Page 103 - MAT KS3 Y8 Cambridge CheckPoint

End-of-unit review

End-of-unit review

1 Use the guidelines at the start of this unit to rewrite these expressions.
a 6 × p b 7 + n c cb9 d −6u + 1 e 9 + 5 × x f b × 3 + a6
2 Simplify these expressions.
2
2
a 3a + 7b + 5a − 2b b 8 + 6v − 2v − 12 c 3x + 7y + 9 − x + 5y
3 In an algebraic pyramid the expression in each block is found by adding the expressions in the two
blocks below it. Copy and complete this pyramid.

15ab + 8bc

5ab + bc 2ab + 4bc

4 Expand these expressions.
a 3(x + 4) b 8(y − 1) c 4(3a + 2) d 5(4 − 7b) e 3(2c + 6d) f 8(4xy − 3z)
g x(2y + 1) h n(4n + 6) i e(8 − d) j k(2h + 8k) k 2y(3y + 9) l 3m(2m + n − 5)

5 Expand and simplify each expression.
a 3(x + 4) + 5(x + 6) b 6(3w + 1) − 4(w + 5) c 2(4a + 7b) − 3(2a − 3b)
d x(x + 8) + x(x + 4) e u(3u + 4) − u(u + 2) f w(10w + 4x) − 3w(3w − 4x)

6 Work out the value of x and y in each of these diagrams. All measurements are in centimetres.
a 2x + 3 b 5(x + 2) c 4x + 2

4y – 6 22 3(y – 4) 36 2y + 9 4y – 5

19
40 3x + 7
7 Work out the value of x in each of these shapes. All measurements are in centimetres.
a b 4x – 10 c
3x – 4 2x + 8
2(2x + 4) 8(x – 3)

2(x + 4)
8 For each part of this question:
i write down an equation to represent the problem
ii solve the equation.
a Razi thinks of a number. He multiplies it by 5 then adds 9. The answer is 44.
What number did Razi think of?
b Dakarai thinks of a number. He divides it by 3 then subtracts 7. The answer is 4.
What number did Dakarai think of?
c Mia thinks of a number. She multiplies it by 5 then subtracts 10. The answer is the
same as 2 times the number plus 11.
What number did Mia think of?
d Tanesha thinks of a number. She adds 2 then multiplies the result by 3. The answer is
the same as adding 5 to the number then multiplying by 2.
What number did Tanesha think of?

9 Simplifying expressions and solving equations 101