Here is a puzzle but it is also very useful, now or later, if you want to factorise a trinomial.

What are 2 numbers that multiply to give 8 and add to give 6? this is an easy puzzle most of you could do it with your eyes closed.

If people cooperate with answers I will slowly include harder ones sometimes.

What are 2 numbers that multiply to give 8 and add to give 6? this is an easy puzzle most of you could do it with your eyes closed.

If people cooperate with answers I will slowly include harder ones sometimes.

Melody Jan 5, 2014

#2**0 **

Hard one!

The sum of a 5-term arithmetic sequence is 100. If all terms are positive integers, what is the smallest possible value for a term?

The sum of a 5-term arithmetic sequence is 100. If all terms are positive integers, what is the smallest possible value for a term?

Guest Jan 5, 2014

#3**0 **

Soup ยป Sun Jan 05, 2014 7:26 am

Hard one!

The sum of a 5-term arithmetic sequence is 100. If all terms are positive integers, what is the smallest possible value for a term?

******

2 + 11 + 20 + 29 + 38 =100

(difference of 9)

possible value for a term is 2

Hard one!

The sum of a 5-term arithmetic sequence is 100. If all terms are positive integers, what is the smallest possible value for a term?

******

2 + 11 + 20 + 29 + 38 =100

(difference of 9)

possible value for a term is 2

Puzzled Jan 5, 2014

#4**0 **

EXCELLENT WORK FROM

WEIRD

SOUP

and

PUZZLED

I'm impressed!

Soup, just a little suggestion, maybe you could have explained what an AP was so that some of our younger bright sparks could have a go.

I am really pleased that you posted this puzzle and I'm glad that Soup gave you a reasonable quick reply. thanks to both of you.

--------------------------------------------------------------------------------------

A not very hard puzzle. So long as you have done some negative numbers at school you could have a proper go at this one.

Weird, you gave a great answer last time, can you do this one?

**What are 2 numbers that add to 0 and multiply to -9**

WEIRD

SOUP

and

PUZZLED

I'm impressed!

Soup, just a little suggestion, maybe you could have explained what an AP was so that some of our younger bright sparks could have a go.

I am really pleased that you posted this puzzle and I'm glad that Soup gave you a reasonable quick reply. thanks to both of you.

--------------------------------------------------------------------------------------

A not very hard puzzle. So long as you have done some negative numbers at school you could have a proper go at this one.

Weird, you gave a great answer last time, can you do this one?

Melody Jan 6, 2014

#6**0 **

Thanks special, well done.

if 2 number multiply to give a positive number what can you tell me about their signs?

if 2 number multiply to give a positive number what can you tell me about their signs?

Melody Jan 6, 2014

#9**0 **

Excellent answer mystery songbird

How about this question. I am looking for 2 numbers.

they multiply to give 12 and add to give -7

what would the signs be, and what would the numbers be?

How about this question. I am looking for 2 numbers.

they multiply to give 12 and add to give -7

what would the signs be, and what would the numbers be?

Melody Jan 7, 2014

#10**0 **

Well because we know that a negative times a negative is a positive we can say negative 4 times negative 3. This would get the positive 12, but when added it would equal negative 7.

or

-4 * -3 = 12

-4 + -3 = -7

These questions could also help to factor out binomials into their polynomial forms before combined like terms for instance, using some of the same terms:

Say this is your binomial x^2 - 16 to un-combine like terms you would need to find the two numbers that when multiplyed receive 16 and when added receive 0.

You could work it out completely into (x-4)(x+4) or the polynomial x^2 - 4x + 4x - 16 I'm assuming this is some of what Melody is helping out with, I hope this was helpful to someone lol(:

Melody:Excellent answer mystery songbird

How about this question. I am looking for 2 numbers.

they multiply to give 12 and add to give -7

what would the signs be, and what would the numbers be?

Well because we know that a negative times a negative is a positive we can say negative 4 times negative 3. This would get the positive 12, but when added it would equal negative 7.

or

-4 * -3 = 12

-4 + -3 = -7

These questions could also help to factor out binomials into their polynomial forms before combined like terms for instance, using some of the same terms:

Say this is your binomial x^2 - 16 to un-combine like terms you would need to find the two numbers that when multiplyed receive 16 and when added receive 0.

