Test One-Step & Two Step Equations

Front

What is a one-step equation?

Back

A one-step equation is an equation that can be solved in a single step, typically by performing the inverse operation to isolate the variable.

Front

What is a two-step equation?

Back

A two-step equation is an equation that requires two steps to solve, usually involving two different operations to isolate the variable.

Front

How do you solve the equation ⅔ x = -6?

Back

Multiply both sides by the reciprocal of ⅔, which is 3/2. Thus, x = -6 * (3/2) = -9.

Front

What is the formula to calculate the total cost of a service with a base fee and a variable fee per unit?

Back

Total Cost (c) = Base Fee + (Variable Fee per Unit * Number of Units).

Front

If a gym charges a membership fee plus a monthly fee, how can you express the total cost after m months?

Back

Total Cost = Membership Fee + (Monthly Fee * Number of Months).

Front

What does the variable 'm' represent in the equation c = 3.00 + 0.15m?

Back

In this equation, 'm' represents the number of minutes talked on the phone.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations on both sides of the equation until the variable is alone on one side.

Front

What is the first step to solve the equation t/3 + 5 = 7?

Back

Subtract 5 from both sides to isolate the term with the variable: t/3 = 2.

Front

What is the solution to the equation 50 + 20m = 290?

Back

Subtract 50 from both sides to get 20m = 240, then divide by 20 to find m = 12.

Front

What does it mean to have a variable in an equation?

Back

A variable represents an unknown value that can change or vary, and it is typically denoted by letters such as x, y, or m.