Algebraic terminology | Maths | Quizalize & Oak National Academy

Starter quiz

Select the expression which is the same as $1+-3$
- $1+3$
- $1-3$ ✓
- $1--3$
- $-1+3$
Select any numbers which are factors of 11
- 1 ✓
- 10
- 11 ✓
- 22
- 121
In the expression $4x+2y-5+x^2$ there are four __________
- terms ✓
- variables
- factors
- exponents
Select any expressions which are the same as $y$
- $0\times y$
- $1+y$
- $1y$ ✓
- $y\times 1$ ✓
- $y+0$ ✓
Izzy says the factors of 18 are 1, 2, 3, 6, 18. Which factor has she missed out? ______
- '9' ✓
Which is the correct way of writing $x\times x\times x\times x\times y\times y$ ?
- $x^2y^2$
- $x^2x^2y^2$
- $x^4y^2$ ✓
- $xy^6$
- $xy^8$

In the expression $4y+0.5-3x$ , what is the coefficient of $x$ ?
- '-3' ✓
What is the constant term in the expression $4y+0.5-3x$ ?
- '0.5' ✓
Select any terms which are factors of $16x^2y$
- 8 ✓
- $10y$
- $2xy$ ✓
- $4y^2$
- $16x^2y$ ✓
Select any algebraic statements which are written correctly as identities.
- $a+a+a\equiv 3a$ ✓
- $a+3\equiv 10$
- $A\equiv{1\over 2}bh$
- $x+x+x\equiv 3y$
- $b+b+b+a\times a\equiv 3b+a\times a$ ✓
Match up the type of algebraic statement with their key features
- An equation
  
  ⇔
  
  shows two expressions are equal in some cases. Contains $=$ ✓
- An expression
  
  ⇔
  
  contains 1 or more terms and no equals sign ✓
- A formula
  
  ⇔
  
  shows the relationship between multiple variables ✓
- An identity
  
  ⇔
  
  shows two expressions are always equal. Contains $\equiv$ ✓
Select the missing factor in the product $5p\times$ __________ $=15p^2q$
- 3
- $3p$
- $3pq$ ✓
- $3p^2$
- $3p^2q$

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Words you have used to describe numbers can also be used in algebra like factor and product.
It is important to be able to use the words term and coefficient correctly.
Knowing the difference between an expression, a formula, an equation and identity can help you speak mathematically.

Pupils may think the coefficient of b in a-2b is 2 instead of -2 .

Show subtraction as addition of a negative value. This can be done with negative algebra tiles.

Identity - An identity is an equation that holds true for all values of the variables. The symbol ≡ is used to show two expressions form an identity.
Formula - A formula is a rule linking sets of physical variables in context. The plural of formula is formulae.
Coefficient - A numerical coefficient is a constant multiplier of the variables in a term.
Constant - A constant is a term that does not change; it contains no variables.