Fractions & Surds & Indices, Oh MY

Surds

100

Root(63)

3 root(7)

200

root(25/36)

5/6

300

root(63) - root(4)

5

400

root(45) + root(20)

5 root(5)

500

root(27x²) + root(75x²)

8x root(3)

Indices

100

6³x6⁷

6¹⁰

200

(2b)³

8b³

300

2(2x²y²)³

16x⁶y⁶

400

(f⁴xf³)/f²

f⁵

500

(4r²t⁴)³/t¹²

64r⁶

Fractions

100

Write 3/4 + 2/3 as an improper fraction.

17/12

200

 4/y x 3y²/2

2y/3

300

h²/t x 1/h

h/t

400

(x-3)/(x²-9)

1/(x+3)

500

(x²+x+2)/(x²-1)

(x+2)/(x-1)

Changing the Subject

100

x - 4 = 7

x = 11

200

Solve for x:
2xy = 4

x = 2/y

300

x² - 5y² = 4y²

x = 3y

400

Solve for x:

2/x + 5 = 3y

x = 2/(3y-5)

500

4y/x² = 1/y

x = 2y

Evaluating

100

16(x-12x)⁰

16

200

root(25/49)

5/7

300

If x = 5, what is y? 

x² - x + 4 = 2y

y = 12

400

(16)^3/4

8

500

Let x = 2. What does this give for the expression 

x³ - 3x² + 2x -1 ?

-1