Algebra 2 Exam Review

Front

What is completing the square in algebra?

Back

Completing the square is a method used to convert a quadratic equation into a perfect square trinomial, making it easier to solve or analyze.

Front

What value do you add to x² - 10x to complete the square?

Back

25

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, making it easier to work with.

Front

Simplify the expression (-x⁻³y⁵ / 2xy⁻²)⁴.

Back

y²⁸ / 16x¹⁶

Front

What is an inverse function?

Back

An inverse function reverses the operation of the original function, meaning if f(x) = y, then f⁻¹(y) = x.

Front

Is the inverse of {(0,1),(2,-1),(3,2),(4,-1)} a function?

Back

No, the inverse is {(1,0),(-1,2),(2,3),(-1,4)} which is not a function because it has repeated x-values.

Front

What are function compositions?

Back

Function compositions involve combining two functions, where the output of one function becomes the input of another.

Front

If f(x) = 2x - 6 and g(x) = 12 - 6x, what is fₒg?

Back

fₒg is the composition of f and g, which is not equal to gₒf.

Front

What is a transformation in algebra?

Back

A transformation is a change made to a function's graph, such as shifting, stretching, or reflecting.

Front

What does a horizontal translation of a function mean?

Back

A horizontal translation shifts the graph of a function left or right along the x-axis.