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.

Front

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

Back

m = 8.

Front

What does the term 'constant' mean in an equation?

Back

A constant is a fixed value that does not change, such as the number 35 in the equation 10m + 35 = 115.

Front

What is the equation for a taxi fare that charges $3 plus $1.50 per mile?

Back

The equation is 1.5m + 3 = total fare.

Front

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

Back

Identify the variables, constants, and relationships described in the problem, then translate them into an equation.

Front

What is the total number of students if 331 students went on a field trip and 7 traveled in cars?

Back

The number of students on the buses is 331 - 7 = 324.

Front

How many students are in each bus if 6 buses are filled with 324 students?

Back

Each bus has 324 / 6 = 54 students.

Front

What is the equation to find how many months Jim has been a member of the gym if he paid $50 plus $20 per month?

Back

The equation is 50 + 20m = 290.