The Real Numbers Quiz Review- Farley

Order of Operations

100

48 ÷ (2⁵ - 29) +6²

48 ÷ (32-29) + 6²

48 ÷ 3 + 6²

48 ÷ 3 + 36

16 + 36

52

200

√(29 - 2² ) x (11-8)²  - 26

√(29-4) x 3² -26

√25 x 9 - 26

5 x 9 -26

45 - 26

19

300

18 - 4³ + 25

28 - 5²​​​​

18 - 64 + 25 

28-25

-46 + 25  =   -21   = -7

      3              3

400

7 + (53 - 3⁴) ÷ √16

7 + (53 - 81) ÷  √16 

7 + (-28) ÷ 4 

7 + -7

0

500

7² - l 6 - 2(7) l x 3²

7² - l 6-14 l x 3²

7² - l -8 l x 3²

7² - 8 x 9

49 - 8 x 9

49 - 72 = -23

Properties

100

Name that property.

7 x 1/7 = 1

Inverse Property of Multiplication

200

2x + 5 = 5 + 2x

Cummutative Property of Addition

300

Name that property.

-8d + 0 = -8d

Identity Property of Addition

400

Name that property.

-2 (8 + c) = -16 + -2c

Distributive Property

500

Name that property.

(5m - n) x 0 = 0

Zero Product

Evaluating Expressions

100

3/4(c) - 1/6(d)           if c= 2/9 and d = -4

3/4(2/9) - 1/6(-4)

6/36 + 4/6

1/6 + 4/6 = 5/6

200

m⁴ - m² n²                        if m = 2 and n = -9

2m - 2n

2⁴ - 2² x (-9)²

2 x 2 - 2 x -9

16 - 4(81)  = 16 - 324   = -308  = -14

 4 + 18               22             22

300

a² + 4a + 7b              if a = 2 and b = 6

5 - a³

(2)² + 4(2) + 7(6) 

5 - (2)³ 

4 + 8 + 42  = 12 + 42  = 54  = -18

5 - 8                   -3         -3

400

a² - 7a + 19          if a = -2     

(-2)² -7 x -2 + 19

4 + 14 +19

18 + 19

37

500

√(zy) - 2z              if z = 8 and y = 18

√(8 x 18) - 2 x 8

√144 - 16

12 - 16

-4

Rational or Irrational

100

Rational or Irrational

-2.8975

Rational

200

Rational or Irrational

√41

6.40312423743

Irrational

300

Rational or Irrational

3/4

0.75

Rational

400

Rational or Irrational

- 64/4

16

Rational

500

Rational or Irrational

- l 8 x -16 l

- 128

Rational

The Real Number System

100

Name all sets the number belongs. Real, Rational, Irrational, Integer, Whole and Natural.

19/8

2.375

Real and Rational

200

Name all sets the number belongs. Real, Rational, Irrational, Integer, Whole and Natural.

- 56/8

-7

Real, Rational, Integer

300

Name all sets the number belongs. Real, Rational, Irrational, Integer, Whole and Natural.

3.14285714286. . . . . . . .

3.14285714286. . . . . . . .

Irrational

400

Name all sets the number belongs. Real, Rational, Irrational, Integer, Whole and Natural.

√16/64

4/8

Real, Rational

500

Name all sets the number belongs. Real, Rational, Irrational, Integer, Whole and Natural.

³ √-125

-5

Real, Rational, Integer