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Y= method

Patterns TAKS Name__________________________ Class _____________ 5 pts each 100 max_ Tables of value problems are really just patterns for the correct equation and can be done by calculator.. Other pattern problems are handled without the calculator. Y= method

brendan-simpson
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Y= method

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  1. Patterns TAKS Name__________________________ Class _____________ 5 pts each 100 max_Tables of value problems are really just patterns for the correct equation and can be done by calculator.. Other pattern problems are handled without the calculator • Y= method • You have a table of x | y values. Even if they are called m and k, X is on the left and Y is on the right, just change the letters. • On a top bottom table, x is on top and y is on the bottom. • Press the y= button. Type in your first answer. Press the yellow 2nd key and then the blue graph key. X, Y tables will appear. Look up the x values and see if the y values match. If they do, it is the correct answer. If not, it is wrong. • Yes, its that easy. • Or, you can solve them by substitution. • Make a Table X Y 2 4_ _6 __ 12_____ 1 2. Top = x Bottom = y

  2. 4 These tables are like ordered pairs. • X is on the left, y on the right. So, in this problem, f is x and h is y. Change all the letters in the answers to x and y. • You can eliminate G and J as they are x =, not y = answers. 5 Write an equation . Starts with $20 and then subtracts 2.50 for each video rented Y = 20 - __________ Then use y = program

  3. Use Y= as a short cut Which linear function contains the points (-3,10) and (-2,7) HINT!!!!!!! First, if an answer starts with a negative, use the (-) key . If the - is inside the problem, use the subtract blue key. So, answer j would start with the (-) key. Answer H would use the blue subtract key. Hint- f(x) =y Make an x | y table of these 2 points: Now solve. Try the two that start with y =. If they don't work, you will need to use substitution or change the equation to y = form. 6 7

  4. Patterns 9 2-0=__ 5-2=___ 9-5=___ __-9 =____ __-__=____ __-__=____ 8 • How many numbers in row 1? ___Row 2?_____ Row 3? _____So how many in row 7?_______ Answer_______ • That was quick. • Now, look at the other patterns in this triangle. • How do I know the answer will start with 1 6 and end in 6 1? _______________________ Find the intervals between the values of the number of sides and the number of diagonals and see if you can see a pattern.

  5. Don’t let the symbols bother you • Who cares what “I” and all that stuff means. • Look for the pattern. In fact, cross out the “I”s in the first column and look for the pattern in the second column. • Make it easier, make the sq root of -1 a rectangle • Make -1 a circle • Make 1 a triangle • Make – i a star. • Now we are back to elementary school patterns. • Question, what represents i to the 16th power?_______ 10 i7____ i8 ____ i9____

  6. TAKS loves this “n” stuff “n’ is a number. Always try an odd and an even. N = 1 (odd) A. (even?)____ B. (even?)_____ C. (even?)_____ D. (even?) _____ Remember it said ALWAYS an even integer On 12 and 13 Always start these with n=1. Use y = and see which fits the patterns. 11 12 13

  7. 14. This drove Mrs. Craft crazy = ___ squares = __ squares ___= squares = ___ squares I couldn’t solve this until I realized the “Stage” number of the row was “n”. Now count each row and do it. You can also use y = once you know your y values (number of squares. Make an x/y table and use y = program • Write your fractions to one by eights: 1/8,___,___,___,___,___,___,___ • Now reduce them : ___,___,___,___,___,____,___, 1 What’s missing?___

  8. That is 750 Your calculator won’t give you an answer for that. Try it So what is the pattern?_____ How often does it repeat? _____ So, if you count by 4 starting with 1, do you get to 50? (1,5,9,13, etc)______ How about 2?___(2,6,10,etc) How about 3?____(3,7,11,15, etc) How about 4?______(4,8,12,16 etc.) 16 18 This is a “game” problem. 1/3 of the entrance exam for law school are game problems. Order these kids. Racecar, mom, dad are palindrome words. What is a palindrome number ?________________ Careful..is 2525 a palindrome or just a repeating number?______ 17

  9. If this has been reduced to scale, the dots would make squares when connected. Each square would be I unit by 1 unit Connect the dots inside the pentagon that make complete squares and count them. Shade them in. . ______ Now, how many half squares are there?_____ Shade them in. _____ Total ________ Now estimate the remaining area and decide which is closest. 19 Write an equation for the following table using a linear regression. Round to Hundredths Place. Y=_____________________ 20

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