+   –   • 
Algebra

Algebra is a powerful mathematical tool. It allows us to work with numbers whose values we don't know, and it is essential for problem solving.

Try the following questions to refresh your memory and check your skills. If you have any difficulty follow the underlined links for further information.

Use the menu bar at the bottom of the page to return or to contact the Maths Learning Service.
Full Answers

Self-Test

Questions
1. Substitute $a=1$ and $b=2$ into the expression $2a+10ab+3$ .

2. Substitute $a=-10$ and $b=2$ into the expression $\displaystyle \frac{a^2}{500}+\frac{5b}{12}$.

  See  Pronumerals
See  Arithmetic: Fractions
3. What are the numbers 10 and 3 called in question 1?
4. Simplify $2mn+3-m+2n+5m-2+mn$.

See  Expressions
5. Expand and simplify $d(f+1)-5(d-1)$
6. Expand $(m-1)(n+3)$.
7. Factorise $12gh^2-18h$.

See  Multiplication
See  Factorisation
8. Simplify $\displaystyle \frac{12qr}{15qp}$.

See  Division
See  Arithmetic: Fractions