New PDF release: TExES Mathematics-Science 4-8 114 Teacher Certification Test

By Sharon Wynne

ISBN-10: 1607879301

ISBN-13: 9781607879305

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Extra info for TExES Mathematics-Science 4-8 114 Teacher Certification Test Prep Study Guide, 2nd Edition (XAM TEXES)

Example text

N)(n + 1) . 2 Beginning step. And MATHEMATICS-SCIENCE 4-8 29 Statement is true in a particular instance. TEACHER CERTIFICATION STUDY GUIDE Assumption Let n = k + 1 k=n-1 (k )(k + 1) + (k+1) 2 (k )(k + 1) 2( k + 1) + 2 2 (k )(k + 1) + 2( k + 1) 2 (k + 2)(k + 1) 2 (k + 1) + 1)(k + 1) 2 Then [1 + 2 +…+ k] + (k+1) = = = = = Substitute the assumption. Common denominator. Add fractions. Simplify. Write in terms of k+1. For n = 4 , k = 3 = ( 4 + 1)( 4=) 2 20 = 10 2 Conclude that the original statement is true for n = k+1 if it is assumed that the statement is true for n = k.

50. She only has $50. Can she purchase everything? 00 Yes, she can purchase the CD and the shoes. The difference between permutations and combinations is that in permutations all possible ways of writing an arrangement of objects are given, while in a combination, a given arrangement of objects is listed only once. Given the set {1, 2, 3, 4}, list the arrangements of two numbers that can be written as a combination and as a permutation. Combination 12, 13, 14, 23, 24, 34 Permutation 12, 21, 13, 31, 14, 41, 23, 32, 24, 42, 34, 43, six ways MATHEMATICS-SCIENCE 4-8 twelve ways 26 TEACHER CERTIFICATION STUDY GUIDE Using the formulas given below the same results can be found.

Winters bought 4 dresses and 6 pairs of shoes for $340. Mrs. Summers went to the same store and bought 3 dresses and 8 pairs of shoes for $360. If all the dresses were the same price and all the shoes were the same price, find the price charged for a dress and for a pair of shoes. Let x = price of a dress Let y = price of a pair of shoes Then Mrs. Winters' equation would be: 4 x + 6 y = 340 Mrs. Summers' equation would be: 3 x + 8y = 360 To solve by addition-subtraction: Multiply the first equation by 4: 4(4 x + 6 y = 340) Multiply the other equation by −3 : −3(3 x + 8 y = 360) By doing this, the equations can be added to each other to eliminate one variable and solve for the other variable.

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TExES Mathematics-Science 4-8 114 Teacher Certification Test Prep Study Guide, 2nd Edition (XAM TEXES) by Sharon Wynne

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