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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 Simultaneous Equations and Inequalities 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
Algebraic Fractions Unit Summary
1. An algebraic fraction is defined or said to exist only if its denominator is not equal to zero. For example, a function such as \(\frac{3}{x}\) is valid for all values of \(x\) except when \(x = 0\). The value of a variable that makes the denominator of a fraction zero is called a restriction on the variable.
2. Two algebraic fractions are said to be equivalent if both can be reduced or simplified to the same simpleast fraction. For example, \(\frac{2}{4}\), \(\frac{5}{10}\) and \(\frac{20}{40}\), … are equivalent, and all are reducible to \(\frac{1}{2}\).
3. To add or subtract algebraic fractions, we must first express them with a common denominator, which represents the LCM of the denominators of the individual fractions.
4. To multiply algebraic fractions, we begin by identifying common factors in both numerators and denominators. The factors may not be obvious in such a case, factorise all the algebraic expressions involved if possible, then proceed to cancel and multiply.
5. Division by a fraction, algebraic or atherimise, means multiplying the divided by the receiprocal of the divisor. Remember the product of a fraction and its reciprocal equal to 1. For example, reciprocal of \(\frac{1}{2}\) is 2, that of a is \(\frac{1}{a}\), that of \(\frac{a}{b}\) is \(\frac{b}{a}\) and so on.
6. Algebraic equations involving fractions are also called rational equations. To solve rational equations, we begun by eliminating the denominations by multiplying all the terms by the LCM of the denominators. Then proceed to solve the resulting equation.