ALGEBRA 2 PROBLEMS AND SOLUTIONS

Problem 1 :

If (x, y) is a solution to the system of equations above, what is a possible value of |y|?

Solution :

Problem 2 :

The difference between the roots of the equation x² – 7x – 9 = 0 is

A)  7

B)  9

C)  √85

D)  2√85

Solution :

Problem 3 :

Let the function f be defined by f(x) = √(50 - 2x²). What are all the values of x for which f(x) is a real number?

A)  x ≥ 5

B)  x ≤ 5

C)  -25 ≤ x ≤ 25

D)  -5 ≤ x ≤ 5

Solution :

Problem 4 :

If f(x – 3) = x² + x + 1, which of the following represents f(x)?

A)  f(x) = x² + x – 4

B)  f(x) = x² – 5x – 7

C)  f(x) = x² + 7x + 13

D)  f(x) = x² + 7x + 15

Solution :

Problem 5 :

|x - 5| ≤ ½

What is the least possible value of x that satisfies inequality above?

Solution :

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