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- Question 1 of 10
##### 1. Question

Solve the following simultaneous equations by elimination.

\(\left\{ {\begin{array}{*{20}{c}}

{2x + 3y = 5}\\

{3x – 2y = 27}

\end{array}} \right.\)\(x = \) , \(y = \)

CorrectIncorrect - Question 2 of 10
##### 2. Question

One Red Apple and 4 Golden apple cost \($1.65\), whereas 2 Red Apples and 3 Golden Apples cost \($1.55\). How much does each type of Apple cost?

golden apple = cents, red apple = cents

CorrectIncorrect - Question 3 of 10
##### 3. Question

Find the equation of the graph in red, where the graph of $y=2^x$ is given in blue.

CorrectIncorrect##### Hint

$y=a^x$ is shifted to the right by $b$ units, $y=a^{x-b}$.

$y=a^x$ is shifted to the left by $b$ units, $y=a^{x+b}$.

$y=a^x$ is shifted up by $c$ units, $y=a^x + c$.

$y=a^x$ is shifted down by $c$ units, $y=a^x – c$. - Question 4 of 10
##### 4. Question

Find the coordinates of the vertex of $y=-x^2+6x+1$.

( , )

CorrectIncorrect - Question 5 of 10
##### 5. Question

Find the expression of the parabola.

CorrectIncorrect - Question 6 of 10
##### 6. Question

Find the \(x \)-intercepts of \(y = {x^2} – 3x – 1\).

CorrectIncorrect##### Hint

\(x \)-intercept is where \(y = 0\).

- Question 7 of 10
##### 7. Question

The axis of symmetry of \(y = a{x^2} + 4x – 1\) is \(x = – 2\). Find \(a \).

\(a = \)

CorrectIncorrect##### Hint

\(x = – \dfrac{b}{{2a}}\)

- Question 8 of 10
##### 8. Question

Find \(a \), if the vertex of \(y = {2ax^2} – 8x + a\) is \(\left( {4, 1} \right)\).

\(a = \)

CorrectIncorrect##### Hint

\(x = – \dfrac{b}{{2a}}\)

- Question 9 of 10
##### 9. Question

Find the vertical asymptote(s) of \(f\left( x \right) = \dfrac{1}{{{x^2} + 4x + 3}}\).

CorrectIncorrect - Question 10 of 10
##### 10. Question

Find the maximum or minimum value of \(y = 2\left( {x – 1} \right)\left( {x – 2} \right)\), and the corresponding value of \(x\).

CorrectIncorrect##### Hint

\(y = a{x^2} + bx + c\)

\(a > 0\) concave up, thus minimum

\(a < 0\) concave down, thus maximum