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. For example, in the equation 2x + 3 = 11, you would first subtract 3 and then divide by 2 to find x.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order. For example, in the equation 2x + 5 = 15, first subtract 5 from both sides, then divide by 2.

Front

What does it mean to solve a word problem involving two-step equations?

Back

Solving a word problem involves translating the words into a mathematical equation and then solving for the unknown variable.

Front

Translate this phrase into a two-step equation: 'Three times a number decreased by 4 equals 11.'

Back

3x - 4 = 11.

Front

What is the first step to solve the equation 3x - 4 = 11?

Back

Add 4 to both sides to get 3x = 15.

Front

If a printer prints 10 pages per minute and has printed a total of 115 pages, how do you set up the equation to find the time?

Back

Let t be the time in minutes. The equation is 10t + 35 = 115.

Front

What is the solution to the equation 10t + 35 = 115?

Back

t = 8 minutes.

Front

How do you write an equation for a total cost scenario?

Back

Identify the fixed cost and the variable cost, then combine them. For example, if the fixed cost is $6 and the variable cost is $11 per hour, the equation is 11x + 6 = total cost.

Front

What does the variable represent in the equation 11x + 6 = 39?

Back

The variable x represents the number of hours worked.

Front

How do you find the remaining amount after spending?

Back

Subtract the amount spent from the total amount. For example, if Jared made $60 and spent $39, the remaining amount is 60 - 39 = $21.