Writing Two-Step Equations from 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 represent a rental fee plus an hourly charge in an equation?

Back

You can represent it as y = mx + b, where m is the hourly charge, x is the number of hours, and b is the rental fee.

Front

If a DVD costs $14 and CDs cost $12 each, how do you express the total cost in an equation?

Back

The total cost can be expressed as 12x + 14 = total amount available.

Front

What does the term 'per' indicate in a word problem?

Back

The term 'per' indicates multiplication, often used to express rates.

Front

How do you set up an equation for a gym membership fee plus monthly charges?

Back

You set it up as a fixed fee plus a variable fee multiplied by the number of months.

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 operation of the constant term.

Front

How do you solve for a variable in an equation like 50 + 20m = 290?

Back

Subtract 50 from both sides, then divide by 20 to find m.

Front

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

Back

It represents the total payment for x hours of service at $11 per hour plus a $6 tip.

Front

How do you determine the number of items you can buy with a budget?

Back

Set up an equation where the total cost equals the budget and solve for the number of items.

Front

What is the significance of the variable in an equation?

Back

The variable represents an unknown quantity that we are trying to solve for.