Word Problems-Linear Equations & Inequalities in One Variable

Front

What does the phrase 'at least' indicate in an inequality?

Back

It indicates that the value is greater than or equal to a certain number, represented by the symbol ≥.

Front

If Johnny earns $15 per hour and wants to earn at least $105, what inequality represents how long he needs to work?

Back

15h ≥ 105

Front

How do you represent the cost of a taxi ride with a flat rate and a per-mile charge?

Back

1.75 + 0.65m < 10, where m is the number of miles.

Front

What inequality can be used to compare the costs of two gyms with different fees and monthly charges?

Back

50 + 20x < 18 + 30x, where x is the number of months.

Front

Katie wants to have at least $200 in her bank account. If she has $25 and earns $12 per dog walked, how many dogs must she walk?

Back

15 dogs.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is an inequality?

Back

A mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

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

Back

It means 'less than or equal to'.

Front

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

Back

It means 'greater than'.

Front

How do you solve a simple inequality like 2x + 3 < 7?

Back

Subtract 3 from both sides to get 2x < 4, then divide by 2 to find x < 2.