Solving Inequalities (Word Problems)

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you represent a word problem as an inequality?

Back

Identify the quantities involved, determine the relationship between them, and express it using inequality symbols.

Front

In the taxi cab problem, what does 'm' represent?

Back

In the taxi cab problem, 'm' represents the number of additional miles traveled.

Front

What is the first step in solving an inequality?

Back

The first step in solving an inequality is to isolate the variable on one side of the inequality.

Front

How do you solve the inequality 0.75n + 1.75 ≤ 20?

Back

Subtract 1.75 from both sides to get 0.75n ≤ 18.25, then divide by 0.75 to find n ≤ 24.33.

Front

What is the goal of the choir's fundraising problem?

Back

The goal is to raise at least $1,500 for travel costs.

Front

How do you find the average amount each choir member needs to raise?

Back

Set up the inequality 30x + 600 ≥ 1,500 and solve for x.

Front

What is the total cost of 2 pounds of grapes at $3.49 per pound?

Back

The total cost is 2 * 3.49 = $6.98.