Algebra 3 Semester 1 Review

Front

If f(x) = -3x - 8, find f(-1).

Back

f(-1) = -5

Front

What is the solution of the system found from the graph?

Back

(1, -4)

Front

Find the slope of the line represented by the equation y = 2x + 3.

Back

The slope is 2.

Front

Find the area of a rectangle with length (3x - 1) and width (2x + 5).

Back

Area = 6x^2 + 13x - 5

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

Domain: All real numbers except x = 2.

Front

Define a linear function.

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line.

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 x-intercept of a linear equation?

Back

Set y = 0 and solve for x.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.