3b Review - Smith

Front

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

Back

Area = Length × Width

Front

What is the definition of a slope in a linear equation?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What is the equation of a line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

If a rectangle has a width of 4 feet and a length of 5 feet, what is its area?

Back

Area = 4 ft × 5 ft = 20 square feet.

Front

What is the relationship between the areas of similar rectangles?

Back

The ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

How do you convert the equation 3x - 3y = 21 to slope-intercept form?

Back

Rearranging gives y = x - 7.