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95 Cards in this Set

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kayla: expanding polynomials by monomials: 6m+3(2m+5)+7=
6m+6m+15+7= 12m+22
kayla: multiplying terms: area of square 1cm by 1cm
=1cm squared
kayla: terms/definitions: a letter used to represent a value that can change or vary
in the expression 2t+3 the t is called a variable
kayla: solving equations: 5x=7.5
7.5/5=1.5
x=1.5
kayla: like terms: 3x+1x+4
simplify---> 4x+4
kayla: Bedmas: (2+3)+5
(2+3)+5
(5)+5=10
kayla: polynomials:add/subtract:
(3x^2+6)+(12-2x)
-Drop brackets 3x^2+6+12-2x
collect like terms 3x^2-2x +6+12
add 3x^2 - 2x + 18
kayla: adding and subtracting like terms: 17m+4m-2m=
4m-2m = 2m
17m+2m = 19m
kayla: add/subract like terms: 6v+10v+ 14v=
6v+10v=16v
16v+14v = 30v
kayla: monomial X monomial: 5cmX2cm=
10cm squared
kayla: like terms: (67n+ 2n) X 1n
=(69n) X 1n
= 69n^2
antonee: 5x(4x+6)
multiply into the ( ) 20x^2+30x
antonee: (5x+2x)+(8x-4)
drop the ( ) 5x+2x+8x-4 gather the like terms 5x+2x+8x-4 add the like terms 15x-4
antonee: (7x)(4x)
()'s next to ()'s just means multiply
7 by 4 = 28
x by x = x^2
answer = 28x^2
Brittany: what term is like 3x
just find another number but it has to have the x example 2x or 4x.
Brittany: solve (7x+8)-(-6+9)
change subtraction to addition then change every sign in the second set of brackets drop brackets simplify 7x+8+6-9= 7x+8+6-9=7x+14-9=7x+5
Brittany: (7+9x)+(3+8)
drop brackets collect liked terms then simplify. 9x+7+3+8= 9x+18
Brittany: 3x(7x+9)
3x(7x+9)= 21x^2+27x
Brittany: 6+9(27-8)
what you have to do here is do the brackets first which means 27-8=19; then multiply by 9...9x19=171 then add 6... 171+6 = 177
Brittany: 9x(28+84x-25+16x)
what you have to do here is to collect like terms inside the brackets (84x+16x +28-25)=(100x+3)
then muliply that by 9x(100x+3)=900x^2+27x
Brittany: what term is like 5x^2?
any number can be in the term but the x^2 has to be the same
eg. -3x^2 or 7x^2
trisha: (2x+4)+(6x-2)
2x+4+6x-2... drop brackets
2x+6x=8x...collect like terms
4-2=2
and solved=8x+2
trisha: what is the constant in this expression? 3x^2+6
the constant in the expression is the 6
trisha: 5x(2+8x)
5x(2+8x).... 5x(2)=10x... 5x(8x)=40x^2
answer = 40x^2 + 10x
trisha: 4+7+3x+6x+2
collect like terms 4+7+2=13... 3x+6x=9x
answer = 9x+13
trisha: (9x)x(6x)
9x()6x=54x^2
drop brackets then multplied
trisha: 5x+12+7=18
simplify 12+7=19
subtract 19 from both sides...5x+19-19 =18-19
simplify........5x=-1
divide by 5 /5 /5
answer x=-1/5
trisha: 7(3+1)
3+1=4 do brackets first
then multiply 7x(4)=28
trisha: 8(4+6+3)+(5+2)
4+6=10+3=13 5+2=7 8x13=104+7=111
trisha: 4x^2+12 what is the variable of this question?
the variable of this question is the x...the letter is always the variable
trisha: list the ‘math terms’ in the equation 3x^2+15
the 3 is the coefficient; the x is the variable; 2 is the exponent; the 15 is the constant
Jodi: Multiply (4)(9x)
Multiply 4 by 9 multiply the x on the simplified answer =36x
Jodi: simplify (3x+6) - (-4+9)
Change the subtraction operation to addition and change the signs of the right bracket...3x+6+4-9
add like terms...3x + 1
Jodi: In this equation what would be the exponent? 8b^5 - 2= 3
The exponent is the little number in the top right corner of a base. So the exponent in this equation would be 5.
