Topic 1: Graphing a linear inequality on the number line
  1. Graph the inequality x ≥ -3 on the number line.
  1. Graph the inequality x < 5 on the number line.
Topic 2: Set-builder and interval notation Topic 3: Solving an absolute value equation: Problem type 2
  1. Solve the equation |x - 3| = 5.
  1. Solve the equation |x + 2| = 7.
Topic 4: Solving an absolute value equation: Problem type 3
  1. Solve the equation |2x - 1| = 9.
  1. Solve the equation |3x + 4| = -10.
Topic 5: Solving an absolute value equation: Problem type 4
  1. Solve the equation -4|x - 5| = -24
  1. Solve the equation 3|3x - 2| = 15
Topic 6: Translating a sentence into a one-step inequality
  1. Translate "A number is at least 12" into a one-step inequality.
  1. Translate "A number is at most 7" into a one-step inequality.
Topic 7: Writing an inequality for a real-world situation
  1. A car rental company charges $30 per day plus $0.20 per mile. Write an inequality to represent the situation where the total cost must be less than $50.
  2. A store offers a discount if you buy more than 5 items. Write an inequality to represent the number of items needed to qualify for the discount.
Topic 8: Writing an inequality given a graph on the number line Topic 10: Solving a two-step linear inequality: Problem type 2
  1. Solve the inequality 3x + 4 > 10 and graph the solution on a number line.
  1. Solve the inequality 2x - 5 ≤ -9 and graph the solution on a number line.
Topic 11: Solving a linear inequality with multiple occurrences of the variable: Problem type 1
  1. Solve the inequality -2x + 8 < 5x - 6.
  1. Solve the inequality 4x - 7 ≥ x + 8.
Topic 12: Solving a compound linear inequality: Graph solution, basic
  1. Solve the compound inequality -2 ≤ x+2 < 5 and graph the solution on a number line.
  1. Solve the compound inequality -3 < 2x + 1 ≤ 7 and express the solution in interval notation.
Topic 13: Solving a compound linear inequality: Interval notation
  1. Solve the compound inequality 1 ≤ 3x - 2 < 10 and express the solution in interval notation.
Topic 14: Solving a decimal word problem using a two-step linear inequality
  1. A phone plan charges $0.10 per minute plus a $15 monthly fee. Write and solve an inequality to find how many minutes you can use if your bill must be less than $25.
  1. A coffee shop sells drinks for $2.50 each plus a $5 service fee. Write and solve an inequality to determine how many drinks you can buy if your total cost must be at most $20.