8th Grade Math Semester 1 Final Exam PRACTICE

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) over the change in x (run).

Front

Find the slope of the line given two points (2, 3) and (5, 0).

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1) = (0 - 3) / (5 - 2) = -3/3 = -1.

Front

What is prime factorization?

Back

Prime factorization is the process of expressing a number as the product of its prime factors.

Front

Use a number tree to find the prime factorization of 32.

Back

The prime factorization of 32 is 2 x 2 x 2 x 2 x 2 or 2^5.

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

Convert the equation x = 4 to Slope-Intercept Form.

Back

The equation x = 4 is a vertical line and cannot be expressed in Slope-Intercept Form.

Front

Back

Front

What does 'y-intercept' mean?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

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

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the difference between positive and negative slope?

Back

A positive slope indicates that the line rises from left to right, while a negative slope indicates that the line falls from left to right.