2-Step Equations Word Problems

Front

What is a 2-step equation?

Back

A 2-step equation is an algebraic equation that requires two operations to solve for the variable. It typically involves addition or subtraction followed by multiplication or division.

Front

How do you isolate a variable in a 2-step equation?

Back

To isolate a variable, perform the inverse operations in the reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

What is the first step to solve the equation 7x + 14 = 70?

Back

Subtract 14 from both sides to isolate the term with the variable: 7x = 70 - 14.

Front

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

Back

A fixed fee is a set amount charged that does not change regardless of the quantity or duration of service.

Front

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

Back

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

Front

How do you check if your solution to a 2-step equation is correct?

Back

Substitute the value of the variable back into the original equation to see if both sides are equal.

Front

What is the total cost if the fixed fee is $50 and the variable cost is $20 per month for 5 months?

Back

Total cost = 50 + 20(5) = 50 + 100 = $150.

Front

What is the equation for a scenario where a service costs $35 per item plus a $7 fee, and the total bill is $63?

Back

The equation is 7 + 35x = 63.

Front

What does it mean to 'solve for x' in an equation?

Back

To 'solve for x' means to find the value of the variable 'x' that makes the equation true.

Front

If a total bill is $375 and includes a $150 charge for parts, how do you express the labor cost in an equation?

Back

You can express it as 375 = 50x + 150, where x is the number of hours of labor.