Solve a simple linear equation algebraically. The unknown appears on both sides of the equation.

Find the remainder when dividing two polynomials, by algebraic long division.

Questions on rearranging expressions, expanding brackets and collecting like terms.

Instructions on inputting ratios of algebraic expressions.

Inputting ratios of algebraic expressions.

Entering numbers and algebraic symbols  in Numbas.

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

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.

Manipulation of algebraic fractions

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.

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Algebra word problems using area and perimeter.

rebelmaths

Calculating wages using algebraic equations

rebelmaths

Find $\displaystyle \int\frac{ax^3+ax+b}{1+x^2}\;dx$. Enter the constant of integration as $C$.

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Several quadratics are given and students are asked to complete the square.

Practice with adding, subtracting and dividing basic algebraic fractions

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Find $\displaystyle \int\frac{ax^3+ax+b}{1+x^2}\;dx$. Enter the constant of integration as $C$.

Inputting algebraic expressions into Numbas.

Inputting ratios of algebraic expressions.

Solve for $x$: $\displaystyle \frac{px+s}{ax+b} = \frac{qx+t}{cx+d}$ with $pc=qa$.

A few simple functions are provided of the form ax, x+b and cx+d. Values of the functions, inverses and compositions are asked for. Most are numerical but the last few questions are algebraic.

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

A detailed look at how algebraic fractions can be manipulated and simplified.