Page 104 - Mathematics Coursebook

End of unit review

End of unit review

1 Simplify these expressions.
a n + n + n b 3c + 5c c 4b + b
d 8v − 2v e 9x − x f 11k − 10k

2 Simplify these expressions by collecting like terms.
a 5c + 6c + 2d b 6c + 5k + 5c + k
c 7x + 6w − 3x + 3w d 9p + 12q − 6p − 10q
e 4ad + 7bn + 5ad − 2bn f 3xy + 5yz − 2xy + 3yz

3 Copy and complete this algebraic pyramid.
Remember that you fi nd the
13x + 20y expression in each block by
6x + 9y adding the expressions in the
3x + 5y two blocks below it.
2x + y

4 Expand the brackets.
a 3(x + 2) b 4(y − 5) c 2(3 + z) d 6(3 − w)

5 Multiply out the brackets.
a 4(3x + 2) b 2(2y − 3) c 5(5 + 3z) d 3(7 − 4v)

6 Which one of these expressions is the odd one out?
Explain your answer.

3(16x + 12) 2(18 + 24x) 4(12x + 8) 6(6 + 8x)

7 Solve each of these equations and check your answers.
a n + 3 = 8 b m − 4 = 12 c 3p = 24 d x = 3
5
8 Solve each of these equations and check your answers.

a 3b + 2 = 17 b 4c − 1 = 19 c d + 2 = 9 d b − 1 = 4
3 7
9 Shen and Zalika have set some puzzles. Write an equation for each of them. Solve your equations to

find the values of the unknown numbers.
a b
I think of a number and I think of a number.
add 3. The answer is 22. I multiply it by 2 then
add 4. The answer is 28.
10 The total length of each set of bricks is shown.
Write an equation involving the lengths of the bricks, then solve your equation.
a x cm x cm x cm 6 cm b y cm y cm y cm y cm 2 cm
y cm
2 cm
y cm
y cm
x cm x cm
x cm
6 cm
y cm

34 cm
21 cm
21 cm 34 cm
9 Expressions and equations 103