Multistep inequalities

Front

What is a multistep inequality?

Back

A multistep inequality is an inequality that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, or division.

Tags

CCSS.6.EE.B.8

Front

Solve for x: x/6 + 13 ≥ 24

Back

x ≥ 66

Tags

CCSS.7.EE.B.4B

Front

Solve for x: 2x − 33 < 15

Back

x < 24

Tags

CCSS.7.EE.B.4B

Front

Solve for x: x − 14 < 22

Back

x < 36

Tags

CCSS.7.EE.B.4B

Front

Solve for x: 8x ≥ -32

Back

x ≥ -4

Tags

CCSS.6.EE.B.8

Front

What is the first step in solving the inequality x/6 + 13 ≥ 24?

Back

Subtract 13 from both sides to isolate the term with x.

Tags

CCSS.7.EE.B.4B

Front

When multiplying or dividing both sides of an inequality by a negative number, what happens to the inequality sign?

Back

The inequality sign flips direction.

Tags

CCSS.6.EE.B.8

Front

What does the solution x < 24 represent on a number line?

Back

It represents all numbers to the left of 24, not including 24 itself.

Tags

CCSS.6.EE.B.8

Front

How do you check if your solution to an inequality is correct?

Back

Substitute a value from the solution set back into the original inequality to see if it holds true.

Tags

CCSS.6.EE.B.5

Front

What is the solution set for the inequality 3x + 5 < 20?

Back

x < 5.

Tags

CCSS.7.EE.B.4B