Semester 1 Review

Front

Factor and Solve: 6x² + 17x + 12 = 0

Back

x = -4/3, x = -3/2

Front

Solve: m² - 10m = 0

Back

m = 0 and m = 10

Front

Solve using the Zero-Product Property: (x + 4)(x − 3) = 0

Back

x = -4 and x = 3

Front

Identify the inequality graphed: y ≥ -x + 1

Back

This represents a line with a slope of -1 and a y-intercept of 1, including the line itself.

Front

Find the slope of the line that passes through (10, 1) and (5, 2)

Back

Slope = (y2 - y1) / (x2 - x1) = (2 - 1) / (5 - 10) = -1/5

Front

Definition: Quadratic Equation

Back

An equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

Definition: Zero-Product Property

Back

If ab = 0, then a = 0 or b = 0.

Front

Definition: Slope of a Line

Back

The ratio of the vertical change to the horizontal change between two points on a line.

Front

Definition: Y-Intercept

Back

The point where a line crosses the y-axis (x=0).

Front

Example: Solve for x in 2x + 3 = 7

Back

x = 2.