Page 195 - Mathematics Coursebook
P. 195

22 Mrs Sanchez gave her class an algebra test.
                 These are the students’ scores, marked out of 20.
                     16    17    9     19    12    3     12    1     20    7     10    11    18    2
                     8     12    3     16    6     7     19    15    15    18    9     12    8     17
                  a  Copy and complete the grouped frequency table.

                          Score                   Tally                   Frequency

                           1–5
                          6–10
                          11–15
                          16–20

                  b  How many students are there in Mrs Sanchez’s class?
                  c  How many students had a score less than 11?
                    Explain how you worked out your answer.
               23 Which of these expressions is the odd one out?
                 Explain your answer.

                      3(6x + 4)          6(2 + 3x)          2(6 + 9x)          9(2x + 2)



               24 Look at the coordinate graph.
                              y
                              5
                              4
                     D        3      A
                              2
                              1
                                            x
                    –5  –4  –3  –2 –1  1  2 3  4  5
                             –1
                             –2
                     C       –3      B
                             –4
                             –5


                  a  What are the coordinates of D?
                  b  What is the equation of the straight line through B and C?
                  c  What are the coordinates of the centre of the square ABCD?

               25 a  Copy and complete this table of values for y = x – 3.
                          x       −3    −1     1     3     5
                       y = x − 3              −2
                  b  Draw a graph of the line y = x − 3.










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