Semester Test

Front

What is the measure of angle b if it is given that angle b is complementary to angle a which measures 54°?

Back

Angle b = 36° (since complementary angles sum to 90°).

Front

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

Back

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

Front

Find the slope of the line passing through the points (1,2) and (3,4).

Back

Slope = 1.

Front

Find the slope of the line passing through the points (0,5) and (6,2).

Back

Slope = -1/2.

Front

What is the solution for x and y in the system of equations: y = 2/3x - 2 and y = -x + 3?

Back

(3,0).

Front

Evaluate (20ab) ÷ (a-b)² if a = 4 and b = -2.

Back

-40/9.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no variables raised to a power greater than one.

Front

What does it mean for two angles to be complementary?

Back

Two angles are complementary if the sum of their measures is 90°.

Front

What is the formula for the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness of a line, calculated as the rise over run.