MonomialsRaising monomials to a power 
Multiply the exponent in the parentheses by the power. 
( a^{2} b^{4}
c^{3} )^{2} 
Multiplying signed numbers
The Rules 
(+) • (+) = (+) 

Order of Operations 
PEMDAS Parentheses Exponents Multiply/Divide(left to right) Add Subtract (left to right) 

Plotting points on the coordinate plane 
Step 1 Start at the origin. Find the
xaxis, count right for positive and left for negative x value 
Plot (6 4)
Step 1
Begin at (0,0) move 6 to the
right 
Polynomial multiplied by 1 
When you multiply by 1 you simply change the sign of every term listed. 
1(4a + 3b  3c) = 4a 3b + 3a 
Polynomial multiplied by a monomial 
Multiply each term by the monomial Combine terms 
2x(3x^{2} + 2x 3) list from largest exponent in order:
6x^{3} + 4x^{2} 6 
Polynomial multiplied by a variable 
Step 1 Multiply each term by the variable remember to add the exponents.
Step 2
Combine. 

Polynomial multiplied by an integer 
Step 1: Multiply each term by the integer changing only the coefficients.
Step 2:
Combine terms 

PolynomialsAdding Polynomials 
Step 1 Arrange in descending order of exponents Step 2 Combine terms with like variables and exponents 
Combine 3x^{8}6x^{9}4x^{9}+8x+7x^{8}2x Step1 6x^{9}4x^{9} + 3x^{8}  7x^{8} + 8x  2x Step 2 2x^{9}+ 4x^{8}+ 6x 
PolynomialsDegree of a polynomial 
The highest exponent after being simplified 
2^{4} – 5^{3} – 10x + 7 is a fourth degree polynomial 2^{7} – 5^{3} – 10^{2} + 7 is a seventh degree polynomial 
PolynomialsSubtracting Polynomials 
Set up the problem vertically in
descending order 
15x^{3}  10x^{2} + 3 (10x^{3} + 30x^{2} + 2) ...................................................... 15x^{3}  10x^{2}
+ 3 15x^{3}  10x^{2} +
3 5x^{3}  40x^{2} +
1 
PropertyAssociative property 
a + (b + c) = (a + b) + c Changing groupings 
Ex. 2 + (5 + 3) = (2 + 5) + 3 
PropertyCommutative property 
a + b = b + a 
Ex. 7 + 3 = 3 + 7 
PropertyDistributive property 
Multiply the terms inside the parenthesis by the term on the outside of the parenthesis 
c(a + b) = ca + cb 
Quadratic Equation 
ax^{2} + bx + c = 0 a, b, and c are known values x =variable 
3x^{2} + 4x + 3 =0 