Manipulate fractions in order to add and subtract them. The difficulty escalates through the inclusion of a whole integer and a decimal, which both need to be converted into a fraction before the addition/subtraction can take place. 

MECE3930U: Heat Transfer Assignment -1

Please follow the Numbas guidance first if you did not attend the Numbas session.

Solving factorised quadratics with leading coefficient NOT 1

Solving equations involving algebraic fractions which simplify into quadratics

Solving quadratics which need simplifying first.

quadratic solving using difference of two squares

Factorising and solving a quadratic with a=1

intorductory question on multiplying algebraic fractions. Just multiplying nuerators and denominators required.

Simultaneous equations with at least one non-linear equation

Questions on combining and simplifying algebraic fractions

Several questions on dividing algrbraic fractions.

Simplifying first is essential in terms of managing expressions that might need factorising.

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Manipulate fractions in order to add and subtract them. The difficulty escalates through the inclusion of a whole integer and a decimal, which both need to be converted into a fraction before the addition/subtraction can take place. 

Dividing algebraic fractions question where the result does not require any cancellation

(ax+b)/(mx+n)+(cx+d)/(px+q)

Adding algebraic fractions with linear expressions in the numerators

simplifying pL1^a/n+kL2^bL1^c/m

Adding two algebraic fractions with the same variable in the numberators.

Solving a pair of simultaneous equations of the form $a_1x+b_1y=c_1$ and $a_2 x^2+b_2y^2=c_2$ by forming a quadratic equation.

Solving a pair of simultaneous equations of the form $a_1x+y=c_1$ and $a_2x^2+b_2xy=c_2$ by forming a quadratic equation.

Solving a pair of simultaneous equations of the form $a_1xy=c_1$ and $a_2x+b_2y=c_2$ by forming a quadratic equation.

Questions for practising algebraic methods for solving linear simultaneous equations

Solving a pair of linear simultaneous equations, giving answers as integers or fractions.

Solving a pair of linear simultaneous equations, giving answers as integers or fractions.

Solving a pair of linear simultaneous equations, giving answers as integers or fractions.

Solving a pair of linear simultaneous equations, giving answers as integers or fractions.

Draw Shear and Bending Moment Diagrams for a simply supported or overhanging beam loaded with one or two concentrated forces.

Students are supposed to use Excel (or similar) to find the answers (e.g., enter coordinates of two points then plot and add trendline).

Uses an embedded Geogebra graph of a line $y=mx+c$ with random coefficients set by NUMBAS.