Jodi: simplify (8 - 4y)+(3y - 7)
First remove the brackets...
8-4y+3y-7
collect like terms...-4y+3y+8-7
add/subtract...-1y+1
Jodi: What is the constant? 7x^3 - 4
The constant would not have a variable so the constant in this expression would
be - 4.
Jodi: simplify (5+2x) + (4x - 2)
You would drop the brackets 5+2x+4x - 2 Group like terms 2x+4x +5-2 then simplify...6x+3
Jodi: Simplify 2(5x+4)
Multiply (2)(5x) and (2)(4) State the answer 10x+8
Jodi: Solve (2x+5) - (- 3+7)
Change the subtraction to addition then change all signs in the second bracket to their oppisite (2x+5)+(3 - 7) Drop the brackets 2x+5+3 - 7 Group like terms 2x +5+3-7 Simplify 2x+1
Jodi: Multiply (2x)(5x)
Multiply 2 by 5 Multiply x by x Simplify 10x^2
Jodi: Solve for x
5x+7 = 40
Subtract 7 from both sides 7-7=0...40-7=33
5x/5 = 33/5
x = 6.6
Jodi: Add the like terms 3x+5 - 8x+7
Group the like terms together 3x-8x + 5+7
Simplify -5x+12
Jodi: Expand 5(2x+3)
Multiply 5 by 2x Multiply 5 by 3 Simplify 10x+15
Jodi: Multiply (4)(9x)
Multiply 4 by 9 multiply the x to the simplified answer =36x
Jodi: Solve (3x+6) - (-4+9)
Change the subtraction operation to addition then change the sign in the right bracket... 3x+6+4-9
add/subtract like terms...3x+1
Jodi: In this equation what would be the exponent? 8b^5 - 2= 3
The exponent is the little number in the top right corner of a term. So the exponent in this equation would be 5.
Jodi: simplify (8 - 4y)+(3y - 7)
First drop the brackets 8-4y+3y-7
collect like terms...-4y+3y+8-7
simplify...-1y+1
sandra: (3x + 8x) + (5x - 1)
-re write question+drop brackets.. 3x + 8x + 5x - 1 -collect like terms.....(already done) -simplify= 16x - 1
sandra: 3x + 5 - 1x what's the variable in this expression?
the varible is x.
sandra: 6 + 3 (10 / (-4) ) ^2
BEDMAS~ 6+3 (10/(-4) ^2
= 6+3 (-2.5) ^2
= 6+3 (-2.5)(-2.5)
= 6+3 x (6.25)
= 6 + 12.5
= 18.5
sandra: (5x) x (2x)
10x^2
sandra: 3x (5x + 7)
(3x) x (5x) = 15x^2...(3x) x (7) = 21x
answer...15x^2 + 21x
sandra: simplify
2x + 5 + 8x^2 - 1x + 3
-Gather like terms .. 8x^2+2x-x+5+3
-Then simplify...8x^2+1x+8
sandra: solve
2x + 5 = 10
2x + 5 = 10 subtract from both sides...5 - 5 and 10 -5
simplify 2x = 5
2x/2 = 5/2
x = 2.5
dakota: define what an exponent does?
