Simplifying by collecting like terms | Maths | Quizalize & Oak National Academy

Starter quiz

__________ have the same set of variables and corresponding exponents.
- Expressions
- Constants
- Variables
- Equations
- Like terms ✓
Which of these show pairs of like terms?
- $7y$ and $7x$
- $n$ and $8n$ ✓
- $-x$ and $4x$ ✓
- $-6e$ and $-3f$
- $12y$ and $\frac{1}{2} y$ ✓
Which of these will simplify to $3x$ ?
- $x \times x \times x$
- $x + x + x$ ✓
- $3 + x$
- $3 \times x$ ✓
Match the calculations with the correct answer when evaluated.
- 5-2
  
  ⇔
  
  3 ✓
- 2-5
  
  ⇔
  
  -3 ✓
- 5-(-2)
  
  ⇔
  
  7 ✓
- 7-2-5
  
  ⇔
  
  0 ✓
- 7-2+5
  
  ⇔
  
  10 ✓
- -7+2-5
  
  ⇔
  
  -10 ✓
Match the like terms.
- $5a$
  
  ⇔
  
  $-2a$ ✓
- $3b$
  
  ⇔
  
  $b$ ✓
- $-2c$
  
  ⇔
  
  $12c$ ✓
- $8ab$
  
  ⇔
  
  $-ab$ ✓
- $bc$
  
  ⇔
  
  ${{1}\over{4}}bc$ ✓
Which of the below is not a like term?
- $3e^2f$
- $-2e^2f$
- $3ef^2$ ✓
- $2e^2f$
- $3000e^2f$

When an expression cannot be simplified further, we say it has been ______ simplified.
- 'fully' ✓
Fully simplify the expression $2x+3y+7x-y$
- $5xy-7xy$
- $2x+7x+3y-y$
- $9x + 3$
- $9x + 2y$ ✓
- $9x-2y$
Which of the below statements is true of the expression $9x+2y$ ?
- It simplifies to $11xy$ .
- It can not be simplified further. ✓
- It simplifies to $11xy^2$
Which of these best describes what is expressed by this set of algebra tiles?
- $4y+6y \equiv 10y$
- $4y-6y \equiv 2y$
- $4y-6y \equiv -2y$ ✓
- $6y-4y \equiv 2y$
Simplify $3x^2+x+2+5x^2+x+5$
- $8x^2+x^2+7$
- $8x^4+2x^2+7$
- $8x^2+2x+7$ ✓
- $8x^4+7$
- $8x^3+7$
Which is a fully simplified expression for the perimeter of this rectangle?
- $6x+14+2x+10y$
- $3x+7+x+5y+3x+7+x+5y$
- $8x+10y+14$ ✓
- $4x+5y+7+4x+5y+7$

Simplifying means just grouping the algebraic terms.

Remind pupils that fully simplifying means the expression cannot be simplified further.

Like terms - Like terms are terms that have the same set of variables and corresponding exponents.
Simplify - Simplifying is to write an expression in the most efficient and compact form without affecting the value of the original expression.