Additive relationships | Maths | Quizalize & Oak National Academy

Starter quiz

63 + 37 = 100 being rearranged to 37 + 63 = 100 is an example of __________.

categorisation

commutativity ✓

congruency

coordination

cumulation
When rearranging equations, you must perform the same operation to both sides in order to maintain __________.

equation

equality ✓

equalness

equilateral
In the equation 172 + 398 = 570, the term 570 can be described as the __________ of 172 and 398.

factor

multiple

product

sum ✓
Given that 1734 + 2117 = 3851, which of these calculations are correct?

2117 + 1734 = 3851 ✓

1734 + 3851 = 2117

3851 + 2117 = 1734

3851 − 2117 = 1734 ✓

2117 = 1734 − 3851
Match each operation to its inverse operation.

Addition

⇔

Subtraction ✓

Subtraction

⇔

Addition ✓

Multiplication

⇔

Division ✓

Squaring

⇔

Square rooting ✓
Which of these equations can be represented by this bar model?

$x+3=15$ ✓

$x=3+15$

$15-x=3$ ✓

$3x=15$

$x-15=3$

$3x^2+4x=13$ being rearranged to $4x+3x^2=13$ is an example of __________.

constants

communication

commutativity ✓

cumulativity
Which of these equations are valid rearrangements of the generalisation $a+b=c$ ?

$b+c=a$

$b+a=c$ ✓

$b-c=a$

$c-b=a$ ✓

$c-a=b$ ✓
Which of these equations are valid rearrangements of the equation $100-2x=5y$ ?

$100-5y=2x$ ✓

$100+5y=2x$

$2x+5y=100$ ✓

$2x+100=5y$

$2x-100=5y$
Which of these equations are represented in this bar model?

$23+2c=9d$ ✓

$2c-9d=23$

$9d-2c=23$ ✓

$9d-23=2c$ ✓

$23-9d=2c$
Which of the below are correct rearrangements of the equation 71 + 13 + 15 = 99 ?

71 = 99 − 15 − 13 ✓

71 = 99 − (15 − 13)

71 = 99 − (15 + 13) ✓

71 = 99 − 15 + 13

71 = 99 + 15 − 13
Which of the below are correct rearrangements of the equation $9x^3+2y-7=3z$ ?

$9x^3=3z+2y-7$

$9x^3=3z+(2y-7)$

$9x^3=3z-(2y-7)$ ✓

$9x^3=3z-2y-7$

$9x^3=3z-2y+7$ ✓

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When adding or subtracting, terms may only be combined if the order of each variable in each term is the same.
The sum of the terms can be thought of as a term, despite being comprised of multiple terms.
a + b = c also means that a = c − b
a = c − b can also be written as a = c + (−b)

Rearranging equations means you can just swap where terms are.

Remind pupils that subtraction and division are not commutative so swapping the order will matter.

Equation - An equation is used to show two expressions that are equal to each other.