Year 8 Term 1 Checkpoint Revision

Question 1

what is the first index law?

Answer 1

(product law) When you retain the base and add the powers.

e.g. a^m * a^n= a^m+n

Question 2

what is the second index law?

Answer 2

(dividing power) when you retain the base and subtract the powers

e.g. 2^6/2^4= 2^2

Question 3

what is the third index law

Answer 3

(the zero power) when a^0=1

e.g. 19a^5 e^0= (19a^5*1=) 19a^5

Question 4

what is the fourth index law?

Answer 4

when you retain the base and multiply the powers

Question 5

(4^3)^3

Answer 5

4^9

Question 6

(6^5)^4

Answer 6

6^20

Question 7

when adding or subtracting integers, if the symbols are the same, the outcome will be:

Answer 7

a positive

e.g. 7+-4 = 7-4=3
6- -5 = 6+5=11

Question 8

what is square root?

Answer 8

square numbers in reverse

Question 9

when dividing integers, if the symbols are the same, the outcome will be a:

Answer 9

positive

e.g. 6/2= 3
-10/-2=5

Question 10

when dividing integers, if the symbols are diffrent, the outcome will be a:

Answer 10

negative

e.g. -10/5= -2
50/-10= -5

Question 11

what is a composite number?

Answer 11

a number that has factors other than 1 and itself.

e.g. factors of 24

Question 12

when multiplying integers, if the symbols are different (e.g. -a * +a) the outcome will be:

Answer 12

a negative

e.g. 6-4= -24
-87= -56

Question 13

when multiplying integers, if the symbols are the same, the outome will be:

Answer 13

a positive

Question 14

evaluate:
(3^2/5^3) ^3

Answer 14

=3^23/5^33
=3^6/5^9

Question 15

what is the fifth index law

Answer 15

(AKA negative indices) if an equation in brackets is raised to a power, multiply all the values by the power.

e.g. (2a^5/d^2)^3
=2^13 * a^53/d^2*3
=2^3 * a^15/d^6
=8a^15/d^6

Question 16

3p^0+19=

Answer 16

22
why?

3p^0+19=3 * 1+19=22

Question 17

7c^0+14m^0=

Answer 17

21
why?

=7(1) + 14(1)
=21