Simplifying algebraic expressions

No description given

Used in a LANTITE workshop.

Filling in the blanks from the answer to a simplified expression involving indices.

Find the remainder when dividing two polynomials, by algebraic long division.

No description given

Manipulation of algebraic fractions

Express $\displaystyle ax+b+  \frac{dx+p}{x + q}$ as an algebraic single fraction. 

Collecting like terms, expanding a bracket (distributive law), substitution of values, finding factors, simplifying algebraic fractions.

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

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. 

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Simplify the sum of two algebraic fractions where spotting factorising of both numerators and denominators can reduce the work massively.

Simplify (qx+a)/(rx+b) +/- (sx+c)/(tx+d)

x is a randomised variable. a,b,c,d,q,r,s,t are randomised integers. a,b,c,d run from -5 to 5, including 0. q,r,s,t run from -3 to 3, and can be 0 if the constant term is nonzero, but are mostly 1.

Substitute values into an algebraic expression and calculate the result.

Fiind the Highest Common Factor of two algebraic expressions involving a coefficient and powers of $x$ and $y$.

Simplifying algebraic expressions

Simple substitution into an algebraic expression. Includes powers, division, mulitplication, brackets.  Includes subscripts.

Add (a/b).x +/- (c/d) where a,b,c,d are randomised positive integers, and x is a randomised letter.

Multiply two algebraic fractions (unfortunately their appearance doesn't really change) and cancel. 

Fractions don't have a common denominator. Need to find one. Addition and subtraction 50:50 split.

Fractions already have a common denominator. Addition and subtraction 50:50 split. Students shouldn't have to worry about reducing fractions by design.

A whole number divided by a very simple algebraic fraction. No cancelling is required by design.

A very simple algebraic fraction multiplied by a whole number. No cancelling is required by design. 

A simple algebraic fraction dividing by another. Cancelling is recommended.

No description given

No description given

No description given

No description given

No description given