Problem solving with linear equations | Maths | Quizalize & Oak National Academy

Starter quiz

$4(7x-13)$ is an ______ for the perimeter of this square.
- 'expression' ✓
Evaluate $2(3x-4)+2(5x+9)$ when $x=6$ . The value of the expression is ______.
- '106' ✓
Expand and simplify $2(6x-4)+2(x-7)$ .
- $8x-8+2x-14=10x-22$
- $12x-8+2x-14=14x+22$
- $12x-8+2x-14=14x-22$ ✓
- $12x-4+2x-7=14x-11$
The solution to the equation $4(7x-3)=128$ is $x=$ ______.
- '5' ✓
Solve $4x+7=8x-9$ .
- $x=-4$
- $x=-0.5$
- $x=0.5$
- $x=4$ ✓
Laura thinks of a number. She multiplies it by 8 and subtracts 12. Her answer is 60. Laura's number is ______.
- '9' ✓

The perimeter of this square is $80$ units. You can find the value of $x$ using the ______ $4(7x-8)=80$ .
- 'equation' ✓
The perimeter of this square is $80$ units. What is the value of $x$ ? $x=$ ______.
- '4' ✓
Find the perimeter of this square. $P=$ ______.
- '40' ✓
An electrician has a call-out fee of £120 and then charges an hourly rate for their work. For a six hour job they charge £480. Calculate their hourly rate.
- £100
- £80
- £60 ✓
- £20
Sofia thinks of a number. She multiplies it by 6 and then subtracts 24. Sofia multiplies her original number by 4 and adds 6. She gets the same answer both times. Sofia's number is ______.
- '15' ✓
Three children share 65 sweets. Lucas takes 5 more sweets than Jacob does. Izzy takes four times as many sweets as Jacob does. Jacob takes ______ sweets.
- '10' ✓

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That algebra, in particular solving equations, is abstract and not related to the world around us.

Ask pupils to solve $4(x+3)=20$ . Then show a square with length $x+3$ , tell them the perimeter is $20$ and ask them to find $x$ .

Equation - An equation is used to show two expressions that are equal to each other.
Solution - The solution to an equality is the value which, when substituted, maintains the equality between the expressions.