Algebra 1 Final Review #1

Front

Evaluate the function: $$f(-3) = x^2 + 5$$

Back

14

Front

Solve the inequality: $$-3 + x \leq -11$$

Back

x \leq -8

Front

Solve for b: $$3(b - 4) = -3$$

Back

b = 3

Front

What is $$f(-4)$$ for the function $$f(x) = 2x + 3$$?

Back

-5

Front

If $$f(x) = 5 + 4(x - 4)^2$$, what is $$f(7)$$?

Back

41

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the quadratic formula?

Back

The quadratic formula is $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ for the equation $$ax^2 + bx + c = 0$$.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form $$f(x) = mx + b$$.

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 function?

Back

To find the x-intercept, set $$f(x) = 0$$ and solve for $$x$$.