What’s that, you’d love a manipulating and simplifying algebraic expressions quiz to kick-start your revision? Well, we don’t blame you!

Algebra is a huge part of GCSE Maths. On foundation papers, a whopping 20% of the mark is awarded for algebra and being able to manipulate and simplify algebraic expressions is an essential skill.

So, we know it’s important but how do we know where to start with revision? Our diagnostic tests can help you with just that. Use the questions below to find gaps in your knowledge. The quiz will tell you exactly what you need to cover in your revision from this list of topics:

– Collecting Like Terms
– Simplifying with Multiplication and Division
– Index Laws (Algebraic)
– Changing the Subject of a Formula
– Forming Expressions

Manipulating and Simplifying Algebraic Expressions Quiz (Diagnostic Test)

Ready to test your knowledge?

Simplify \[4 \times 3x\]

\[64x\]

\[43x\]

\[12x\]

\[7x\]

Hint

Fully simplify \[\frac{15ab}{3a}\]

\[12b\]

\[5b\]

\[5a\]

\[12a\]

Hint

Simplify \[2x+2y-x-5y\]

\[-2xy\]

\[x+3y\]

\[x-3y\]

\[3x+7y\]

Hint

Simplify \[5m^2+3m-2m^2+7m\]

\[13m^3\]

\[13m^6\]

\[3m^2+10m\]

\[3m^4+10m^2\]

Hint

Simplify \[m^5 \times m^3\]

\[m^8\]

\[m^{15}\]

\[2m^8\]

\[2m^{15}\]

Hint

Simplify \[(3p^4)^2\]

\[3p^8\]

\[6p^8\]

\[9p^6\]

\[9p^8\]

Hint

Fully simplify \[\frac{8a^3b^4}{4ab^2}\]

\[2a^2b^2\]

\[4a^2b^2\]

\[4ab^2\]

\[2ab^2\]

Hint

Which of the following is an expression for the perimeter of the rectangle?

\[5x+3\]

\[5x+5\]

\[10x+6\]

\[10x+10\]

Hint

Ana is \(x\) years old. Billy is twice as old as Ana and Carl is 4 years younger than Billy. Write a simplified expression, in terms of \(x\), for the total of their ages.

\[a + b +c\]

\[4x-4\]

\[5x-4\]

\[a + 2b + c- 4\]

Hint

Make \(x\) the subject of \(y=mx+c\)

\[x=\frac{y-c}{m}\]

\[x=\frac{y+c}{m}\]

\[x=m(y-c)\]

\[x=m(y+c)\]

Hint

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