Brackets in equations | Maths | Quizalize & Oak National Academy

Starter quiz

Turning the expression $5(y-2)$ into $5y-10$ is known as ______ the brackets.

multiplying out ✓

erasing

factorising

expanding ✓
$2(x+4)$ and $2x+4$ are the equivalent expressions. True or false?

True. There is a $2$ , an $x$ , and a $+4$ . That means they are the same.

False. $2$ lots of $(x+4)$ is $(x+4)+(x+4)$ which is $2x+8$ not $2x+4$ ✓

You cannot know until you know the value of $x$ .
Which of these are expressions for the perimeter of this square?

$5y+3$

$4\times5y+3$

$4(5y+3)$ ✓

$20y+3$

$20y+12$ ✓
What equation does this bar model represent?

$4y=12$

$4y=20$

$4y+12=20$ ✓

$4y+20=12$

$4(y+12)=20$
Expand $7(y+8)$ .

$7y+8$

$7y+15$

$7y+56$ ✓

$y+56$
Expand $-7(y+8)$ .

$7y-56$

$-7y-56$ ✓

$-7y+56$

$7y+56$

If you multiply both sides of an equation by $2$ , you will maintain ______.

the value

equality ✓

equation

the expressions
True or false? Multiplying by $5$ and then adding $10$ is the same as adding $10$ then multiplying by $5$ .

True. Both have $\times 5$ and $+10$ so they are the same function.

False. Order matters. ✓
What equation does this bar model represent?

$3\times x + 5 = 17$ ✓

$x + 5 \times 3 = 17$

$(x + 5) \times 3 = 17$

$x + 5 = 17$

$3x + 5 = 17$ ✓
What does this bar model represent?

$3\times x + 5 = 17$

$(x + 5) \times 3 = 17$ ✓

$3(x + 5) = 17$ ✓

$x + 5 \times 3 = 17$

$3x + 15 = 17$ ✓
Multiply both sides of this equation ${1\over3}x-5 = 2x+7$ by $3$ .

$x-5=6x+7$

$x-15=6x+21$ ✓

$3x-15=6x+21$

$3({1\over3}x-5) = 3(2x+7)$ ✓
Which of the below is the most efficient first step to solve the equation ${3\over{x}}= 10$ ?

$3({3\over{x}})= 3(10)$

$x({3\over{x}})= x(10)$ ✓

$10({3\over{x}})= 10(10)$

$10x({3\over{x}})= 10x(10)$

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Multiplying both sides of an equation by the same term can be shown using brackets.
An expression involving brackets can be expanded.
Equations involving brackets can be expressed in words.
Equations involving brackets can be represented using bar models.

That \" $x$ times five, plus three\" is the same as \" $x$ plus three, times five\".

Use visual representations to demonstrate why and how they are different. Use algebra tiles if you have them, or get pupils to draw them.

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