Quadratic Expressions Worksheets Page 6
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36number and algebra
4(2x − 7) (2x + 7)
b
1
Write the expression.
b
2
Expand using the difference of two squares rule.
= 4[(2x)
− (7)
2
2
]
= 4(4x
− 49)
2
3
Multiply by 4.
= 16x
− 196
2
Exercise 7.2 Expanding algebraic expressions
IndIVIdual PaTHWaYS
reFleCTIOn
⬛
PraCTISe
⬛
COnSOlIdaTe
⬛
maSTer
Why does the difference
Questions:
Questions:
Questions:
of two squares rule have
1a–f, 2a–h, 3a–d, 5a–d, 6a,
1d–l, 2d–j, 3c–f, 4a–c, 5c–f, 6,
1d–l, 2f–l, 3e–i, 4, 5e–h, 6, 7,
that name?
8a–d, 9a–d, 10a–f, 11–14
7, 8c–f, 9c–f, 10, 11–17, 19
8g–l, 9e–i, 10–20
⬛
⬛
⬛
Individual pathway interactivity
int-4596
FluenCY
Expand each of the following.
1
2(x + 3)
4(x − 5)
3(7 − x)
a
b
c
−(x + 3)
x(x + 2)
2x(x − 4)
d
e
f
3x(5x − 2)
5x(2 − 3x)
2x(4x + 1)
g
h
i
doc‐5244
doc‐5244
doc‐5244
(2x − 3)
(2x − 1)
(3x + 4)
2
2
2
2x
3x
5x
j
k
l
Expand each of the following.
2
WE1
doc‐5245
doc‐5245
doc‐5245
(x + 3) (x − 4)
(x + 1) (x − 3)
(x − 7) (x + 2)
a
b
c
(x − 1) (x − 5)
(2 − x) (x + 3)
(x − 4) (x − 2)
d
e
f
(2x − 3) (x − 7)
(x − 1) (3x + 2)
(3x − 1) (2x − 5)
g
h
i
doc‐5246
doc‐5246
doc‐5246
(3 − 2x) (7 − x)
(5 − 2x) (3 + 4x)
(11 − 3x) (10 + 7x)
j
k
l
Expand each of the following.
3
WE2
2(x + 1) (x − 3)
4(2x + 1) (x − 4)
−2(x + 1) (x − 7)
a
b
c
2x(x − 1) (x + 1)
3x(x − 5) (x + 5)
6x(x − 3) (x + 3)
d
e
f
−2x(3 − x) (x − 3)
−5x(2 − x) (x − 4)
6x(x + 5) (4 − x)
g
h
i
Expand each of the following.
4
(x − 1) (x + 1) (x + 2)
(x − 3) (x − 1) (x + 2)
a
b
(x − 5) (x + 1) (x − 1)
(x − 1) (x − 2) (x − 3)
c
d
(2x − 1) (x + 1) (x − 4)
(3x + 1) (2x − 1) (x − 1)
e
f
(x − 3) (x + 1) + !3x
( !2 − 3x) ( !3 + 2x) − !5x
Expand each of the following and simplify.
5
(x + 2) (x − 1) − 2x
3x − (2x − 5) (x + 2)
a
b
(2x − 3) (x + 1) + (3x + 1) (x − 2)
(3 − 2x) (2x − 1) + (4x − 5) (x + 4)
c
d
(x + 1) (x − 7) − (x + 2) (x − 3)
(x − 2) (x − 5) − (x − 1) (x − 4)
e
f
g
h
(3x − 1) (2x + 4) expands to:
6
a
MC
+ 10x − 4
− 24x + 3
+ 2x − 4
2
2
2
6x
5x
3x
a
b
C
− 10x − 4
− 4
2
2
6x
6x
d
e
273
Topic 7 • Quadratic expressions
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