Equality in an equation | Maths | Quizalize & Oak National Academy

Starter quiz

Which expression is represented by this bar model?

$3x + 6$

$6x + 6$

$6x + 12$ ✓

$2(3x + 6)$ ✓

$3(x + 6)$
Select the bar model that correctly represents the equation $3x + 15 = x + 32$ .
Given that $2.4 + 3.7 = 6.1$ , which of these are also true?

$2.4 + 6.1 = 3.7$

$6.1 - 2.4 = 3.7$ ✓

$3.7 - 2.4 = 6.1$

$2.4 = 6.1 - 3.7$ ✓
This bar model represents the initial equation $x + 16 = 27$ . What needs to be done to the top bar to maintain equality?

$+ 2$

$+ 16$

$+ (x + 16)$ ✓

$+ 27$ ✓

$+ x$
This bar model represents the initial equation $2x + 5 = 9$ . What needs to be done to the top bar to maintain equality?

$+9$

$+ (2x + 10)$

$+ (4x + 10)$ ✓

$\times 2$

$\times 3$ ✓
These 4 bar models represent operations performed on the equation $x + 12 = 19$ . Match the bar models labelled A, B, C, D with the equivalent equation they represent .

A

⇔

$3(x + 12) = 57$ ✓

B

⇔

$x + 12 + 2x + 24 = 19 + 2x + 24$ ✓

C

⇔

$x + 12 + 38 = 19 + 38$ ✓

D

⇔

$4(x + 12) = 76$ ✓

Which equations are represented by this bar model?

$a + c = 12$

$a − c = 12$ ✓

$c − a = 12$

$12 + a = c$

$c = a − 12$ ✓
Which equations are represented by this bar model?

$3x + 18 = 28$

$3x + 18 - 28 = x$ ✓

$x + 28 − 3x + 18 = 0$

$x = x + 28 − 18 − 2x$ ✓

$2x = 28 − 18 − x$
If $31 − x = 17$ , which of these equations are also true?

$31 − 17 = x$ ✓

$17 − x = 31$

$x + 17 =31$ ✓

$x = 31 + 17$

$x = 17 − 31$
These scales are not balanced. The mass of all the square objects are the same. Which statements are definitely true?

The triangle is lighter than 1 square.

The triangle is lighter than 2 squares. ✓

The triangle has the same mass as 1 square.

The triangle has the same mass as 2 squares.

The triangle is heavier than 1 square.
The diagram shows a balanced scale on the left. When an operation is performed to the RHS, it is not balanced. What operation must be performed to the LHS to maintain equality?

$+1$

$+3$ ✓

$+x$

$\times 2$

$\times 3$
The diagram shows a balanced scale on the left. When an operation is performed to the LHS, it is not balanced. What operation must be performed to the RHS to maintain equality?

$+1$

$−1$

$+x$ and $−1$

$−2x$ and $−1$ ✓

$\times {1\over 2}$ ✓

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The equals sign means that the two sides of the equation have the same value.
This can be described as the expressions balancing.
The equality of the expressions can be represented with a bar model.
It is possible to rearrange equations to find the family of alternative versions of the equation.

10 - x = 2 means that 2 - x = 10

Using bar models can help pupils understand rearranging additive relationships at an early stage.

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