Topic 1: Translating a sentence by using an inequality symbol

  1. Translate the sentence "x is at least 5" into an inequality: x ≥ 5.
  1. Write an inequality for "y is less than 12": y < 12.

Topic 2: Translating a sentence into a one-step inequality

  1. Translate "The number of books is more than 10" into an inequality: b > 10.
  1. Write an inequality for "The temperature is at most 30 degrees": t ≤ 30.

Topic 3: Graphing a linear inequality on the number line

  1. Graph the inequality x > 3 on a number line: Open circle at 3, arrow pointing right.
  1. Graph the inequality y ≤ -2 on a number line: Closed circle at -2, arrow pointing left.

Topic 4: Writing an inequality given a graph on the number line

  1. Write the inequality for a number line graph showing all numbers greater than or equal to 4: x ≥ 4.
  1. Write the inequality for a number line graph showing all numbers less than -1: x < -1.

Topic 5: Graphing a compound inequality on the number line

  1. Graph the compound inequality 2 < x ≤ 6 on a number line: Open circle at 2, closed circle at 6, shaded between.
  1. Graph the compound inequality -3 ≤ y < 1 on a number line: Closed circle at -3, open circle at 1, shaded between.

Topic 6: Additive property of inequality with whole numbers

  1. Solve for x: x + 4 > 7: x > 3.
  1. If y + 8 ≤ 15, find the solution set for y: y ≤ 7.

Topic 7: Additive property of inequality with integers

  1. Solve for x: x + (-5) ≥ 2: x ≥ 7.
  1. If z + 3 < -4, find the solution set for z: z < -7.

Topic 8: Multiplicative property of inequality with integers

  1. Solve for x: 3x > 12: x > 4.
  1. If -2y ≤ 8, find the solution set for y: y ≥ -4.

Topic 9: Solving a two-step linear inequality: Problem type 1

  1. Solve for x: 2x + 5 < 11: x < 3.
  1. If 3y - 4 ≥ 8, find the solution set for y: y ≥ 4.

Topic 10: Solving a two-step linear inequality: Problem type 2

  1. Solve for x: -3x + 2 > 8: x < -2.
  1. If 4y - 7 ≤ -3, find the solution set for y: y ≤ 1.

Topic 11: Solving a linear inequality with multiple occurrences of the variable: Problem type 1

  1. Solve for x: 5x - 2x + 4 > 10: x > 2.
  1. If -7y - 3y + 5 ≤ 15, find the solution set for y.