Inequalities worksheets! Here are some fun and engaging worksheets to help students practice inequalities:
Worksheet 1: Simple Inequalities
* Identify the inequality symbol and write the correct answer (>, <, ≠)
* Simplify the inequality by combining like terms
* Write the inequality in the simplest form
Example:
2x + 3 > 5
Answer: 2x > 2
Worksheet 2: Comparing Inequalities
* Compare two inequalities with the same variable
* Determine which inequality is true for a given value of the variable
Example:
x + 2 > 4 and 2x – 1 > 3
Answer: x + 2 > 4 is true if 2x – 1 > 3 is true for x = 3
Worksheet 3: Inequalities with Multiplication and Division
* Multiply or divide both sides of an inequality by a number (keeping the inequality sign)
* Simplify the inequality by combining like terms
Example:
2x > 6
Answer: x > 3
Worksheet 4: Inequalities with Addition and Subtraction
* Add or subtract both sides of an inequality by a number (keeping the inequality sign)
* Simplify the inequality by combining like terms
Example:
x + 2 > 5
Answer: x > 3
Worksheet 5: Inequalities with Systems
* Solve a system of two linear inequalities with two variables
* Graph the solution region and find the coordinates of the vertices
Example:
2x + y > 4
x – 2y > -3
Answer: (x, y) = (3, 1), (x, y) = (1, 3)
Worksheet 6: Inequalities with Absolute Value
* Solve an inequality with absolute value
* Simplify the inequality by combining like terms
Example:
|2x + 1| > 3
Answer: x > 2 or x < -1
Bonus Worksheet: Solve the Inequality
* Solve a more complex inequality involving multiple operations (multiplication, division, addition, subtraction)
* Simplify the inequality by combining like terms
Example:
3x – 2 > 7
Answer: x > 3
Remember to provide ample opportunities for students to practice and reinforce their understanding of inequalities. Encourage them to verbalize their thinking and explain their solutions to ensure they grasp the concepts.
