Solving Two-Step Inequalities Practice

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 first subtract 3 and then divide by 2.

Front

How do you solve the inequality 2x + 3 < 7?

Back

1. Subtract 3 from both sides: 2x < 4. 2. Divide by 2: x < 2.

Front

What does the solution x < 5 represent on a number line?

Back

It represents all numbers to the left of 5, not including 5 itself.

Front

What is the first step in solving the inequality 3x + 7 < 22?

Back

Subtract 7 from both sides: 3x < 15.

Front

How do you graph the inequality x > 4?

Back

Draw a number line, place an open circle on 4, and shade to the right to indicate all numbers greater than 4.

Front

What is the solution to the inequality 4x - 5 > 11?

Back

1. Add 5 to both sides: 4x > 16. 2. Divide by 4: x > 4.

Front

What does the symbol '>' mean in inequalities?

Back

'>' means 'greater than', indicating that the value on the left is larger than the value on the right.

Front

What is the solution to the inequality 3(x - 2) > 9?

Back

1. Distribute: 3x - 6 > 9. 2. Add 6: 3x > 15. 3. Divide by 3: x > 5.

Front

How do you represent the solution x < 3 on a graph?

Back

Draw a number line, place an open circle on 3, and shade to the left to indicate all numbers less than 3.

Front

What is the difference between '>' and '<' in inequalities?

Back

'>' means 'greater than' and '<' means 'less than'. They indicate the direction of the inequality.