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 total cost in an equation?

Back

You can represent total cost by adding fixed costs to variable costs multiplied by the number of items.

Front

What does 'per' mean in a word problem?

Back

'Per' indicates multiplication, often used to express a rate or cost for each unit.

Front

Write an equation for: A carnival costs $20 to enter and $0.50 per ride, if total spending is $35.

Back

0.50x + 20 = 35

Front

Write an equation for: Scott charges $35 for each car plus $7 per hour, if Kylie's bill is $63.

Back

7x + 35 = 63

Front

What is the first step to solve a two-step equation?

Back

The first step is to isolate the term with the variable by performing the inverse operation.

Front

Write an equation for: Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50.

Back

y = 8.5x + 25.5

Front

Write an equation for: Jim paid a gym fee of $50 plus $20 per month, total $290.

Back

50 + 20m = 290

Front

What does 'each' signify in a mathematical context?

Back

'Each' signifies multiplication, indicating a cost or quantity for every single unit.

Front

What is the purpose of writing equations from word problems?

Back

The purpose is to translate real-world situations into mathematical expressions that can be solved.