3b Review - Fredericks

Front

What is the formula for calculating the area of a rectangle?

Back

Area = Length × Width

Front

If a rectangle has a length of 10 feet and a width of 5 feet, what is its area?

Back

Area = 10 ft × 5 ft = 50 square feet

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of the y-value with respect to the x-value.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

How do you determine the y-intercept from the equation 2x + 3y = 6?

Back

Set x = 0: 3y = 6, so y = 2. The y-intercept is (0, 2).

Front

What is a blueprint in home decoration?

Back

A blueprint is a detailed architectural plan that shows the layout and dimensions of a space.

Front

If a home decorator uses a scale of 1 inch = 2 feet, how long is a 10-inch line on the blueprint in real life?

Back

10 inches × 2 feet/inch = 20 feet.

Front

What is the relationship between similar rectangles?

Back

Similar rectangles have the same shape but different sizes; their corresponding sides are proportional.

Front

If Rectangle ABCD has an area of 20 square feet and Rectangle WXYZ has an area of 180 square feet, what is the ratio of their areas?

Back

The ratio of their areas is 20:180 or 1:9.