Topic
Q:
Find the sum of these polynomials: \( (x^{4} + x^{3} - 3x + 2) + (2x^{4} - 4x^{3} + 5) \)
Q:
QUESTION TWO
Express each of the following as a single, simplified fraction.
2.1. \( \frac{4}{9}-\frac{2}{3}+\frac{7}{12} \)
2.2. \( \frac{-8}{13} \times \frac{5}{24} \div-\frac{25}{13} \)
2.3. \( \left(\frac{3}{7}+\frac{1}{4}\right) \times\left(2-\frac{69}{38}\right) \)
Q:
QUESTION 3
3.1 \( \begin{array}{l}\text { Given the number pattern } 2 ; y ; 8 ; \ldots \\ \text { Determine the value of } y \text { if: } \\ \text { 3.1.1 The number pattern is linear. } \\ \text { 3.1.2 The number pattern is quadratic and } T_{4}=2+5 y .\end{array} \)
Q:
The postal service of a country charges \( \$ 0.36 \) postage for a letter weighing up to 1 ounce, plus \( \$ 0.26 \) for each
additional ounce up to 5 ounces. Letters weighing more than 5 ounces do not qualify for these rates.
\( C(x)=\left\{\begin{array}{ll}\$ \square & \text { if } 0<x \leq 1 \\ \text { (a) Write a piecewise-defined function } C \text { for the postage charged for a letter weighing } x \text { ounces. } \\ \$ \square & \text { if } 3<x \leq 4 \\ \$ \square & \text { if } 4<x \leq 5\end{array}\right. \)
Q:
What is \( -\frac{3}{4} x-\frac{1}{3}+\frac{7}{8} x-\frac{1}{2} \) written in simplest form?
Q:
What is \( 5 c-3 d-12 c+d-6 \) written in simplest form?
Q:
(f) \( \frac{1}{6} \times \frac{3}{8}-\frac{1}{10} \)
Q:
What is \( 8 z+x-5-9 z+2 \) written in simplest form?
Q:
What is \( -y+9 z-16 y-25 z+4 \) written in simplest form?
Q:
6 A plane flies on a true bearing of \( 280^{\circ} \mathrm{T} \) at \( 600 \mathrm{~km} / \mathrm{h} \)
after taking off at 1300 hours. To the nearest
kilometre, how far north of its starting position
is it at 1530 hours?
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