Equations and Inequalities Word Problems

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

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 equation?

Back

Identify the variables, constants, and relationships described in the problem, then translate them into a mathematical equation.

Front

What does the variable 'y' represent in the equation 25y + 100 = 3100?

Back

In this equation, 'y' represents the number of yards Joe needs to mow.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step to solve the equation 90h + 60 = 600?

Back

Subtract 60 from both sides to isolate the term with the variable: 90h = 540.

Front

What does the solution to an inequality represent?

Back

The solution to an inequality represents a range of values that satisfy the condition of the inequality.

Front

How can you check if a solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the maximum number of hours an electrician can work if the total bill is $600, given a $60 fee?

Back

The maximum number of hours is 6, calculated from the equation 90h + 60 = 600.

Front

How do you convert a word problem into an inequality?

Back

Identify the minimum or maximum conditions described in the problem and express them using inequality symbols.