8th grade semester test review

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio. For example, if the cost of shirts increases consistently with the number of shirts ordered, it is proportional.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. For example, if there is a fixed shipping fee added to the cost of shirts, the total cost is non-proportional.

Front

If each shirt costs $10 plus $1.50 shipping per shirt, what is the total cost for x shirts?

Back

Total cost = 10x + 1.50x = 11.50x.

Front

How do you determine if a relationship is proportional using a table of values?

Back

A relationship is proportional if the ratio of the output to the input is constant for all pairs of values.

Front

What is the formula for the area of a square?

Back

Area = side length × side length.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

What does it mean for two quantities to be directly proportional?

Back

Two quantities are directly proportional if one quantity increases or decreases in direct relation to the other.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).