Operations with real numbers
Exponents
Roots and Real numbers
Order of Operations
Simplifying Expressions
100

-4 + (-9)

-13

100

Simplify:

(-6)3

-216

100

square root of -25

-5

100

15 - 2 x 3 + 1

10

100

Simplify: 

24a +b2 + 3a + 2b2

27a + 3b2

200

-8-(-3) =

-5

200

(2/9)2

4/81

200

cube root of -216

-6

200

12- 32 + 10 / 2

8

200

Simplify: 

-12d+3+14d+18

2d+21

300

2/3 - 4/9

2/9

300

(-4/9)2

16/81

300

square root of 49/9

7/3

300

2.4 + 4 [32 - 2(3 -1.5)]

26.4

300

Simplify: 4(x +9) + 5x

9x +36

400

5/6 divided by (-4/3)

-5/8

400

The population of a certain bacteria doubles in size every three hours. If a population begins with 1 bacterium, how many will there be after one day? 

28 = 256

400

Classify the number: 

negative square root of 14

irrational

400

72 +42 x 3

97

400

A rectangular desktop has a length of 3(x+2) units and a width of x-7 units. Write an expression, in simplified form, for the perimeter of the desktop. 

8x-2

500

8/9 divided by (-2 2/3)

-1/3

500

(-10)4

10000

500
classify the real number: 8/9

rational, repeating decimal

500

[(-6 x 4) / (-6) x 4]2

256

500

Lucy is k years old. She has a sister who is three years younger than she is and another sister who is five years less than twice Lucy's age. Write an expression, in simplified form, for the sum of the three girls' ages. 

4k-8