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Expressions and Equations Teks: 6.2E, 6.7A,B,C,D 6.9A,6.10B Common Assessment #3A
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Models Using the distributive property: (2 ● x) - (2 ● 3) = 2x - 6 This shows two groups of (x-3) This shows 2 x’s - 6
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Models 6.9A The 6 th grade students sold potted flowers and potted vegetables to raise money for a class trip. They raised $289 for the trip. Sales of flowers raised $153. Let v be the number of dollars raised selling vegetables. Which bar diagram and equation model the problem? vegetables + flowers= $289 v + 153 = $289
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6.9A 6.10B Angelo’s pet rabbit weighs 1 pound less than the weight of Carmen’s pet rabbit. Angelo’s rabbit weighs 9 pounds. Which equation can be used to find w, the weight of Carmen’s pet rabbit? 9 = w + 1 9 = w – 1 9 – w = 1 w + 9 = 1 Checking to see if it makes sense: if Angelo’s rabbit weighs 9 pounds and is one pound less than Carmen’s, then you would have to add one pound to his 9 pound rabbit to equal Carmen’s. w – 1 one pound less than
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A group of 4 friends is planning a fun day trip. A raft trip costs $6 per person plus $5 for transportation of the raft. An amusement park costs $14 per person. A hot air balloon ride costs $30 per person, but they have a $40 group discount coupon. ActivityCost ($) Raft Trip Amusement Park Balloon Ride The table shows equations for the total cost of each activity for n people. Which activity should they choose if they want to spend exactly $29? Raft trip plug in 4 and it = 29! Amusement park not reasonable Balloon ride plug in 4 and it =80 Not here
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“top dog in the house- bottom out” This is 10 ÷ 9
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Order of operations PEMDAS 5 9
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Which of the following is equivalent to 3²? 3 2 = 3 x 3 = 9 16 + 4|-2| - 18 16 + 8 – 18 24 – 18 6 10 2 ÷ ( 14 ÷ 7) – 35 – 15 100 ÷ ( 14 ÷ 7) – 35 – 15 100 ÷ 2 – 35 – 15 50 – 35 – 15 15 - 15 0 7|10-22| ÷ 4 – 12 7| -12| ÷ 4 – 12 84 ÷ 4 – 12 21 – 12 9
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Equation vs expression You evaluate an expression for a particular value. Ex. Evaluate 5g for g= 2 There isn’t an = sign in an expression You solve an equation. 21 = 3y 21 = 3y 3 3 7 = y
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