Algebra Demystified 2nd Ed

26 alGebra De mystif ieD SOLUTIONS 1.^335 9 3 9 5 27 (^595) =÷=⋅= 2.^884 3 8 3 4 24 4 4 6 3 =÷=⋅== 3. (^57) 2 5 7 2 5 7 1 2 5 14 ...

Chapter 1 FraCtions 27 PRACTICE Write the mixed number as an improper fraction. 1.^178 = 2. 513 = 3. 247 = 4. 9116 = 5. 858 = SO ...

28 alGebra De mystif ieD In an improper fraction, the numerator is the dividend and the divisor is the denominator. In a mixed n ...

Chapter 1 FraCtions 29 PRACTICE Write the improper fraction to a mixed number. 1.^13 4 2.^19 3 3.^39 14 4.^24 5 5.^26 7 SOLUTION ...

30 alGebra De mystif ieD 4. ) 24 (^5524) 4 20 4 24 5 (^445) − ) 26 (^7726) 3 21 5 26 7 3 (^57) − Mixed Number Arithmetic We ...

Chapter 1 FraCtions 31 3149 − (^16) 5.^234 +^56 4223 + (^15) 53121 −^38 SOLUTIONS 2117 7 3 2 34 14 21 14 55 14 (^37) + ...

32 alGebra De mystif ieD Instead, let us rewrite the mixed numbers as improper fractions before multiplying: 14 3 2 13 3 39 6 13 ...

Chapter 1 FraCtions 33 EXAMPLE 3 1 10 3 7 5 10 3 5 7 50 21 2 31 (^25) (^103) (^75) ==÷= ⋅= = 218 PRACTICE Convert the mixed numb ...

34 alGebra De mystif ieD 3.^1 1 19 15 5 4 19 15 4 5 76 75 1 154 41 (^1915) 45 ==÷= ⋅= = 751 4.^5 33 11 2 3 11 2 1 3 11 6 1 (^121 ...

Chapter 1 FraCtions 35 We will ease into the topic of word problems by translating English sen- tences into mathematical sentenc ...

36 alGebra De mystif ieD PRACTICE Translate the English sentence into a mathematical sentence. Fifteen less four is eleven. Sev ...

Chapter 1 FraCtions 37 10 < 12 10 ≤ 12 12.^34 ⋅=^1612 2 · 15 = 30 14 − 5 = 9 9 > 6 9 ≥ 6 Summary In this chapter, we lea ...

38 alGebra De mystif ieD • Simplify compound fractions. Rewrite the compound fraction as a division problem and then as a mult ...

Chapter 1 FraCtions 39 Quiz Write 523 as an improper fraction. a.^10 3 b.^18 3 C.^7 3 D.^17 3 2.^11 18 1 6 −= a.^5 3 b. 2 3 C. ...

40 alGebra De mystif ieD 4.^2 9 5 6 += a.^7 15 b.^19 18 C.^1 2 D.^10 9 Write^163 as a mixed number. a. 531 b. (^523) C. (^613) ...

Chapter 1 FraCtions 41 7.^1 15 1 3 += a.^7 15 b.^1 5 C.^2 5 D.^8 15 1 1 2 (^35) −= a.^7 5 b.^9 10 C. (^115) D. 1101 9.^42 3 = ...

42 alGebra De mystif ieD 10.^2 3 7 12 1 18 ++= a.^5 4 b.^47 36 C.^4 3 D.^43 36 3134 +=^56 a.^65 12 b.^17 3 C.^11 2 D.^67 12 12 ...

Chapter 1 FraCtions 43 Write in mathematical symbols: Eight is three more than five. a. 83 >+ 5 b. 35 >= 8 C. 83 =+ 5 D. ...

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45 chapter 2 Introduction to Variables Variables lie at the heart of courses from algebra to calculus and beyond. In this introd ...