1 of 16
Solve the problem. Greg is opening a car wash. He estimates his cost equation as C = 6000 + 0.06x and his revenue equation as R = 1.7x, where x is the number of cars washed in a six-month period. Find the number of cars that must be washed in a six-month period for Greg to make a profit.

At least 3,659 cars
At least 2,659 cars
At least 366 cars
At least 36,586 cars

2 of 16
Solve the polynomial equation by factoring and then using the zero product principle.
6×3+54×2+120x = 0

{-1/5, -4}
{0, -5, -4}
{0, 5, 4}
{-5, -4}

3 of 16
Find all values of x satisfying the given conditions:
y = (x + 9)3/2 and y = 343

{37 – 9}
{58}
{-2}
{40}

4 of 16
Solve the compound inequality. Other than Ø, use interval notation to express the solution set and graph the solution set on a number line.
-17 -3x + 4 -8

[4, 7]

(-7, -4)

[-7, -4]

(4, 7)

5 of 16
Find all values of x satisfying the given conditions.
y = x2/3 – 5×1/3 and y = -4

1, 4
1, 64
-64, -1
-4, -1

6 of 16
Solve the absolute value inequality. Other than Ø, use interval notation to express the solution set and graph the solution set on a number line.
|x + 8|

(-10, -6)

Ø

(-, -10) (-6, )

[-10, -6]

7 of 16
Solve the compound inequality. Other than Ø, use interval notation to express the solution set and graph the solution set on a number line.
6 (7/5)x – 1

[5, 6)

[5, 10)

(5, 10]

(5, 6]

8 of 16
Solve and check the equation:
x3/2 = 343

{7}
{37 }
{24017}
{49}

9 of 16
Solve the radical equation, and check all proposed solutions:
(x+3) = 9

{81}
{78}
{84}
{144}

10 of 16
Solve the problem. Parts for an automobile repair cost $448. The mechanic charges $28 per hour. If you receive an estimate for at least $532 and at most $616 for fixing the car, what is the time interval, in hours, that the mechanic will be working on the job?

[1, 6]
[1, 3]
[3, 6]
[19, 22]

11 of 16
Solve the linear inequality. Other than Ø, use interval notation to express the solution set and graph the solution set on a number line.
20x + 28 4(4x + 5)

(-, -2]

(9, )

(-, 9]

(-, 9)

12 of 16
Solve the problem. A spinner has ten regions numbered 1 through 10. If the spinner is spun 100 times, we would expect about 10 of the outcomes to be Region 1. It can be determined that the spinner is unbalanced if x, the number of outcomes that result in Region 1, satisfies:

|x-10
________________________________________3|1.645

Describe the number of outcomes that determine an unbalanced spinner that is spun 100 times.

Between 9 and 17 outcomes
Fewer than 9 or more than 17 outcomes
Fewer than 6 or more than 14 outcomes
Between 6 and 14 outcomes

13 of 16
Solve the linear inequality. Other than Ø, use interval notation to express the solution set and graph the solution set on a number line.
4x + 3

[9, )

(9, )

(-, 9]

(-, 9)

14 of 16
Solve the polynomial equation by factoring and then using the zero product principle:
5×4 – 45×2 = 0

{0}
{-35, 0, 35}
{-3, 0, 3}
{-3, 3}

15 of 16
Solve the absolute value equation or indicate that the equation has no solution:
| 2×2 – x – 1| = 3

{1 – 33
________________________________________4,-1 + 33
________________________________________4}

{- 1 – 33
________________________________________4,-1 + 33
________________________________________4}

{1 – 33
________________________________________4,1 + 33
________________________________________4}
Ø

16 of 16
Solve the compound inequality. Other than Ø, use interval notation to express the solution set and graph the solution set on a number line.
-35 -5x – 5

(2, 6]

(-6, -2]

[2, 6)

[-6, -2)