1. Give the solution set for: x 3 9 > 4
a. (,16) (10, )
b. (-16, 16)
c. (-10, 16)
d. (,)
e. Empty set
2. Simplify: 3
27 x 3 y 5 z 6
a. 3xy 2 z 3
b. 3y 2 z 3
c. 9 xy 2 z 3
d. 9 xyz 2 (3 y 2 )
e. 3xyz 2 (3 y 2 )
3. If X varies directly with Y squared, and X = 5 when Y = 6, find X when Y = 3.
a. 0.8 b. 2.5 c. 5.0 d. 1.25 e. 5.5
2
x 3 y 2 z 5
4. Simplify the following: 2 1 for x, y, z 0
z yx
z 14 x2 y2 x2 x8 z14
a. b. c. 6 2 d. e. x8 y 2 z 21
x4 y6 z6 z y y6
5. Simplify: 16 ( 25 25 )
a. -40 b. 20 20 i c. 0 d. 20 20 i e. 40 i
, 6. Solve for x: b 3 x9 (b 2 ) 2 x8
25 25
a. -17 b. -25 c. -73 d. e.
7 7
7. The sum of two distinct integers is three times the smaller, while their product is twice their
sum. The smaller integer is which of the following:
a. 0 b. 3 c. 6 d. -3 e. -6
8. How many pounds of candy worth $3.50 per pound should be mixed with candy worth $5.00 per
pound to produce 12 pounds of candy worth $4.00 per pound?
a. 4 pounds b. 6 pounds c. 4.25 pounds d. 8 pounds e. none of these
1
9. Simplify:
1
1
1
1
2
2 1 3 3 2
a. b. c. d. e.
3 3 5 8 5
10. Which line below is perpendicular to the line 2y-3x = 5 ?
a. -4x + 6y = 15
b. 4x + 6y = 15
c. -15x + 10y = -4
d. -15x + 10y = 4
e. 3x + 2y = 5
a. (,16) (10, )
b. (-16, 16)
c. (-10, 16)
d. (,)
e. Empty set
2. Simplify: 3
27 x 3 y 5 z 6
a. 3xy 2 z 3
b. 3y 2 z 3
c. 9 xy 2 z 3
d. 9 xyz 2 (3 y 2 )
e. 3xyz 2 (3 y 2 )
3. If X varies directly with Y squared, and X = 5 when Y = 6, find X when Y = 3.
a. 0.8 b. 2.5 c. 5.0 d. 1.25 e. 5.5
2
x 3 y 2 z 5
4. Simplify the following: 2 1 for x, y, z 0
z yx
z 14 x2 y2 x2 x8 z14
a. b. c. 6 2 d. e. x8 y 2 z 21
x4 y6 z6 z y y6
5. Simplify: 16 ( 25 25 )
a. -40 b. 20 20 i c. 0 d. 20 20 i e. 40 i
, 6. Solve for x: b 3 x9 (b 2 ) 2 x8
25 25
a. -17 b. -25 c. -73 d. e.
7 7
7. The sum of two distinct integers is three times the smaller, while their product is twice their
sum. The smaller integer is which of the following:
a. 0 b. 3 c. 6 d. -3 e. -6
8. How many pounds of candy worth $3.50 per pound should be mixed with candy worth $5.00 per
pound to produce 12 pounds of candy worth $4.00 per pound?
a. 4 pounds b. 6 pounds c. 4.25 pounds d. 8 pounds e. none of these
1
9. Simplify:
1
1
1
1
2
2 1 3 3 2
a. b. c. d. e.
3 3 5 8 5
10. Which line below is perpendicular to the line 2y-3x = 5 ?
a. -4x + 6y = 15
b. 4x + 6y = 15
c. -15x + 10y = -4
d. -15x + 10y = 4
e. 3x + 2y = 5
