Collecting Like Terms
Question 1:
Write the following expressions in their simplest form:
1(a) a+2a+3a
ANSWER: Simple Text Answer
6a
Workings: a+2a+3a=6a
Marks = 1
1(b) 3b+4b+5b+3b
ANSWER: Simple Text Answer
15b
Workings: 3b+4b+5b+3b=15b
Marks = 1
1(c) 4c+7c+5c+2c
ANSWER: Simple Text Answer
18c
Workings: 4c+7c+5c+2c=18c
Marks = 1
1(d) 6d+4d+3d+6d
ANSWER: Simple Text Answer
19d
Workings: 6d+4d+3d+6d=19d
Marks = 1
1(e) 9i+10i+7i
ANSWER: Simple Text Answer
26i
Workings: 9i+10i+7i=26i
Marks = 1
Question 2:
Write the following expressions in their simplest form:
2(a) a-2a+3a
ANSWER: Simple Text Answer
2a
Workings: a-2a+3a=2a
Marks = 1
2(b) 3b+4b+5b-3b
ANSWER: Simple Text Answer
9b
Workings: 3b+4b+5b-3b =9b
Marks = 1
2(c) 4c+7c-5c+2c
ANSWER: Simple Text Answer
8c
Workings: 4c+7c-5c+2c
Marks = 1
2(d) [Latex]6d-4d+3d+6d[/Latex]
ANSWER: Simple Text Answer
11d
Workings: 6d-4d+3d+6d = 11d
Marks = 1
2(e) 9i+10i-7i
ANSWER: Simple Text Answer
12i
Workings: 9i+10i-7i = 12i
Marks = 1
Question 3:
Write the following expressions in their simplest form:
3(a) a+5a-3a+4b+3b
ANSWER: Simple Text Answer
3a+7b
Workings: a+5a-3a+4b+3b= (a+5a-3a)+(4b+3b) = 3a+7b
Marks = 1
3(b) 5c+6c+4d+3d
ANSWER: Simple Text Answer
11c+7d
Workings: 5c+6c+4d+3d=(5c+6c)+(4d+3d) =11c+d
Marks = 1
3(c) 7? − 5? + 4? − 5? + 8? + 2?
ANSWER: Simple Text Answer
-2e-15f
Workings: 7? − 5? + 4? − 5? + 8? + 2?= (7? − 5? + 4?) − (5? + 8? + 2?)=-2e +15f
Marks = 1
3(d) 6? + 8? − 4? − 2? + 10?
ANSWER: Simple Text Answer
18l
Workings: 6? + 8? − 4? − 2? + 10? = (6k-4k-2k)+(8l+10l)=18l
Marks = 1
3(e) 9? − 7? + 2? − 11? + 7?
ANSWER: Simple Text Answer
2a
Workings: 9? − 7? + 2? − 11? + 7? = (11u-11u)+(-7t+7t)=0
Marks = 1
Question 4:
Write the following expressions in their simplest form:
4(a) 6x+3x-2x+10
ANSWER: Simple Text Answer
7x+10
Workings: 6x+3x-2x+10=9x+10
Marks = 1
4(b) 11x-20x+10+20
ANSWER: Simple Text Answer
11x-20x +10+20
Workings: 11x-20x+10+20=
Marks = 1
4(c) -3x-6x-4-3x
ANSWER: Simple Text Answer
-12x -4
Workings: -3x-6x-4-3x = -12x-4
Marks = 1
4(d) 3x+4y+2x+6y+10
ANSWER: Simple Text Answer
5x+10y+10
Workings: 3x+4y+2x+6y+10=(3x+2x)+(4y+10y)+10=5x+14
Marks = 1
4(e) −4? + 10? + 4? − 5? + 20 − 1
ANSWER: Simple Text Answer
-6y+20
Workings: -4x+1-y+4x-5y+20-1=(-4x+4x)+(-y-5y)+(1+20-1)=-6y+20
Marks = 1
Question 5:
For the following shapes, write an expression, in its simplest form, for the perimeter of the shape.
5(a)
ANSWER: Simple Text Answer
6x-14
Workings: 2(2x-10)+2(x+3)=4x-20+2x+6=6x-14
Marks = 2
5(b)
ANSWER: Simple Text Answer
10y-15
Workings: 5(2y-3)=10y-15
Marks = 2