Algebra IA Review

Front

What is the vertical line test?

Back

A test to determine if a graph is a function.

Front

Write the equation in point-slope form of the line that passes through the point (4, -7) with slope m = -1/4.

Back

y + 7 = -1/4(x - 4)

Front

Simplify: (2w² – 4w – 8) – (5w² + 3w – 2)

Back

–3w² – 7w – 6

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean for a graph to be a function?

Back

Each input (x-value) has exactly one output (y-value).

Front

Solve for x: 12x - 15 = 3(2x + 3)

Back

x = 4

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.

Front

What is the definition of a polynomial?

Back

An expression consisting of variables and coefficients, using only addition, subtraction, multiplication, and non-negative integer exponents.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a degree of 1 (y = mx + b), while a quadratic function has a degree of 2 (y = ax² + bx + c).