A little Algebra review

Front

What are the roots (x-intercepts) of the function f(x)= (x - 2)(x + 3)?

Back

x = 2 or x = -3

Tags

CCSS.HSF-IF.C.7C

Front

Write the equation for the graph shown: y = -2x + 9

Back

y = -2x + 9

Front

Write an equation in slope-intercept form with slope = -2/3 and y-intercept = (0, -9)

Back

y = -\frac{2}{3}x - 9

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the definition of a function?

Back

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

Tags

CCSS.8.F.A.1

Front

What is the vertex of the function f(x) = ax^2 + bx + c?

Back

The vertex is given by the formula \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Tags

CCSS.8.EE.B.5

Front

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

Back

Set x = 0 in the equation and solve for y.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.

Tags

CCSS.8.F.A.1

Front

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

Back

The slope m = \frac{y2 - y1}{x2 - x1}.

Tags

CCSS.8.EE.B.5