5.6 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.

Front

How do you identify the variable in a word problem?

Back

To identify the variable, determine what quantity you need to find or what is changing in the problem.

Front

What is the first step in solving a two-step equation?

Back

The first step is to isolate the variable by performing the inverse operations.

Front

What does it mean to 'show your work' in math?

Back

'Show your work' means to write down each step taken to solve a problem, demonstrating your thought process.

Front

How can you check if your solution to an equation is correct?

Back

You can check your solution by substituting it back into the original equation to see if both sides are equal.

Front

What is the equation for sharing a total amount equally among friends?

Back

The equation is: total amount / number of friends = amount each friend gets.

Front

If each friend gave away 7 pieces of candy and ended up with 8, how can you express this situation as an equation?

Back

The equation is: c/4 - 7 = 8.

Front

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

Back

The equation is: 331 = 6x + 7, where x is the number of students per bus.

Front

How do you write an equation for a total cost that includes a fixed fee and a variable cost?

Back

The equation is: fixed fee + (variable cost per unit * number of units) = total cost.

Front

What is the equation for Jim's gym membership if he pays a fixed fee and a monthly fee?

Back

The equation is: 50 + 20m = 290, where m is the number of months.