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Simplifying indices.

Simplifying indices.

Simplifying indices.

$\frac{3}{4}$

Simplifying ratios

rebelmaths

Find $\displaystyle I=\int \frac{2 a x + b} {a x ^ 2 + b x + c}\;dx$ by substitution or otherwise.

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A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

Simplifying algebraic expressions

Express $\log_a(x^{c}y^{d})$ in terms of $\log_a(x)$ and $\log_a(y)$. Find $q(x)$ such that $\frac{f}{g}\log_a(x)+\log_a(rx+s)-\log_a(x^{1/t})=\log_a(q(x))$

Express $\log_a(x^{c}y^{d})$ in terms of $\log_a(x)$ and $\log_a(y)$. Find $q(x)$ such that $\frac{f}{g}\log_a(x)+\log_a(rx+s)-\log_a(x^{1/t})=\log_a(q(x))$

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

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Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Practice with fractions

Practice with fractions

Cancelling to reduce a fraction to its lowest terms.

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.

The word problem is about the costs of sweets in a sweet shop.

Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.

The word problem is about the costs of sweets in a sweet shop.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Simplify logarithmic expressions using rules on logarithms.