Algebra II Spring Semester Exam Review

Quadratics

100

The vertex of the graph of g(x) = (x+5)²-10 is located at this point.

What is (-5, -10)?

200

For a certain company, the daily cost to produce x number of products is given by C(x) = 0.04x² - 8.504x + 25302. Find the number of units to produce daily in order to minimize costs. Round to the nearest whole number.

What is 106?

300

For a standard form quadratic function f(x) = ax²+bx+c, this point is the y-intercept.

What is (0, c)?

400

This is the factored form of the quadratic f(x) = 2x² -10x+12.

What is (2x-4)(x-3)?

500

Find a quadratic in standard form with a = 1 and vertex at (-3, 4).

What is x²+6x+13?

Other Polynomials

100

Give an example of a cubic binomial with positive left end behavior.

What is [insert any cubic binomial with negative leading coefficient]?

200

Divide 3x⁴ - 2x² + x - 10 by x + 6. Give the quotient and the remainder.

What is 3x³ - 18x² + 106x - 635 remainder 3800?

300

Find all of the zeros of x³ - 5x² - 9x + 45 without using a graphing calculator.

What are -3, 3, 5?

400

Find a polynomial function in expanded form with a zero of x=1 with multiplicity 2, a zero of x=0 with multiplicity 1, and a zero of x = -3 with multiplicity 1.

What is g(x) = x⁴ + x³ - 5x² + 3x?

500

This is where I find the zeros of a function on a graph of that function.

What is where the function hits the x-axis?

Statistics/Probability

100

Give the mean, median, and mode of the data set {1, 1, 5, 11, 17, 28, 51}.

What is...

mean is 16.286

median is 11

mode is 1?

200

This is the definition of mutually exclusive events.

What are events that cannot happen simultaneously?

300

This is an equation I can find to describe a linear relationship between two variables and use to make predictions about them.

What is a linear regression equation?

400

This percentage of the data points lie between the median and Q3 for a boxplot.

What is 25%?

500

This is the definition of independent events.

What is two events such that one occurring does not affect the probability of the other?

Rational/Radical

100

This the simplified form of the rational expression (x² - 36)/(x² - 4x - 12).

What is (x + 6)/(x + 2)?

200

This is the simplified form of the rational expression x/(x+1) - 1/(x² + x).

What is (x - 1)/x?

300

This is the simplified form of the radical expression (27x³y⁴)^1/2.

What is 3xy²(3x)^1/2?

400

These is the real solution of the radical equation (3x + 1)^1/2 + 7 = x + 6.

What is x = 5?

500

This is how you correctly spell the term for fake solutions for rational and radical equations.

What is E-X-T-R-A-N-E-O-U-S?

Misc.

100

This is the factoring rule I should use to factor x³ - 1.

What is the difference of cubes?

200

What are Mr. Lester's cats names?

Who are Kenai and Luna?

300

This is what I should always check for first when factoring any expression.

What is a greatest common factor?

400

This is the formula for IQR.

What is Q3 - Q1? Also, the length of a box on a boxplot gives IQR.

500

This is what I have to make sure of first any time I am trying to solve a quadratic equation.

What is I need to get 0 on one side of the equation?