Two-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. 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 reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

What is the first step to solve the equation 90h + 60 = 600?

Back

Subtract 60 from both sides to isolate the term with the variable: 90h = 540.

Front

What is the solution to the equation 90h + 60 = 600?

Back

h = 6, after dividing both sides by 90.

Front

How do you write an equation for a word problem involving total cost?

Back

Identify the fixed costs and variable costs, then express the total cost as the sum of these costs, often in the form of an equation.

Front

In the problem about Mike's dinner, how do you express the cost of one meal?

Back

Let m be the cost of one meal. The equation is 3m + 8.50 = 53.50.

Front

What does the variable represent in the equation 3m + 8.50 = 53.50?

Back

The variable m represents the cost of one person's meal.

Front

How do you solve the equation 3m + 8.50 = 53.50?

Back

Subtract 8.50 from both sides to get 3m = 45, then divide by 3 to find m = 15.

Front

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

Back

331 students went on the field trip.

Front

How do you set up an equation for the number of students per bus if 6 buses are used?

Back

Let x be the number of students in each bus. The equation is 6x + 7 = 331.