Algebra - done Flashcards
What are like terms
They have the same variable and same power/exponent.
Grouping values together to simplify equations
Algebraic Notation & Substitution
What do variables represent
How do you simplify multiplied variables
What is an algebraic equation
What do you do to like terms
- Variables represent unknown
- Multiplication of variables can be simplified into product notation
- Algebraic Equations are a statement that shows two sides are equal
- Like terms must be collected to simplify
Finding Algebraic products
- Multiply coefficients together
- Multiply variables together
Zero exponent rule
a^0 = 1
Meaning anything to the power of zero is one
Product exponent rule (a^m x a ^n)
a^m x a ^n = a^m+n
Dividing exponent rule
(a^m/a^n) = a^m-n
Multiplying exponents rule (a^m)^n
(a^m)^n = a^(m x n)
What has to be the same to use the rules
Rules can only be used when the base is the same
inverse, isolate, reverse
What do we do when given algebraic equations to solve for a variable
When given algebraic equations, we can use inverse operations to solve for a value of a variable. We must isolate a variable on either side of the equation symbol. When algebraic solving, we must follow order of operations in reverse order
What are the inverse operations? (Give the signs)
+ & -
÷ & x
√ & a^2
What is an equation
Equations are statements that show one expression is equal to another. These are connected by an equals sign.
How do we solve an equation?
(When solving, we need to “undo” the operations around the variables to isolate it. For this, we go in inverse order or reverse BEDMAS
Steps to solve for a variable
- Use a “Let Statement” to represent the unknown with a variable.
- Use the given information to create an equation with the variable
- Solve the equation algebraically
- Once you’ve solved and found the unknown number, write a word answer for the question. Use a “Therefore”
