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Imaginary Numbers

100

i² = ?

-1

200

(12i - 7) + (20 - 10i) - (3i - 11) = ?

24 - 1i

300

sqrt(-81) = ?

9i

400

(4i + 10)(5i - 2) = ?

-40 + 42i 

500

Rationalize the denominator:

5/(2 - i)

(10 + 5i) / 5 

or

2 + i

Quadratics

100

The graph of a quadratic is called...

parabola

200

If the zeros of a graph happen at x = -1 and x = 7, what are the factors of the quadratic?

(x + 1)(x-7)

300

The parent function of a quadratic is...

x²

400

Find the discriminant. State the number and type of solutions. (All or nothing)

3x² + 7x - 11

181; 2 real solutions

500

Find the discriminant. State the number and type of solutions. (All or nothing)

31x² - 20x + 25

-2700; 2 complex solutions

Factoring

100

x² + 4x + 3

(x + 3)(x + 1)

200

2x² + 17x + 8

(2x + 1)(x + 8)

300

81x² - 64

(9x + 8)(9x - 8)

400

x³ + 8

(x + 2)(x² + 2x + 4)

500

Divide the following:

(x² - x - 56) / (x + 7)

x - 8

End Behavior and Parent Functions

100

Cubic Parent Function

x³

200

The absolute value parent function looks like this letter

V

300

The degree of the polynomial:

3x¹³ - 2x¹⁰ + x - 10

13

400

State the degree and describe the end behavior (same direction or opposite directions):

6x⁴ + 3x - 1

4; same direction

500

State the degree and describe the end behavior (same direction or opposite directions):

4x² - 11x⁵ + 5x - x³

5; opposite directions

Miscellaneous

100

Rewrite as a rational exponent:

The square root of x to the fifth.

x^5/2

200

The lowest point of a parabola is the vertex, also known as the ...

minimum

300

Write the equation of a parabola shifted 2 right and down 7.

(x - 2)² - 7

400

Find the inverse:

f(x) = 3x + 11

f^-1(x) = (x -11)/3

500

Use the compound interest formula:

Start with $14.21; collect interest semiannually; rate of 3.2%; for 8 years.

$18.32