Algebraic notation | Maths | Quizalize & Oak National Academy

Starter quiz

Which of the following is the same as $9+9+9+9$ ?
- $4^9$
- $9^4$
- $4\times9$ ✓
- $4+9$
Select any calculations which are the same as $3\times4\times5$
- $(3\times5)\times4$ ✓
- $7\times 5$
- $(3\times4)+(3\times5)$
- $(5\times4)\times3$ ✓
- $3+20$
Which of these is the same as writing $7\times7\times7$ ?
- $7+7+7$
- $3\times7$
- $7^3$ ✓
- $3^7$
In algebra, letters are used to represent unknowns or ______
- 'variables' ✓
Select the statement that can be represented by the equation $a+6-2+a=18$
- I think of a number, add 6 then subtract 2 and the answer is 18
- I think of a number, add 2 and subtract 6 to get 18
- I think of a number, subtract 2 and add 6 then add my original number to get 18 ✓
- I think of a number, square it, add 6 then subtract 2 to get 18
- I add 6 to my number, add 2 to my number and the difference is 18
Match the directed number calculations with the correct answers.
- $12+-5$
  
  ⇔
  
  7 ✓
- $-12+-5$
  
  ⇔
  
  -17 ✓
- $-12+5$
  
  ⇔
  
  -7 ✓
- $12--5$
  
  ⇔
  
  17 ✓

In the equation $3t-8=10+t$ , $10+t$ is called __________.
- an equation
- an expression ✓
- a term
- a variable
In the equation $3t-8=10+t$ , $3t$ is called a ______
- 'term' ✓
True or false: the terms $cd$ and $dc$ are the same.
- True- variables can be multiplied in any order ✓
- False- $dc$ is not a term as variables have to be written alphabetically
Select any of the options which are the same as $1\times a$
- $1a$ ✓
- $1+a$
- $a$ ✓
- $0a$
Match up the calculation with the simplified expression.
- $r+r+r$
  
  ⇔
  
  $3r$ ✓
- $r+r+r-r$
  
  ⇔
  
  $2r$ ✓
- $r\times4$
  
  ⇔
  
  $4r$ ✓
- $r\times r\times r$
  
  ⇔
  
  $r^3$ ✓
- $r\times r\times r\times r$
  
  ⇔
  
  $r^4$ ✓
- $r+r-r+r+r-r-r$
  
  ⇔
  
  $r$ ✓
Match the expression with the description.
- $9a-3$
  
  ⇔
  
  a number multiplied by 9 then 3 is subtracted ✓
- $9(a-3)$
  
  ⇔
  
  a number minus 3 then multiplied by 9 ✓
- $9\over a-3$
  
  ⇔
  
  9 divided by 3 less than a number ✓
- ${9\over a} -3$
  
  ⇔
  
  9 divided by a number then 3 is subtracted ✓
- $9a^3$
  
  ⇔
  
  a number cubed then multiplied by 9 ✓
- $(9a)^3$
  
  ⇔
  
  a number multiplied by 9 then cubed ✓

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Expressions involving repeated addition can be written more simply.
Expressions involving multiplication can be written more simply using algebra conventions.
Expressions involving algebraic terms can be written in index form.
Some conventions make it more simple to read expressions.

Pupils may write a3 instead of 3a to represent multiplication of a and 3.

Use algebra tiles to show a x 3 gives 3 lots of a. Highlight that conventions make mathematics clearer to read and avoids miscommunication.

Term - A term is single number or letter, or the product of numbers and/or variables. Each term is separated by the operators + and –
Expression - Expressions contain one or more terms, where each term is separated by an operator.
Conventions - Mathematical conventions are notations or processes generally agreed upon.