8th Gr Math Mixed Review ~ 1st Semester

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x). A positive slope indicates the line rises from left to right, while a negative slope indicates it falls.

Front

Back

Front

What does it mean to dilate a figure by a scale factor of 3?

Back

To dilate a figure by a scale factor of 3 means to enlarge the figure so that each point is moved away from the center of dilation (in this case, the origin) by a factor of 3. For example, the point A(3,3) becomes A'(9,9).

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio. For example, if Shawn earns $7.50 per hour, his earnings are proportional to the number of hours he works.

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, a video game rental fee of $15 plus $3 per day is non-proportional because the initial fee creates a fixed cost.

Front

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

Back

Front

What is the formula for the slope-intercept form of a line?

Back

Front

What is the difference between a proportional and a non-proportional graph?

Back

A proportional graph passes through the origin (0,0) and has a constant slope, while a non-proportional graph does not pass through the origin and has a variable slope.

Front

What is the scale factor in dilation?

Back

The scale factor in dilation is the ratio of the distance from the center of dilation to a point on the image compared to the distance from the center of dilation to the corresponding point on the original figure.

Front

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

Back

A relationship is proportional if the ratio of y to x is constant for all pairs of values in the table.