Solve 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. For example, in the inequality 2x + 3 < 7, you would first subtract 3 from both sides and then divide by 2.

Front

How do you solve the inequality 6t + 4 ≤ -2?

Back

Subtract 4 from both sides to get 6t ≤ -6, then divide by 6 to find t ≤ -1.

Front

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

Back

You flip the inequality symbol. For example, if you have -2x > 6 and divide by -2, it becomes x < -3.

Front

Write the inequality that represents Triniti's savings situation.

Back

500 - 25x ≥ 200, where x is the number of weeks.

Front

Solve the inequality 8 + 4x > 24.

Back

Subtract 8 from both sides to get 4x > 16, then divide by 4 to find x > 4.

Front

What is the first step to solve the inequality 3x - 5 < 10?

Back

Add 5 to both sides to get 3x < 15.

Front

If Daniel can spend no more than $40 at the fair, what is the inequality for his spending?

Back

1.50x + 10 ≤ 40, where x is the number of rides.

Front

What does the solution x > 8 mean in terms of a two-step inequality?

Back

It means that the value of x must be greater than 8.

Front

How do you isolate the variable in the inequality 5x + 2 ≤ 12?

Back

Subtract 2 from both sides to get 5x ≤ 10, then divide by 5 to find x ≤ 2.

Front

What is the solution to the inequality 2x - 3 > 7?

Back

Add 3 to both sides to get 2x > 10, then divide by 2 to find x > 5.