Solving Two-Step Inequalities

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. It typically involves addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides: -4x ≤ 40. Then divide by -4 (remember to flip the inequality): x ≥ -10.

Tags

CCSS.7.EE.B.4B

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Tags

CCSS.6.EE.B.8

Front

Solve for k: 2k - 9 ≤ -19.

Back

Add 9 to both sides: 2k ≤ -10. Then divide by 2: k ≤ -5.

Tags

CCSS.7.EE.B.4B

Front

What is the solution to the inequality -9a - 1 < 26?

Back

Add 1 to both sides: -9a < 27. Then divide by -9 (flip the sign): a > -3.

Tags

CCSS.6.EE.B.8

Front

How do you interpret the solution x < -5?

Back

The solution x < -5 means that x can be any number less than -5.

Tags

CCSS.6.EE.B.8

Front

Solve the inequality -4x + 1 > 21.

Back

Subtract 1 from both sides: -4x > 20. Then divide by -4 (flip the sign): x < -5.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality -3x - 4 < 5?

Back

Add 4 to both sides: -3x < 9. Then divide by -3 (flip the sign): x > -3.

Tags

CCSS.6.EE.B.8

Front

What is the first step in solving a two-step inequality?

Back

The first step is usually to isolate the term with the variable by adding or subtracting a constant from both sides.

Tags

CCSS.7.EE.B.4B

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to', indicating that the value can be less than or exactly equal to the number.

Tags

CCSS.6.EE.B.8