Review of Algebra II

The reduced row echelon form of

Which of the following is the multiplicative inverse of

Which of the following is a solution to

Which of the following is equal to x , if

How many different values of (x, y, z) satisfy the following system of equations?

Which of the following is a graph of 3x - y≥3 ?

Which of the following graphs represents the solution to the system of inequalities

Factor 15x ² - x - 6 .

Factor 8x ³ - y ³ .

Factor 2x ³ +5x ² - 18x - 45 .

How many real roots does f (x) = 4x ² - 8x - 16 have?

+ - = ?

× = ?

÷ = ?

What is the solution set of + = ?

y is a function of x in all the following relations EXCEPT:

What is the domain of f (x) = ?

What is the range of f (x) = x ² - 4 ?

If f (x) = 2x + 1 and g(x) = x ² - 6x , what is 3f (x) + 2g(x) ?

If f (x) = 2x - 4 and g(x) = 5x + 3 , what is fg(x) ?

If f (x) = 3x - 7 and g(x) = x ² - 1 , what is g o f (x) ?

What is the inverse of f (x) = + 5 ?

If g(x) is shifted up 3 units and right 4 units from f (x) , what is g(x) ?

If g(x) is stretched horizontally by a factor of 2 and shifted down 3 units from f (x) , what is g(x) ?

If g(x) is a reflection of f (x) = x ³ + x ² - 4 over the y -axis, what is g(x) ?

Which of the following graph is symmetric with respect to the origin?

Name all the vertical asymptotes and holes in the graph of f (x) = ?

Which equation could describe the following graph?

If 7 athletes are running a race, in how many different ways can they finish in first place, second place, and third place?

Which of the following is equivalent to C(15, 10) ?

A function is defined recursively by

What is f (4) ?

What are the next two number in the sequence 1, 1, 2, 3, 5, 8, 13, __, __ ?

What is ()^- ?

If = 1 - 2x , what are all the possible values of x ?

Which equation could describe the following graph?

log₃ = ?

Simplify 3 log₂ x + 2 log₂(x - 2) - log₂(x - 3) .

Solve for x : log₂(x ² -1) - log₂(x + 1) = 3 .

Solve for x : 6^x36^x-1 = 216 .

If $700 is put into a bank account with an interest rate of 5%, compounded yearly, how much money is in the account after 6 years?

Simplify .

(2 - 3i)(5 + 7i) = ?

(4 + 3i)÷(5 + 3i) = ?

Which of the following is a factor of x ⁴ -22x ² + 31x - 28 ?

What is the remainder when P(x) = 2x ⁵ -2x ⁴ -6x ³ +12x ² + 4x + 16 is divided by x + 2 ?

Factor completely: 2x ⁴ +11x ³ +10x ² - 11x - 12 .

If 2 - i is a zero of P(x) = x ³ -3x ² + x + 5 , factor P(x) completely.

(x - 5y)⁴ = ?