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Homework check day!. Please take out your homework from yesterday Academic: Page 8 #1 – 23 (odd numbers), 25, Page 9#1 – 5 Applied: Page 8 #2 – 6 . Evaluating Equations and Problem Solving. Evaluating Equations.
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Homework check day! • Please take out your homework from yesterday Academic: Page 8 #1 – 23 (odd numbers), 25, Page 9#1 – 5 Applied: Page 8 #2 – 6
Evaluating Equations If you have the equation, 3n + 2, what is the value of this equation when n = -1? • 5 • 3 • -5 • -1
Evaluating Equations If you have the equation, 3n + 2, what is the value of this equation when n = -1? • 5 • 3 • -5 • -1
Evaluating Equations If you have the equation, 1 – 4x + y, what is the value of this equation when x = –5 and y = 2? • -3 • -17 • 23 • 17
Evaluating Equations If you have the equation, 1 – 4x + y, what is the value of this equation when x = –5 and y = 2? • -3 • -17 • 23 • 17
Problem Solving Example: If Codey is dirt biking at 30 km/h and he bikes for half an hour, how much distance did he cover? • Turn these words into an equation where speed is v and distance is d. • Plug v = 30 and d = ½ into your equation.
Problem Solving Example: Josh is organizing a a music show. He charges 10$ per ticket, but he spends 170$ for the venue. If the number of people who come is n, write an expression for how much will Josh make on the concert?
Example In your teams: • A) Light travels at 298 000 km/s. Write and equation for d, the distance as a function of time, t. B) A light-year is the distance that light travels in one year. How far is a light-year in kilometers? • Create your own word problem. Challenge another team to write the expression representing your word problem
Rearranging Equations Friday, Jan 31st
Rearranging Equations Rearrange this equation for x: 3x + 2 = 14 • x = 3 • x = 4 • x = 5 • x = 6
Rearranging Equations Rearrange this equation for x: 3x + 2 = 14 • x = 3 • x = 4 • x = 5 • x = 6
Cheat sheet: How to rearrange equations • Want to get rid of something that is added? Subtract it from both sides. • Want to get rid of something that is subtracted? Add it to both sides. • Want to get rid of something that is multiplied? Divide both sides by it. • 4. Want to get rid of something that is divided? Multiply both sides by it. If A + B = C, then A = C – B If A – B = C, then A = C + B C B If AB = C, then A = A B If = C, then A = CB
Problem Solving Example: Josh is organizing a a music show. He charges 10$ per ticket, but he spends 170$ for the venue. If the number of people who come is n, write an expression for how much will Josh make on the concert. How many people would need to come to the music show in order for Josh to break even? How many people would need to come to the music show in order for Josh to make a profit of 300$?
Rearranging Equations with Fractions Example: 3 4 A B = Solution: 4 3 A = B
Rearranging Equations with Fractions Example: 7 2 B = – A Solution: 2 7 A = – B
Rearranging Equations Example: Solve for B in these equations! 4B – 3 = 5 3A – ½B + C = 4D
Rearranging Equations Practice in your teams: Solve for A in each equation 1) 3A – 2 = 7 2) 4 + A = 1 3) ¾A + ½ = –½ Extra challenge: 4) 7 3 5 3 – ½A = –7
Homework Page 11 #13, 15, 19 Page 13 #1 – 6, 9 Extra challenge: Logic Power on page 13