# GCSE Maths Foundation - Algebra

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1. a) a - 2 = 9

b)

c) 2c - 3 = 11
a) a = 11

b) b = 15

c) c = 7
2. w = 3 x = 8 y = 7
3. Here is a sequence of numbers

4, 7, 10, 13

a) Find the next term in the sequence

b) Write the rule for continuing the sequence
a) 16

b) +3
4. a) Simplify a + a + a

b) Simplify 8b + 3 - 2b  + 7

c) Solve the equation
a) 3a

b) 6b + 10

c) x = 12
5. 5x = 20

y = -1

3x - y = 13
6. a) Write down an expression for the perimeter in terms of x and y

b) When x = 4cm, the perimeter of the quadrilateral is 68cm. Find the value of y.
a) 14x + 6y

b) y = 2
7. Given that a = 7, b = 3 and c = 5

a) Work out the value of a + 2b + 3c

b) Work out the value of abc

c) abcd = 0
What is the value of d?
a) 28

b) 105

c) d = 0
8. a) Simplify 8a - b + 4a - 2b

b) Multiply out x(x - 7)
a) 12a - 3b

b)
9. a) Solve the equation x + 5 = 20

b) Solve the equation 2y + 3y = 20
a) x = 15

b) y = 4
10. a) Here is a sequence of numbers
8, 15, 22, 29, 36
Write down the next number in the sequence

b) Here is a different sequence of numbers
1, 2, 4, 8, 16
Which numbers are square numbers?
a) 43

b) 1, 4, 16
11. a) Solve the equation

b) Solve the equation 7x - 3 = 60

c) Write down one integer that satisfies the inequality 7y < 63
a) w = 63

b) x = 9

c) Any number bigger than 9
• 9
•  7     4
12. a) Simplify 5c + 3c - c

b) Simplify 7x + 2y - 3x - 5y
a) 7c

b) 4x - 3y
13. a) You are given that 6x = 48
Work out the value of 5x

b) Solve the equation 2(4y - 1) = 18
a) 5x = 40

b) y = 2.5
14. Billy and Mina are investigating sequences that begin with 1, 2, 4, ...

a) Billy says the next term is 8
What rule could Billy be using?

b) Mina says the fourth term is 7.
What rule could she be using?
a) x2

b) + consecutive numbers
15. A rectangle has an area of  and a perimeter of 26cm. Find the length and width of the rectangle.
Length = 8cm

Width = 5cm
16. Solve these equations:

a) 4x - 7 = 5

b) 2(y + 5) 28

c) 7z + 2 = 9 - 3z
a) x = 3

b) y = 9

c) 7/10
17. The sum of two numbers is 15.
The difference of the same two number si 3.
What is the product of the two numbers
54

9 and 6
18. 6
19. 5(x + 2)
 Author: HLHSMaths ID: 228588 Card Set: GCSE Maths Foundation - Algebra Updated: 2013-07-30 12:35:44 Tags: GCSE Maths Foundation Algebra Folders: Description: GCSE Maths Foundation - Algebra Show Answers: