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Score to pass: 70%
1. End of Unit Test on Bivariate Data for S3 Students
2. End of Unit Test on Inverse and Composite Transformations in 2D for S3 Students
3. End of Unit Test on Enlargement and Similarity in 2D for S3 Students
4. End of Unit Test on Collinear Points and Orthogonal Vectors for S3 Students
5. End of Unit Test on Right Angled Triangles for S3 Students
6. End of Unit Test on Percentage Interest and Proportion for S3 Students
7. End of Unit Test on Linear and Quadratic Functions for S3 Students
8. End of Unit Test on Quadratic Equations for S3 Students
9. End of Unit Test on Algebraic Fractions for S3 Students
10. End of Unit Test on Number Bases for S3 Students
11. End of Unit Test on Problems on Sets for S3 Students
Simultaneous Linear Equations and Inequalities Unit Summary
1. To solve simultaneous equations graphically, we draw graphs of lines, representing the equations. If the equations have a unique solution, the lines will intersect at a point whose coordinates represent the solution set. If equations have no solutions, the lines will be parallel. If the equations have an infinite solutions set, the lines will be coincident. This means that any value of the variable you substitute will satisfy the equations.
2. When forming simultaneous equations from a given situation, we begin by defining the variables we intend to use, then relate the two variables using the given information and solve the equations as recommended.
3. Unlike in equations which have unique solutions, inequalities have a region for the solution set. The solutions may have closed or an open region.
4. Inequalities can be formed from given: (i) inequality graphs (ii) situations.
Forming inequalities from graph:
(i) Identify the boundary line.
(ii) Find the equation of the line.
(iii) Using a point not on the line substitute the coordinates of the chosen point in the equation in order to determine the required region. Remember that by convention, we shade the unwanted region in order to leave the wanted region clean.