Problems Involving Two-Step Equation

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

What is the first step to solve the equation 6x + 5 = 27?

Back

Subtract 5 from both sides to isolate the term with the variable.

Front

If x = 4 in the equation 6x + 5 = 27, what is the left side of the equation?

Back

The left side is 6(4) + 5 = 24 + 5 = 29.

Front

What does it mean if a value does not satisfy an equation?

Back

It means that substituting the value into the equation does not make both sides equal.

Front

How do you solve the equation -5t + 9 = 24?

Back

First, subtract 9 from both sides to get -5t = 15, then divide by -5 to find t = -3.

Front

What is the equation that represents Emma's goals in relation to Nick's goals?

Back

The equation is 2x + 1 = 15, where x is the number of Nick's goals.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation until the variable is alone.

Front

What is the total cost equation for Kasey's lesson with Natalie?

Back

The equation is 11x + 6 = 39, where x is the number of hours.

Front

How do you represent a situation with a fixed fee and a variable cost?

Back

You add the fixed fee to the product of the variable cost per unit and the number of units.

Front

What is the equation for Jim's gym membership payments?

Back

The equation is 50 + 20m = 290, where m is the number of months.