Honors Algebra II
Name: ________________________________
Chapter 2 Review
Solve for x and list any restrictions on any variables.
1.
cx + d = e
2.
a (x – 1) = 7a
3.
ax – bx = c
4.
𝑥−2
2
=𝑚+𝑛
Solve each inequality and write the answer in set-builder notation. Also,
graph the solution set.
5.
3 [4x – (2x – 7)] < 2 (3x – 5)
6.
-2 – [7 – 5(1 – 3x)] ≤ -11 – (9 + 5x)
7.
2 – 3z ≥ 7 (8 – 2z) + 12
8.
3 (x + 4) – 2 (3x + 4) ≤ 4x – 1
Solve each compound inequality and graph the final solution.
9.
7x – (5 – 2x) < 16 – 3x
10.
3𝑥
11.
2 (3w – 5) + 5 ≤ 7
OR
12.
3x – 5 > 16
8x + 2 > -14
4
𝑥
𝑥
3
6
− >
AND
AND
OR
5𝑥
9
2 (3x – 5) > -11 – (8x – 3)
+1<
2𝑥
3
8 + w > -4
Solve each absolute value equation. Be sure to check your solutions.
13.
|3z + 6| = 15
14.
|4x| – 5 = 23
Solve each absolute value inequality and graph the final solution.
15.
|2x – 5| ≤ 11
16.
|3 – 2t| > 9
17.
-|x – 11| + 3 ≤ -2
18.
3 |2x + 5| – 7 < 14
Solve each word problem. Remember a picture, equation, or inequality will be
helpful in solving each situation.
19.
A coin bank contains twice as many nickels as quarters, three times as many
pennies as quarters, and no dimes. If the bank contains $7.60, how many of each
coin does it contain?
20.
Marsha would like her bowling average to be 131. If she bowled 118, 141,
127, and 130 in four games, what must she bowl in the next game to achieve her
goal?
21.
The sum of 3 numbers is 85. The first number is nine less than 3 times the
third and the second number is 4 more than twice the third number. What is the
second number?
22.
The drama club sold student tickets for $3 and adult tickets for $5 to the play.
If they sold a total of 194 tickets and earned $858, how many of each ticket did they
sell?
23.
The second angle of a triangle is 20° larger than the first angle. The third
angle is 32° less than twice the first angle. What is the measure of the third angle?