Algebra Unit 1 Review

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the relationship between pints and quarts?

Back

There are 2 pints in 1 quart.

Front

Find the explicit formula for the sequence: -3, -33, -63, -93, ...

Back

a_n = -3 - 30(n - 1)

Front

Write the recursive formula for the sequence: 6, 4, 2, 0, ...

Back

a_1 = 6, a_n = a_{n-1} - 2

Front

What is an absolute value function?

Back

An absolute value function is a function that outputs the distance of a number from zero on the number line, represented as f(x) = |x|.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you convert quarts to pints?

Back

To convert quarts to pints, multiply the number of quarts by 2.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What is a recursive formula?

Back

A recursive formula defines the terms of a sequence using previous terms, typically expressed as a_n = f(a_{n-1}, a_{n-2}, ...) with a base case.