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- 10 minutes in duration
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- A mixture of short answer and multiple-choice questions
- Instant feedback straight after the test

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

Find \(A \), if \(\dfrac{1}{{\left( {x + 2} \right)\left( {2x – 5} \right)}} \div \dfrac{{x – 9}}{{2x – 5}} = \dfrac{A}{{\left( {x + 2} \right)\left( {x – 9} \right)}}\).

\(A = \)

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

Find \(A\), \(B\) and \(C\) if \({\left( { – x + 5} \right)^2} = A{x^2} + Bx + C\).

\(A = \)

\(B = \)

\(C = \)

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

Make \(a\) the subject of \(A = 1 – \dfrac{{b – a}}{a}\).

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

Solve \(6x – 3 = 4x + 7\).

\(x = \)

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

Amy is 4 times as old as Ben. In 5 years’ time Amy will only be 3 times as old as Ben. Find their present ages.

Amy = , Ben =

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

Find \( x \), if \({\left( {{4^{ – 2}}} \right)^{ – 1}} = {2^x}\).

\( x = \)

CorrectIncorrect##### Hint

\({a^{ – 1}} = \dfrac{1}{a}\)

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

Expand and simplify \({\left( {{7^x} – {7^{ – x}}} \right)^2}\).

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 standard form of \(\dfrac{1}{x} + x = 3 – \dfrac{{2x}}{3}\) is \(a{x^2} + bx + c = 0\). Find \(a \), \(b \) and \(c \).

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

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

A sequence is defined by \({u_n} = – 2n + 680\). Find the largest term of the sequence that is smaller than \(250\).

CorrectIncorrect