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Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 4 3 2 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBER INTEGER RATIONAL NUMBER RATIONAL NUMBER

Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

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Page 1: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

Are the following numbers a... WHOLE NUMBER?

INTEGER?RATIONAL NUMBER?

-5

9

4

3

2

9

WHOLE NUMBER RATIONAL NUMBER

INTEGER

RATIONAL NUMBERINTEGER

RATIONAL NUMBER

RATIONAL NUMBER

Page 2: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

Are the following numbers a... WHOLE NUMBER?

INTEGER?RATIONAL NUMBER?

4

-6

4

35

7.1

WHOLE NUMBER

RATIONAL NUMBERINTEGER

RATIONAL NUMBERINTEGER

RATIONAL NUMBER

RATIONAL NUMBER

Page 3: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

aa 0

070

5885

1.Associative 2.Commutative 3.Property of -14.Identity5.Inverse 6.Property of Zero

Matching. Identify the property being illustrated.

Commutative

Property of 0

Identity

Page 4: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

257257

022 xx

414 1.Associative 2.Commutative 3.Property of -14.Identity5.Inverse 6.Property of Zero

Matching. Identify the property being illustrated.

Associative

Property of -1

Inverse

Page 5: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

Let U be the set of Integers from 1 to 9.

Let A = {3, 5, 6, 7} B = {2, 3, 5, 7}.

A U B A ∩ B

Page 6: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

Consider the function y = x + 3 with Domain D = {0, 1, 2, 3}

Write the range and function using set notation.

Page 7: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

You have $100 in your pocket.If you have a hole in your pocket

and you lose $4 per day.

How much money will you have in your pocket after 6 days?

Page 8: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

You are making necklaces using two different colors of stone beads.

Stone A costs $.07 per bead and stone B costs $.05 per bead.

You need 50 beads to complete a necklace. The equation C = $.07n + $.05(50 – n) gives the total cost c as a function of the number n of stone A beads

used.

Find the total cost if you use 35 stone A beads.SHOW WORK!

Page 9: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

Order the numbers from least to greatest.

5 1, 2,3, , 1.07

3 2

5 12, , 1.07, ,3

3 2

Page 10: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

15, 4.3,4.2,0, 25

25, 4.3,0, 15,4.2

Order the numbers from least to greatest.

Page 11: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

For the given value of a, find – a.

3a 3 a

5a 5 a

2a )( a 2

Page 12: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

See if you can do these without a calculator!-14 + 5 = 6.4 + (-7 ) = 5x when x = 1.2-12-(-3) =

-9-.6

5(1.2) = 6-9

-3+2= -1 F

Page 13: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

The temperature was -3 degrees F in the morning and then rose 2 degrees F by noon.

What was the temperature at noon?

-3+2= -1 F

Page 14: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

1. 5.

2. 6.

3. 7.

4. 8.

1 1

3 6

5 2

11(2)

36 6

(2)( 5)

312

5

105

11

1( 20)( 5)

5

-3

-1/6

-22

10

-6

-20

1

20

11

2

Page 15: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

Evaluate when y = -10 and x = - 6 .

8 ( )x y

x

y

4x y

6

8 ( 6 10) 4

10

14

Page 16: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

4( 2)x Simplify the expression.

3( 2)x

7( 2) 3x x

3( 2)x x

5 ( 3) 4x x

4x+8-3x+6

4x-64x-14

4x+1

Page 17: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

15 20

5

a

4 12

4

x

2 121

3

x

Simplify the expression.

2 24 1 5

3 3x x

3 4a

3x

Page 18: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

Check the box for each correct description of the given number.

NUMBER Real #

Irrational #

Rational#

Integer Whole#

0

5

-4

41

3

Page 19: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

Check the box for each correct description of the given number.

NUMBER Real #

Irrational #

Rational#

Integer Whole#

-2

1

3

5

43

3

6

Page 20: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

2

1,6.,5.1,0,

3

1

5.1,2

1,0,

3

1,6.

Order the numbers from least to greatest.

Page 21: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

Order the numbers from least to greatest.

4,9,5.3,8,2.3

5.3,2.3,9,4,8

Page 22: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

X = 3 and y = -5

36. 7x – 2 37. y – x 38. 2x – y39. )3(2 yx

19

11-8

11

Page 23: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

Evaluate the expression.40.

41.

42.

22398

13

13172

]4)35[(42 32

9

29

½

Page 24: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

Simplify the expression.43.

44.

45.

)8(6 x

)2)(11( yy

)26(28 xx

-6x+48

20x - 4

-2y2 + 22y

Page 25: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

46. If the area of a square is 121in2, what is the

length of one side?

in11121

Page 26: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

47. Evaluate the expression for the given value of x.

x2 when x = 25

352252

Page 27: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

48. Evaluate the expression for the given value of x.

94 x when x = 1

13914

Page 28: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

49. Use the rectangle below with the given dimensions

8

5 + 2w

ww 1640)25(8

What is the area?What is the perimeter?

264)25(2)8(2 ww

Page 29: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

50. Evaluate: when x = 25

51. Evaluate: when x = 1

52. Simplify: 4(x - 5) + 2x =

x2

94 x

352252

1394914914

2062204 xxx

Page 30: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

Evaluate.53.

54.

55.

36

16 - 4

144 -12

6

Page 31: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

1. An awards dinner costs $225 plus $5 per person. The total bill is $735. How many people attended the dinner?

2. Evaluate the expression where x = 2.

3

543 2

x

x

x+ =

2

3

102 people

78/10

Page 32: Are the following numbers a... WHOLE NUMBER? INTEGER? RATIONAL NUMBER? -5 9 WHOLE NUMBER RATIONAL NUMBER INTEGER RATIONAL NUMBERINTEGER RATIONAL NUMBER

3. Evaluate the expression where x = 2.

4.

22[4( 3) ] 10x

2 23 4 6

3

190

9