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Real #s Adding & Multiplying & Subtracting Dividing Real #s Real #s Distributive Property Probability & Odds 1pt 1 pt 1 pt 1pt 1 pt 2 pt 2 pt 2pt 2pt 2 pt 3 pt 3 pt 3 pt 3 pt 3 pt 4 pt 4 pt 4pt 4 pt 4pt 5pt 5 pt 5 pt 5 pt 5 pt Graph the numbers on the number line. -0.6 and 2.1 Graph the numbers on the number line. -0.6 and 2.1 WHAT IS Graph the numbers on the number line. 3 1 and -1 10 4 Graph the numbers on the number line. 3 1 and -1 10 4 WHAT IS Write the numbers in increasing order. 1.5, -2.4, 2.1, -1.6, 3.3 Write the numbers in increasing order. 1.5, -2.4, 2.1, -1.6, 3.3 WHAT IS -2.4, -1.6, 1.5, 2.1, 3.3 Write the numbers in increasing order. 5 1 2 2 , 2.5, 1.25, 1 , 1 9 5 9 Write the numbers in increasing order. 5 1 2 2 , 2.5, 1.25, 1 , 1 9 5 9 WHAT IS 2 1 5 1.25, 1 , 1 , 2.5, 2 9 5 9 Write the numbers in increasing order. 3 2 4 2 2 2 1 2 , 2, , 2, 2 , , 4 2 12 2 2 2 Write the numbers in increasing order. 3 2 4 2 2 2 1 2 , 2, , 2, 2 , , 4 2 12 2 2 2 simplify first 4 8 4 1 2 1 1 2 4, 2, , 2, , , 4 1 2 12 3 4 2 2 2 WHAT IS 4 2 3 2 2 2 1 2 2, 4 , 2 , , , 2, 2 2 12 2 2 Find the value of the expression. SHOW YOUR WORK! 8 6 (9) Find the value of the expression. SHOW YOUR WORK! 8 6 (9) 2 (9) 11 WHAT IS -11? Find the value of the expression. SHOW YOUR WORK! 4.2 6.5 Find the value of the expression. SHOW YOUR WORK! 4.2 6.5 4.2 6.5 2.3 WHAT IS -2.3 Find the value of the expression. SHOW YOUR WORK! 4.5 (6.2) 1.7 Find the value of the expression. SHOW YOUR WORK! 4.5 (6.2) 1.7 4.5 6.2 1.7 1.7 1.7 3.4 WHAT IS 3.4? Find the value of the expression. SHOW YOUR WORK! 4 x 6 when x = -2 2 Find the value of the expression. SHOW YOUR WORK! 4 x 6 when x = -2 2 =-4(-2) 6 4(4) 6 16 6 22 2 WHAT IS -22? Find the value of the expression. SHOW YOUR WORK! A telemarketing company had a loss of $2113.145 in July, a loss of $597.11 in August, and a profit of $4121.55 in September. Did the company make a profit during the 3-month period? If so, what was the profit? Find the value of the expression. SHOW YOUR WORK! A telemarketing company had a loss of $2113.145 in July, a loss of $597.11 in August, and a profit of $4121.55 in September. Did the company make a profit during the 3month period? If so, what was the profit? = -2113.145+(-597.11)+4121.55 = -2710.255 +4121.55 = 1411.295 WHAT IS Yes they made a profit of $1411.295? Find the product or quotient (-6) (-11) (7) Find the product or quotient (-6) (-11) (7) =66(7) =462 WHAT IS 462? Find the product or quotient 14 42 ( ) 3 Find the product or quotient 14 42 ( ) 3 3 42 ( ) 3 3 9 14 WHAT IS 9? Find the product or quotient -4 5 ( ) (- ) (-3) 25 16 Find the product or quotient -4 5 ( ) (- ) (-3) 25 16 1 1 3 =( )( )(3) 5 4 20 3 WHAT IS ? 20 Find the product or quotient 3y 3 2 7 Find the product or quotient 3y 3 2 7 3y 7 y 7 7 y 2 3 2 1 2 7y WHAT IS 2 ? Find the product or quotient 14 x 21 7 Find the product or quotient 14 x 21 7 14 x 21 2x 3 7 7 WHAT IS 2x-3? Simplify the expression. -7 (x - 5) Simplify the expression. -7 (x - 5) = -7x+35 WHAT IS -7x+35? Simplify the expression. 3x (2 - 4x) Simplify the expression. 3x (2 - 4x) 3 x(2) (3 x)(4 x) 6 x 12 x WHAT IS 2 6 x 12 x 2 ? Simplify the expression. – x (10 - 7x) Simplify the expression. – x (10 - 7x) x(10) ( x)(7 x) 10 x 7 x WHAT IS 2 10 x 7 x 2 ? Simplify the expression. 7x + 5(1 - x) Simplify the expression. 7x + 5(1 - x) 7 x 5(1) 5( x) 7 x 5 5x 2x 5 WHAT IS 2x 5 ? Simplify the expression. 3y - (6y + 2) (-y) Simplify the expression. 3y - (6y + 2) (-y) 3 y [(6 y )( y ) (2)( y)] 3 y [6 y 2 y ] 2 3y 6 y 2 y 2 5y 6y 2 WHAT IS 5y 6y ? 2 You have a bag of 56 marbles, 24 or which are blue. What is the probability that you will choose a blue marble? You have a bag of 56 marbles, 24 or which are blue. What is the probability that you will choose a blue marble? 24 3 P 56 7 0.429 or 43% WHAT IS 3 ? 7 You toss two coins. What is the probability that both are tails You toss two coins. What is the probability that both are tails outcomes HH, HT, TH, or TT 1 P 4 0.25 or 25% 1 WHAT IS ? 4 You toss two coins. What are the odds they are both tails? You toss two coins. What are the odds they are both tails? outcomes HH, HT, TH, or TT WHAT IS 1 odds 3 0.3 or 33.3% What is the probability that you will roll a number greater than 2 on a toss of a six-sided number cube? What is the probability that you will roll a number greater than 2 on a toss of a six-sided number cube? outcomes = 1, 2, 3, 4, 5, 6 4 2 P 6 3 0.6 or 66.6% 2 WHAT IS 3 In 1996 there were 1245 hazardous waste sites, of which 1089 were nonfederal sites. The newspaper carried a story about a hazardous waste site. What are the odds that it was a federal site? In 1996 there were 1245 hazardous waste sites, of which 1089 were nonfederal sites. The newspaper carried a story about a hazardous waste site. What are the odds that it was a federal site? 1245 1089 156 odds 1089 1089 156 WHAT IS 1089