Final Exam Review #2

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In geometry, it is used to determine the proportional relationship between the dimensions of a drawing and the actual object.

Front

If a room's width is 1.25 inches and the scale factor is 10, what is the actual width?

Back

The actual width is 1.25 inches * 10 = 12.5 feet.

Front

What is the equation to find the total cost of an electrician's service if he charges $90 per hour and a $60 traveling fee?

Back

The equation is 90h + 60 = total cost.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

Back

The solution is x = -5.

Front

What does it mean to check your answer in an equation?

Back

Checking your answer means substituting the solution back into the original equation to verify that both sides are equal.

Front

If Joe earns $25 per yard mowed and has a one-time babysitting income of $100, how do you write an equation for his total earnings?

Back

The equation is 25y + 100 = total earnings.

Front

What is a direct relationship in mathematics?

Back

A direct relationship means that as one quantity increases, the other quantity also increases at a constant rate.

Front

If 15 miles is represented by 3 centimeters on a map, how do you find the equivalent centimeters for 135 miles?

Back

Set up a proportion: 15 miles/3 cm = 135 miles/x cm, then solve for x.

Front

What is the formula for converting a scaled distance to actual distance?

Back

The formula is: Actual Distance = Scaled Distance * (Actual Distance of Scale / Scaled Distance of Scale).