Worksheet on Introduction to Graphs

Worksheet of Introduction to Graphs for Grade 8

Solved Questions on Introduction to Graphs

1. Which one of the following points has an abscissa that is twenty more than double the abscissa of point P and whose ordinate is ten less than one-third of the ordinate of point Q?

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a) B
b) D
c) E
d) F

Answer: d) F

Explanation: From the graph, point P is (40, 90) and point Q is (90, 165).

The abscissa of P is 40 and the ordinate of Q is 165.

The point whose abscissa is twenty more than double the abscissa of point P
= 2 × 40 + 20
= 80 + 20
= 100

The point whose ordinate is ten less than one-third of the ordinate of point Q
= ¹⁄₃ × 165 − 10
= 55 − 10
= 45

The point is (100, 45).

Hence, the point on the graph is F.

2. Which quadrant has a point whose ordinate is three more than four-fifths of the ordinate of point A and whose abscissa is twenty-four less than three times the abscissa of point B?

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a) First Quadrant
b) Second Quadrant
c) Third Quadrant
d) Fourth Quadrant

Answer: c) Third Quadrant

Explanation: From the graph, point A is (14, −15) and point B is (6, 21).
The ordinate of A is −15 and the abscissa of B is 6.
The point whose ordinate is three more than four-fifths of the ordinate of point A
= ⁴⁄₅ × (−15) + 3
= −12 + 3
= −9

The point whose abscissa is twenty-four less than three times the abscissa of point B = 3 × 6 − 24
= 18 − 24
= −6
The point is (−6, −9). Therefore, the point on the graph is U.
Hence, the point lies in the third quadrant.

Direction (3-4) The graph shows the consumption of milk per month by the baby at different ages. Study the graph carefully and answer the following questions:

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