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 often involves addition or subtraction followed by multiplication or division.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 5x - 7 ≥ 8?

Back

Add 7 to both sides: 5x ≥ 15. Then divide by 5: x ≥ 3.

Tags

CCSS.7.EE.B.4B

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 9x - 3 > 6?

Back

Add 3 to both sides: 9x > 9. Then divide by 9: x > 1.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 4x - 4 > 8?

Back

Add 4 to both sides: 4x > 12. Then divide by 4: x > 3.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality 7k - 2 ≥ -9?

Back

Add 2 to both sides: 7k ≥ -7. Then divide by 7: k ≥ -1.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality -2x + 7 < 19?

Back

Subtract 7 from both sides: -2x < 12. Then divide by -2 (remember to flip the inequality): x > -6.

Tags

CCSS.7.EE.B.4B

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips when you multiply or divide both sides by a negative number.

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.

Tags

CCSS.7.EE.B.4B