Flashcards in Part 2: Algebra Deck (96)

Loading flashcards...

1

## What is a variable?

### A letter that represents an unknown value

2

## What is an algebraic expression?

### an arithmetic expression with one or more variables

3

## What is a term?

### It's a single part of an algebraic expression that is separated by an addition or subtraction sign from other parts of the expression.

4

## What are like terms?

### Terms are alike when they contain the same variables, with the same exponents.

5

## What is a constant?

### A term that does not contain any variables.

6

## What is a coefficient?

### A number that is multiplied by variables.

7

## What is a polynomial?

### An algebraic expression with a finite number of terms.

8

## What is the degree of a term?

### It's the exponent that's on the variable.

9

## What is the degree of a polynomial?

### The greatest exponent in the polynomial.

10

## Identity 1: ca + cb

### c(a + b)

11

## Identity 2: ca - cb

### c(a - b)

12

## Identity 3: (a + b) ^2

### a^2 + 2ab + b^2

13

## Identity 4: (a - b)^2

### a^2 - 2ab + b^2

14

## Identity 5: a^2 - b^2

### (a + b)(a - b)

15

## Identity 6: (a + b) ^3

### a^3 + 3a^2b + 3ab^2 + b^3

16

## Identity 7: (a - b)^3

### a^3 - 3a^2b + 3ab^2 - b^3

17

## Rule 1: x^-a

### 1/x^a

18

## Rule 2: (x^a)(x^b)

### x^(a+b)

19

## Rule 3a: x^a/x^b

### x^(a-b)

20

## Rule 3b: x^(a-b)

### 1/x^(b-a)

21

## Rule 4: x^0

### 1

22

## Rule 5: (x^a)(y^a)

### (xy)^a

23

## Rule 6: (x/y)^a

### (x^a)/(y^a)

24

## Rule 7: (x^a)^b

### x^(ab)

25

## What is an equation?

### It is a statement of equality between two expressions.

26

## What does it mean to solve an equation?

### It means to find the values of the variables that satisfy the equation.

27

## What are equivalent equations?

### They are equations that have the same solution.

28

## Equivalent equation rule #1 regarding constants:

### The same constant can be added or substracted from each side of an equation, equality is preserved and the new equation is equivalent to the old one.

29

## Equivalent equation rule #2 regarding constants:

### The same constant can be multiplied or divided on each side of an equation and the new equation will be equivalent to the original one.

30