Two Step Equations Word Problems

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 to solve the equation 3c + 5 = 23?

Back

Subtract 5 from both sides to get 3c = 18.

Front

What is the second step to solve the equation 3c = 18?

Back

Divide both sides by 3 to find c = 6.

Front

In the equation 11x + 6 = 39, what does 'x' represent?

Back

'x' represents the number of hours of the lesson.

Front

How do you write an equation for a word problem involving total cost?

Back

Identify the fixed costs and variable costs, then combine them into an equation.

Front

What does the term 'fixed cost' mean in a word problem?

Back

A fixed cost is a cost that does not change regardless of the number of items or hours.

Front

What does the term 'variable cost' mean in a word problem?

Back

A variable cost is a cost that changes based on the number of items or hours.

Front

If Scott charges $35 for each car and $7 per hour, how would you represent his total charge?

Back

The total charge can be represented by the equation 7x + 35, where x is the number of hours.

Front

What is the solution to the equation 7x + 35 = 63?

Back

The solution is x = 4.