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 12x + 14 = 50?

Back

Subtract 14 from both sides to begin isolating the variable.

Front

What is the solution to the equation 12x + 14 = 50?

Back

x = 3, after solving the equation.

Front

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

Back

It represents the total cost of lessons, where x is the number of hours.

Front

How do you check if your solution to a two-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 is the meaning of the term 'constant' in an equation?

Back

A constant is a fixed value that does not change, such as the number 6 in the equation 11x + 6 = 39.

Front

What is the equation for the total cost of carnival rides if it costs $20 to enter and $0.50 per ride?

Back

The equation is 0.50x + 20 = total cost.

Front

What does the equation 50 + 20m = 290 represent?

Back

It represents the total amount Jim paid for his gym membership, where m is the number of months.