Download Skills practice A - Dynamic Learning

Strand 4 Algebraic methods Unit 4 Solve simultaneous equations using elimination Band h
Skills practice A
1 Copy and complete this solution.
1
4x + 5y = 22
6x − 5y = 8
2
Add
10x + 0 =
10x =
x=
Substitute x =
into equation 1
4x + 5y = 22
4×
+ 5y = 22
+ 5y = 22
5y =
y=
Solution: x =
and y =
Now check your answer.
2 Look at this pair of simultaneous equations.
2p + 4q = 14
p − 4q = 1
a What does 3p equal?
b What are the values of p and q?
3 Simplify these expressions.
a 3x – 5x
b 2x + (–2x)
c 2x – (–2x)
d (–5x) – (–5x)
4 Solve these simultaneous equations by adding the two equations.
a 4x + y = 12
b 2x + y = 12
3x – y = 2
d 3x + y = 18
x–y=2
x–y=3
e x–y=2
3x + y = 18
14x – 3y = 43
2x + 3y = 37
f 4x + 2y = 28
x – 2y = 2
c
5 Solve these simultaneous equations by subtracting one from the other.
a 4a + 3b = 13
b 3x + 5y = 29
c
d
2a + 3b = 11
8c + 4d = 28
6c + 4d = 26
e
3x + 3y = 21
5s + 3t = 41
5s + 6t = 47
© Hodder & Stoughton Ltd 2014
5p + 4r = 23
3p + 4r = 17
f 12f + 4g = 36
12f + 6g = 42
1
Strand 4 Algebraic methods Unit 4 Solve simultaneous equations using elimination Band h
6 Copy and complete this solution.
1
Solve 2x + 3y = 12
x−y=1
1
3× 2
2
2x + 3y = 12
3x − 3y =
Add
= 15
x=
Substitute x =
into equation 1
2x + 3y = 12
2×
+ 3y = 12
+ 3y = 12
3y = 12 −
3y =
y=
Solution: x =
and y =
7 Solve these simultaneous equations.
a 6x – 3y = 12
b
d
2
4x – 3y = 6
4m + 2n = 34
6m – 2n = 16
3a + 6b = 24
3a + 4b = 18
e 6s – 2t = 0
4s – 2t = 0
3e + 2f = 10
3e – f = 4
f 5x – 2y = 8
7x + 2y = 16
c
© Hodder & Stoughton Ltd 2014