Securing understanding of equality | Maths | Quizalize & Oak National Academy

Starter quiz

Aisha is $a$ years old. Which of these is an expression for her age 2 years ago?
- $a + 2$
- $a - 2$ ✓
- $2a$
- $a\over 2$
- $2 - a$
Andeep is thinking of a number, when he adds 2 then multiplies by 5 he gets 27. Which of these equations represents his number?
- $5a + 2 = 27$
- $a = 27 + 2 \times 5$
- $5(a + 2) = 27$ ✓
- ${a-2\over 5}=27$
- $a + 2\times 5 = 27$
Which equations are represented by this bar model?
- $3x = y + 6$ ✓
- $3x + 6 = y$
- $3x + y = 6$
- $6 + y = 3x$ ✓
- $x = 6 + y$
Select the calculation that is equivalent to $8+4\over 4$ .
- $8 + {4\over 4}$
- ${8\over 4} + 4$
- ${8\over 4}+{4\over 4}$ ✓
- $8\times 4 + 4\times 4$
- $8\div (4+4)$
Which expression is represented by this bar model?
- $a + a + 2$
- $6a + 6$ ✓
- $6a + 2$
- $3(a + 2)$
- $3(2a + 2)$ ✓
Match each expressions containing brackets with its expanded form.
- $2(3x - 4)$
  
  ⇔
  
  $6x - 8$ ✓
- $2(4 - 3x)$
  
  ⇔
  
  $-6x + 8$ ✓
- $2(3x - 2)$
  
  ⇔
  
  $6x - 4$ ✓
- $2(2 - 3x)$
  
  ⇔
  
  $-6x + 4$ ✓
- $-2(-3x - 4)$
  
  ⇔
  
  $6x + 8$ ✓
- $-2(4 + 3x)$
  
  ⇔
  
  $-6x - 8$ ✓

Which of these is the best definition for like terms?
- Terms which when added, sum to zero.
- Terms with the same coefficient for each variable.
- Terms with the same set of variables and corresponding exponents. ✓
- Identical terms which have the same coefficient and same variables.
- Terms with the same variable and different exponents.
These 5 bar models represent operations performed on the equation $x + 9 = 22$ . Match the bar models labelled A, B, C, D and E with the equivalent equation they represent.
- A
  
  ⇔
  
  $2(x + 9)= 2(22)$ ✓
- B
  
  ⇔
  
  $x + 9 + x + 9 = 22 + x + 9$ ✓
- C
  
  ⇔
  
  $x + 9 + 2x + 18= 22 + 2x + 18$ ✓
- D
  
  ⇔
  
  $3(x + 9) = 3(22)$ ✓
- E
  
  ⇔
  
  $x + 9 + 22 = 22 + 22$ ✓
This bar model represents the initial equation $2a + 6 = 14.$ What needs to be done to the bottom bar to maintain equality?
- $\times 2$
- $+14$
- $+2a$ ✓
- $+6$
- $\times a$
If $x + 5 =2$ , which of these equations have maintained equality?
- $2x + 5 = 4$
- $2x + 5 = x + 2$ ✓
- $x + 3 = 0$ ✓
- $x + 12 = 10$
- ${x+5\over 2}=1$ ✓
If $a = b$ , which of the following are true?
- $a - c = b - c$ ✓
- $ac = {b\over c}$
- $a + c = b - c$
- $ac=bc$ ✓
- $a + c = b + d$
Which expression could fill the blank on the right hand side of this equation to maintain equality?
- $10$
- $15$ ✓
- $5 + a + b$
- $5 + a + b + a + b$ ✓
- $2a + 2b + 5$ ✓

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Trying to double an expression and only doubling one term.

Use the numerical examples to show why this does not work. Use of brackets in working out is also helpful.

Equation - An equation is used to show two expressions that are equal to each other.
Variable - A variable is a quantity that can take on a range of values, often denoted by a letter.
Constant - A constant is a term that does not change; it contains no variables.
Like terms - Like terms are terms that have the same set of variables and corresponding exponents.