Name
Solve each equation. Check your answer.
1. 5 w + 8

12 w = 16

15 w 2. 3( x + 1) = 2( x + 11)
Write an equation to solve each problem. List your unknowns and define a variable.
3. What three consecutive integers have a sum of 126?
Solve each equation for y.
4.
4
9
( y 3) g
6. Solve. 0.5( c + 2.8)
 c = 0.6
c + 0.3
5. 3 y
 yz = 2 z
7. Solve. Two trains left a station at the same time. One traveled north at a certain speed and the other traveled south at twice that speed. After 4 hours, the trains were 600 miles apart. How fast was each train traveling?
8. Geometry Solve. The length of a rectangle is 5 centimeters greater than its width. The perimeter is 58 centimeters. What are the dimensions of the rectangle?
Solve each inequality. Graph the solution.
9. 3( x + 1) + 2 < 11 10. −2( w – 7) + 3 > w – 1

Solve each compound inequality. Graph the solution. Show the working graph and graph of solution set. Write solution set as a compound inequality.
11.
3 x > – 6 and 2 x < 6 12.
4 x ≥ − 12 and 7 x ≤ 7
13 . 6 x ≤ − 18 or 2 x > 18 14.
2 x < 3 − x or 2 x < x – 3
Solve each equation. Check your answers.
15.
2 x 1 5 16.
4

2 y
 
9
Solve each equation. Check for extraneous solutions.
17.
x 5 3 x

7 18.
2 z 1 3 z 2
19.
5 p 3 4 2 p 20.
7 y 3 1 0
Solve each inequality. Graph the solution. Check your solutions.
21.
  
4 22 . 5 y 3 15
23.
y

2
3
1 2 24.
x

5
3
3 6
25.
The diameter of a ball bearing in a wheel assembly must be between 1.758 cm and 1.764 cm.
What is the tolerance?