Chapter 1

Radicals

100

simplify

√ (625)

25

200

simplify

-√ (-125)

-5i√ 5

300

simplify

(-512)^1/3

-8

400

simplify

√ [(x+1)(x²-1)]

(x+1)√ (x-1)

500

simplify

√(5) / [√ u +√ 2]

[√ (5u)  - √ 10] / (u-2)

Scientific Notation

100

expand

6.2 x 10³

6200

200

expand

-9.5x10⁷

-95,000,000

300

write into scientific notation

0.00000103

1.03 x 10^-6

400

simplify keep in scientific notation

(3.5 x 10²)(1.6 x 10^-4)

5.6 x 10^-2

500

simplify keep in scientific notation

(8 x 10⁶) / (4 x 10^-4)

2 x 10⁸

Order of Operations

100

simplify

1+7²

50

200

simplify

4(4/2+4)

24

300

simplify

9-7-6/6

1

400

simplify

(4-1+8/8)x5

20

500

simplify

(28/4)²+3+(10-8)x5

62

Polynomials

100

expand

(x+9)²

x²+18x+81

200

expand

(y-8)(y+8)

y²-64

300

translate 

y plus nine is less than the product of two y and four y plus 3

y+9 < 2y(4y+3)

400

expand

(b+3)(2b²-5b+8)

2b³+b²-7b+24

500

Find the equation to the area of a triangle whose height is 7x and whose base is 3x²

A= 10.5x³

Random

100

simplify

z²-625

(z-25)(z+25)

200

simplify

(r-5)⁴/(r²-25)

(r-5)³/(r+5)

300

simplify

z(z²)⁵

z¹¹

400

simplify

(a-b)/(b-a)

1

500

Evaluate

(6x²)+(a²-81)

x=3 and a=4

-11