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

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

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

Solve \({x^2} – 1 = 0\).

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

Use the quadratic formula find \(A\), \(B\) and \(C\) if the solutions of \({\left( {x – 2} \right)^2} = 1 + x\) 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 4 of 10
##### 4. Question

Find \(x\), if \(x + 1,x + 2\) and \(x + 3\) are forming right-angled triangle.

\(x\) =

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

Solve the following simultaneous equations by elimination.

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

{4x – 3y = 6}\\

{3x + 2y = 13}

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

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

Solve the following simultaneous equations by substitution.

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

{2x + 7y = 17}\\

{4x = 1 – 3y}

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

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

Two apples and three peaches cost \($1.35\), while four apples and nine peaches cost \($3.75\). Find the cost of each.

apple = cents, peach = cents

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

Find \( k\) values in order to have no solutions.

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

{kx + 2y = 16}\\

{y = – 4x + 8}

\end{array}} \right.\)CorrectIncorrect - Question 9 of 10
##### 9. Question

The gradient of a line is \(-1\) and the line passes through the points $\left( {4,2} \right)$ and $\left( {a, – 3} \right)$.

Find the value of \(a \).\(a = \)

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

The perpendicular bisector of \(\left( {2,4} \right)\) and \(\left( {8,4} \right)\) is \(x + Ay + B = 0\).

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

CorrectIncorrect