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is any combination of numbers and operations 


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evaluate an expression, you find its numerical value 


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Variables are placeholders, usually letters, that represent numbers 


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An algebraic expression is a combination of variables, numbers and at least one operation 


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Commutative property of addition and multiplication 

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Commutative property of addition and multiplication  The order in which numbers are added or multiplied does not change the sum or product 


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Associative property of addition and multiplication 

Definition
Associative property of addition and multiplication  The way in which numbers are grouped does not change the sum or the product 


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Identity property of addition and multiplication o The sum of a number and zero is that number 6 + 0 = 6 o The product of a number and one is the number 6 * 1 = 6 


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Multiplicative property of zero 

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Multiplicative property of zero o The product of a number and zero is zero 6 * 0 = 0 


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An equation is an algebraic expression having an EQUAL sign. When solving an equation you are solving for a variable 


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coordinate system ordered pairs 

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Using the coordinate system we can locate ordered pairs made up of one point from the xaxis and one point from the yaxis. The ordered pair (0,0) is called the origin 


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Integers are the whole numbers and their opposites 


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The absolute value of a number 

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The absolute value of a number is the distance the number is away from zero o Absolute values are always positive 


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Definition
To ADD integers with the SAME sign, ADD the absolute value and give the result the SAME sign as the integers To ADD integers with DIFFERENT signs, SUBTRACT their absolute values and give the result the sign of the greater value. 


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To SUBTRACT an integer, ADD its ADDITIVE INVERSE 


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The product of two integers with the SAME sign is positive The product of two integers with DIFFERENT signs is negative 


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The quotient of two integers with the SAME sign is positive The quotient of two integers with DIFFERENT signs is negative 


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The Distributive Property 

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sum of two numbers multiplied by a number is the sum of the products of the numbers originally added and that number o a(b + c) = ab + ac 


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Simplifying Algebraic Expressions 

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Use the distributive property to simplify algebraic expressions 


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Solving Equations by Adding or Subtracting 

Definition
Isolate the unknown variable by adding or subtracting the inverse to BOTH sides o Example: x + 10 = 14, x + 10 – 10 = 14 – 10, x = 4 


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Solving Equations by Multiplying and Dividing 

Definition
Isolate the unknown variable by multiplying or dividing the inverse to BOTH sides o Example: 8d = 64, 8d/8 = 64/8, d = 8 


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Solving Two step equations 

Definition
Combine like terms. To solve equations you can use inverse operations (“undo” each other, or using the opposite) to isolate the variable in which you are solving for To “undo” addition you would subtract To “undo” subtraction you would add To “undo” multiplication you would divide To “undo” division you would multiply 


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Writing Two Step Equations 

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Turn verbal sentences into two step equations When you multiply or divide each side of an inequality by a negative integer, you must reverse the order symbol 


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A formula shows the relationship among certain quantities A formula is a mathematical equation 


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Area is the space occupied in square units, inside of the perimeter The Area of a rectangle is the length times width o Area = l x w, recorded in square units i.e. cm2 


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Definition
Area is the space occupied in square units, inside of the perimeter The Area of a rectangle is the length times width o Area = l x w, recorded in square units i.e. cm2 


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An exponent tells how many times a number, called the base, is used as a factor. 


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A factor is a whole number multiplied by another number to produce a product. All numbers multiplied together are the factors. 


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A composite number is a whole number greater than one and has more than two factors. 


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Greatest Common Factor (GCF) 

Definition
Greatest Common Factor (GCF) Find all prime factors of two or more numbers Identify common factors among all numbers Multiply common factors together 


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Simplifying Algebraic Fractions 

Definition
Simplifying Algebraic Fractions Find all prime factors using factor trees of both the numerator and denominator Cancel out common prime factors from both (remember any number over the same number equals one) Multiply the remaining factors of the numerator and denominator 


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Multiplying and Dividing Monomials 

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Multiplying and Dividing Monomials When multiplying powers ADD the exponents When dividing powers SUBTRACT the exponents 


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Negative Exponents A number to a negative exponent is written as a fraction as 1 over the power a 3 = 1/a3 


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Definition
Express a number in standard form and scientific notation. Compare and order numbers in scientific notation 


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Least Common Multiple (LCM) 

Definition
Least Common Multiple Find the least common multiple of two or more numbers. Find the least common denominator of two or more fractions. Find all prime factors using factor trees of two or more numbers Identify all common prime factors of any of the numbers Multiply all remaining factors together along with the common factors only once 


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Definition
Least Common Denominator (LCD) Find the least common multiple (LCM) of the denominators 


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SUGGESTIONS FOR PREPARING FOR EXAM 

Definition
1. Eat a good breakfast to get you started and to keep you alert throughout the exam. 2. Be sure you have everything you need for the exam (e.g. pen, pencil, eraser, watch, etc.) 3. Make sure you know what room the exam is held in and arrive there with plenty of time to spare. Choose a good seat away from the aisles, doorways, and the teacher's desk (where everyone hands in the exam). 4. Take a deep breath, think positive and relax. 5. Once you have the exam, skim the entire exam first to get an idea of what materials are asked, and how the exam is organized. 6. Read the directions. Make sure you understand them fully before you start the exam. 7. Clarify any ambiguous questions with the instructor before you start the exam. 8. Budget your time according to the point value of each section. Bring a watch with you to keep track of the time. Do not get carried away answering one question. 9. Establish priorities. Do the easy items first because it is a confidence builder. Save the difficult items for last. 10. Reread what you have done. Make changes 

