Pre-Algebra Midterm Exam Review

Front

What is a scale in a map?

Back

A scale is a ratio that compares a distance on the map to the actual distance it represents in real life.

Front

If a map scale is 2 inches = 40 miles, how do you find the actual distance for 4.125 inches?

Back

Multiply 4.125 inches by the ratio of actual distance to map distance: (40 miles / 2 inches) * 4.125 inches = 82.5 miles.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.

Front

How do you determine if a table shows a proportional relationship?

Back

Check if the ratios of corresponding values in the table are equal.

Front

What is the formula for finding the area of a square?

Back

Area = side length × side length.

Front

If a swimming pool is represented as 26 cm in a scale drawing with a scale of 2 cm = 1 m, how wide is the actual pool?

Back

The actual width is 26 cm × (1 m / 2 cm) = 13 m.

Front

What is the area of a scale drawing of a square garden with a side length of 25 feet using a scale of 2 inches = 5 feet?

Back

First, convert the side length to inches: 25 feet = 10 inches. Then, Area = 10 in × 10 in = 100 in².

Front

What is the relationship between x and y if y = 3x?

Back

The relationship is proportional because y changes at a constant rate relative to x.

Front

How do you convert a scale drawing measurement to actual measurement?

Back

Multiply the measurement in the drawing by the scale factor.

Front

What is a proportional relationship in a graph?

Back

A proportional relationship in a graph is represented by a straight line that passes through the origin.