259 results for "terms".
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Question in HELM books
State the general form of the equation of a straight line explaining the role of each of the terms in your answer.
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Question in MfEP Progress Quizzes
Simultaneous equation problem as circuit analysis to find unknown currents. Students need to solve the equations and type in the solutions for each variable. Advice is given in terms of solution by elimination.
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Question in MfEP Progress Quizzes
Simultaneous equation problem as circuit analysis to find unknown voltages. Students need to solve the equations and type in the solutions for each variable. Advice is given in terms of solution by elimination.
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Question in MfEP Progress Quizzes
This question is an application of a quadratic equation. Student is given dimensions of a rectangular area, and an area of pavers that are available. They are asked to calculate the width of a border that can be paved around the given rectangle (assuming border is the same width on all 4 sides). The equation for the area of the border is given in terms of the unknown border width. Students need to recognise that only one solution of the quadratic gives a physically possible solution.
The dimensions of the rectangle, available area of tiles and type of space are randomised. Numeric variables are constructed so that resulting quadratic equation has one positive and one negative root.
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Question in Skills Audits for Maths and Stats
Simplifying first is essential in terms of managing expressions that might need factorising.
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Question in Skills Audits for Maths and Stats
Fiind the Highest Common Factor of two algebraic expressions involving a coefficient and powers of $x$ and $y$.
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Question in Skills Audits for Maths and Stats
Factorise an expression of 2 or 3 terms where the gcd is a letter times a number. Part of HELM Book 1.3.4
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Question in Skills Audits for Maths and Stats
Filling in the blanks from the answer to a simplified expression involving indices.
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Question in Skills Audits for Maths and Stats
Simple exercise in collecting terms in different powers of \(x\)
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Question in Skills Audits for Maths and Stats
Simple exercise in collecting terms in different powers of \(x\)
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Question in Skills Audits for Maths and Stats
Simple exercise in collecting terms in different powers of \(x\)
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Question in How-tos
A mathematical expression part with a pattern restriction to ensure that the student has extracted the highest common factor of two terms.
The answer must be of the form $a(b+cx)$, where $b$ and $c$ are coprime.
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Question in Questions for Open Resource Library
Given an equation with log terms added together, the student must solve for x. Hints are included in the question to aid the student as needed.
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Question in Questions for Open Resource Library
Given an equation with log terms added together, the student must solve for x. Hints are included in the question to aid the student as needed.
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Question in Demos
In the first part, the student must write an R function to compute the first $n$ terms of the series $\frac{1}{k!}$.
In the second part, they must use that function to calculate an approximation to $e$ using a given number of terms of the series.
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Question in Ugur's workspace
Find the first 3 terms in the MacLaurin series for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.
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Question in Ugur's workspace
Find the first 3 terms in the Taylor series at $x=c$ for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.
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Question in HELM books
Factorise an expression of 2 or 3 terms where the gcd is a letter times a number. Part of HELM Book 1.3.4
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Question in HELM books
Expand (a+b)(c+d). a,b,c,d are random terms that can be +ve or -ve, and can consist of a number and/or a letter.
The answer must contain no brackets but will be accepted if it is not simplified from there.
Part of HELM Book 1.3
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Question in HELM books
Factorise two algebraic terms that have a numerical gcd > 1. Part of HELM book 1.3
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Question in Foundation Maths
Find the first 3 terms in the MacLaurin series for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.
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Question in Foundation Maths
Implicit differentiation.
Given $x^2+y^2+ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.
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Question in MASH Bath: Question Bank
Simple exercise in collecting terms in different powers of \(x\)
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Question in HELM books
Collect like terms to simplify an algebraic expression. Part of HELM Book 1.3
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Question in HELM books
Collect like terms to simplify an algebraic expression. Part of HELM Book 1.3
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Question in HELM books
Given either (a) ax+bx+cy+dy, or (b) ax^2+bx+c, (c) ax^2+bx^2+cx^2, where a,b,c,d are randomised constants, and x and y are randomised letters, simplify by collecting like terms (if possible).
Part of HELM Book 1.3
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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
Collect like terms to simplify an algebraic expression. Part of HELM Book 1.3
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Question in Musa's workspace
Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.
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Question in Musa's workspace
Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.