WarmUp Match each word to the correct definition

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Warm-Up Match each word to the correct definition. 1. Algebraic Expression 2. Coefficient 3.

Warm-Up Match each word to the correct definition. 1. Algebraic Expression 2. Coefficient 3. Constant 4. Term 5. Variable A. Each part of an expression separated by an operation. B. A number that stands by itself C. A number that does not stand by itself (it is attached to a variable) D. A letter that stands for a particular numerical value E. A number sentence without an equal sign, has at least two terms and one operation

1 -1 Variables and Expressions You would be wise to listen carefully and take

1 -1 Variables and Expressions You would be wise to listen carefully and take notes! Goal: to write algebraic expressions Algebra 1 Honors Ms. Register

mathematical quantity - anything that can be measured or counted. numerical expression – expression

mathematical quantity - anything that can be measured or counted. numerical expression – expression that represents a particular number Example: 3 + 2 algebraic expression - consists of one or more constants and variables along with one or more arithmetic operations. Example of an algebraic expression: 3 x + 2 constants - numbers variables - letters operations - addition, subtraction, multiplication and division

Multiplication – use a dot or parentheses Here are some ways to represent the

Multiplication – use a dot or parentheses Here are some ways to represent the product of x and y. Use good form in an answer! factors - the quantities being multiplied Product – the result

Writing Algebraic Expressions In English there is a difference between a phrase and a

Writing Algebraic Expressions In English there is a difference between a phrase and a sentence. In math, Phrases expressions. Sentences equations or inequalities. Phrase The sum of 6 and a number 6 + n Sentence The difference of a number and three is five. n – 3 = 5 Sentence Seven times a number is less than 50. 7 n < 50 When choosing a variable for an unknown, it may be helpful to select a letter that relates to the unknown value (for Sentences must example: let a represent age). If a variable is given use it! Sentences must have a verb!

The product of five and a number 5 n The product of a number

The product of five and a number 5 n The product of a number and five Would you say 5 notebooks or notebooks 5? 5 n Write your answer in good form - the number comes before a variable in a term involving multiplication.

Write an algebraic expression for each word phrase. a. The difference of a number

Write an algebraic expression for each word phrase. a. The difference of a number and 7 n– 7 b. 32 increased by a number 32 + n c. 25 less than a nnumber – d. 10 less the product of 5 and a number 10 – 5 n e. The quotient of a number and six. n Use a fraction 6 bar to designate division!

Example 1 Write the phrase as an algebraic expression. a. 11 greater than a

Example 1 Write the phrase as an algebraic expression. a. 11 greater than a number n + 11 b. a number subtracted from 15 Did you use a fraction bar to designate division? 15 – n c. The sum of a number and 30 n + 30 d. Maria’s age minus 27 a – 27 18 e. The quotient of 18 and a number n f. The sum of a number and ten, divided by two.

Which of the following expressions represents 7 times a number decreased by 13? 1.

Which of the following expressions represents 7 times a number decreased by 13? 1. 2. 3. 4. 7 x + 13 7 x - 13 13 - 7 x 13 + 7 x Answer Now

Which one of the following expressions represents 28 less than three times a number?

Which one of the following expressions represents 28 less than three times a number? 1. 2. 3. 4. 28 - 3 x 3 x - 28 28 + 3 x 3 x + 28 Answer Now

Write a verbal expression for: 1) 8 + a. The sum of 8 and

Write a verbal expression for: 1) 8 + a. The sum of 8 and a 2) The ratio of m to r Do you have a different way of writing these?

Which of the following verbal expressions represents 2 x + 9? 1. twice a

Which of the following verbal expressions represents 2 x + 9? 1. twice a number increased by 9 2. a number increased by nine 3. twice a number decreased by 9 4. 9 less than twice a number Answer Now

Which of the following expressions represents the sum of 16 and five times a

Which of the following expressions represents the sum of 16 and five times a number? 1. 2. 3. 4. 5 x - 16 16 x + 5 16 + 5 x 16 - 5 x Answer Now