# Math Chapter 1

## 53 terms · Glencoe Math Chapter 1.1-1.7 everything!Please note: some problems taken from Glencoe MS Math.

### factors

two or more numbers that are multiplied together to form a product

### exponent

in a power, the number of times the base is used as a factor

### base

in a power, the number used as a factor

### powers

numbers expressed using exponents

### squared

in a power, a number multiplied by itself (or to the 2nd power)

### cubed

the power in which the base is a factor three times

### evaluate

to find the value of an expression

### standard form

numbers written without exponents

### exponential form

numbers written with exponents

### numerical expression

a combination of numbers and operations

3x3x3

### order of operations

the rules you must follow when more than one operation is used in an equation

### variable

a symbol, usually a letter, used to represent a number in mathematical expressions or sentences

### algebraic expression

a combination of variables, numbers, and at least one operation

### algebra

a mathematical language that uses variables along with numbers

### algebraic term

when operation signs separate an algebraic expression into parts, each part is called this

### coefficient

the numerical factor of a term that contains a variable

### constant

a term that does not contain a variable

### equation

a mathematical sentence that contains the equals sign; the equals sign tells you both sides of the equation are equal

### solution

a value for a variable that makes the equation true

### solving an equation

the process of finding solutions to equations

### defining the variable

choosing a variable to represent an unknown value in a problem and using it to write an expression or equation to solve the problem

### equivalent expressions

expressions that have the same values

### properties

statements that are true for any number or variable

### sequence

a list of numbers in a certain order

### term (sequence)

each number in a sequence

### arithmetic sequence

a sequence in which each term is found by adding the same number to the previous term

### geometric sequence

a sequence in which each term can be found by multiplying the previous term by the same number

### explore

problem-solving step 1

### plan

problem-solving step 2

### solve

problem-solving step 3

### examine

problem-solving step 4

### 16 laps

Rebecca begins an exercise program by running 1 lap around the school track every day for the first week. During the second week, she runs 2 laps each day, and during the third week, she runs 4 laps each day. If Rebecca continues her exercise program for five weeks, how many laps will she run each day during the fifth week?

### 16 points

Matthew scored 24 points during his championship basketball game. His teammate, Greg, scored 8 points. How many more points did Matthew score than Greg?

### 5x5x5x5x5

Write five to the fifth power as a product of the same factor.

### 64

Evaluate four cubed

6x6x6x6x6x6x6x6

15-(2x6)=

24-4-3+9=

### 4

Evaluate h-9 if h=13.

### 12

Evaluate xy/4 if x=6 and y=8

### h=20

Evaluate h in the equation h-7=13

### y=324

Evaluate y in the equation 17+y=341

### Distributive Property

to multiply a sum by a number, multiply each addend of the sum by the number outside the parenthesis (this is an algebraic property)

### Commutative Property

the order of the numbers in either addition or multiplication does not change the sum or product

### Associative Property

the way three numbers are grouped does not chage their products when adding/mulitiplying

### Identity Property

any number plus zero equals that number; any number times one equals that same number

### (6x2)+(6x3)

Use the Distributive Property to write 6(2+3)

### 8x7=7x8

Give an example of the commutative property.

### (6+2)+7

Use the associative property to change the equation. 6+(2+7)

### 4+0=4

Use the Identity Property of Addition and 4 to create an equation.

### x3 geometric

Identify the sequence and give the type (arithmetic, geometric, neither) 2,6,18,54

### 21,25,29

Give the next three terms of the sequence. 5,9,13,17