Two-Step Inequalities Word Problems - Math 7

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable, often involving addition or subtraction followed by multiplication or division.

Front

How do you represent a word problem as an inequality?

Back

Identify the quantities involved, determine the relationship (greater than, less than, etc.), and translate the words into mathematical symbols.

Front

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

Back

The symbol '<' means 'less than' and indicates that the value on the left is smaller than the value on the right.

Front

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

Back

The symbol '>' means 'greater than' and indicates that the value on the left is larger than the value on the right.

Front

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

Back

The symbol '≤' means 'less than or equal to' and indicates that the value on the left is either smaller than or equal to the value on the right.

Front

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

Back

The symbol '≥' means 'greater than or equal to' and indicates that the value on the left is either larger than or equal to the value on the right.

Front

How do you solve the inequality 125x + 55 < 600 for x?

Back

First, subtract 55 from both sides: 125x < 545. Then, divide both sides by 125: x < 4.36.

Front

What is the first step in solving the inequality 3x + 20 ≤ 120?

Back

The first step is to subtract 20 from both sides: 3x ≤ 100.

Front

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

Back

When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign.

Front

If Olivia has 10 points and earns 5 points for each answer, how do you express the total points needed to pass as an inequality?

Back

The inequality is 5a + 10 ≥ 77, where 'a' is the number of answers.