Two-Step Equation 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 the reverse order of how they are applied.

Front

What does it mean to 'solve' an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 2x + 5 = 15?

Back

The first step is to subtract 5 from both sides of the equation.

Front

What is the solution to the equation 2x + 5 = 15?

Back

The solution is x = 5.

Front

What does the term 'word problem' refer to in mathematics?

Back

A word problem is a mathematical problem expressed in words rather than numbers or symbols.

Front

How can you translate the phrase 'two times a number' into an algebraic expression?

Back

It can be translated as 2x, where x represents the unknown number.

Front

What equation represents the situation: 'Jim paid a gym membership fee of $50, plus $20 per month, totaling $290'?

Back

The equation is 50 + 20m = 290.

Front

If Penelope spends $35 at the carnival, what equation represents her spending?

Back

The equation is 0.50x + 20 = 35, where x is the number of ride tickets.

Front

What is the equation for Scott's car bill if he charges $35 for each car plus $7 per hour?

Back

The equation is 7x + 35 = 63, where x is the number of hours worked.