Introduction to Algebra
Substitution
Multiplication and Division questions
Expanding brackets
Finding the mean of decimals and negatives
100
Write an algebraic expression for:
“5 more than a number.”
x+5
100
If x=3, find x+5
8
100
Work out 7 x 8
56
100
Expand 3(x−2)
3x−6
100
Find the mean of:
10, 14, 16, 20
15
200
Let x represent a number.
Write an expression for:
“Half of a number, then add 7.”
200
If y=−4, calculate 3y
3×−4=−12
200
A factory produces 125 boxes each day.
How many in 6 days?
750 boxes
200
Expand 5(y−4)
5y−20
200
Find the mean of:
1.2, 3.8, 5, 0
2.5
300
A shop sells notebooks for £n each.
Write an expression for the total cost of buying 6 notebooks and a £3 pen.
6n+3 (or any other variable used will be accepted)
300
If a=−2, work out 5a−3a
-4
300
A school buys 24 packs of pencils.
Each pack contains 18 pencils.
The pencils are shared equally between 12 classrooms.
How many pencils does each classroom receive?
24×18=432
432÷12=36
300
Expand −2(a−3)-2
−2a+4
300
Find the mean of:
-5, -1, 3, 7
1
400
4x+3(2x−5)−2x÷2
9x−15
400
If p=−6 and q=2, calculate 2p+3q-4
-10
400
A 3.6 kg bag of rice is split equally into 8 smaller bags.
How much in each?
0.45 kg per bag
400
Expand 4(2x−5+3x-5)
20x-40
400
Four test scores have a mean of 18.
Three scores are 20, 16 and 14.
Find the fourth score.
22
500
5x+4(3x−2)−2(2x+1)+3x÷3
14x−10
500
If m=−3, evaluate 4m2 - 2m
42
500
A company makes £2,450 each week.
After 5 weeks, the total is divided between 7 employees.
How much does an employee receive in a year?
Each employee receives £21,000 each year
500
−3(2x−7)+4(x−5)
−6x+21+4x−20
= −2x+1
500
The mean of six numbers is -2.
Five numbers are:
-5, -1, 3, -4 and 2.
Find the sixth number.
-7