Solving 2 Step Equations (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 isolate a variable in a two-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 is the first step to solve the equation 10m + 35 = 115?

Back

Subtract 35 from both sides to isolate the term with the variable: 10m = 115 - 35.

Front

What is the solution to the equation 10m + 35 = 115?

Back

m = 8, after solving 10m = 80.

Front

What does the variable 'm' represent in the context of the printer problem?

Back

The variable 'm' represents the number of minutes the printer has been printing.

Front

In the gym membership problem, what does the $50 represent?

Back

The $50 represents the initial membership fee Jim paid to join the gym.

Front

How do you set up an equation for total costs in a word problem?

Back

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

Front

What is the equation to find how many months Jim has been a member of the gym?

Back

50 + 20m = 290.

Front

How do you find the number of students per bus in the field trip problem?

Back

Subtract the number of students traveling in cars from the total, then divide by the number of buses.

Front

What is the total number of students traveling in cars in the field trip problem?

Back

7 students.