𝑥 =
C 𝑥=
D 𝑥=
−3+𝑖√23
4
−3+√41
4
1
2
and 𝑥 =
and 𝑥 =
−3−𝑖√23
4
−3−√41
4
2 seconds
3.5 seconds
4 seconds
12.5 seconds
6. What are the roots of the quadratic
equation 𝑥 2 − 5𝑥 + 4 = 0?
F
G
H
J
-1 and -4
-1 and 4
1 and -4
1 and 4
Unit Test: Quadratic Equations and Solutions
5th 6 weeks
7. What are the roots of the function
graphed?
A
B
C
D
(1, -9) and (0, -8)
(0, -2) and (0, 4)
(-2, 0) and (4, 0)
(2, 0) and (-4, 0)
9. The graph shows the roots of a quadratic
equation.
A
B
C
D
𝑥 2 + 2𝑥 − 8 = 0
2𝑥 2 + 4𝑥 − 16 = 0
3𝑥 2 + 6𝑥 − 24 = 0
4𝑥 2 + 8𝑥 − 34 = 0
10. Solve 2𝑥 2 − 2𝑥 − 12 = 0
8. One of the roots of the quadratic equation
0 = 2𝑥 2 + 11𝑥 − 6 is − 6. What is the
other root of the equation?
F -2
1
G −2
H
1
2
J 2
F
G
H
J
-3 and -2
-6 and 1
3 and -2
6 and -1
Unit Test: Quadratic Equations and Solutions
5th 6 weeks
Test
Item
1
2
3
4
5
6
7
8
9
10
Answer
C
Source
Problem Source
TAK S
Obj #
Item Type
A.10A #1
Holt Math Ready for TAKS
Benchmark Tests grade 10 Pretest
5
MC
F
A.10A #2
Holt Math Ready for TAKS
Benchmark Tests grade 10 Pretest
5
MC
D
A.10A #3
Holt Math Ready for TAKS
Benchmark Tests grade 10 Pretest
5
MC
G
A.10A #4
Holt Math Ready for TAKS
Benchmark Tests grade 10 Pretest
5
MC
B
A.10A #5
Holt Math Ready for TAKS
Benchmark Tests grade 10 Pretest
5
MC
Holt Math Ready for TAKS
Benchmark Tests grade 10 Pretest
5
MC
J
A.10B #1
C
A.10B #2
Holt Math Ready for TAKS
Benchmark Tests grade 10 Pretest
5
MC
H
A.10B #3
Holt Math Ready for TAKS
Benchmark Tests grade 10 Pretest
5
MC
A
A.10B #4
Holt Math Ready for TAKS
Benchmark Tests grade 10 Pretest
5
MC
H
A.10A #2
Holt Math Ready for TAKS
Benchmark Tests grade 10 Post Test
5
MC