#### Term 2 Algebra Three Marks

8th Standard EM

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Maths

Time : 00:45:00 Hrs
Total Marks : 33
11 x 3 = 33
1. 7 is added to a given number to give 19.

2. The sum of 4 times a number and 18 is 28.

3. Solve the equation: x − 7 = 6

4. Solve the equation: 3x = 51

5. Solve 2x + 5 = 9

6. Solve $\frac { 4y }{ 3 } -7=\frac { 2 }{ 5 } y$

7. Draw the graph of y = 5 x

 x -3 -1 0 2 3 y -15 -5 0 10 15
8. Graph the equation y = x + 1.
Begin by choosing a couple of values for x and y. It will firstly help to see
(i) what happens to y when x is zero and
(ii) what happens to x when y is zero.
After this we can go on to find one or two more values.
Let us find at least two more ordered pairs. For easy graphing, let us avoid fractional answers. We shall make suitable guesses.

9. Relation between Quantity and Cost
The following table gives the quantity of milk and its cost.

 Quantity of milk 5 10 15 20 Cost of milk 150 300 450 600

Plot the graph.

10. Relation between Principal and Simple Interest:
A bank gives 10% simple interest on deposits made by Senior citizens. Illustrate by a graph the relation between the deposit and the interest gained. Use the graph to compute
(i) The annual interest obtainable for investment of Rs.450;
(ii) The amount a Senior citizen has to invest to get an annual simple interest of Rs.80.

11. Relation between Time and Distance:
A train runs constantly at a speed of 80km/hr. Draw a time – distance graph for this situation. Also find the
(i) time – taken to cover 240 km.
(ii) distance covered in 5 ½ hours.