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# ms.lych algebra

chapter 1
by

## shamiyah burke

on 11 January 2013

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#### Transcript of ms.lych algebra

Quantity-is anything that
can be measured or
counted Variable- is a symbol, usually
a letter, that represents the
value(s) of a variable quantity. Chapter 1- Foundations for ALGEBRA Lesson 1: Variable and Expressions
A mathematical quantity is anything that can be measured or counted.
- Algebra uses symbols to represent quantities that are unknown or that vary. You can represent mathematical phrases and real-world relationships using symbols and operations.
- A variable is a symbol, usually a letter, that represents the value(s) of a variable quantity.
- An algebraic expression is a mathematical phrase that includes one or more variables.
- A numerical expression is a mathematical phrase involving numbers and operation symbols, but no variables.

PROBLEM 1:
A. 32 more than a number n = n + 32
B. 58 less a number n = 58 - n
C. 8 times a number n = 8 x n, 8n
D. 3 more than twice a number x = 3 + 2x
E. the product of 4 and the sum of a number x and 7 = 4(x + 7) Lesson 2: Order of Evaluating Expressions
A power has two parts, a base and an exponent.
The exponent tells you how many times to use the base as a factor.
You simplify a numerical expression when you replace it with its single numerical value. For example, the simplest form of 2/8 is 16. To simplify a power you replace it with its simplest form.

PROBLEMS:
A. 10x10x10x10x10x10x10 =10,000,000 Lesson 3: Real Numbers and the Number Line
The radical symbol indicates a nonnegative square root, also called a principal square root. The expression under the radical symbol is called the radicand.
A rational number is any number that you can write in the form a/b, where a and b are integers and b is not equal to 0.
An inequality is a mathematical sentence that compares the values of two expressions using an inequality symbol. Lesson 4: Properties of Real Numbers
-Two algebraic expressions are equivalent expressions if they have the same values of the variable(s). Lesson 1: Variables and Expressions
- A mathematical quantity is anything that can be measured or counted.
- A variable is a symbol, usually a letter, that represents the value(s) of a variable quantity.
- An algebraic expression is a mathematical phrase that includes one or more variables.
- A numerical expression is a mathematical phrase involving numbers and operation symbols, but no variables.

PROBLEMS:
A. 32 more than a number n = n + 32
B. 58 less a number n = 58 - n
C. 8 times a number n = 8 x n, 8n
D. 3 more than twice a number x = 3 + 2x
E. the product of 4 and the sum of a number x and 7 = 4(x + 7) Lesson 1: Variables and Expressions
-A mathematical quantity is anything that can be measured or counted.
- A variable is a symbol, usually a letter, that represents the value(s) of a variable quantity.
- An algebraic expression is a mathematical phrase that includes one or more variables.
- A numerical expression is a mathematical phrase involving numbers and operation symbols, but no variables.

PROBLEMS:
A. 32 more than a number n = n + 32
B. 58 less a number n = 58 - n
C. 8 times a number n = 8 x n, 8n
D. 3 more than twice a number x = 3 + 2x
E. the product of 4 and the sum of a number x and 7 = 4(x + 7) Lesson 2: Order of Operations Evaluating Expressions
- A power has two parts, a base and an exponent.
- The exponent tells you how many times to use the base as a factor.
- You simplify a numerical expression when you replace it with its single numerical value.

PROBLEM:
A. 10x10x10x10x10x10x10 = 10,000,000 Lesson 3: Real Numbers and the Number Line
- A rational number is any number that you can write in the form a/b, where a and b are integers and b is not equal to 0.
- Rational numbers and irrational numbers form the set of real numbers.
_ An irrational number cannot be represented as the quotient of two integers.

PROBLEMS:
A. 15 - natural numbers, whole numbers, integers, rational numbers
B. -1.4583 - rational numbers (since - 1.4583 is a terminating decimal) Lesson 5: Adding and Subtracting Real Numbers
- The absolute value of a number is its distance from 0 on a number line.
- Two numbers that are the same distance from 0 on a number line but lie in opposite directions are opposites. Lesson 7: The Distributive Property
-Distributive property- is another property of real numbers that helps you to simplify expressions.
ex. a(b + c) = ab +ac
-Term- is a number, a variable, or the product of a number and one or more variables.
- Constant- is a term that has no variable.
-Coefficient- is a numerical factor of a term.
- Like terms- have the same variable factors.

Terms 7a and -3a
Variable Factors a and a
Like Terms yes Shamiyah Burke Chapter 1: Foundations of Algebra
ENJOY!!!!!!!! Ms. Lynch December 23, 2012 THE END!!!! HOPE YOU ENJOYED!!!!!!!
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