Writing Two-Step Equations

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

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

Back

To isolate a variable, perform the inverse operations in the reverse order of how they are applied.

Front

What does the variable represent in an equation?

Back

The variable represents an unknown value that we are trying to solve for.

Front

What is the first step to solve the equation 0.50x + 20 = 35?

Back

Subtract 20 from both sides to isolate the term with the variable.

Front

What is the solution to the equation 0.50x + 20 = 35?

Back

x = 30.

Front

What does the equation y = 90x + 50 represent?

Back

It represents the total cost of a repair by an electrician after x hours, including a traveling fee.

Front

How do you set up an equation for a word problem?

Back

Identify the variables, constants, and relationships described in the problem, then translate them into an equation.

Front

What is the equation to find the average amount each choir member can raise if they need to raise $1500 and have already raised $600?

Back

30x + 600 = 1500.

Front

What does the term 'constant' mean in an equation?

Back

A constant is a fixed value that does not change, such as numbers in an equation.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.