Page 45 - Math Course 1 (Book 2)
P. 45

Linear Equations: Multiplication and Division




               Real World Example                                 Solve Using Multiplication by a Fraction

                                                                           1
                 SPACE TRAVEL                                      Solve  (4      ) m = 5  3
                                                                                    7
                                                                           3
                 On July 20, 1969, Neil Armstrong stepped on the
                 surface of the Moon.  On the Moon, his suit and         23
                 life-support backpacks weighed about 33 pounds.    A.  1  91
                 An item’s weight on the Moon is about one sixth         2
                 its weight on Earth. What would be the weight of    B.  6  7
                 Neil Armstrong’s suit and life-support backpacks        2
                 on Mars if three times the Mars weight equals the    C.  1  21
                 Earth weight?
                                                                   D.  5
                       33 pounds
                    (weight on moon)                                 Answer
                       x 6  =  198
                    (weight on Earth)



                  Words     Three times the weight on Mars         Solve 32 = –14c.
                            equals the weight on Earth.
                                                                   A.  –3
                 Variables  Let w = the weight on Mars.
                                                                   B.  46

                 Equation   3 × w = 198                            C. 18
                                                                         2
                                                                   D. –2
                                                                         7
                     3w = 198      Original equation
                                                                     Answer

                                    Multiply each side by




                      w = 66
                                                                  Real World Example
                                 The weight of Neil Armstrong’s
                    Answer       suit and life-support backpacks    Refer to the information about Neil Armstrong in
                                 on Mars would be 66 pounds.       Example 3. If Neil Armstrong weighed 216 pounds
                                                                   on Earth, how much would he weigh on Mars?

                                                                   A.  216 pounds
                                                                   B.  140 pounds
                 Your Turn!                                        C.  72 pounds
                                                                   D.  282 pounds
                Solve Using Multiplication by a Positive Number
                        a     2
                 Solve     =                                         Answer
                       18     3

                 A. 12
                 B. 36
                 C. 27
                 D. 18


                   Answer


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