Expanding Single Brackets
Question 1:
Expand the following:
1(a) 2(e-8)
ANSWER: Simple Text Answer
2e-16
Workings: 2(e-8)= (2\times e)-(2 \times 8) = 2e - 16
Marks = 1
1(b) 4(c-6)
ANSWER: Simple Text Answer
4c-24
Workings: 4(c-6) = (4\times c)- (4\times 6) = 4c -24
Marks = 1
1(c) 4(d+7)
ANSWER: Simple Text Answer
4d+28
Workings: 4(d+7) = (4\times d)+ (4\times 7) = 4d +28
Marks = 1
1(d) 6(t+7)
ANSWER: Simple Text Answer
6t + 42
Workings: 6(t+7) = (6\times t)+ (t\times 7) = 6t + 42
Marks = 1
1(e) 2(3p-8)
ANSWER: Simple Text Answer
6p - 16
Workings: 2(3p-8) = (2\times 3p) - (2\times 8 ) = 6p -16
Marks = 1
Question 2:
Expand the following:
2(a) 2p(p-9)
ANSWER: Multiple Choice (Type 1)
A: 2p^2 -18p
B: 2p-18p
C: 2p^2-18
D: 2p-9p
Workings: 2p(p-9) = 2p^2 -18p
Marks = 1
2(b) 6a(a+4)
ANSWER: Multiple Choice (Type 1)
A: 7a^2+10a
B: 6a^2+24
C: 6a^2+10a
D: 6a^2+24a
Workings: 6a(a+4) = (6a \times a) + (6a \times 4)
Marks = 1
2(c) 5h(3h-2)
ANSWER: Multiple Choice (Type 1)
A: 2h^2+3h
B: 15h^2-10
C: 15h^2-10h
D: 8h^2-10h
Workings: 5h(3h-2) = (5h\times 3h) - (5h \times 2 )
Marks = 1
2(d) 2e(2e+9)
ANSWER: Multiple Choice (Type 1)
A: 4e^2+18e
B: 4e^2 + 11e
C: 4e +18e
D: 4e^2 +18
Workings: 2e(2e+9) = (2e\times 2e) - (2e \times 9)
Marks = 1
2(e) 2p(5p-4)
ANSWER: Multiple Choice (Type 1)
A: 10p-8
B: 10p^2-8p
C: 7p^2-8p
D: 7p^2-6p
Workings: 2p(5p-4) = (2p\times 5p) - (2p \times 4)
Marks = 1
Question 3:
Which of the following is an expanded form of:
3(a) 5(3a-8)
ANSWER: Multiple Choice (Type 1)
A: 15a-13
B: 8a-3
C: 15a-40
D: 25a
Workings: 5(3a-8) = 15a-40
Marks = 1
3(b) 5x(3x +10y)
ANSWER: Multiple Choice (Type 1)
A: 8x^2 + 50xy
B: 15x^2 + 50xy
C: 15x^2 + 15xy
D: 8x^2 + 50y
Workings: 5x(3x +10y) = 15x^2 + 50xy
Marks = 1
3(c) 8n(3n^2+3n)
ANSWER: Multiple Choice (Type 1)
A: 24n^2
B: 24n^2+24
C: n^2(n+24)
D: 24n^2 + 24n^3
Workings: 8n(3n^2+3n) = 24n^2 + 24n^3
Marks = 1
3(d) xy(x+4)
ANSWER: Multiple Choice (Type 1)
A: x^2 - 2yx -24
B: x^2y + 4xy
C: yx^2-10x-24
D: x^2 -24
Workings: xy(x+4) = x^2y+ 4xy
Marks = 1
Question 4:
Which of the following is an expanded form of:
4(a) m(m+5) + m(m+7)
ANSWER: Multiple Choice (Type 1)
A: 2m^2 + 35
B: 2m^2 + 12
C: 2m+12
D: 2m^2 + 12m
Workings: m(m+5) + m(m+7) = m^2+5m + m^2 + 7m = 2m^2 + 12m
Marks = 1
4(b) a(t+4) - a(4-3t)
ANSWER: Multiple Choice (Type 1)
A: 2m^2 + 35
B: 2m^2 + 12
C: 2m+12
D: 2m^2 + 12m
Workings: a(t+4) - a(4-3t) = (at +4a) - (4a -3at) = 4at
Marks = 1
4(c) 4a^3(7ab - 8 b^2)
ANSWER: Multiple Choice (Type 1)
A: 28a^4b - 32a&3b^2
B: 28a^4b - 32a&3b^2
C: 28a^4b - 32a&3b^2
D: 28a^4b - 32a&3b^2
Workings: 4a^3(7ab - 8 b^2) = 28a^4b - 32a&3b^2
Marks = 1