WorksheetsAlgebra RECAP
Total questions: 10
Worksheet time: 5mins
Collect the following terms:
3a + 2b - 4a + 3b
5b - a
7a + 5b
5b + 7a
a + 5b
Expand the bracket:
4 ( 2 + 5a )
6 + 9a
6 + 20a
2 + 20a
8 + 20a
Expand and simplify:
3 ( 2a + b ) + 4 ( 3a + 2b )
6a + 3b + 12a + 6b
= 18a + 9b
6a + 3b + 12a + 8b
= 18a + 10b
6a + 3b + 12a - 8b
= 18a - 5b
6a + 3b + 12a + 8b
= 18a + 11b
Fully factorise the following expression:
12a + 6b
2 ( 6a + 3b )
6 ( 2a + b )
3 ( 4a + 2b)
4 ( 3a + b )
Solve the following equation:
3a + 7 = 1
3a = 8
a = 8/3
3a = 6
a = 2
3a = -6
a = -2
3a = -7
a = -7/3
A taxi driver charges £3 for the first mile and then £2 per mile after that.
What formula would be appropriate to find Total Cost?
TC = 3 + 2m
TC = 2 + 3m
m = TC + 6
m = TC - 6
When a = 2, b = 5 and c = -1
Find the value of:
i) a + b
ii) a + c
i) 7
ii) 3
i) 7
ii) 1
i) 10
ii) 1
i) 10
ii) -2
A rectangle is 2 by 3. The area is 2 x 3 = 6
If a rectangle is (a + 2) by (a + 3), which is the simplified expression for its area?
a^2 + 2a + 3a + 6
= a^2 + 5a + 6
a^2 + 2a + 3a + 6
= 6a^2 + 6
a + 2 + a + 3
= 2a + 5
2 ( a + 2 + a + 3 )
= 4a + 12
I can buy 4 coffees and 3 teas for £2.50
I can buy 3 coffees and 3 teas for £2.10
How would you work the cost of a coffee and of a tea?
4c + 3t = 250
3c + 3t = 210
1c = 30
90 + 3t = 210
3t = 120
t = 40
4c + 3t = 250
3c + 3t = 210
7c + 6t = 460
4c + 3t = 250
3c + 3t = 210
1c = 40
120 + 3t = 210
3t = 90
t = 30
A sequence starts:
11, 14, 17, 20
What is the nth term?
What is the 10th term?
Is 158 in the sequence?
8n + 3
83
no
3n + 8
38
yes
3n + 8
35
no
8n + 3
83
yes
