Algebra II Review

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100

x(z + 3) + 1 + 3 − y; use x = 6, y = −5, and z = 2

39

200

−2(−6x − 9) − 4(x + 9)

8x-18

300

Simplify. Write your answer in a+bi form: (2i+3)²

5+12i

400

Is the following even, odd, or neither:

5x²-2x+3

Neither!

500

rewrite in log form: 

(250)5^x=1000

log₅4=x

General Functions

100

f (x) = x² − 3x; Find f (−8)

88

200

h(x) = 3x + 3 g(x) = −4x + 1 Find h(10) - g(10)

72

300

f (n) = 2n g(n) = −n − 4 Find f(6)+(g(1))²

37

400

g(a) = 2a + 2,  h(a) = −2a − 6,  Find the solution when g(a)=h(a)

a=-2

500

Find the inverse g(x) = (1/x) -2

h(x)= (1/(x+2))

Quadratics

100

Identify the vertex and max/min value f (x) = x² -18x+86

vertex:(9, 5) min value: 5

200

Factor: x² − 7x − 18

(x − 9)(x + 2)

300

Factor: 3b³ -5b² +2b

b(3b − 2)(b − 1)

400

Factor: 9r² − 5r − 10

Not factorable

500

Find the solutions using the quadratic formula:

f(x)=3x²+5x-7

(-5+sqrt(109))/6 and (-5-sqrt(109))/6

Completing the square

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 the function by completing the square x² − 12x + 11 = 0

{11,1}

400

Solve the equation by completing the square x² + 14x − 15 = 0

{1,-15}

500

Solve by completing the square 6x² − 48 = −12x

{2, −4}

Rationals

100

Solve the equation. 27 = x^3/2

9

200

Solve: 26 = −1 + (x)^-3

1/3

300

simplify (p + 4)/(p² +6p +8)

1/(p+2)

400

(n+3)/(n+2) ÷ ((n-1)(n+3))/((n-1)²)

(n-1)/(n+2)

500

solve: (a − 2)/(a + 3) -1= 3/(a+2)

-19/8