Algebra 2 Exam Review JR fall24

Front

Simplify the radical expression: \(\sqrt{x^3y^5z^2}\)

Back

\(xy^2z\sqrt{xy}\)

Front

Simplify: 3x⁻²

Back

\(\frac{3}{x^2}\)

Front

What is the formula for calculating future account balance with compound interest?

Back

\(A = P(1 + \frac{r}{n})^{nt}\) where A is the amount, P is the principal, r is the interest rate, n is the number of times interest is compounded per year, and t is the time in years.

Front

What is the equation for the axis of symmetry of a parabola given by \(y = ax^2 + bx + c\)?

Back

\(x = -\frac{b}{2a}\)

Front

Write the inequality in interval notation: x < -1 and x ≥ -4

Back

[-4, -1)

Front

What is the definition of a radical expression?

Back

An expression that includes a root, such as a square root or cube root.

Front

How do you simplify \(\sqrt{a^m}\)?

Back

\(\sqrt{a^m} = a^{m/2}\) if m is even.

Front

What is the formula for the area of a triangle?

Back

\(A = \frac{1}{2}bh\) where b is the base and h is the height.

Front

What is the quadratic formula?

Back

\(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\) for the equation \(ax^2 + bx + c = 0\).

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, for any two points x1 and x2 where x1 < x2, the function value at x1 is less than the function value at x2.