Like terms | Maths | Quizalize & Oak National Academy

Starter quiz

In the expression $x^2+7x+10$ the $x^2$ , the $7x$ and the $10$ are all known as what?
- Variables
- Constants
- Terms ✓
- Equations
- Integers
How do you write $7\times a$ using correct algebraic notation?
- $a \div 7$
- $a^7$
- $a+7$
- $7a$ ✓
Which of these show a correctly written identity?
- $a+a+a=a^3$
- $a+a+a\equiv 3a$ ✓
- $a+a+a=3a$
Match the expressions to their simplified form.
- $3 \times x$
  
  ⇔
  
  $3x$ ✓
- $2 \times x$
  
  ⇔
  
  $2x$ ✓
- $x \times x$
  
  ⇔
  
  $x^2$ ✓
- $x \times x \times x$
  
  ⇔
  
  $x^3$ ✓
Which of the below simplifies to $a^3b$ ?
- $3 \times a \times b$
- $a \times 3 \times b$
- $a \times a \times b$
- $a \times a \times a \times b$ ✓
- $a \times b \times b \times b$
Match the expressions to their simplified form.
- $x \times y$
  
  ⇔
  
  $xy$ ✓
- $x \times y \times z$
  
  ⇔
  
  $xyz$ ✓
- $y \times z$
  
  ⇔
  
  $yz$ ✓
- $y \times z \times z$
  
  ⇔
  
  $yz^2$ ✓
- $y \times y \times z$
  
  ⇔
  
  $y^2z$ ✓
- $y \times z \times 2$
  
  ⇔
  
  $2yz$ ✓

Which of these show pairs of like terms?
- $-5e$ and $5e$ ✓
- $5e$ and $5e$ ✓
- $5c$ and $5e$
- $5e$ and $5f$
- ${{1} \over {2}} e$ and $7e$ ✓
$3a, 10a, {{1} \over {3}}a, 0.5a,$ and $a$ are all examples of what in algebra?
- Like terms ✓
- Constants
- Integers
- Equations
Match each term with a like term.
- $2xy$
  
  ⇔
  
  $-xy$ ✓
- $5xyz$
  
  ⇔
  
  ${{1} \over {2}}xyz$ ✓
- $-xz$
  
  ⇔
  
  $0.1xz$ ✓
- ${{1} \over {2}}yz$
  
  ⇔
  
  $2yz$ ✓
- $0.1y$
  
  ⇔
  
  $5y$ ✓
$5x$ and $5x^2$ are not like terms because the variables do not have corresponding ______.
- 'exponents' ✓
Select all of the like terms.
- $3x^2$ ✓
- $2x^3$
- $3x$
- $2x^2$ ✓
- $3x^2y$
Match each term with a like term.
- $-a^2b$
  
  ⇔
  
  $5a^2b$ ✓
- $ab^2$
  
  ⇔
  
  $-ab^2$ ✓
- $2ab^2c$
  
  ⇔
  
  $ab^2c$ ✓
- $3a^2b^2$
  
  ⇔
  
  $2a^2b^2$ ✓
- $4a^2bc$
  
  ⇔
  
  $3a^2bc$ ✓
- $5a^2bc^2$
  
  ⇔
  
  $4a^2bc^2$ ✓

2y and 3y are not like terms because they have different coefficients.

Think of 'Unitising'. 3cm and 8cm. What are the units? 8mg and 10mg. What are the units? 2y and 3y. What are we 'unitising' here?

Unitising - Unitising means treating groups that contain, or represent, the same numbers of things as ‘ones’ or ‘units’.
Like terms - Like terms are terms that have the same set of variables and corresponding exponents.