600 results for "variable".
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Question in HELM books
Simplify ax/b +/- cx/d, where x is a randomised variable, and a,b,c,d are randomised integers.
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Question in Questions for Open Resource Library
Given an equation with variable x in the power on two different bases, students must solve for x. Hints are included in the question to aid the student as needed.
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Question in HELM books
Simplify (a) a fully-factorised fraction with common factors, and (b) a fraction where the numerator is a product and the denominator a sum sharing the same variables (that cannot be simplified). The variables are randomised. Part of HELM book 1.4
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Question in HELM books
Simplify an algebraic fraction that is fully factorised with common factors between the numerator and denominator, and one of the variables has a larger index on the denominator. Part of HELM Book 1.4
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Question in Demos
The student must write R code to assign the given value to the variable
x
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Question in Demos
Given an unknown list, the student must write Python code to create a copy of it.
There's an alternative to catch the case where the student's variable is just a reference to the original list.
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Question in Demos
This is the simplest demonstration of the "code" part type I could think of: write Python to assign
x = 1
.An alternative answer gives a hint if the student's code doesn't define x at all.
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Question in Odds and Ends
Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students calculate the cost of the halogen globes given electricity cost, number of globes, number of years, replacement cost and lifespan of globes. Some of these variables are randomly selected. There are more than 10 different versions of this question.
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Question in Odds and Ends
Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. Student must calculate distance swum in km given number of laps of 50m pool, days of week and weeks in term. These variables are randomly selected.
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Question in Algebra 1
This exercise will help you rearrange a linear equation to find the value of a given variable
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Question in Brendan's workspace
Solving first order differentials by separation of variables.
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Question in WM175 ASSESSMENT 1
Find the stationary point $(p,q)$ of the function: $f(x,y)=ax^2+bxy+cy^2+dx+gy$. Calculate $f(p,q)$.
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Exam (18 questions) in WM175 ASSESSMENT 1
Topics: Trigonometeric equations and complex numbers
Students must complete the exam within 90 mins (standard time).
Questions have variables to produce randomised questions. -
Question in Don's workspace
Dummy question to test random() function when first decimal place of upper limit of range is 4, and test of currency() function.
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Question in STAT7008
Given a random variable $X$ normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.
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Question in HELM books
Explain why one variable is a factor but the other is not. Factorise the expression, whose factor is alphanumeric. Part of HELM Book 1.3
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Question in Foundation Maths
Show one of several blocks of text depending on the value of a question variable.
As well as a simple check for the value of a variable, the condition to display a block of text can be a complex expression in any of the question variables - in this example, depending on the discriminant of the generated quadratic.
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Question in Chris's workspace
No description given
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Question in HELM books
Given an expression in one or two variables, with two or three terms, collect like terms, if possible. Part of HELM Book 1.3
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Question in HELM books
Compare ax-bx, and ax(bx) and simplify, where a and b are +ve or -ve integers, and x is a randomised variable. Part of HELM Book 1.3
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Question in HELM books
Write an expression (a^k1*a^k2)/a^k3 using a single positive index. Variable a is randomised and can be a number or a letter. k1,k2 and k3 are randomised positive numbers.
Part of HELM Book 1.2
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Question in HELM books
Given an expression (either a^-k or 1/a^-k) with a negative index, rewrite it with a positive index.
The variable a and the index k are randomised.
Part of HELM Book 1.2
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Question in HELM books
An order of operation question using +,-,* with signed integers, with up to 4 variables.
The questions are the exercises from Q3 of HELM Book 1.1.5
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Question in Nasir Firoz's workspace
This exercise will help you rearrange some complex equations.
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Question in HELM books
Simplify (a^k1*a^k2)/(a^k3*a^k4) where a is a randomised variable and k1,k2,k3 and k4 are randomised fractions (k2 and/or k4 may be 0). They may be written in index form or in surd form, or even a combination of the two.
Part of HELM Book 1.2
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Question in HELM books
Write an expression (a^k1*a^k2)/a^k3 using a single positive index. Variable a is randomised and can be a number or a letter. k1,k2 and k3 are randomised and can be positive or negative numbers.
Part of HELM Book 1.2
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Question in HELM books
Given an expression (either a^-k or 1/a^-k) with a negative index, rewrite it with a positive index.
The variable a and the index k are randomised.
Part of HELM Book 1.2
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Question in HELM books
Simplify n1.v^k1.(n2.v^k2), where n1, n2 are positive integers, v is a random letter variable, and k1 and k2 are nonzero integers.
The answer should be expressed as n.v^k
Part of HELM Book 1.2
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Question in HELM books
Remove the brackets from (na)^k, or from n(a)^kwhere n is a number and a is a variable.
Part of HELM Book 1.2
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Question in HELM books
Use the index laws to simplify 3 simple expressions;
n^a*n^b, n^a/n^b, (n^a)^b, where n is a randomised variable or number, and a and b are randomised nonzero integers.
Part of HELM Book 1.2