it tells you to multiply the base number by it's self
dakota:
expand 6x(2x+4x^2)
6x times 2x= 12x^2
6x times 4x^2 = 24x^3
answer= 12x^2 + 24x^3
dakota
simplify (2x^2+6x)+(6x+2x^2)
2x^2+6x+6x+2x^2
2x^2+2x^2 + 6x+6x like terms
simplify...=4x^2+12x
dakota
multiply (6x^2)x(5x^2)
6x^2 times 5x^2= 30x^4
dakota
simplify (6x+5)-(6x+4)
6x+5+-6x-4
=6x-6x + 5-4
=0x + 1
=1
dakota:
2+(7X6)-4
(7X6)=42
42-4=38
2+38=40
dakota
6X+4X+5-6+5X
6X+5X+4X+5-6
=15x - 1
dakota
(10x+3)+(-14-11x)
10x+3-14-11x
=10x-11x +3-14
=-1x-11
dakota
(12x+12)-(4+11x)
=(12x+12)+(-4-11x)
=12x-11x +12-4
=1x + 8
92x+2)+(4x)
2x+2+4x2x+4x+26x+2
chevy
34+5+6x
34+5=39+6x
=39+6x
chevy
3x+5+8x+7
3x+8x+5+7
=11x+12
chevy
22+1+2x
22+1=23+2x
= 23+2x
chevy
15+15-5+3x
15+15-5+3x
=25+3x
chevy
11-5+1+1x
11-5+1+1x
=7+1x
nick 1x^2(4x+9)
(1x^2)(4x)+(1x^2)(9)=4x^3+9x^2
nick (2x+2)+(4x)
2x+2+4x
=2x+4x+2
=6x+2
nick 34+5+6x
34+5=39+6x
=39+6x
nick 3x+5+8x+7
3x+8x+5+7
=11x+12
nick 22+1+2x
22+1=23+2x
= 23+2x
nick 15+15-5+3x
15+15-5+3x
=25+3x
nick 11-5+1+1x
11-5+1+1x
=7+1x
andrew (3x^2-1x)-(+4x+1x^2)
(3x^2-1x)-(+4x+1x^2) drop thebrackets 3x^2-1x-+4x-1x^2 a + and a- make a - than gather the like terms 3x^2-1x^2
-1x-4x than simplify
answer = 2x^2-5x
andrew (x^2+3x)+(-1x+3x)
(x^2+3x)+(-1x+3x) drop the brackets x^2+3x+-1x+3x + and a - makes a -than gather the like terms 3x-1x+3x+x^2 than simplify... answer =5x+x^2
andrew 4x^2-7+x identify the exponentcoefficentvariable and the constant
x=variable
2=exponent
-7=constant
4=coefficent
andrew: (1+3x)+(4x+2)
drop brackets 1 + 3x + 4x + 2
collect like terms 3x+4x +1+2
answer = 7x + 3
andrew
1+2(4+6)+1-19
(4+6)=10
2(10) = 20
1+20+1-19 = 3
andrew
1x^2+3
name the 'math tems' in the expression
2=exponent
1=coefficent
x=variable
3=constant
andrew:
(1x+7)-(+7+9x)
(1x+7)-(+7+9x) drop the brackets 1x+7- +7+9x a + and a- make a - than gather the like terms 1x-9x+7-7 then simplify
=-8x^2
andrew:
(100x-72)+(-90x+81)
(100x-72)+(-90x+81)drop the brackets 100x-72+-90x+81a + and a- make a - than gather the like terms 100x-90x-72+81than simplify=10x +11
josh: Define what an exponent is.
An exponent is a number that is tiny and raised up on a base for example squared
josh: (3x+7x) + (7+10x^2)
drop brackets....3x+7x + 7+10x^2...find like terms....3x+7x+10x^2+7...answer... 10x+7+10x^2
josh: (10x-5) - (7x-3)
drop brackets.... 10x-5-7x-
find like terms... 10x-7x-5+3 answer.... 3x-2
josh: (3x)(7x)
=21x^2
josh: 5x(7x+3)
=35x^2+15x
josh: (3x-4x-3)- (5x-3x-5)
drop brackets & add opposites for second bracke... 3x-4x-3-5x+3x+5
like terms... 3x-4x-5x+3x -3+5
answers... -3x+2
josh: 5+6x+7x+8+2
like terms... 6x+7x+5+8+2
answer... 13x+15
miranda: (8x+7-3)+(4x+2-5) adding polanomials
8x+7-3+4x+2-5...drop the brackets
8x+4x+2+7-5-3...collect the like terms
12x+9-8... simplify it
12x + 1

miranda: what is the exponent in this question?? terms
the exponent in this question is 2.
miranda: order of BEDMAS
5+4(10/(-2))
BEDMAS...10/-2=-5 do whats in the brackets first ...
5+4(-5)
=5+-20
=5-20
=-15
miranda: adding and subtracting like terms
(2x^2+5-2)-(3x+4-8)
re-writt the question to add the opposites...turn the - sign into a + sign and all the -and+ into the opisit of the sines they are now...2x^2+5-2+-3x-4+8
collect the like terms
...2x^2 -3x +5-2-4+8
simplfy it 2x^2 - 3x + 7