Vocabulary
List the variables in the following expression:
8m3+2p2-4p+x-y2
m,p,x,y
4t+8
Four multiplied by a number increased by eight
12g + 9g
21g
Monomial
4j2+k+j2+k
5j2+2k
What are the two steps we follow when simplifying expressions?
1. Use the distributive property (multiply)
2. Combine like terms (add/subtract)
List the coefficients from the expression
-7x4+x3-2y+12
-7,1,-2
Eight less than twice a number
2x-8
11x + 9 + 3
11x + 12
Binomial
13x-3+8-19x
-6x+5
4(b - 6) + 19
4b - 5
Classify the polynomial 8t-9+11t-3t2.
What is the constant?
Trinomial
-9
m2+24
Twenty-four more than a number multiplied by itself
(n + 8) + ( n - 12)
2n - 4
Binomial
(-2g + 7) - (g + 11)
-3g - 4
1/2(-6x+10)-(15-7x)
4x-10
Terms that have the same variable raised to the same exponent but can have different coefficients are...
Like terms
Twelve multiplied by fifteen less than a number
12(n-15)
(2w - 9) + (-4w - 5) + s2
s2-2w-14
Trinomial
(6d + 5) - (2 - 3d)
9d +3
-(x - 8) + 7(4 + 3x)
20x + 36
How many terms does a monomial, binomial, trinomial, and polynomial have?
Monomial-1, Binomial-2, Trinomial-3, and Polynomial-more than 3
n/4 -12
Twelve subtracted from the quotient of some number and four OR One fourth of some number decreased by twelve
2x3+4x2−3+x2−5x+7+3x3
5x3+5x2−5x+4
Polynomial
You just got a new pool and need to get a fence to put around it. If the pool is a square with side lengths of (2x-3). Find the perimeter of the pool.
8x-12
-2(s - 6) + 4(s + 12) + 4 - 3s
-s + 64