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Math Basketball Algebra II Mid-Chapter 2 Test Review How to play Math Basketball • Your table group will be your team • A problem will be displayed and your team will need to work together to find a solution to the problem in the time given. • Only one member of the team may write during a given problem and that role must switch to a new team member before the next question. How to play Math Basketball (cont.) • Upon finding the solution, a team will raise their hands and I will confirm the solution • But, be warned…a team may only raise their hand once to show me the solution…so make sure everyone on the team agrees on the solution before showing me…for showing me the wrong solution means scoring no points • Every team (not just the first) may score 1 point if they raise their hand and show the correct answer How to play Math Basketball cont. • After the time allotted for a question has passed (and we see how the problem is solved), those teams that have scored 1 point on the question will have a chance to shoot for a 2nd point. • So, each team has the possibility of scoring 2 points for each question • The team that finishes last will get 1 point, second to last will get 2 points, and so on. Cheating Anything that would fall into the category of cheating (or negative remarks towards another team) will result in negative points awarded to the team(s) involved. Any questions??? Time to play Math Basketball!!!!! Question #1: Find the x- and y-intercepts of each line: a) x – 3y = 9 b) y = 7x + 5 c) y = 6x Question #2: Write the equation of each line in slope-intercept form and identify the slope. a) 2x – y = 9 b) 4x + 6y = 12 Question #3: Write an equation of each line in standard form with integer coefficients: a) The line through (2,3) and (4,5) b) The line through (-4,2) with slope 3 Question #4: Write an equation of each line in point-slope form: a) (-4,2) and (-3,5) b) (0,0) and (-4,-5) Question #6 • Find the equation of a line that is perpendicular to the line 3x + 2y = 6 that also goes through the point (3,0). Question #7 • Write an equation of the following line in standard form with integer coefficients: y = -3/5x + 3 Question #8 • Write in point-slope form an equation of the line through the following pairs of points. a) (-10,3) and (-2,-5) b) (7,11) and (13,17) Question #10 • Find the x- and y-intercepts and graph the line. 5x + 7y = 14 Question #11 • Write the equation of the line through each point. (1,-1); parallel to y = 2/5x - 3 Question #12 • Write the equation of the line through each point. (-3,1); perpendicular to y = -2/5x – 4 Question #13 a. Your friend says the line y = -2x + 3 is perpendicular to the line x + 2y = 8. Do you agree? Explain. b. If the intercepts of a line are (a,0) and (0,b), what is the slope of the line? c. Which form would you use to write the equation of a line if you knew its slope and xintercept? Explain. Question #14 • The cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of the number of people attending. • What is the cost for 77 people? Question #15 • Write the equation of the line through each point. Use slope-intercept form. (-2,1); perpendicular to 3x + y = 1 Answers 1. a) (0,-3), (9,0) b) (0,5), (-5/7,0) c) (0,0), (0,0) 2. a) y = 2x -9 slope = 2 b) y = -4/6x + 2 slope = -4/6 3. a) –x + y = 1 b) -3x + y = 14 4. a) y – 2 = 1(m + 4) or y – 5 = 1(m + 3) b) y + 5 = 5/4 (x + 4) or y – 0 = 5/4 (x – 0) Answers 6. y = -3/2x + 3 y – 0 = 2/3 (x – 3) 7. 3x + 5y = 15 8. a) y – 3 = -1(x + 10) or y + 5 = -1 (x + 2) b) y – 17 = 1 (m – 13) or y – 11 = 1 (m – 7) 10. (0,2) (14/5, 0) 11. y + 1 = 2/5 (x – 1) 12. y – 1 = 5/2 (x + 3) 13. No, not negative reciprocal 14. Y = 15x + 95 = $1250 15. Y = 1/3x + 5/3