One & Two Step Equation Word Problems

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step, typically by performing the inverse operation to isolate the variable.

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to isolate the variable, usually involving addition or subtraction followed by multiplication or division.

Front

How do you solve the equation 3c + 5 = 23?

Back

To solve for c, subtract 5 from both sides to get 3c = 18, then divide both sides by 3 to find c = 6.

Front

What is the first step in solving a word problem involving a cell phone bill?

Back

Identify the fixed cost and the variable cost, then set up an equation based on the total cost.

Front

How do you determine the number of minutes Tara talked on the phone if her bill was $75?

Back

Set up the equation: 15 + 0.20m = 75, where m is the number of minutes. Solve for m to find m = 300.

Front

What does the equation 2/5x = 16 represent in the context of the circus problem?

Back

It represents the relationship between the number of elephants (2/5 of the total number of horses) and the actual number of elephants, which is 16.

Front

How do you solve the equation 4x + 7 = 23?

Back

Subtract 7 from both sides to get 4x = 16, then divide both sides by 4 to find x = 4.

Front

What is the total amount Jared had after buying mower blades?

Back

Jared made $60 and spent $39, so he had $60 - $39 = $21 left.

Front

How do you calculate how many games Jared can buy with his remaining money?

Back

Divide the remaining amount by the cost of each game: $21 / $7 = 3 games.

Front

What is the importance of identifying keywords in word problems?

Back

Keywords help to determine the operations needed to set up the equations, such as 'total', 'more than', 'less than', etc.