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.

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

Solve for x: x/4 - 3 = 9

Back

x = 48

Front

What is the first step to solve the equation 5x - 7 = 18?

Back

Add 7 to both sides of the equation.

Front

Solve for x: 5x - 7 = 18

Back

x = 5

Front

If Lisa bought 4 apples at $2 each and spent $14, how much does each banana cost if she bought 3 bananas?

Back

Each banana costs $2.

Front

What is the equation to represent the total cost of apples and bananas?

Back

Total cost = (Cost of apples) + (Cost of bananas) = 2(4) + 3b.

Front

Solve for c: 3c + 5 = 23

Back

c = 6

Front

What is the first step to solve the equation 3c + 5 = 23?

Back

Subtract 5 from both sides of the equation.

Front

If Emily bought 3 notebooks at $4 each and spent $14, how much does each pen cost if she bought 2 pens?

Back

Each pen costs $2.