Algebra 2/Trigonometry Unit 6: Rational Functions

Question 1

What is x2/(x+7) divided by (x2-7x+6)/(x2+6x-7)

Accepted Answer

x2/(x-6)

Question 2

Simplify this expression completely (x4-10x3+5x2)/(x2-25)

Accepted Answer

(x2[x-6])/(x+5)

Question 3

Find all values of x: (-4 - [9/x]) = -5x

Accepted Answer

(9/5) or -1

Question 4

Simplify into one fraction: (3x+5)/(x+8) + (x+7)/(x+2)

Accepted Answer

(4x2+26x+66)/[(x+8)(x+2)]

Question 5

If f(x)=8x+1, find f(-12)

Accepted Answer

-95

Question 6

What values of x would make (x2-20x+3)/(x2+10x-7) undefined

Accepted Answer

2, 5

Question 7

Simplify into one fraction: (x+2) - 2x/(x+6)

Accepted Answer

(x2+6x+12)/(x+6)

Question 8

Simplify this expression completely: (x2+16x+64)/(x2+x-56)

Accepted Answer

(x+8)/(x-7)

Question 9

Solve this equation: (x/[x-3] + 4) = (3/[x-3])

Accepted Answer

3

Question 10

Simplify this expression completely: (x2-9)/(x2+2x-15)

Accepted Answer

(x+3)/(x+5)

Question 11

Simplify this expression: ([5/x2]-[5/x]) / ([1/x2]-1)

Accepted Answer

5/(1+x)

Question 12

Find all values of x: (8/[x+1] + 3/[x2+x]) = 5x/(x+1)

Accepted Answer

-(3/5) or -1

Question 13

What is (9x3-45x2-126x)/(x2+7x+10) multiplied by (x2-25)/(x3-12x2+35x)

Accepted Answer

9

Question 14

What is (8x+72)/(x4+8x3) multiplied by (x2-64)/(x2+x-72)

Accepted Answer

8/x3

Question 15

If f(x)=(2x+1)/(x+5), then what does f(-3) equal?

Accepted Answer

-5/2

Question 16

What is (3x-4)/5x2 - (6x-9)/5x2 ?

Accepted Answer

(-3x+5)/5x2

Question 17

What is (x-[1/x])/(1+[1/x])

Accepted Answer

x-1

Question 18

Solve this equation: ([8/1] - [5x/{x+8}]) = (1/[x+8])?

Accepted Answer

-7/3

Question 19

Simplify into one fraction: 7/x + (3x+70/(x-8)

Accepted Answer

(3x2+14x-56)/[x(x-8)]

Question 20

What is 5x/6 + 4x/7

Accepted Answer

59x/42

Question 21

What is 2/7x - 1/6x

Accepted Answer

5/42x

Question 22

Simplify this expression: ([x/3]-[3/x]) / ([x/9]+[1/3])

Accepted Answer

(3x-9)/x

Question 23

Simplify this expression completely: (x3+8x2)/(x2+7x-8)

Accepted Answer

x2/(x-1)

Question 24

Find the values of x that would make (x3+6)/(x2+8x-20) undefined

Accepted Answer

-10, 2

Question 25

what values of x make (x+10)/(x2-25) undefined?

Accepted Answer

5, -5

Question 26

What is (8x-48)/x4+2x3) divided by (x2+x-42)/(x2-49)?

Accepted Answer

(8[x-7])/(x3[x+2])

Question 27

If f(x)=3x2-6, find f(4)

Accepted Answer

42

Question 28

If g(x)=5x3-15, find g(3)

Accepted Answer

120

Question 29

What values of x make f(x)=(4x-8)/(x2+x-6) undefined?

Accepted Answer

-3 and 2

Question 30

Simplify this expression: ([1/9]+[1/3x]) / ([3/x]-[x/3])

Accepted Answer

1/(9-3x)

Algebra 2/Trigonometry Unit 6: Rational Functions

Questions 30

Algebra 2/Trigonometry Unit 6: Rational Functions

Questions 30