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# ms.lych algebra

chapter 1

by

Tweet## shamiyah burke

on 11 January 2013#### 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!!!!!!!

Full transcriptcan 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!!!!!!!