ExpressionEvaluating Expressions 
Replace the variable with
parentheses 
Step 1: 5(x) + 6 for x = 2 
ExpressionWriting Expressions 
Six less than twice the value:
2x6 

Find slope from two points 
Make a function table using the x and y values of two points 
Subtract y_{1} –
y_{2} equals Rise 
Function 
f(x) = x^2 

Greatest common factor 
The greatest number that is the largest factor of two or more given numbers 
GCF of 6 and 3 is 3 GCF of 6,12,36 is 6 GCF of 8, 12, 16 is 4 
Integers Adding Integers 
If the signs are the same, then add and keep same sign. If signs are different subtract, keep sign of the largest number. 
9 + 5 =14 (same sign) 9 + 5 = 4 (opposite
signs) 
IntegersDividing Integers 
Divide the integers and apply the
sign rules. 
8 ÷ 2 = 4 8 ÷ 2 = 4 
IntegersMultiplying Integers 
Multiply the integers and apply the
sign rules. 
8 * 4 = 32 (8) * (4) = 32 
InequalitiesSolving Inequalities 
Step 1 All variables should be
on the left of the equal sign and the numbers should be on the right. 
Step 1
4b + 6 < 14 
IntegersSubtracting Integers 
To subtract an integer add it’s opposite Apply these rules: 1. Two like signs become positive 2. Two unlike signs become negative 
9  (4) 9 +(+4) = 13
Two like signs 
InequalitiesWriting Inequalities 
Use the same rules as writing
equations 
The product of 6 and y is greater than 14 6y > 14 Y more than 6 is less than 11 6 + y < 11 
Missing factors 
These can be set up as a multiplication problem or a division problem 

MonomialsDividing by a monomials 
Separate the expression into two fractions and then divide coefficient but subtract exponents. 
(6x^{2}  4x)/2x (6x^{2})/2x + (4x)/2x 3x  2 
MonomialsDividing monomials 
When dividing monomials you subtract the exponents of like variables 
(a^{3}
b^{6})⁄(a^{2} b^{3} ) a^{3}⁄a^{2} = a^{(32)=}a b^{6}⁄b^{3}
= b^{(63)}= b^{3} 
MonomialsMultiplying monomials 
When multiplying monomials, add exponents with the same variables 

MonomialsNegative powers of a monomials 
When dividing or multiplying monomials with negative powers use the rules of integers and add the signed numbers. 
a^{5} x a^{(3)}=a
^{(53)} =a^{2} b^{4} x b^{(2)}=b^{(42)} =b^{2} 