Writing an Expression
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Either paper 3 marks
Owen thinks of a number, \(n\).
(a)Owen multiplies the number by 2 and then subtracts 12.
Write an expression, in terms of \(n\), for his answer.
(b)Owen then multiplies his answer by 2.
Write an expression, in terms of \(n\), for his new answer. Give your expression in its simplest form.
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Either paper 3 marks
Leo is \(x\) years old.
(a)Oscar is 7 years older than Leo.
Write an expression, in terms of \(x\), for Oscar's age.
(b)Write an expression, in terms of \(x\), for the total of Leo's age and Oscar's age.
Give your expression in its simplest form.
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Either paper 3 marks
A pen costs \(p\) pence.
(a)A pencil costs 10 pence less than a pen.
Write an expression, in terms of \(p\), for the cost of a pencil, in pence.
(b)Rosa buys 6 pens and 4 pencils.
Write an expression, in terms of \(p\), for the total amount she pays, in pence. Give your expression in its simplest form.
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Either paper 2 marks
Joel is a plumber. He charges £30 for each hour he works, plus a fixed call-out fee of £10.
Write an expression, in terms of \(h\), for the total charge, in pounds, for a job that lasts \(h\) hours.
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Either paper 1 mark\(m\) is double \(n\). Circle the correct formula.
\(m = 2n\) \(m = n - 2\) \(m = n + 2\) \(m = \frac{ n }{ 2 }\) -
Either paper 1 mark
\(h\) is 8 smaller than \(g\).
Circle the correct equation.
\(g = 8h\) \(g = h - 8\) \(h = g - 8\) \(h = 8g\)
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Either paper 3 marks
A rectangle has width \(w\) cm.
(a)The length of the rectangle is 7 cm more than its width.
Write an expression, in terms of \(w\), for the perimeter of the rectangle, in centimetres. Give your expression in its simplest form.
(b)Work out the perimeter of the rectangle when \(w = 12\) cm.
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Either paper 3 marks
Ben has \(n\) stickers.
(a)He shares the stickers equally between 7 pupils.
Write an expression, in terms of \(n\), for the number of stickers each pupil gets.
(b)The next day Ben has \(n\) stickers again, but 12 of them are torn and he throws those away.
He shares the rest equally between the 7 pupils.
Write an expression, in terms of \(n\), for the number of stickers each pupil gets now.
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Either paper 3 marks
A shop has 90 chopping boards in stock.
\(x\) of them are wooden and the rest are plastic.
(a)Find an expression, in terms of \(x\), for the number of plastic chopping boards in stock.
(b)The shop sells every plastic chopping board for £7.
Find an expression, in terms of \(x\), for the amount the shop takes for the plastic chopping boards, in pounds.
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Either paper 4 marksIn each description, \(n\) is a number. Match each description to the correct expression. One has been done for you.
Description 3 has been matched to expression E. Match each of the other four descriptions to its expression. Give your answer as pairs, for example 2 to A.Description Expression 1 half of the sum of \(n\) and 6 A \(n - 6\) 2 subtract 6 from \(n\) B \(2n\) 3 \(n\) multiplied by 6 C \(\frac{ n }{ 2 } + 6\) 4 double \(n\) D \(\frac{ n + 6 }{ 2 }\) 5 \(n\) divided by 6 E \(6n\) F \(\frac{ n }{ 6 }\) G \(\frac{ 6 }{ n }\)
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(a) \(2n - 12\)
(b) \(4n - 24\) -
(a) \(x + 7\)
(b) \(2x + 7\) -
(a) \(p - 10\)
(b) \(10p - 40\) - \(30h + 10\)
- \(m = 2n\)
- \(h = g - 8\)
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(a) \(4w + 14\)
(b) \(62\ \text{cm}\) -
(a) \(\frac{ n }{ 7 }\)
(b) \(\frac{ n - 12 }{ 7 }\) -
(a) \(90 - x\)
(b) \(7(90 - x)\) - 1 to D; 2 to A; 4 to B; 5 to F
Takes a couple of seconds the first time a sheet is made.