Writing Equations and Inequalities from Word Problems

Front

What is an inequality?

Back

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

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

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 solve the inequality 2p + 1 ≤ 10?

Back

Subtract 1 from both sides: 2p ≤ 9. Then divide by 2: p ≤ 4.5.

Front

What is the first step in writing an equation from a word problem?

Back

Identify the variables and what they represent in the context of the problem.

Front

In the equation y = 5x + 25, what does the 25 represent?

Back

The 25 represents the initial number of pages read before the daily reading started.

Front

How can you express the total weight Kathy can lift in an inequality?

Back

The total weight is represented by the inequality 2p + 1 ≤ 10, where p is the number of items.

Front

What is the relationship between the number of lessons Gabriel must attend and the hours he has practiced?

Back

The relationship is expressed by the inequality 2x + 6 ≥ 15, where x is the number of lessons.

Front

How do you find the maximum value of x in the inequality 4m + 8 < 30?

Back

Subtract 8 from both sides: 4m < 22. Then divide by 4: m < 5.5.