Selection of questions on substituting values into simple expressions

Substituting a values of $x$ and $z$ into $\frac{ax+bz}{c}$

Substituting a values of $x$ and $z$ into $a(x+z)$

Substituting a values of $x$ and $z$ into $ax+bz$

Substituting a value of $x$ into $ax+b$

Substituting a value of $x$ into $x^2$ or $x^3$.

Substituting a value of $x$ into $x/a$.

Substituting a value of $x$ into $ax$

Substituting a value of $x$ into $x+a$.

Convert numbers greater than 1 into standard form/scientific notation.

Convert numbers greater than 1 into standard form/scientific notation.

Convert numbers greater than 1 into standard form/scientific notation.

Convert numbers greater than 1 into standard form/scientific notation.

Convert a fraction into a decimal.

Convert a percentage to a fraction.

Convert a fraction into a decimal.

Convert a decimal to a fraction.

This question tests the student's ability to identify equivalent fractions through spotting a fraction which is not equivalent amongst a list of otherwise equivalent fractions. It also tests the students ability to convert mixed numbers into their equivalent improper fractions. It then does the reverse and tests their ability to convert an improper fraction into an equivalent mixed number. 

This question tests the student's ability to identify equivalent fractions through spotting a fraction which is not equivalent amongst a list of otherwise equivalent fractions. It also tests the students ability to convert mixed numbers into their equivalent improper fractions. It then does the reverse and tests their ability to convert an improper fraction into an equivalent mixed number. 

This question tests the student's ability to identify equivalent fractions through spotting a fraction which is not equivalent amongst a list of otherwise equivalent fractions. It also tests the students ability to convert mixed numbers into their equivalent improper fractions. It then does the reverse and tests their ability to convert an improper fraction into an equivalent mixed number. 

Ensures that the quadratic factorises into a rational answer and an integer

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. 

Solving equations involving algebraic fractions which simplify into quadratics

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

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. 

Homeworks 36, 37, 38 and 39 don't resume properly in Numbas LTI, so broken into individual problems.

Homework set.  Find centroids of shapes by dividing them into simple subshapes.

Harder inequalities that involve terms like $\frac{1}{x}$ where multiplication by the denominator requires you to split into cases for positive or negative, or you multiply by the square of the denominator.

Shows two different ways

Convert numbers greater than 1 into standard form/scientific notation.