Equations and Word Problems

Front

What is the process to isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations on both sides of the equation to get the variable by itself.

Front

How do you set up an equation from a word problem?

Back

Identify the unknown variable, translate the words into mathematical expressions, and set up an equation that represents the situation.

Front

What does it mean to solve for a variable?

Back

Solving for a variable means finding the value of that variable that makes the equation true.

Front

What is a linear equation?

Back

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

Front

How do you check if your 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 formula for calculating total cost when given a rate and time?

Back

Total Cost = Rate × Time.

Front

How do you represent a situation where a total amount is reduced by a certain expense?

Back

Use the equation: Total Amount - Expense = Remaining Amount.

Front

What is the significance of coefficients in an equation?

Back

Coefficients represent the multiplicative factor of a variable in an equation.

Front

How do you convert a word problem into a mathematical equation?

Back

Identify keywords that indicate operations (like 'total', 'difference', 'product'), assign variables, and write the equation based on the relationships described.

Front

What is the relationship between hourly wage and total earnings?

Back

Total Earnings = Hourly Wage × Hours Worked.