586 results for "solve".
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Question in XE420
Solve for $x$: $\displaystyle \frac{s}{ax+b} = \frac{t}{cx+d}$
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Question in XE420
Solve for $x$: $\displaystyle ax+b = cx+d$
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Question in Algebra
Questions to test if the student knows the inverse of an even power (and how to solve equations that contain a single power that is even).
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Question in Algebra
Questions to test if the student knows the inverse of an odd power (and how to solve equations that contain a single power that is odd).
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Question in Engineering Statics
Solve for an angle which will result in equilibrium for a triangle subjected to three couples. A trial and error solution is recommended.
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Question in Ugur's workspace
Some quadratics are to be solved by factorising
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Ugur's copy of Ugur's copy of Using the Quadratic Formula to Solve Equations of the Form $ax^2 +bx+c=0$ Ready to useQuestion in Ugur's workspace
Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.
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Question in Julia Goedecke's contributions
Matrix multiplication. Has automatically generated "unresolved" matrix product to write in the solution, which is the interesting part of this implementation.
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Exam (8 questions) in Martin's workspace
A variety of trigonometric equations which can be solved using inverse operations.
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Question in Ugur's workspace
This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve.
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Question in .Algebra
Solve quadratic equations (non-simple case, two real, discrete integer roots) using the formula.
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Question in .Algebra
Solve quadratic equations (non-simple case, two real, discrete roots) using the formula. Some, random, non integer roots.
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Question in .Algebra
Questions asking for the factoring of simple case (a=1)
These first need to be changed to standard form.
Then use factors to solve.
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Question in .Algebra
Questions asking for the factoring of simple case (a=1)
Then using factors to find roots.
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Question in Ugur's workspace
Some quadratics are to be solved by factorising
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Ugur's copy of Using the Quadratic Formula to Solve Equations of the Form $ax^2 +bx+c=0$ Ready to useQuestion in Ugur's workspace
Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.
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Question in Intro Maths
solve trig equation that requires use of s^s+c^2=1. with worked solutions.
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Question in Intro Maths
solve trig equation involving sin2x=2sinxcosx in a given interval
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Question in Intro Maths
solve trig equation involving a translation in given internval. with worked solutions
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Question in Intro Maths
Solve trig equation in a given internval with stretch and worked solutions
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Question in Ugur's workspace
Solve for $x$: $\displaystyle ax ^ 2 + bx + c=0$.
Entering the correct roots in any order is marked as correct. However, entering one correct and the other incorrect gives feedback stating that both are incorrect.
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Question in Linear Algebra 1st year
In this demo question, you can see either 2 or 3 gaps depending on the variable \(m\), and the marking algorithm doesn't penalise for the empty third gap in cases when it is not shown.
Reason to use it: for vectors or matrices containing only numbers, one can easily use matrix entry to account for a random size of an answer. But this does not work for mathematical expressions. There we have to give each entry of the vector as a separate gap, which then becomes a problem when the size varies. This solves that problem. For this reason I've included two parts: one very simple one that just shows the phenomenon of variable number of gaps, and one which is more like why I needed it.
Note that to resolve the fact that when \(m=2\), the point for the third gap cannot be earned, I have made it so that the student only gets 0 or all points, when all shown gaps are correctly filled in.
Note the use of Ax[m-1] in the third gap "correct answer" of part b): if you use Ax[2], then it will throw an error when m=2, as then Ax won't have the correct size. So even though the marking algorithm will ignore it, the question would still not work.
Bonus demo if you look in the variables: A way to automatically generate the correct latex code for \(\var{latexAx}\), since it's a variable size. I would usually need that in the "Advice", i.e. solutions, rather than the question text.
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Question in Linear Algebra 1st year
In this demo question, you can see either 2 or 3 gaps depending on the variable \(m\), and the marking algorithm doesn't penalise for the empty third gap in cases when it is not shown.
Reason to use it: for vectors or matrices containing only numbers, one can easily use matrix entry to account for a random size of an answer. But this does not work for mathematical expressions. There we have to give each entry of the vector as a separate gap, which then becomes a problem when the size varies. This solves that problem. For this reason I've included two parts: one very simple one that just shows the phenomenon of variable number of gaps, and one which is more like why I needed it.
Note that to resolve the fact that when \(m=2\), the point for the third gap cannot be earned, I have made it so that the student only gets 0 or all points, when all shown gaps are correctly filled in.
Note the use of Ax[m-1] in the third gap "correct answer" of part b): if you use Ax[2], then it will throw an error when m=2, as then Ax won't have the correct size. So even though the marking algorithm will ignore it, the question would still not work.
Bonus demo if you look in the variables: A way to automatically generate the correct latex code for \(\var{latexAx}\), since it's a variable size. I would usually need that in the "Advice", i.e. solutions, rather than the question text.
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Question in Linear Algebra 1st year
Matrix multiplication. Contains a function that will let you print the calculation steps of matrix multiplication, e.g. in the Advice.
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Question in Linear Algebra 1st year
Solving a system of three linear equations in 3 unknowns using Gaussian Elimination (or Gauss-Jordan algorithm) in 5 stages. Solutions are all integers. Set up so that sometimes it has infinitely many solutions (one free variable), sometimes unique solution. Scaffolded so meant for formative. The variable d determines the cases (d=1: unique solution, d-0: infinitely many solutions). The other variables are set up so that no entries become zero for some randomisations but not others.
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Question in Linear Algebra 1st year
Use matrix multiplication to get an equation for \(k\) which is then to be solved.
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Question in Linear Algebra 1st year
Matrix multiplication. Has automatically generated "unresolved" matrix product to write in the solution.
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Question in Linear Algebra 1st year
Solving a system of three linear equations in 3 unknowns using Gaussian Elimination (or Gauss-Jordan algorithm) in 5 stages. Solutions are all integers. Introductory question where the numbers come out quite nice with not much dividing. Set-up is meant for formative assessment. Adapated from a question copied from Newcastle.
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Exam (3 questions) in Engineering Statics
Homework set. Rigid body equilibrium solved using the three-force body principle.
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Question in Kenny's workspace
No description given