Two-Step Equations 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. It typically involves isolating the variable on one side of the equation.

Front

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

Back

To isolate a variable in a two-step equation, you perform the inverse operations in the reverse order of how they are applied. First, eliminate any constant added or subtracted from the variable, then divide or multiply to solve for the variable.

Front

What does the variable 'x' represent in the context of word problems?

Back

In word problems, 'x' typically represents an unknown quantity that you are trying to find, such as the number of items, hours, or minutes.

Front

How can you translate a word problem into a mathematical equation?

Back

To translate a word problem into a mathematical equation, identify the key information, define the variable, and express the relationships using mathematical operations.

Front

What is the first step in solving the equation 0.50x + 20 = 35?

Back

The first step is to subtract 20 from both sides of the equation to isolate the term with the variable: 0.50x = 15.

Front

If a problem states 'two times a number plus five equals 15', how would you write this as an equation?

Back

You would write it as 2x + 5 = 15.

Front

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

Back

The constant term in a two-step equation represents a fixed value that is added to or subtracted from the variable. It affects the overall value of the equation.

Front

How do you check your solution after solving a two-step equation?

Back

To check your solution, substitute the value of the variable back into the original equation to see if both sides are equal.

Front

What is the equation for calculating total cost when there is a fixed fee and a variable cost?

Back

The equation is typically in the form: Total Cost = Fixed Fee + (Variable Cost per Unit * Number of Units).

Front

In the context of the carnival problem, what does the $20 represent?

Back

The $20 represents the fixed entry fee to the carnival.