Translating Equation and Inequality 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, greater than or equal to, or less than or equal to the other.

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

What is the first step in solving an inequality?

Back

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

Front

What does '5x + 10 ≥ 100' represent in a word problem?

Back

It represents a situation where the total amount earned from babysitting (5 dollars per hour times hours worked plus 10 dollars) is at least 100 dollars.

Front

How do you solve the inequality '5x + 10 ≥ 100'?

Back

Subtract 10 from both sides to get '5x ≥ 90', then divide by 5 to find 'x ≥ 18'.

Front

What is the maximum number of batches of cookies Caleb can make if he has 10 cups of sugar and each batch uses 1.5 cups?

Back

The inequality is '1.5x ≤ 10', where x is the number of batches. Solving gives x ≤ 6.

Front

What does the solution 'a < 2' mean in the context of an inequality?

Back

It means that the value of 'a' must be less than 2.

Front

How do you write an equation for the number of pages printed by a printer?

Back

If the printer prints 10 pages per minute and starts with 35 pages, the equation is '10m + 35 = total pages printed'.

Front

What does the equation '45w + 123.95 = 753.95' represent?

Back

It represents the total cost of dance classes, where 'w' is the number of weeks enrolled, with a registration fee of 123.95 and a weekly fee of 45.