Final Unit test ALG II

Vertical Asymptotes

2

y=2x/x-4

x=4

3

x  y

0 2

2 Error

4 0

6 0.5

x=2

4

Are these asymptotes related to the numerator or

denominator?

Denominator

5

y=x+9/x²-36

x=-6 or 6

10

 f(x)=6x-17/x²+7x-18

x=-9 or 2

Add & Subtract fractions

2

(1/2) + (5/2)

3

3

(3/8) + (1/4)

5/8

4

2/(x-4) + x/(x-4)

(x+2) / (x-4)

5

5/(3x) + (x+1)/x

3x+8

10

4/(x+3) + 7/(2x-1)

(15x+17) / (2x²+5x-3)

Multiplying Fractions

2

((16j-8)/(2j-1)) * 5

40

3

((2h+5)/(18h-6)) / ((2h+5)\h))

h/(18h-6)

4

((30j-18)/5j+4)) * ((5j+4)/5j-1))

6(5j-3)/(5j-1)

5

((4s³+5s²/s+2)) * ((s+2)/s²))

4s+5

10

((4h²+4h+1)/3h-1)) * (5h+2)

(20h³+28h²+13

h+2) / (3h-1)

Dividing Fractions

2

((3r+5/7) / (3r+5))

1/7

3

((5d-1)/d²) / (5d-1))

1/d²

4

((2y²z²)/(4yz)) / ((11y²z²/18y²))

9y/11z

5

((10hj/18h²) / 7h²)

(5j/63h³)

10

((j+5)/(32j³-16j²+2j)) / ((j+1)/(16j²-8j+1))

((j+5)/2j²+2j))  or 

((j+5)/(2j(j+1))

Random

2

Find the y-intercept:

y=x²+18x-23

-23

3

Solve 

3x³+2=83

x=3

4

If you have 4 apples and cut 2 in half, each half grows into a whole apple, then you give them away, how many do you have?

0

5

Simplify 

(x+5)(x²+5x+3)

x³+10x²+28x+15

10

Factor

(2x²+5x-12)

(2x-3)(x+4)