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 it mean to translate a word problem into an equation?

Back

Translating a word problem into an equation involves converting the words into mathematical expressions and symbols.

Front

What is the first step in solving the equation 2x + 6 = -72?

Back

The first step is to subtract 6 from both sides of the equation.

Front

What is the solution to the equation 2x + 6 = -72?

Back

x = -39.

Front

How do you represent 'six times a number' mathematically?

Back

It is represented as 6x, where x is the number.

Front

What does 'four more than' indicate in an equation?

Back

It indicates addition; for example, 'four more than six times a number' is written as 6x + 4.

Front

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

Back

.50x + 20 = total cost.

Front

How do you set up an equation for a fixed cost plus a variable cost?

Back

The equation is in the form: fixed cost + (variable cost per item * number of items) = total cost.

Front

What is the equation to find how many books can be printed for $4,000 if the printer charges $800 plus $5 per book?

Back

800 + 5x = 4000.