NAME:_________________________________________________
Algebra 2/Trig – Unit 6: Solving Equations and Inequalities REVIEW SHEET
DATE:________
PERIOD:______
RADICAL EQUATIONS
1. If
2 x  1  2  5, then x is equal to
(1) 1
(3) 5
(2) 2
(4) 4
2. Solve for x:
3. The number of dogs, D, housed at a county animal shelter is modeled by the function D  4 2 M  50, where
M is the number of months the shelter has been open. How many months will it take for 74 dogs to be housed at
the shelter?
ABSOLUTE VALUE EQUATIONS
4. Solve for all values of x: |
5. Find the solution set of |
|
|
ABSOLUTE VALUE INEQUALITIES
6. Which is the solution set of the inequality
|
|
?
7. Which inequality is represented by the accompanying graph?
(1) x  2  5
(3) x  1  5
(2) x  3  2
(4) x  5  2
|
8. The inequality |
for Toledo, Ohio. Solve for C.
represents the range of monthly average temperatures, C, in degrees Celsius,
DIRECT AND INVERSE VARIATION
9. Carol notices that the number of customers who visit her coffee shop varies inversely with the
average daily temperature. Yesterday, the average temperature was 40° and she had 160 customers. If
today’s average temperature is 25°, how many customers should she expect?
(1) 100
(3) 256
(2) 145
(4) 1,000
10. If x varies directly as y and x = 8 when y = 12, find x when y = 30.
(1) 30
(3) 20
(2) 45
(4) 15
11. If y varies inversely as the square of x and x = 3 when y = 6, find y when x = 2