Writing and Solving 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 is the first step in solving the equation 5x + 3 = 33?

Back

Subtract 3 from both sides of the equation.

Front

What is the solution to the equation 150 - 2w = 140?

Back

w = 5, meaning Tanner will meet his goal in 5 weeks.

Front

How do you write an equation for a real-world scenario?

Back

Identify the variables, constants, and relationships, then express them mathematically.

Front

What does the variable 'h' represent in the equation 33 = 2h + 15?

Back

The variable 'h' represents the number of hours the paddle boat was rented.

Front

What is the total cost equation for renting a paddle boat?

Back

The total cost equation is C = 2h + 15, where C is the total cost and h is the hours rented.

Front

How do you solve for x in the equation 54 = (7/5)x + 5?

Back

First, subtract 5 from both sides, then multiply by the reciprocal of (7/5) to isolate x.

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 $50 traveling fee in the electrician's cost equation.

Front

What is the equation for the total cost of an electrician's service?

Back

The equation is y = 90x + 50, where y is the total cost, x is the number of hours, and 90 is the hourly rate.