Word Problems 10/26

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

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 in an inequality?

Back

It means 'less than or equal to', indicating that the value on the left can be less than or equal to the value on the right.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often represented by letters like x or y, that stands for an unknown value.

Front

How do you solve the inequality 3x + 20 ≤ 120?

Back

Subtract 20 from both sides to get 3x ≤ 100, then divide by 3 to find x ≤ 33.33.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

How do you write an equation from a word problem?

Back

Identify the quantities, assign variables, and translate the relationships and conditions into an equation.

Front

What does the equation 12x + 14y = 708 represent?

Back

It represents the total revenue from selling small (x) and large (y) t-shirts, where small t-shirts cost $12 and large t-shirts cost $14.

Front

What is the solution to the equation 2n = 24?

Back

Divide both sides by 2 to find n = 12.

Front

How do you interpret the inequality 125x + 55 < 600?

Back

It indicates that the total cost of hiring a DJ for x hours plus the assistant's fee must be less than $600.