Checking and securing understanding of the distributive law with algebraic terms | Maths

Starter quiz

What does the symbol $\equiv$ represent in the identity $x + x + x \equiv 3x$ ?
- There is a value for $x$ which makes both sides equal.
- Both sides are equivalent expressions. ✓
- The left hand side does not equal the right hand side.
- The identity can be solved to find the value of $x$
Which of these examples show two like terms?
- $2x$ and $0.4x$ ✓
- $x^2$ and $x$
- $5xy$ and $5y$
- $3xy$ and $3yx$ ✓
- $8x$ and $4$
Which of these bar models represents 3 lots of the expression $2x + 1$ ?
Match the product of two terms with its simplified expression.
- $3 \times 2x$
  
  ⇔
  
  $6x$ ✓
- $3 \times -2x$
  
  ⇔
  
  $-6x$ ✓
- $-3 \times -x$
  
  ⇔
  
  $3x$ ✓
- $x \times 2x$
  
  ⇔
  
  $2x^2$ ✓
- $-x \times 2x$
  
  ⇔
  
  $-2x^2$ ✓
- $-3x \times -2x$
  
  ⇔
  
  $6x^2$ ✓
Which of these is an equivalent calculation to $44\times 12$ ?
- $(11\times 3) + (4\times 4)$
- $(44\times 6) + (44\times 2)$
- $(44\times 8) + (44\times 4)$ ✓
- $(40\times 10) + (4\times 2)$
- $(44\times 10) + (44\times 2)$ ✓
Match each product of two terms with its simplified expression.
- $-x \times -x$
  
  ⇔
  
  $x^2$ ✓
- $2x \times x$
  
  ⇔
  
  $2x^2$ ✓
- $2x \times y$
  
  ⇔
  
  $2xy$ ✓
- $-2y \times x$
  
  ⇔
  
  $-2xy$ ✓
- $x \times -y$
  
  ⇔
  
  $-xy$ ✓