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 write an equation for a real-world situation?

Back

Identify the fixed costs and variable costs, then express the total cost as an equation.

Front

In the equation 0.75m + 32 = 47, what does 'm' represent?

Back

'm' represents the number of minutes over the allowed limit.

Front

What does the term 'fixed cost' mean in a real-world scenario?

Back

A fixed cost is a cost that does not change regardless of the level of goods or services produced.

Front

What does the term 'variable cost' mean in a real-world scenario?

Back

A variable cost is a cost that varies with the level of output or usage.

Front

How do you isolate a variable in a two-step equation?

Back

Perform the inverse operations in reverse order to isolate the variable.

Front

What is the first step to solve the equation 50 + 20m = 290?

Back

Subtract 50 from both sides to begin isolating 'm'.

Front

What is the solution to the equation 0.50x + 20 = 35?

Back

x = 30, after isolating 'x'.

Front

What does the equation 7x + 35 = 63 represent?

Back

It represents the total cost of Kylie's car bill, where 'x' is the number of hours worked.

Front

How can you check if your solution to a two-step equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.