Name __________________________________
Block ________
Due Date ________________
Geometry
Problem Set #2 Algebra Review and Chapter 1
MUST SHOW WORK for credit
Select the correct answer.
1. If 2 x  10  20, then x  5  ________
2. If 2r  5s and 5s  6t , what does r equal in terms of t ?
a) 5
a)
b) 10
c) 15
d) 20
e) 30
Answer: ______
12
t
15
b)
6
t
5
c) 3t
d) 15t
e) 30t
Answer: ______
Factor the following expressions completely.
3. 3 x 2  12
4. x 2  14 x  49
5. 2 x 2  7 x  15
Answer: _______________
Answer: _______________
Answer: _______________
Solve the following equations. Give all possible solutions.
6. 3x 2  9 x  0
7. x 2  7 x  6  0
Answer(s): _______________
Answer(s): _______________
Use the figures to the right to answer the following questions.
8. Given that:
OB bisects NOD
NOA  AOC  COD
N
A
mAOB is 25° less than mNOA
B
C
Find mNOD and mBOC
D
O
Answer:________________________
9. Given that:
AC  28, DB  35, and AB  53
Find AD, DC , and CB
A
Answer:
_________________________
10. Given that:
B
E
S
m1  (3 x  10)
m2  (6 x  8)
EMO is a right angle
AS bisects RAT
mRAT  112
C
D
P
R
1
3
4
T
2
M
O
A
Is 2  4 ? Justify your answer.
Answer: _____________
You may want to look up the midpoint formula to help with this question.
11. The coordinates of point A are (-5, 7) and of point B are (-13, 7). C is the midpoint of AB . Determine
the coordinates of point C.
Answer: _____________________