Writing Two-Step Equations from Word Problems

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you represent a total cost in a two-step equation?

Back

You can represent total cost as a sum of fixed fees and variable costs, e.g., Total Cost = Fixed Fee + (Variable Cost per Unit * Number of Units).

Front

What does 'decreased by' indicate in a word problem?

Back

'Decreased by' indicates subtraction in a mathematical expression.

Front

If a rental fee is $25.50 plus $8.50 per hour, how would you write this as an equation?

Back

y = 8.5x + 25.5, where y is the total cost and x is the number of hours.

Front

How do you solve for a variable in a two-step equation?

Back

To solve for a variable, isolate it by performing inverse operations in reverse order.

Front

What does the term 'difference' mean in mathematics?

Back

'Difference' refers to the result of subtracting one number from another.

Front

Write the equation for a printer that prints 10 pages per minute with 35 pages already printed, totaling 115 pages.

Back

10m + 35 = 115, where m is the number of minutes.

Front

How do you find the number of hours rented if the total cost is $33 with a $15 deposit and $2 per hour?

Back

33 = 2h + 15, where h is the number of hours.

Front

What is the first step in solving the equation 6x + 5 = 41?

Back

Subtract 5 from both sides to isolate the term with the variable.

Front

If Mr. Carrillo bought meals costing $6 each and sodas for $5, how do you express the total cost?

Back

Total Cost = 6x + 5, where x is the number of meals.