Ultimate Algebra Revision Mat 2
1) Expand and simplify:
a. 4(x + 2) + 3(x + 7)
b. 3(4x + 9) + 2(3x − 1)
c. 7(3x + y) − 2(x + 4y)
2) Expand and simplify:
3) Factorise fully:
a. 3x + 9
a. (x + 5)(x + 11)
b. 10x – 15
b. (x + 3)(x − 2)
c. 21x2 + 14x
c. (3x − 1)(2x − 3)
d. 10x2y + 12xy2 − 28x
d. (2x + 4)2
4) Factorise fully:
a. x2 + 7x + 10
2
b. x − 9
c. 4x2 − 25
d. x2 + x − 20
5) Fill in the missing gaps in this table. Leave all your answers in
expanded form.
x
3
x+1
12
6x2 − 8x
2x
x2 + 3x + 2
6) Alexa says that 14x2 + 20x
factorises to 2x(7x + 10x).
Explain the common mistake
she has made.
Ultimate Algebra Revision Mat 2 Answers
1) Expand and simplify:
2) Expand and simplify:
a. 4(x + 2) + 3(x + 7)
b. 3(4x + 9) + 2(3x − 1)
c. 7(3x + y) − 2(x + 4y)
7x + 29
18x + 25
19x − y
4) Factorise fully:
3) Factorise fully:
a. (x + 5)(x + 11)
x2 + 16x + 55
a. 3x + 9
3(x + 3)
b. (x + 3)(x − 2)
x2 + x − 6
b. 10x – 15
5(2x − 3)
c. (3x − 1)(2x − 3)
6x2 − 11x + 3
c. 21x2 + 14x
7x(3x + 2)
d. (2x + 4)2
4x2 + 16x + 16
d. 10x2y + 12xy2 − 28x
2x(5xy + 6y2 − 14)
5) Fill in the missing gaps in this table. Leave all your answers in
expanded form.
a. x + 7x + 10
(x + 5)(x + 2)
x
4
x+1
3x – 4
b. x2 − 9
(x + 3)(x − 3)
3
12
3x + 3
9x − 12
6) Alexa says that 14x2 + 20x
factorises to 2x(7x + 10x).
Explain the common mistake
she has made.
c. 4x2 − 25
(2x + 5)(2x − 5)
2x
8x
2x2 + 2x
6x2 − 8x
The correct answer is
d. x2 + x − 20
(x + 5)(x − 4)
2
2x(7x + 10)
x+2
4x + 8
x2 + 3x + 2
3x2 + 2x − 8
since 2x × 10x = 20x2