You could work it out completely into (x-4)(x+4) or the polynomial x^2 - 4x + 4x - 16 I'm assuming this is some of what Melody is helping out with, I hope this was helpful to someone lol(:

WarpedTourGirl Jan 7, 2014

#11**0 **

*

Thank you Warped Tour Girl,

That is exactly what i was thinking

-----------------------------------------------------------------

*

I would really like for one of our younger students to answer this.

This is a diagram of rectangular yards. They are adjacent which means they share a fence. They are measured in metres.

The area of anything is how many squares will fit inside.

The areas of these yards will be measured in metres squared (or square metres) m^{2}

a) I want you to tell me the area of each of the yards separately

then

b) I want you to tell me the area of both the yards put together.

You can do this a few different ways. How many ways can you think of ?

__So__ I want the answers but I want to know how you got the answers. More than one method would be good.

140118 adjacent rectangles.JPG

Thank you Warped Tour Girl,

That is exactly what i was thinking

-----------------------------------------------------------------

*

I would really like for one of our younger students to answer this.

This is a diagram of rectangular yards. They are adjacent which means they share a fence. They are measured in metres.

The area of anything is how many squares will fit inside.

The areas of these yards will be measured in metres squared (or square metres) m

a) I want you to tell me the area of each of the yards separately

then

b) I want you to tell me the area of both the yards put together.

You can do this a few different ways. How many ways can you think of ?

140118 adjacent rectangles.JPG

Melody Jan 7, 2014

#12**0 **

How about this question. I am looking for 2 numbers.

they multiply to give 12 and add to give -7

what would the signs be, and what would the numbers be?

The number are

-3 + -4 = -7

-3 * -4 = -12

Should I put () around these numbers? It looks funny when I type them with out them.

they multiply to give 12 and add to give -7

what would the signs be, and what would the numbers be?

The number are

-3 + -4 = -7

-3 * -4 = -12

Should I put () around these numbers? It looks funny when I type them with out them.

Puzzled Jan 9, 2014

#14**0 **

The areas of these yards will be measured in metres squared (or square metres) m2

a) I want you to tell me the area of each of the yards separately

then

b) I want you to tell me the area of both the yards put together.

You can do this a few different ways. How many ways can you think of ?

So I want the answers but I want to know how you got the answers. More than one method would be good

Big yard is 5*4 = 20 square meters

small yard is 3*5 = 15 square meters

15 + 20 square meters is 35 square meters total

or

(5+7)*5 = 35 square meters total

I thougt meters squared was different than square meters

because if it was 35 meters square then it would be 35*35 = 1225 square meters

a) I want you to tell me the area of each of the yards separately

then

b) I want you to tell me the area of both the yards put together.

You can do this a few different ways. How many ways can you think of ?

So I want the answers but I want to know how you got the answers. More than one method would be good

Big yard is 5*4 = 20 square meters

small yard is 3*5 = 15 square meters

15 + 20 square meters is 35 square meters total

or

(5+7)*5 = 35 square meters total

I thougt meters squared was different than square meters

because if it was 35 meters square then it would be 35*35 = 1225 square meters

Puzzled Jan 9, 2014

#15**0 **

I thougt meters squared was different than square meters

because if it was 35 meters square then it would be 35*35 = 1225 square meters

You have to be very careful Puzzled,

They are both the same

think about if 35 metres square is written 35m^{2}.

that wouldn't be a square with a side length of 35m would it! that might be a rectangle 5m by 7m.

If you are talking about a square with a side length of 35m you need to use the extra words.

because if it was 35 meters square then it would be 35*35 = 1225 square meters

You have to be very careful Puzzled,

They are both the same

think about if 35 metres square is written 35m

that wouldn't be a square with a side length of 35m would it! that might be a rectangle 5m by 7m.

If you are talking about a square with a side length of 35m you need to use the extra words.

Melody Jan 10, 2014