621 results for "linear".
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Exam (20 questions) in Evi's workspace
A portfolio of NUMBAS questions created for first year Natural Sciences students. The questions cover the topics:
- Linear functions
- Quadratic functions
- Differentiation
- Integration
- Explonatial and logarithms
- Further differentiation
- Further Integration
- Trigonometric Functions
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Question in HELM books
Describe the effect of changing the value of a constant term in a linear function. Part of HELM Book 2.5.1.
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Question in HELM books
Given a linear or a quadratic function and asked whether it is continuous. Part of HELM Book 2.4.
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Question in HELM books
Compute the inverse of a linear or hyperbolic function. Part of HELM book 2.3.
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Question in HELM books
Find the inverse of a linear function. Part of HELM book 2.3.
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Question in HELM books
Graph a linear or quadratic function and state its domain and range. Part of HELM Book 2.2.1.
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Question in HELM books
Given 2 randomised functions f(x) (linear) and g(x) (quadratic), find one of f(f), f(g), g(f) or g(g) at a randomised integer x-value
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Question in HELM books
Given 2 randomised functions f (linear) and g (quadratic), find one of f(f), f(g), g(f) or g(g)
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Question in MASH Bath: Question Bank
Reading gradient and intercept from y=mx+c.
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Question in MASH Bath: Question Bank
Solve linear equations with unknowns on one. Including brackets and fractions.
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Question in MASH Bath: Question Bank
Solve linear equations with unknowns on one. Including brackets and fractions. Solutions may require rounding.
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Question in MfEP Progress Quizzes
Students are asked to solve two simulatineous linear equations in an application of mixing two liquids to arrive at a given final volume and concentration. Students are expected to write up working for their solution and upload it seperately. Final volume, final concentration and concentrations of each solution are randomised.
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Question in Skills Audits for Maths and Stats
Finding composite functions of 2 linear functions.
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Question in Skills Audits for Maths and Stats
Evaluating a linear function for a given value of $x$.
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Question in Skills Audits for Maths and Stats
Solve linear equations with unkowns on both sides. Including brackets and fractions.
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Question in Skills Audits for Maths and Stats
Solving a pair of simultaneous equations of the form $a_1x+y=c_1$ and $a_2x^2+b_2xy=c_2$ by forming a quadratic equation.
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Question in Skills Audits for Maths and Stats
Solving a pair of linear simultaneous equations, giving answers as integers or fractions.
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Question in Skills Audits for Maths and Stats
Solve linear equations with unkowns on both sides. Including brackets and fractions.
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Question in Skills Audits for Maths and Stats
Solve linear equations with unkowns on both sides. Including brackets and fractions.
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Question in Skills Audits for Maths and Stats
Expanding two linear brackets multiplied together.
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Question in Toby's workspace
Plot the Fourier series coefficients for a piece-wise linear function. Write a Python script to reproduce the same figure.
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Question in How-tos
In the first part, the student must write any linear equation in three unknowns. Each distinct variable can occur more than once, and on either side of the equals sign. It doesn't check that the equation has a unique solution.
In the second part, they must write three equations in two unknowns. It doesn't check that they're independent or that the system has a solution. The marking algorithm on each of the gaps just checks that they're valid linear equations, and the marking algorithm for the whole gap-fill checks the number of unknowns.
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Question in How-tos
This question shows how to generate a random set of $(x,y)$ samples, where $y = mx + c + \mathrm{noise}$.
The JSXGraph extension is used to show a scatter plot of the data. This isn't necessary if you just want to generate the data.
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Question in HELM books
Evaluate a linear function at 3 numerical inputs.
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Question in HELM books
Evaluate a given, randomised, linear function at a given, randomised, value.
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Question in HELM books
Rearrange a linear formula au + bv + cw = d to make one of u,v,w the subject.
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Question in HELM books
Rearrange a linear function in x and y to make y the subject. Line variables are randomised.
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Question in HELM books
evaluate the function y=ax+b for given values of a,b and x, each of which may be positive or negative.
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Question in Alice's workspace
Drag points on an axis to plot a linear graph (integer gradient and intercept only)
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Question in Algebra
No description given