steve kilgallon

sin vertically shifted Working 1_11_16

sin vertically shifted Working 1_11_16

sin vertically shifted Working 1_11_16

Shows how to define variables to stop degenerate examples.

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Ratio Questions

Given the original formula the student enters the transformed formula

Given the original formula the student enters the transformed formula

Given the original formula the student enters the transformed formula

Given the original formula the student enters the transformed formula

Given the original formula the student enters the transformed formula

Given th original formula the student enters the transformed formula

Given the original formula the student enters the transformed formula

Multiple solutions of sin(x) = ....   $-360 \leqslant x \leqslant 360$

Given th original formula the student enters the transformed formula

READY TO USE

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Rearranging equations to change the subject

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Simplifying algebraic expressions

Practice with fractions

Entering numbers and algebraic symbols  in Numbas.

Information on inputting powers

Entering numbers and algebraic symbols  in Numbas.

Details on inputting numbers into Numbas.

Dealing with functions in Numbas.

Inputting ratios of algebraic expressions.

Inputting algebraic expressions into Numbas.

Find $c$ and $d$ such that $x^2+ax+b = (x+c)^2+d$.

Solve for $x$ and $y$:  \[ \begin{eqnarray} a_1x+b_1y&=&c_1\\   a_2x+b_2y&=&c_2 \end{eqnarray} \]

The included video describes a more direct method of solving when, for example, one of the equations gives a variable directly in terms of the other variable.