Two-Step Equation 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. It typically involves addition or subtraction followed by multiplication or division.

Front

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

Back

To isolate a variable, perform the inverse operations in the reverse order: first, eliminate any constant added or subtracted from the variable, then divide or multiply to solve for the variable.

Front

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

Back

This equation represents a scenario where a coach charges $11 per hour for lessons and receives a $6 tip, with a total cost of $39.

Front

How do you write an equation for 'two times a number plus five equals 15'?

Back

The equation is 2x + 5 = 15.

Front

What is the first step to solve the equation 2x + 5 = 15?

Back

Subtract 5 from both sides to isolate the term with the variable: 2x = 10.

Front

What is the solution to the equation 2x + 5 = 15?

Back

The solution is x = 5.

Front

How do you represent the total cost of a gym membership with a one-time fee and a monthly fee?

Back

The equation is 50 + 20m = total cost, where 50 is the one-time fee and 20 is the monthly fee.

Front

What does the equation n + (n + 1) + (n + 2) = 48 represent?

Back

This equation represents the sum of three consecutive integers equaling 48.

Front

How do you find the first integer in the equation n + (n + 1) + (n + 2) = 48?

Back

First, simplify the equation to 3n + 3 = 48, then solve for n.

Front

What is the value of n in the equation 3n + 3 = 48?

Back

The value of n is 15.