Algebra II Review

Expressions

100

Evaluate:

x(z + 3) + 1 + 3 − y

;x = 6, y = −5, and z = 2

39

200

Simplify: −2(−6x − 9) − 4(x + 9)

8x-18

300

Simplify: (5 - 3i)(5 + 3i)

34

400

Simplify: i¹⁸

-1

500

Simplify: 4/2i

-2i

Linear Functions

100

f (x) = x² − 3x; Find f (−8)

88

200

What is slope of the line that passed through (5 , 0) and (5, 11)?

undefined

300

What is the slope of and y intercept of the line 

y= 3x +1/2 ?

Slope = 3

Y-Int= (0, 1/2)

400

What is the equation of the line that passes through these points (-3,-2) (1,-2)

y= -2

500

Solve the system of equations:

4x + 8y = 3

8x +16y = 6

infinite solutions

Quadratics

100

Identify the vertex and max/min value

f(x) = x² - 18x + 86

vertex:(9, 5) min value: 5

200

How was f(x)= (x + 2)^2 - 4 translated from the parent function

Moved 2 units left

moved 4 units down

300

write an equation for y=x² - 18x + 86, reflected over the x axis

y= -x² - 18x + 86

400

What is the domain and range of y= x² - 18x + 86

domain: {- inf, + inf}

range:{y > 5}

500

Find the discriminant of the quadratic equation then state the number of real or imaginary solutions.

9n² − 3n − 8 = −10

−63; two imaginary solutions

Completing the square and Quadratic Formula

100

Find the value of c that completes the square. x² + 6x + c

c=9

200

Find the value of c that completes the square x² + (7/13)x + c

49/676

300

Solve: x² − 12x + 11 = 0

x= 11

x= 1

400

Solve: x² + 14x − 15 = 0

x= 1

x= -15

500

Solve: 6x² − 48 = −12x

x= 2

x=−4

Factoring

100

Factor: x² − 7x − 18

(x − 9)(x + 2)

200

Factor: 3b³ - 5b² +2b

b(3b − 2)(b − 1)

300

Factor: 2x²+ 7x + 3

(2x + 1) (x + 3) 

400

Factor: x² + 4

(x - 2i)(x + 2i)

500

Factor: 9r² − 5r − 10

Not factorable