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 unknown variable.

Front

What does 'per' mean in a mathematical context?

Back

'Per' indicates a rate or ratio, often used to express cost or quantity per unit, such as dollars per hour.

Front

How do you represent a total cost that includes a fixed fee and a variable fee?

Back

You can represent it as: Total Cost = Fixed Fee + (Variable Rate × Number of Units).

Front

In the equation 60x + 50 = 210, what does 'x' represent?

Back

In this equation, 'x' represents the number of hours worked.

Front

What operation does 'combined' indicate in mathematics?

Back

'Combined' indicates addition.

Front

If an electrician charges $60 per hour and has a $50 fee, how would you write the total cost equation?

Back

Total Cost = 60x + 50, where x is the number of hours.

Front

What is the first step to solve the equation 60x + 50 = 210?

Back

The first step is to subtract 50 from both sides of the equation.

Front

What is the solution to the equation 60x + 50 = 210?

Back

x = 2.67 hours (approximately).

Front

What does the term 'increased by' mean in an equation?

Back

'Increased by' indicates addition, meaning you add a certain amount to a number.

Front

How do you find the unknown in a word problem involving total cost?

Back

Identify the fixed costs and variable costs, then set up an equation to solve for the unknown.