FSA
Identifying Polynomials
Adding Polynomials
Subtracting Polynomials
Exponents
100
- 5 + 7
2
100
Is this a binomial or trinomial?
3z2 + 4x -12
Trinomial. "Tri" represents the letter three in classical Greek.
100
(3x + 5y ) + (4x + 2y)
7x + 7y
no flipping!
100
(3x + 5y) - (2x + 3y)
x + 2y
flip signs from (-) in middle and to the right
........... - (2x + 3y)
........... +(-2x - 3y)
100
Simplify
24
2 * 2 * 2 * 2 = 16
not 2 * 4!
200
7/7 - 3/7
4/7
If variables are the same on the bottom, subtract across.
200
Write down your definition of what a like term is. Be very comprehensive and specific!
Terms are only considered alike if they have the same variables raised to the same exponents.
3x2 + 5x2 7x + 2x2
like terms not like terms
200
(11x + 4z2) + (3z2 - 3x)
7z2 + 8x
200
(5x2 + 7x) - ( -2x + 3x2)
2x2 + 9x
............- (-2x + 3x2)
flip
............+(+2x - 3x2)
200
Simplify
42 + 25
(4 * 4) + (2 * 2 * 2 * 2 * 2)
= 16 + 32
= 48
cannot simply add exponents across! follow order of operations (PExponentsMDAS) exponents before +
300
Add and simplify!
4/5 + 2/3
1 and 7/15, or 22/15
must find a least common multiple (LCM) least common denominator before adding fractions!
300
Daily Double!
True or False
the degree of this term = 5
5x2x3
True! If a term contains different variables multiplied by one another, add the exponents to determine its degree!
300
(-3w + 5z - 8y) + (3z - 4y + 8w)
5w + 8z - 12y
300
(3y + 12x2 - 5z) - (4x2 - 2y + 4z)
8x2 - 9z + 5y
300
Simplify
40
1
all numbers raised to the power of 0 = 1.
400
Round .0378 to the nearest thousandth.
.038
thousandths place is the third decimal place on the right (tenths, hundreths, thousandths, ten thousandths). To round, look at the number to the right of the place value which you are rounding to. If the number to the right is higher than 5, round the number in the selected place value up (if lower, down). The numbers to the right are erased or replaced with 0 whether you round up or down.
400
Label the constants, variables, exponents and coefficients correctly.
3x2 + 7y - 12
constant = -12
variables = x, y
exponents = 2
coefficients = 3, 7
400
DAILY DOUBLE!
(8x + 4x2 + 2x3) - (-8x3 + 4x2 -2x)
10x3 + 10x
confusing huh?
400
(8z2 - 5w + 9y) - (-3w + 3z2 + 8)
5z2 - 2w + 9y + 8
400
Simplify. Answer should only contain positive exponents.
z-5
1/z5
place under a fraction sign and change sign to positive!
500
Add the numbers and round to the ten-thousandth.
.00345 + .00002
= .00347
round to ten-thousandth
.0035
500
Is this a polynomial, a binomial, or both?
5z + 12z2
Both! A binomial can be a polynomial and a polynomial can be a binomial. nomial nomial :D
500
Monsternomial!
(4z + 12y2 + 3x - 11w) + (13x - 21w + 5y2 - 6w)
17y2 + 16x - 38w + 4z
Mr. Fordney got it wrong 3 times in a row!
500
Monsternomial!
(7y + 3z3 - 8z2 + x) - (- 2z3 - 3y + x + 5y)
5z3 - 8z2 + 2y
500
Simplify
5-3
1/53
= 1/(5*5*5) or 1/5/5/5=1/125
place under fraction, apply exponent power