2-Step Equations Word Problems

Front

What is a 2-step equation?

Back

A 2-step equation is an algebraic equation that requires two operations to solve for the variable. It typically involves addition or subtraction followed by multiplication or division.

Front

How do you set up a 2-step equation from a word problem?

Back

Identify the total amount, the cost of each item, and the number of items. Use variables to represent unknowns and create an equation based on the relationships described.

Front

What does the variable represent in a 2-step equation?

Back

The variable represents the unknown quantity that you are trying to find, such as the number of items purchased or the cost of each item.

Front

In the equation 10.95x + 12.57 = 89.22, what does 'x' represent?

Back

'x' represents the number of pizzas Mallory bought.

Front

How do you isolate the variable in a 2-step equation?

Back

First, eliminate the constant term by performing the opposite operation, then divide or multiply to solve for the variable.

Front

What is the first step to solve the equation 12x + 14 = 50?

Back

Subtract 14 from both sides to isolate the term with the variable: 12x = 36.

Front

What is the total cost in the equation 50 + 20m = 290?

Back

The total cost is $290, which includes a fixed fee of $50 and a monthly fee of $20 multiplied by the number of months 'm'.

Front

How do you check if your solution to a 2-step equation is correct?

Back

Substitute the value of the variable back into the original equation to see if both sides are equal.

Front

What does the equation 7x + 4 = 18 represent?

Back

It represents the total cost of 7 candy bars (x) plus a soft drink that costs $4, equaling a total of $18.

Front

What is the significance of the constant term in a 2-step equation?

Back

The constant term represents fixed costs or amounts that do not change with the variable.