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INTERGRATED ALGEBRA JEOPARDY How to use actions Home button takes you to the jeopardy board Click on numbers under topics to go to it Click “answer” action to get answer Click “hint” action to get a hint RULES OF THE GAME • • • • • • Every group/ person will be given 2 minutes to solve questions and 3-4 minutes to solve 600 point questions; if not solved in time given, the other team will get a chance to solve Be respectful to other classmates Only one person from group can answer at a time No person can answer a question more than once Answers have to be in question format; if not team/ person will loose turn To start the game click the “home” icon on this slide Formula for a HINT linear equation ANSWER Similar HINT to an equality ANSWER Do not consider HINT decimals ANSWER Parallel HINT or? ANSWER Inverse HINT operations ANSWER Convert into slopeHINT intercept form ANSWER Use point slopeHINT formula ANSWER The points HINT are not uniform ANSWER expand HINT ANSWER What two #’s when added = 7 HINT and when multiplies =12? ANSWER Think of how would look HINT before foiled ANSWER Distributive HINT property ANSWER Has slope HINT & y-intercept ANSWER Not equal HINT to y; equal to 0 ANSWER Can be in foil form or expanded HINT form; subtraction ANSWER x=? HINT ANSWER Pay attention HINT to total ANSWER There is an equal sign between HINT the two expressions ANSWER Try plugging HINT #’s in ANSWER Pay attention to HINT words that mean an operation ANSWER EXPLANATION EXPLANATION EXPLANATION EXPLANATION EXPLANATION EXPLANATION EXPLANATION EXPLANATION EXPLANATION EXPLANATION EXPLANATION EXPLANATION EXPLANATION EXPLANATION DAILY DOUBLE!!! EXPLANATION EXPLANATION EXPLANATION EXPLANATION EXPLANATION EXPLANATION EXPLANATION To find the slope, you divide the difference of the y-coordinates of a point on a line by the difference of the xcoordinates 𝚫𝒚 𝚫𝒙 EXPLANATION There are other special symbols that show in what way things are not equal. a < b says that a is less than b. a > b says that a is greater than b. (those two are known as strict inequality) a ≤ b means that a is less than or equal to b. EXPLANATION Counting numbers are the set of numbers that we use to learn how to count. 1, 2, 3, 4, 5, and so on. They are also called natural numbers—maybe since they feel natural to us because they are naturally the first numbers we learn. Sometimes they are also referred to as positive integers. EXPLANATION A line is said to be perpendicular to another line if the two lines intersect at a right angle. EXPLANATION y – 4 = -2(x+1) y – 4 = -2x -2 (distributive property) +4 +4 (inverse operations) y = -2x + 2 EXPLANATION -> 2y – 3x = 4 +3x +3x (inverse operations) -> 2y = 3x + 4 2 -> y = 3 x 2 +2 Slope = 𝟑 𝟐 (inverse operations) EXPLANATION i. Given: *slope=7 *point: (0,4) {y-intercept} ii. Plug given into y = mx + b *y = 7x + 4 EXPLANATION Given: i. Point A(3, -1), B(-3, 5) Δ𝑦 ii. Find slope using Δ𝑥 iii. 5 – (-1) 6 -1 -3 – 3 -6 iv. Point slope form: y – y1 = m(x – x1) y – (-1) = -1(x – 3) y + 1 = -x +3 -1 -1 y = -x + 2 EXPLANATION 𝒙𝟐 - 4 (x + 2)(x – 2) (find the roots) x + 2 =0 -2 -2 x = -2 x=±2 x–2=0 +2 +2 x=2 EXPLANATION 𝒙𝟐 - 7x + 12 (x – 4)(x – 3) x–4=0 x–3=0 + 4 +4 x=4 x = +3, +4 +3 x=3 +3 EXPLANATION y = 𝒙𝟐 - 3x -4 (x – 4)(x + 1) x–4=0 +4 x+1=0 +4 x=4 x = -1, x= 4 -1 x = -1 -1 EXPLANATION 𝒙𝟐 - 84x = 0 x(x – 84) = 0 x=0 x – 84 = 0 +84 x = 84 x = 0, x = 84 +84 EXPLANATION EXPLANATION DAILY DOUBLE!!! EXPLANATION EXPLANATION EXPLANATION Jose wants to ride his bike a total of 50 miles this weekend. If he rides m miles on Saturday, what expression represents the number of miles he must ride on Sunday? Total # of miles he wants to ride is 50. He rides m miles on Saturday 50 – m would be the equation since 50 is the total and m is a part. EXPLANATION The product of a number and 3, increased by 5, is 7 less than twice the number. What equation can be used to find this number, n? Product of a number and 3; 3x Increased by 5; +5 Is; = 7 less than; - 7 Twice the number; 2x 3x + 5 = 2x - 7 3x + 5 2x - 7 EXPLANATION The square of a positive number is 24 more than 5 times the number. What is the value of the number? 32= 9 ; 3 • 5 = 15 ; 9 is not 24 more than 15. 62 = 36; 6 • 5 = 30; 36 is not 24 more than 30. 82 = 64; 8 • 5 = 40; 64 is 24 more than 40. 42 = 16; 4 • 5 = 20; 16 is not 24 more than 20. EXPLANATION Owino gets paid $280 per week plus 5% commission on all sales for selling electronic equipment. If he sells n dollars worth of electronic equipment in one week, what algebraic expression represents the amount of money? $280 per week; he initially gets paid $280 in the beginning of each week Plus 5% commission on all sales; .05 * n since we don’t know the amount of commission on sales. 280 + .05n Basic Integrated Algebra Definitions Slopes ROOTS OF QUADRATIC EQUATIONS Formulas WORD PROBLEMS 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 600 600 600 600 600