2016 SOL 6.14 Solving Inequalities Word Problems

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not 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 number w is smaller than 5' as an inequality?

Back

w < 5

Front

If a taxi cab costs $1.75 and $0.75 for each additional mile, how would you express the total cost for m additional miles?

Back

Total cost = 1.75 + 0.75m

Front

If you have $20 to spend on a taxi ride, which inequality represents the maximum number of additional miles you can travel?

Back

0.75m + 1.75 ≤ 20

Front

What is the first step to solve the inequality 0.75m + 1.75 ≤ 20?

Back

Subtract 1.75 from both sides: 0.75m ≤ 18.25.

Front

How do you find the average amount each choir member needs to raise to meet a goal of $1,500 if they have already raised $600?

Back

Set up the inequality: 30x + 600 ≥ 1,500.

Front

What is the solution to the inequality 30x + 600 ≥ 1,500?

Back

x ≥ 30.

Front

If Sam makes $10.25 per hour and wants to buy a laptop for $550, how do you express the hours he needs to work as an inequality?

Back

10.25h ≥ 550.