Combining Like Terms
Combine Like terms. Then state wether your answer is a monomial, binomial, trinomial, or polynomial
(2m2+6m)+(m2-5m+7)
3m2+m+7
Trinomial
FOIL (4b+6)(b-13)
4b2-46b-78
Factor using the reverse distributive property
-4a2b2+16ab+12a
-4a(ab2-4b-3)
SOLVE FOR x
(2x+6)(3x-15)=0
x=-3,5
State the most digits of pi you can (use no resources, largest wins)
3.141592653589793238462643383
Combine Like Terms. Then state the degree of the answer.
(4x2+2x-8)-(7x2+4-x)
-3x2+3x-12
Degree 2 (quadratic)
Use Special Products to solve. Then state the general rule for factoring (a+b)(a-b)
(3x+5y)(3x-5y)
(9x2-25y2)
(a+b)(a-b)=a2-b2
Factor by reversing the distributive property
10h3n3-2hn2+14hn
2hn(5h2n2-n+7)
Solve for x
3x(2x+1)=0
x=0,-1/2
What is the Pythagorean theorem, and what is it used for?
a2+b2=c2
Used to find the side lengths of a RIGHT TRIANGLE
Simplify.
-3g(7g-2)+3(g2+2g+1)-3g(-5g+3)
-3g2+3g+3
FOIL
(m+5)(m2+4m-5)
m3+9m2+15m-25
Factor by Grouping
4qr+8r+3q+6
(4r+3)(q+2)
SOLVE FOR x
-15x2+5x=0
x=0, 1/3
State the equation for a circle (should know from Desmos project)
(x-h)2+(y-k)2=r2
GEOMETRY: The measures of two sides of a triangle are 3x+4y and 5x-y. If P is the perimeter, and P=10x+5y , find the measure of the third side.
2x+2y
Use special products to solve. Then state the general rule for (a-b)2
(6p-2h)2
36h2-24hp+4p2
(a-b)2=(a-b)(a-b)=a2-2ab+b2
Factor by Grouping
3p-2p2-18p+27
(p+9)(3-2p)
Solve for x
3x2=9x
x=0,3
If a2+b2=101 and ab=-12, find the value of (a-b)2
125
2a(5a-2)+3a(2a+6)+8=a(4a+1)+2a(6a-4)+50
a=2
FACTOR:
(3y2+2y+2)(3y2-4y-5)
9y4-6y3-17y2-18y-10
Factor by grouping
5x6+x5+10x4+2x3+20x2+4x
x5(5x+1)+2x3(5x+1)+4x(5x+1)
=(x5+2x3+4x)(5x+1)
9x3+15x2+x-6=(x+3)(x-2)-3x3
x=0, -7/6
What is the difference between an Arithmetic and Geometric sequence. Give an example of both and provide the r or d.
Arithmetic-Number added or subtracted
ex)5,10,15,20.... d=5
Geometric-Number multiplied or divided
ex)2,4,8,16,32... r=2