IGCSE Mathematics Worksheet- Graphs – Equations & Inequalities

Answer the following

1. Solve this linear-quadratic system of equations graphically

1. y = x2- 6x + 3 

         y = -2x + 3 

2. y = x2- 6x + 3 

         2x - y = 13

2.Find the coordinates of the points, correct to 2 decimal places, where these graphs meet:

1. y = 2x2 , y=3x-2  

b. y=x2 + 2x-3,  y= 4/x

3. Solve the quadratic inequalities

1. x2 - 3x - 10 > 0
2. x2 + 2x - 15 < 0
3. x2 - 4x - 5 < 0 

4. Graph the quadratic inequality y < x2 - 3x - 10

5. a.) Graph the inequality y < x2 - 7x + 10 ?
    b.) Is the point (-4,-8) in the solution set?
    c.) Is the boundary line drawn solid or dashed? Explain.

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