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

Solve the following simultaneous equations by elimination.

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

{2x – 3y = 12}\\

{5x + 2y = 11}

\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

The standard form of \(2\left( {{x^2} – 6x + 2} \right) = 3\left( {2{x^2} – 2x + 4} \right)\) is \(a{x^2} + bx + c = 0\). Find \(a \), \(b \) and \(c \).

\(a \) , \(b \) , \(c \)

CorrectIncorrect - Question 4 of 10
##### 4. Question

Solve \(\left( {1 – 2x} \right)\left( {3x + 2} \right) = 0\).

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

Solve \({\left( {x – 2} \right)^2} = 16\).

smaller solution = , larger solution =

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

If \({x^2} – 2x \equiv ax\left( {x + 1} \right) + b\left( {x + 1} \right) + c\), find \(a \), \(b \) and \(c \).

\(a \) , \(b \) , \(c \)

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

Solve \({x^2} – x – 6 = 0\).

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

The solutions of \({x^2} – 7x + 3 = 0\) are \(\dfrac{{A \pm \sqrt B }}{C}\). Find \(A\), \(B\) and \(C\).

\(A = \) , \(B = \) , \(C = \)

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

Use the quadratic formula find \(A\), \(B\) and \(C\) if the solutions of \(2{x^2} – 4x + 1 = 0\) are \(\dfrac{{A \pm \sqrt B }}{C}\) in its simplest form.

\(A = \) , \(B = \) , \(C = \)

CorrectIncorrect##### Hint

\(\begin{align} \displaystyle

a{x^2} + bx + c &= 0\\

x &= \dfrac{{ – b \pm \sqrt {{b^2} – 4ac} }}{{2a}}

\end{align}\) - Question 10 of 10
##### 10. Question

The total profit, \(p\), for a new product, measured in thousands of dollars, is determined by its selling price, \(s\), in dollars according to the formula \(p = – {\left( {s – 5} \right)^2} + 49\). Find the selling price of the product which gives a profit of \($13 000\).

selling price =

CorrectIncorrect