Download Chapter: Solving Linear Inequalities

Name: ____________________
Date: __________________ Class: ________
Lesson: Solving & Graphing Inequalities by Using Addition and Subtraction
*To solve an INEQUALITY, treat it almost exactly like an equation!
1. Solve. x + (-14) < 16
Rewrite:
2. Solve. y + 21 > 7
3. Solve. 8y + 3 > 9y -14
4. Solve. 3r - 17 ≥ 2r + 14
5. Joanna’s tests were 87, 93, 88, and 94.
What must her 5th test grade be to get a total of at least 459?
Classwork: Solve each inequality and graph it on a number line.
1. a - 12 < 6
2. 2x ≤ x + 1
3. 2x + 3 > x + 5
Solve each inequality.
4. 3x – 9 ≤ 2x + 6
5. -0.17x - 0.23 < 0.75 - 1.17x
6. 3(r - 2) < 2r + 4
Define a variable, write an inequality, and solve each problem.
7. A number decreased by -4 is at least 9.
8. Three times a number is less than twice the number added to 8.