Topic
Q:
Solve for \( x \) and \( y \) simultaneously:
\( y=2+5 x \) and \( 2 x y-7=-x^{2} \)
Q:
3.3 \( \begin{array}{l}\text { The general term of a quadratic number pattern is } T_{n}=n^{2}+2 n-15 \text {. } \\ \text { Determine which term has a value of } 20 .\end{array} \)
Q:
A television production company charges a basic fee of \( \$ 7,000 \) and then \( \$ 4,000 \) an hour when filming a commercial.
(a) Write a linear equation that describes the relationship between the total production costs \( c \) and the hours \( h \) of filming.
(b) Use your answer to part (a) to find the production costs if a commercial required 9 hours of filming.
Q:
Complete the square of the given quadratic
expression. Then, graph the function using the technique
of shifting.
\( f(x)=x^{2}-6 x \)
Complete the square by entering the correct numbers into
the expression below.
\( f(x)=(x+\square)^{2}+\square \)
Q:
Add the polynomials: (x^4 + 3x^3 - x) + (2x^4 - 5x^3 + 4).
Q:
Find the slope and the \( y \)-intercept of the graph of the equation.
\[ 8 x+9 y=36 \]
slope
\( y \)-intercept \( \quad(x, y)=(\square) \)
Q:
Risolvi le seques
\( \frac{-x^{2}+7 x-12}{2 x^{2}-7 x+3} \geqslant 0 \)
Q:
प्रश्नाबानी 2.2
निम्न द्विघात बहुपदों के शून्यक ज्ञात कीजिए और शून्यकों तथा गुणांकों के बीच के संबंध की
सत्यता की जाँच कीजिए :
\( \begin{array}{lll}\text { (iv) } x^{2}-2 x-8 & \text { (ii) } 4 s^{2}-4 s+1 & \text { (iii) } 6 x^{2}-3-7 x \\ \text { (iv) } 4 u^{2}+8 u & \text { (v) } s^{2}-15 & \text { (vi) } 3 x^{2}-x-4\end{array} \)
Q:
18. \( \begin{aligned} y & =x-5 \\ y & =-2 x-5\end{aligned} \)
Q:
\( \begin{array}{ll} & \text { Solve for } x: \\ 2.1 & (x-5)(x+3)=0 \\ 2.2 & 2^{x-1}=10-2^{x+1} \\ 2.3 & 5^{3 x-6}=125 \\ 2.4 & \frac{x^{2}-3}{2}=x\end{array} \)
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