Search - Numbas at mathcentre.ac.uk

25 results.

Collecting like terms
Ready to use
Question in Algebra by Ben Brawn

No description given
Algebraic fractions: simplifying/cancelling
Ready to use
Question in Algebra by Ben Brawn

No description given
Fractions: equivalent
Ready to use
Question in pre-algebra Numeracy and Arithmetic by Ben Brawn

No description given
Rationalising the denominator - surds
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Question in Transition to university by Lauren Richards and 2 others

Rationalise the denominator with increasingly difficult examples involving compound denominators.
AB5 Expand single brackets
Ready to use
Question in Skills Audits for Maths and Stats by Megan Oliver and 4 others

This question is made up of 10 exercises to practice the multiplication of brackets by a single term.
Merryn's copy of Fractions: equivalent
Ready to use
Question in MESH by Merryn Horrocks and 1 other

No description given
Create an algebraic expression from a word problem, simplify, and evaluate
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Question in Transition to university by Bradley Bush and 1 other

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.
Simplifying fractions
Has some problems
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find $\displaystyle \frac{a} {b + \frac{c}{d}}$ as a single fraction in the form $\displaystyle \frac{p}{q}$ for integers $p$ and $q$ .
Solving equations
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$ .

Make sure that your choice is a solution by substituting back into the equation.
Solving equations
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $\log_{a}(x+b)- \log_{a}(x+c)=d$
Simplifying fractions
Draft
Question in Bill's workspace by Bill Foster

Find $\displaystyle \frac{a} {b + \frac{c}{d}}$ as a single fraction in the form $\displaystyle \frac{p}{q}$ for integers $p$ and $q$ .
Simplify logarithms 1: (Video)
Draft
Question in Bill's workspace by Bill Foster

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

There is a video included explaining the rules of logarithms by going through simplification of logs of numbers rather than algebraic expressions.
Logarithms: Solving equations 2
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$ .

Make sure that your choice is a solution by substituting back into the equation.
Logarithms: Solving equations 1
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $\log_{a}(x+b)- \log_{a}(x+c)=d$
Dividing polynomials 2
Draft
Question in Bill's workspace by Bill Foster

Algebraic manipulation/simplification.

Simplify $\displaystyle \frac{ax^4+bx^2+c}{a_1x^4+b_1x^2+c_1}$ by cancelling a a common degree 2 factor.
Simplify Algebraic Expressions: 2 unknowns
Draft
Question in Bill's workspace by Bill Foster

Simplify $(ax+by)(cx+dy)-(ax+dy)(cx+by)$ . Answer is a multiple of $xy$ .
Simplify Algebraic Expressions
Draft
Question in Bill's workspace by Bill Foster

Simplify $(ax+b)(cx+d)-(ax+d)(cx+b)$ . Answer is a multiple of $x$ .
Expansion of brackets
Ready to use
Question in Transition to university by Bradley Bush and 2 others

This question is made up of 10 exercises to practice the multiplication of brackets by a single term.
Solve an equation in logarithms
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Solve for $x$ : $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$ .

Make sure that your choice is a solution by substituting back into the equation.
Simplify logarithms
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Express $\log_a(x^{c}y^{d})$ in terms of $\log_a(x)$ and $\log_a(y)$ . Find $q(x)$ such that $\frac{f}{g}\log_a(x)+\log_a(rx+s)-\log_a(x^{1/t})=\log_a(q(x))$
Simplifying fractions
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find $\displaystyle \frac{a} {b + \frac{c}{d}}$ as a single fraction in the form $\displaystyle \frac{p}{q}$ for integers $p$ and $q$ .
Surds simplification
Ready to use
Question in Transition to university by Lauren Richards and 1 other

This question tests the student's understanding of what is and is not a surd, and on their simplification of surds.
Expand brackets and collect like terms
Ready to use
Question in Transition to university by Bradley Bush and 2 others

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.
Logarithms: Solving equations 1
Ready to use
Question in Julie's workspace by Julie Crowley

Solve for $x$ : $\log_{a}(x+b)- \log_{a}(x+c)=d$
Logarithms: Solving equations 2
Ready to use
Question in Julie's workspace by Julie Crowley

Solve for $x$ : $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$ .

Make sure that your choice is a solution by substituting back into the equation.

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