Big Ideas Algebra

Simplify.

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When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4

• 2

• 8

• 20

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

The discriminant is

• ax²  + bx  +  c

• b - 4ac

• b² - 4ac

• b² + 4ac

If the discriminant is positive, then the solution will be

• one real solution

• two real solutions

• no real solutions

• one imaginary solution

If the Discriminate is equal to 0, it has how many roots?

• 0

• 1

• 2

• 3

Which piecewise function corresponds to this graph? (Take your time)

• f(x) = { x  if x < 4; 

  { -x+1  if x ≥ 4

• f(x) = { x  if x ≤ 4; 

  {-x+1  if x > 4

• f(x) = {-x+1  if x < 4; 

  {x  if x ≥ 4

• f(x) = {-x+1  if x ≤ 4; 

  { x if x > 4

What is g(7) if:

• -17

• -13 

• 13       

• 17

Using the pictured graph, what is f(-3)?

• A

  -3

• B

  -1

• C

  1

• D

  3