 Turn in syllabus return slip (pass up) ◦ Due today or tomorrow  Take out last night’s hw ◦ Stamp  Take out piece of paper ◦ Fold in half (Warm up & Ticket out the door) ◦ For WARM UP (Do it soooooon!)

 The graph shows the cost of bowling for one person. a. Make a table. b. How much does 8 games cost for one person? c. What is the total cost if 4 people each bowl 4 games? EXPLAIN!

# of Games ProcessCost per person 13(1)$3 23(2)$6 33(3)$9 ∶∶∶ 83(8)$24 n3(n)$3n

b. Each game costs $3 for one period. It costs $24 for one person to play 8 games. c. Each game costs $3 per person. So it costs $12 for one person to play 4 games. Therefore, it will cost $48 total for 4 people to play 4 games each.

Algebra II

 To graph & order real numbers  To identify properties of real numbers

 Use natural numbers to count 1, 2, 3, …  NO ZERO!!!

 Natural numbers & zero 0, 1, 2, 3, …  Include ZERO, think w“hole”

 Natural numbers, their opposites, and zero …–3, –2, –1, 0, 1, 2, 3, …

 Numbers you can write as a quotient of integers (fractions)  Decimals terminate (end)  Decimals repeat

 Decimals do not repeat nor end  Cannot be written as a fraction

1, 2, 3… Natural # 0, 1, 2, 3… Whole # … –3, –2, –1, 0, 1, 2, 3… Integers Real Numbers (R) Irrational #

 – 7 = 3 R, Q, Z, W, N R, Q R, Q, Z R, I

3.8 < 3.1 > 3.2 < >

 Opposite – aka additive inverse, of any number a is –a. 12 & –12 –7 & 7

Addition Multiplication  a +b is a real #  ab is a real #  a + b = b + a  ab = ba  (a+b)+c=a+(b+c)  (ab)c = a(bc)

Addition Multiplication  a + 0 = a  0 + a = a  0 is the additive identity  a + (–a) = 0

Addition Multiplication

 3(x + y) + 2x = (3x + 3y) +2x Commutative Prop of Mult. Inverse Prop of Mult. Distributive Prop

=[ a + (-a) ] + 3 ] = = 3

=[ a + (-a) ] + 3 ] = = 3 Commutative Prop of Add. Associative Prop of Add. Inverse Property of Addition Identity Property of Addition

 Are there two integers with a product of –12 and a sum of –3?  Explain.