Golden Rule: Complete all of multiplication and division before you begin any addition and subtraction.
Evaluating xpressions:
2x
x is the number of pairs of eyes.
2x would be the number of eyes.
Solve a word problem evaulating Expressions?
There are x people working a project.
Your notebooks come in packs of ten.
Write an expression for the number of packs of notebooks you would need to give everyone on project each...
Answer:
x/10
Explanation:
You'll need one pack of notebooks for every 10 people.
If there are x people on the project, then you'll need
x ÷ 10 packs of notebooks.
Each xpression is matched to its value:
((3 + 4) + 3) ÷ 2)
3
5
8
x/4, where x = number of green clay pots in a dozen.
3
5
8
(3 + 3) ÷ 2
3
5
8
2n + 1, where n = the number of wheels on a bike.
3
5
8
(4 + 1) x 3 ÷ 5
3
5
8
(d - 3) x 2, where d = number of days in the week.
3
5
8
3(2 + 1) - 4
3
5
8
7 + (2 + 5) - 9
3
5
8
3 + 2 x 2 + 1
3
5
8
y + 2, where y = the number of earth moons.
3
5
8
Properties of Equalities:
The Reflective Property
Any number is equal to itself.
2 = 2
If a is any number,
a = a
The Symmetric Property
Symmetrical
a = b then b = a
Examples:
1. x = y
y = x
2. 3 + 1 = 4
4 = 3 + 1
3. r - 4 = 3s
3s = r - 4
The Transitive Property
if a = b
and b = c
then a = c
Examples:
1. 4 = y y = x
3 = x
2. u = x = t
u = t
3. r = q and r = x
q = x
The Substitution Property
If two expressions are equal. one can replace the other.
(3 + 4) + 1
(7) + 1
Examples:
1. 7(4 + 5)
6(9)
2. x = 4 + 3
x = 7
3. x + 6 = y(6 - 3)
x + 6 = y(3)
Simplifyinglgebraic Expressions:
Properties of algebra
Let a, b, and c represent real numbers, variables, or algebraic expressions
PROPERTY NAME
PROPERTY WRITTEN OUT
Commutative Property of Addition
a + b = b + a
Commutative Property of Multiplication
ab = ba
Associative Property of Addition
(a + b) + c = a + ( b + c)
Associative Property of Multiplication
(ab)c = a(bc)
Distributive Property
a(b + c) = ab + ac
(a + b)c = ac + bc
Additive Identity Property
a + 0 = 0 + a = a
Multiplicative Identity Property
a * 1 = * a = a
Additive Inverse Property
a + (-a) = (-a) + a = 0
Multiplicative Inverse Property
a * 1/a = 1/a * a = 1 (a | 0)
Common use for the distributive property is to expand an algebraic expression
Combining like terms
In an algebraic expression, two terms are said to be like terms if they are both constant terms or if they have the same variable factor(s).
To combine like terms, you add or subtract their respective coefficients and attach the common variable facor(s).
Simplifying algebraic expressions
Means to remove symbols of grouping and combine like terms.
To remove the symbols of grouping, you wuold generally use the distributive property.
Rounding decimals
Determine the number of digits of accuracy you wish to keep. The digit in the last position you keep is called the rounding digit, and the digit in ther fitst position you discard is called the decision digit.
If the decision digit is 5 or greater, round up by adding 1 to the rounding digit.
If the decision digit is 4 or less, round down by leaving the rounding digit unchanged.
Exponents, Order of Operations, and Properties of Real Numbers
Exponents
Another way of writing repeated multiplication (5x5x5x5 = 54)
In the exponential form given before, the 5 is the base (repeated factor) and the 4 is the exponent (how many times the base occurs as a factor).
Read as "5 to the 4th power."
Order of Operations
Perform operations inside symbols of grouping - ( ) or [ ] - or absolute value symbols, starting with innermost symbols.
Evaluate all exponential expressions.
Perform all multiplications and divisions from left to right.
Perform all additions and subtractions from left to right.
The old anagram to remember this is PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).
Properties of real number (Let a, b, and c be real numbers)
Robix is a game of pure logic and strategy as you try to push rows of blocks right or left in an effort to get 10 of your green marbles to the bottom before your computer opponent can.
.
Name _____________________________
Date ___________________
Evaluate Expressions (Answer ID # 0457024) Complete by evaluating each expression.
lgebra by: Grade Builder
ariables and 
xpressions
What are Variables?
Evaluating an expression mean figuring out what number the expression equals.
Let a, b, and c represent real numbers, variables, or algebraic expressions
