Page 166 - Maths Class 06
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SOLUTION :    (a) Thrice of a = 3 × a =3a
                          \    Five more than thrice of a = 3a + 5.
                          (b) Four times a = 4 × a = 4a
                               Five less than b = b – 5
                          \                             4a = b – 5.
                                                                        ab
                          (c) The product of a and b divided by 9 =        .
                                                                        9

            EXAMPLE 9.    The algebraic expressions m +   n and m +  m indicate sums. How do they differ?
            SOLUTION :    The expression   m +  m  uses the same letter  and shows that the first addend is   the same
                          number as the second addend,      whereas the expression m +     n  uses two different letters
                          indicating that numbers are not necessarily the same.





                      Exercise11.2





               1.   Which out the following are expressions with numbers only?
                    (a) x + 4                                        (b) 84 – 3y
                    (c) 8 × 14                                       (d) (8 12-  )5 7 2+ ´

                    (e) 5                                            (f) (8 × 19) – 7y
                    (g) (7 × 14) + (5 × 20) + 45 + q
               2.   Write the following in  the form of algebraic expressions:
                    (a) Ten less than x.
                    (b) Eleven added to twice y.

                    (c) The difference of x and y when x >    y.
                    (d) One-fourth of x added to the sum of y and z.

                    (e) The product of x and y added to the sum of x and y.
               3.   State in words the mean   ing of the following algebraic expressions:
                    (a) x + 7                                        (b) 2x – y

                    (c) 3ab                                          (d) x ¸   y
               4.   Translate into algebraic expression:
                    (a) Five times x, increased by three

                    (b) n times six, decreased by five.
               5.   Ashok is k  years old now.  How old will he be after 5 years from now?
               6.   Amit  is k  years old. How old was  he m  year ago?
               7.   Write two  algebraic expressions for ‘‘three times  x’’ using  two different operations.

               8.   A two-digit number has m     in the tens place and n  in the ones place. What is the number?



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