Inequalities Test Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol ≤ mean?

Back

The symbol ≤ means 'less than or equal to'. It indicates that one value is either less than or equal to another value.

Front

What does the symbol ≥ mean?

Back

The symbol ≥ means 'greater than or equal to'. It indicates that one value is either greater than or equal to another value.

Front

How do you solve the inequality 2x + 3 ≤ 9?

Back

Subtract 3 from both sides to get 2x ≤ 6, then divide by 2 to find x ≤ 3.

Front

If Megan has saved $175 and wants to buy a phone for $220, how much more does she need?

Back

Megan needs $220 - $175 = $45 more.

Front

How much does Megan need to save each week to buy the phone in 4 weeks?

Back

Megan needs to save at least $45 / 4 = $11.25 per week.

Front

What is a possible solution for the inequality x < 10?

Back

Any number less than 10, such as 8, is a possible solution.

Front

How do you determine the maximum number of days a van can be rented for $625 if it costs $60 per day plus a $145 insurance fee?

Back

Set up the inequality: 60d + 145 ≤ 625. Solve for d to find d ≤ 8 days.

Front

What is the first step to solve the inequality x + 11 ≥ 23?

Back

Subtract 11 from both sides to isolate x.

Front

What is the solution to the inequality x + 11 ≥ 23?

Back

After subtracting 11, the solution is x ≥ 12.