Geometry
Quadratics Testa
Short Answer
Find the product.
1. (3 p  7)( 2 p  5)
2. (3t  1)(t  2)
3. (2n  5) 2
4. (8p – 7)(8p + 7)
Factor each expression.
5. d2 + 5d – 14
6. d2 - 2d - 48
7. 20x2 + 21x – 27
8. 6g2 – g – 40
Solve the equation by factoring.
2
9. 2t  3t  35  0
2
10. 2t  2t  24  0
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
11. 4 x 2  10 x  7  2
12. 2d2 - 3d - 6 = 0
Use any method to solve the equation. If necessary, round to the nearest hundredth.
13. 4d2 - 20d + 25 = 0
14. x2 + 3x – 5 = 0
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 15. Find the coordinates of the midpoint of the segment whose endpoints are H(8, 2) and K(6, 10).
a. (7, 6)
b. (1, 4)
c. (14, 12)
d. (2, 8)
____ 16. Identify the hypothesis and conclusion of this conditional statement:
If two lines intersect at right angles, then the two lines are perpendicular.
a. Hypothesis: The two lines are perpendicular. Conclusion: Two lines intersect at right
angles.
b. Hypothesis: Two lines intersect at right angles. Conclusion: The two lines are
perpendicular.
c. Hypothesis: The two lines are not perpendicular. Conclusion: Two lines intersect at right
angles.
d. Hypothesis: Two lines intersect at right angles. Conclusion: The two lines are not
perpendicular.
____ 17. Justify the last two steps of the proof.
Given:
and
Prove:
R
S
T
U
Proof:
1.
2.
3.
4.
1. Given
2. Given
3.
4.
a. Symmetric Property of ; SSS
b. Reflexive Property of ; SAS
c. Reflexive Property of ; SSS
d. Symmetric Property of ; SAS
____ 18. Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.
a. 11
b. 7.8
c. 61
d. 14.9
3
____ 19. Graph the equation y =  x – 1.
4
____ 20. Find the values of the variables in the parallelogram. The diagram is not to scale.
29
102
y°
z°
a.
b.
x°
c.
d.