Quadratics Test Review
Short Answer
Factor the polynomial by finding the GCF.
1.
Find the product.
2.
3.
4.
5. (4p – 6)(4p + 6)
Factor the expression.
6. d2 + 10d + 9
7. d2 + 6d - 40
8. p2 – 15p – 54
9. 21x2 + 55x + 14
10. 6g2 + 11g – 35
Solve the equation using the zero-product property.
12.
11.
Solve the equation by factoring.
13.
14.
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
2
16. 4d - 12d + 9 = 0
15.
Use any method to solve the equation. If necessary, round to the nearest hundredth.
17.
18. x2 + 2x – 13 = 0
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Find the distance between points P(5, 3) and Q(1, 7) to the nearest tenth.
a. 11.7
b. 5.7
c. 8
d. 32
____
2. Find the coordinates of the midpoint of the segment whose endpoints are H(4, 2) and K(6, 10).
a. (10, 12)
b. (5, 6)
c. (1, 4)
d. (2, 8)
____
____
____
3. Identify the hypothesis and conclusion of this conditional statement:
If tomorrow is Thursday, then yesterday was Tuesday.
a. Hypothesis: Yesterday was not Tuesday. Conclusion: Tomorrow is Thursday.
b. Hypothesis: Tomorrow is Thursday. Conclusion: Yesterday was Tuesday.
c. Hypothesis: Tomorrow is Thursday. Conclusion: Yesterday was not Tuesday.
d. Hypothesis: Yesterday was Tuesday. Conclusion: Tomorrow is Thursday.
1
4. Graph y = x + 4.
2
5. Justify the last two steps of the proof.
Given:
and
Prove:
P
Q
R
S
Proof:
1.
1. Given
2.
2. Given
3.
4.
3.
4.
a. Reflexive Property of ; SAS
b. Reflexive Property of ; SSS
c. Symmetric Property of ; SAS
d. Symmetric Property of ; SSS
____
6. Find the values of the variables in the parallelogram. The diagram is not to scale.
38
115
y°
z°
a.
b.
x°
c.
d.