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 Algebra	
  Library	
  
	
  
Chapter 1: Pre-Algebra Concepts
Lesson 3.4: Order of Operations
	
  
	
  
Practice

Simplify the expression.
                                                          (7•(–5) – 5•(–8) + 8•2)2
                                                    9.
       1.   (2•3 + 6 ÷ 3 – 4•5)2                                  (7 – 5)2

       2.   (4•7 + 10 ÷ 5 – 9•3)2                         (9•(–2) – 6•(–2) + 12•4)2
                                                    10.
                                                                  (48 – 9)2
       3.   (6•(–4) + 10 ÷ (–2) – 6•2)3
                                                          (9•2 – 3•5)2 + (10•2 + 4•8)2
                                                    11.
       4.   (7•(–7) + 18 ÷ (–3) –   9•3)3                       (5 – 3)2 – (4 –2)2

       5.   (9•(–2) + 22 ÷ (–2) – 6•4)4
                                                          (10•3 – 5•7)2 + (11•3 + 5•9)2
                                                    12.
            (5•6 + 8•3 – 9•7)2                                  (7 – 2)2 – (8 –3)2
       6.
                 (4 – 3)2                                 (5•(–3) – 5•4)2 + (9•3 + 6•7)2
                                                    13.
                                                               (15 – 10)2 – (7 –3)2
            (7•3 + 5•2 – 8•4)2
       7.
                 (7 – 2)2
                                                          (8•(–1) – 4•7)2 + (12•3 + 3•6)2
                                                    14.
            (6•(–4) – 6•(–3) + 6•3)2                             (7 – 2)2 – (12 –4)2
       8.
                    (8 – 9)2



       15. Write an expression to find the total area of these tiles. What is the
           total area?




                                            1	
  
 Algebra	
  Library	
  
	
  
Chapter 1: Pre-Algebra Concepts
Lesson 3.4: Order of Operations
	
  
	
  
Answer Key

       1.   144                                  10.   196/169
       2.   9                                    11.   –2713/5
       3.   –68,921                              12.   6109/9
       4.   –551,368                             13.   5986/9
       5.   7,890,481                            14.   –108
       6.   81                                   15.   5•8•4 + 4•3•10 + 2•2•25 =
       7.   1/25                                       309
       8.   144
       9.   441/4




                                         2	
  

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1.3.4

  • 1.  Algebra  Library     Chapter 1: Pre-Algebra Concepts Lesson 3.4: Order of Operations     Practice Simplify the expression. (7•(–5) – 5•(–8) + 8•2)2 9. 1. (2•3 + 6 ÷ 3 – 4•5)2 (7 – 5)2 2. (4•7 + 10 ÷ 5 – 9•3)2 (9•(–2) – 6•(–2) + 12•4)2 10. (48 – 9)2 3. (6•(–4) + 10 ÷ (–2) – 6•2)3 (9•2 – 3•5)2 + (10•2 + 4•8)2 11. 4. (7•(–7) + 18 ÷ (–3) – 9•3)3 (5 – 3)2 – (4 –2)2 5. (9•(–2) + 22 ÷ (–2) – 6•4)4 (10•3 – 5•7)2 + (11•3 + 5•9)2 12. (5•6 + 8•3 – 9•7)2 (7 – 2)2 – (8 –3)2 6. (4 – 3)2 (5•(–3) – 5•4)2 + (9•3 + 6•7)2 13. (15 – 10)2 – (7 –3)2 (7•3 + 5•2 – 8•4)2 7. (7 – 2)2 (8•(–1) – 4•7)2 + (12•3 + 3•6)2 14. (6•(–4) – 6•(–3) + 6•3)2 (7 – 2)2 – (12 –4)2 8. (8 – 9)2 15. Write an expression to find the total area of these tiles. What is the total area? 1  
  • 2.  Algebra  Library     Chapter 1: Pre-Algebra Concepts Lesson 3.4: Order of Operations     Answer Key 1. 144 10. 196/169 2. 9 11. –2713/5 3. –68,921 12. 6109/9 4. –551,368 13. 5986/9 5. 7,890,481 14. –108 6. 81 15. 5•8•4 + 4•3•10 + 2•2•25 = 7. 1/25 309 8. 144 9. 441/4 2