Review: Writing 2-Step Equations

Front

What is a 2-step equation?

Back

A 2-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a 2-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

What does the equation 11x + 6 = 39 represent?

Back

It represents a scenario where a coach charges $11 per hour and receives a $6 tip, totaling $39.

Front

How do you write an equation for a total cost scenario?

Back

Identify the fixed costs and variable costs, then combine them into an equation that equals the total amount spent.

Front

What is the first step to solve the equation 11x + 6 = 39?

Back

Subtract 6 from both sides to isolate the term with the variable.

Front

What does the equation 0.50x + 20 = 35 represent?

Back

It represents a scenario where the entrance fee is $20 and each ride ticket costs $0.50, totaling $35.

Front

How do you determine the number of tickets bought in the equation 0.50x + 20 = 35?

Back

First, subtract 20 from both sides, then divide by 0.50 to find x, the number of tickets.

Front

What does the equation 7x + 35 = 63 represent?

Back

It represents a scenario where a mechanic charges $35 for each car and $7 per hour, totaling $63.

Front

How do you solve the equation 7x + 35 = 63?

Back

Subtract 35 from both sides, then divide by 7 to find x, the number of hours worked.

Front

What does the equation 65 = 5x + 10 represent?

Back

It represents a scenario where the number of quarters is 10 more than 5 times the number of nickels.