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**4**

Slide 43

The order of numbers in an addition problem can be changed without changing the sum:

6 + 4 + 3 = 3 + 6 + 4

Slide 44

The product in a multiplication problem remains the same regardless of the order of the factors:

6 • 4 = 4 • 6

Slide 45

The way in which numbers being added are grouped does not change the sum:

6 + (3 + 2) = (6 + 3) + 2

Slide 46

The way in which numbers being multiplied are grouped does not change the product:

6 • (2 • 3) = (6 • 2) • 3

Slide 47

The sum of zero and any number equals the number, and the product of one and any number equals the number:

X + 0 = x x • 1 = x

Slide 48

A number added to its opposite is zero and a number multiplied by its reciprocal is one:

1 + (-1) = 0 1 • (1/2) = 1

Slide 49

For any real numbers a, b, and c, the distributive property states that:

a (b + c) = ab + ac.

Slide 50

A number, a variable, or the product or quotient of a number and one or more variables raised to powers.

Slide 51

The numerical factor in a term. In the term 6x2 the numerical coefficient is 6.

Slide 52

The same variables raised to exactly the same powers. The terms 2x2 and 7x2 are like terms.

Slide 53

Terms that do not have the same variable or the variables are not raised to the same powers. The terms 2x2 and 7x3 are unlike terms.

Slide 54

A method of adding or subtracting like terms by using the properties of real numbers:

2x2 + 7x2 = 9x2.

Slide 55

- Natural numbers
- Whole numbers
- Numerator
- Denominator
- Factor
- Product
- Factored
- Prime number
- Composite number
- Greatest common factor (GCF)
- Lowest terms
- Reciprocals
- Quotient
- Sum
- Least common denominator (LCD)
- Mixed number
- Difference
- Exponent (power)
- Base
- Exponential expression
- Grouping symbols
- Variable
- Algebraic expression
- Equation
- Solution of an equation
- Set
- Elements (members)
- Number line
- Negative number
- Positive number
- Signed numbers
- Integers
- Graph of a number
- Rational numbers
- Set-builder notation
- Irrational numbers
- Real numbers
- Additive inverse
- Absolute value
- Multiplicative inverse (reciprocal)
- Commutative property of addition
- Commutative property of multiplication
- Associative property of addition
- Associative property of multiplication
- Identity property
- Inverse property
- Distributive property
- Term
- Numerical coefficient
- Like terms
- Unlike terms
- Combining like terms

- Solar Thermal Energy
- Resource Acquisition and Transport in Vascular Plants
- Sound
- Static and Kinetic Friction
- Direct heat utilization of geothermal energy
- Newton’s Laws of Motion
- Newton’s Law of Gravity

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