490 results for "linear".

Question in Standard Maths
Studnents are asked to write down equations for cost and income for a business.
They are then asked to graph the two lines.

Question in 1202
A graph is drawn. A student is to identify the derivative of this graph from four other graphs.

Question in Standard Maths
Students are given equations for a line, a parabola, a hyperbola and an exponential, and their respective graphs and are asked to match them.

Question in Standard Maths
Students are shown an exponential curve and asked to identify it as either linear, parabolic, hyperbolic or exponential.

Question in Bill's workspace
Dividing a cubic polynomial by a linear polynomial. Find quotient and remainder.

Question in Bill's workspace
Express a sum of linear terms in $x$ and $y$ as a single linear term in $x$ and $y$.

Question in Bill's workspace
Expand $ax(cx+d)$ and expand $(rx+s)(px)$

Question in Bill's workspace
Expand $(ax+b)(cx+d)$.

Question in Bill's workspace
Expand $(pw+q)(aw^2+bw+c)$.

Question in Bill's workspace
Expand $(az^2+bz+c)(pz+q)$.

Question in Bill's workspace
The data is fitted by linear and quadratic regression. First, find a linear regression equation for the $n$ data points, $20 \le n \le 35$.
They then are shown that the quadratic regression is often a better fit as measured by SSE. Also users can experiment with fitting polynomials of higher degree.

Question in Bill's workspace
Factorise $\displaystyle{ax ^ 2 + bx + c}$ into linear factors.

Question in Linear Algebra 1st year
Abstract linear combinations. "Surreptitious" preview of bases and spanning sets, but not explicitely mentioned. There is no randomisation because it is just an abstract question. For counterexamples, any valid counterexample is accepted.

Question in Linear Algebra 1st year
This allows the student to input a linear system in augmented matrix form (max rows 5, but any number of variables). Then the student can decide to swap some rows, or multiply some rows, or add multiples of one row to other rows. The student only has to input what operation should be performed, and this is automatically applied to the system. This question has no marks and no feedback as it's just meant as a "calculator".

Question in 1202
A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four version of this question: I: cubic, II: linear, III: quadratic, IV: sinusoisal.

Question in Linear Algebra 1st year
Solving a system of three linear equations in 3 unknowns using Gaussian Elimination (or GaussJordan 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, d0: infinitely many solutions). The other variables are set up so that no entries become zero for some randomisations but not others.

Question in Ruth's workspace
Solve for $x$: $\displaystyle ax+b = cx+d$

Question in Ruth's workspace
No description given

Question in Ruth's workspace
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Question in Ruth's workspace
No description given

Question in Linear Algebra 1st year
Solving a system of three linear equations in 3 unknowns using Gaussian Elimination (or GaussJordan algorithm) in 5 stages. Solutions are all integers. Introductory question where the numbers come out quite nice with not much dividing. Setup is meant for formative assessment. Adapated from a question copied from Newcastle.

Question in Johnathan's workspaceRearrange to give for y = mx + c, find gradient and realise that a parallel line has the same gradient (find x_intercept)

Question in Johnathan's workspaceFinding x and y intercapts and intersections of two graphs, one linear one exponential.

Question in Shihan's workspace
No description given

Question in Lovkush's workspace
No description given

Question in Content created by Newcastle University
Given a generator matrix for a linear code, write a parity check matrix, compute the syndrome of a word, and decide if it's a codeword.

Question in Demos
Customised for the Numbas demo exam
Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.
Video in Show steps.

Question in GlobalGuruFor using as a practice in solving system of linear equations in two variables.

Exam (4 questions) in Irene's workspaceQuesta è una verifica creata per testare la conoscenza del piano cartesiano e dei sistemi lineari.

Question in Marie's linear algebra workspace
Linear combinations of $2$ dimensional vectors.