Precalculus
Pretest 2 (through Lesson 12)
Name ______________________________
SHOW YOUR WORK
1. The ratio of Reds to Oranges was 5 to 2. If their combined total was 350, how many were not Red?
2. Find the sum of the measures of the interior angles and the sum of the measures of the exterior angles
of a regular decagon (10-sided figure).
3. A total of 52 dogs and cats were on the ranch. If three times the number of dogs exceeded the number
of cats by four, how many of each were on the ranch?
 x yz  2

4. Solve: 3x  2 y  z  7
4 x  y  2 z  9

6. Solve:
5. Solve:
3m  7  3m  7
7. Simplify:
1
2
3


2 x 1 4
2 8  2 2 2  2 2 2 2
8. Begin with ax2 + bx + c = 0 and derive the quadratic formula.
9. The triangle and the circle are tangent
at three points as shown. Find x and y.
6
10. Find x and y and z.
z°
2y + 2x
50°
70°
10
2y – 2x
y
x°
y
1
y°
11. In XYZ , YW is the angle bisector of XYZ.
Find c.
12. Find x.
Y
2
5
c
3x
X
3
4
W
6
4x + 1
Z
13. Solve by completing the square: 5  2 x2  6 x
14. Two 7-sided polygons are similar. A side of the larger polygon is 6 times as long as the
corresponding side of the smaller polygon. What is the ratio of the area of the larger polygon to the
area of the smaller polygon.
15. Use the quadratic formula to solve: 2 x2  4 x  5
a 2  m3
16. Simplify:
a 3m2
2
Scrambled Answers
(2,1, 1)
x7
x2
36
1
15
2
100
Exterior = 360°
am3  a 3
m5
2 2  4i  4 2i
3
3 1
  i
2 2
x = 1, y = 4
1
Interior = 1440°
Dogs = 14
Cats = 38
x = 140, y = 100, z = 120
ax 2  bx  c  0
b
c
x2  x   0
a
a
b
c
x2  x

a
a
2
b
b
c b2
x2  x  2    2
a
4a
a 4a
b  b 2  4ac

x  
2a 
4a 2

2
x
b
b 2  4ac

2a
4a 2
b
b 2  4ac
x

2a
4a 2
x
b  b 2  4ac
2a
3
6
i
2