PENANG FREE SCHOOL MATHEMATICS ELECTIVES- ADDITIONAL MATHEMATICS DAVID CHNG YEANG SOON.Try the following Questions. The answers are provided at the end of the questions.

Topic 2 Easy.

Name: ……………………………………….. Class:…………………..

1. 

(a) Determine the y-intercept and the gradient of the line of best fit.

(b) Write an equation for the line you have drawn. 

[3 marks] 

2. 

The diagram shows a line of best fit by plotting y against x.

Find the value of x when y = 2.1 and y = 4.7. 

[2 marks] 

3. 

Reduce y = 10x3 + 10x2 to the linear form of Y = mX + c. State the quantities to be plotted on the Y-axis and X-axis and hence, identify the quantities of m and c.

[3 marks] 

4. 

(a) Find the equation of the line of best fit.

(b) Determine the value of y when x = 2.9 and the value of x when y = 12.4. 

[2 marks] 

5. 

The diagram shows a line of best fit by plotting y against x.

Find the value of y when x = 0.9 and x = 2.2. 

[2 marks] 

6. 

Reduce y2 = -x - 8 to the linear form of Y = mX + c. State the quantities to be plotted on the Y-axis and X-axis and hence, identify the quantities of m and c.

  [4 marks] 

7. 

The diagram shows a line of best fit by plotting y against x.

Find the value of x when y = 4.2 and y = 12.5. 

[2 marks] 

8. 

(a) Find the equation of the line of best fit.

(b) Determine the value of y when x = 2.9 and the value of x when y = 10.1. 

[2 marks] 

9. 

Reduce y = 17x3 + 16x2 to the linear form of Y = mX + c. State the quantities to be plotted on the Y-axis and X-axis and hence, identify the quantities of m and c.

[3 marks] 

10. 

(a) Determine the y-intercept and the gradient of the line of best fit.

(b) Write an equation for the line you have drawn. 

[3 marks] 

11. 

The diagram shows a line of best fit by plotting y against x.

Find the value of y when x = 1.1 and x = 2.3. 

[2 marks] 

12. 

Reduce y2 = 8x - 10 to the linear form of Y = mX + c. State the quantities to be plotted on the Y-axis and X-axis and hence, identify the quantities of m and c.

  [4 marks] 

Answers:  1.  (a) y-intercept, c = 6, gradient, m = 1       (b) y = x + 6  2.  When y = 2.1, x = 0.6;       When y = 4.7, x = 2.4  3.  y/x2 = 10x + 10;        Y = y/x2,        X = x;        m = 10,        c = 10  4.  (a) y = 16/5x + 6/5           (b) When x = 2.9, y = 10.5;       When y = 12.4, x = 3.5  5.  When x = 0.9, y = 9.;       When x = 2.2, y = 12.

  6.  y2 = -x - 8;        Y = y2,        X = x;        m = -1,        c = -8  7.  When y = 4.2, x = 0.4;       When y = 12.5, x = 2.9  8.  (a) y = 12/5x + 6/5           (b) When x = 2.9, y = 8.2;       When y = 10.1, x = 3.7  9.  y/x2 = 17x + 16;        Y = y/x2,        X = x;        m = 17,        c = 1610.  (a) y-intercept, c = 5, gradient, m = 1       (b) y = x + 511.  When x = 1.1, y = 13.;       When x = 2.3, y = 16.612.  y2 = 8x - 10;       Y = y2,        X = x;        m = 8,        c = -10