Algebra 10
4 marks · NormalA table shows two separate algebraic fractions for different values of :
| x | f(x) | g(x) |
|---|---|---|
| 2 | 3/2 | 1 |
| 4 | 3/4 | 2 |
| 6 | 1/2 | 3 |
Complete the table below for the sum . Give your answers as simplified fractions.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
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Common mistakes: Not finding common denominator; Leaving answers unsimplified
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Marking points
M1 · 1 mark · Correctly finds the sum for at least one value with working.
A1 · 1 mark · Finds the correctly simplified answers for all three values.
M2 · 1 mark · Shows working with fractions.
A2 · 1 mark · All answers written as fully simplified fractions.
Worked solution
| x | h(x) |
|---|---|
| 2 | \frac{3}{2} + 1 = \frac{5}{2} |
| 4 | \frac{3}{4} + 2 = \frac{3}{4} + \frac{8}{4} = \frac{11}{4} |
| 6 | \frac{1}{2} + 3 = \frac{1}{2} + \frac{6}{2} = \frac{7}{2} |