
G8IndexQZZ1
Presentation
•
Mathematics
•
8th Grade
•
Medium
Mrm Thn
Used 2+ times
FREE Resource
19 Slides • 36 Questions
1
2
LIKE TERMS: like terms, in algebra, are terms which have the same variable. This is important when adding and subtracting in algebraic expressions.
Some examples are below:
2a & 8a are LIKE
3a & 7b are UNLIKE
-5c & 3c are LIKE
8yz & 9z are UNLIKE (because '8' has z and y, whilst 9 has only an z)
Remember that 2a = 2 x a (2 multiplied by 'a')
3
xm . xn = xm+n
Examples:
2a x 3a2 = 6a3
Look at this first example - you multiply the '2' and the '3' as normal, then first 'a' is to the power of 1 and the second 'a2' is the power of 2. So 1 + 2 = 3, therefore a3. Put this altogether now, 6a3
5b-3 x 3b2 = 15b-1 = 15/b
a-2b4 x a-4c2 = a-6b4c2
Remember '.' means multiply
4
Multiple Choice
Simplify:
−3y4×4xy3
12xy7
-12xy7
12x7y
-12x7y
5
Multiple Choice
Simplify:
nm2 × 4m
4mn3
4
4mn
4m3n
6
Multiple Choice
Simplify:
4xy × 3x3y2z4
16xyz
−12x4y3z4
12x4y3z4
16x4y3z4
7
xm/xn = xm-n
xm ÷ xn = xm-n
Examples:
9a4/3a2 = 3a2
For this question 3 goes into 9 three times, so you know the answer will start with a 3. Then looking at the 'a' in the question, 4 minus 2 is two, so 3a2 is the answer.
18a2b3/3a6b = 3a-4b2 = 3b2/a4
10cd3/2d3 = 5c
Remember when an expression has a negative power (example 2) you can place that part on the bottom of a fraction, removing the negative from the power.
8
Multiple Choice
Simplify:
3x42x3y4
3x2y4
6xy
2x3y2
2x5y4
9
Multiple Choice
Simplify:
4a3b42a2b3
2ab
ab1
2ab1
8ab
10
Multiple Choice
Simplify:
−4m4p2mnp2
4mn
−m3n
−4m3n
4m3n
11
x0 = 1
x-m = 1/xm
(xm)n = xm.n = xmxn
12
Multiple Choice
Simplify:
(2a2b2)2
2a4b4
4a4b4
−4a4b4
4ab
13
Multiple Choice
Simplify:
(4x2y)3
64x6y3
16x6y3
64x5y4
16x5y4
14
Multiple Choice
Solve:
x0
1
0
x
15
Multiple Choice
Re-arrange this expression:
3x2y−4z3
−3x2y−4z3
y43x2z3
y4z33x2
x2y4z33
16
Product Law: xm . xn = xm+n
Quotient Law: xm/xn = xm÷ xn = xm-n
Other:
x0 = 1
x-m = 1/xm
(xm)n = xm.n = xmxn
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18
19
20
Multiple Choice
(3×a×b)3 Express as a product of powers
28a3b3
33×a3×b3
27ab3
27(ab)3
21
Multiple Choice
(2×3×x)4 Express as a product of powers
8×12×x4
34×24×x2
96x4
24×34×x4
22
23
Multiple Choice
9x2 express as a power of a product
32×x2
(3x)2
(3x2)
9×x×x
24
Multiple Choice
64y3x6 express as a power of a product
82×x2×y3
(4xy)3
(4yx2)3
64×y×y×x×x×x
25
26
Poll
Even power of a negative number is
Negative
Positive
27
Poll
Odd power of a negative number is
Positive
Negative
28
29

30
Poll
How confident do you feel with this topic now?
Still have no idea
Sort of understand
Pretty Good
GREAT
31
32
Multiple Choice
12xy7
-12x7y
-12xy7
12x7y
33
Multiple Choice
4mn3
4mn
-4m3n
4m3n
34
Multiple Choice
16xyz
-12x4y3z4
12x4y3z4
16x4y3z4
35
36
Multiple Choice
3x2y4
2x3y2
6xy
3y52
37
Multiple Choice
2ab
2ab1
ab1
6ab
38
Multiple Choice
4mn
10n
−4m3n
−m3n
39
40
Multiple Choice
2u4v4
-4u4v4
4u4v4
4uv
41
Multiple Choice
4x2y6
4x6y2
4x-2y2
-4x2y2
42
Multiple Choice
128x4y8z4
-128x4y4z4
256x4y8z4
256x4y6z4
43
44
45
Multiple Choice
4xy
xy1
x4y1
xy41
46
Multiple Choice
a9b
4ab
a9b9
ab9
47
Multiple Choice
4m2n2
2m4n3
-2m3n3
2m4n3
48
Multiple Choice
2x
2x21
2x2
2x1
49
Multiple Choice
xx5
y4x5
x4y5
2xy
50
Multiple Choice
16mn5
4n3m5
3m54n
4n
51
Multiple Choice
64xy9
64x9y15
64x9y15
64xy15
52
53
Multiple Choice
2abc
2a2b5c11
2b5a11c2
bca11
54
Multiple Choice
4y3z1
4y3z
4y3z
4yz31
55
Multiple Choice
x2y10z2
z10x2y2
4xy
xyz2
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