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

What does the variable represent in a word problem?

Back

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

Front

How do you translate a word problem into an equation?

Back

Identify the key information and relationships in the problem, then express them using mathematical symbols.

Front

What is the first step in solving the equation 7x + 35 = 63?

Back

Subtract 35 from both sides to isolate the term with the variable.

Front

If Scott charges $35 for each car and $7 per hour, how would you express his total charge for x hours?

Back

The total charge can be expressed as 7x + 35.

Front

What equation represents how many hours Mary worked if she earned $112 at $14 per hour?

Back

The equation is 14h = 112.

Front

In the equation 11x + 6 = 39, what does x represent?

Back

x represents the number of hours Natalie worked.

Front

How do you solve the equation 2x + 1 = 15 for x?

Back

Subtract 1 from both sides to get 2x = 14, then divide by 2 to find x = 7.

Front

What is the total cost for Penelope if she buys x tickets at $0.50 each and pays $20 to enter?

Back

The total cost is represented by the equation 0.50x + 20.