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Warm Up Group the following apples, oranges, & bananas together and write as an algebraic expression. Now in your own words, give a definition for algebraic.

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Presentation on theme: "Warm Up Group the following apples, oranges, & bananas together and write as an algebraic expression. Now in your own words, give a definition for algebraic."— Presentation transcript:

1 Warm Up Group the following apples, oranges, & bananas together and write as an algebraic expression. Now in your own words, give a definition for algebraic expression.

2 Essential Question: How do we translate a word phrase into an algebraic expression or an algebraic expression into a word phrase?

3 Write the operation (+,-, x, ) that corresponds to each phrase.
1. Divided by 2. Difference 3. More than 4. Product 5. Minus 6. Sum 7. Quotient 8. Multiplied by Note: In order to translate a word phrase into an algebraic expression, we must first know some key word phrases for the basic operations.

4 Here are some other key words.
Addition More than Increase by Greater than Add Total Plus Sum Subtraction Decreased by Difference between Take Away Less Subtract Less than* Subtract from* Multiplication Product Times Multiply Of Twice or double Triple Division Quotient Divide Divided by Split equally

5 Note: Division expressions should be written using the fraction bar instead of the traditional division sign. Multiplication expressions should be written in side-by-side form, with the number always in front of the variable. 3a t c f

6 More Examples: the product of 3 and a number t 3 more than x
twice the number x 4.2 times a number e a number t decreased by 4 the difference between 10 and a number y 3 more than x the sum of 10 and a number c a number n increased by 4.5 the number y divided by 2 6 less than a number z

7 When solving real-world problems, you will need to translate words, or verbal expressions, into algebraic expressions. For Example: Although they are closely related, a Great Dane weighs about 40 times as much as a Chihuahua. What could we use to express the weight of the Great Dane? What does it mean?

8 Day 2 EQ: How do we interpret parts of an algebraic expression?
Standard: MCC9‐12.A.SSE.1a- Interpret parts of an expression, such as terms, factors, and coefficients.

9 Key Concepts • Expressions are made up of terms. A term is a number, a variable, or the product of a number and variable(s). An addition or subtraction sign separates each term of an expression. • For example: 4x² + 3x + 7, •How many terms do we have?

10 3x2 Pieces of a term Exponent (the little number above the variable)
Coefficient (number in front of the variable) Exponent (the little number above the variable) Variable (the letter) Pieces of a term 3x2

11 Pieces of a term 3x2 The factors of each term are the numbers or expressions that when multiplied produce a given product.

12 List the following for the expression 2x² + 6x - 8
Terms Factors Coefficients Constants

13 List the following for the expression x² + 10x + 25
Terms Factors Coefficients Constants

14 List the following for the expression 9x² - 6x + 1
Terms Factors Coefficients Constants

15 List the following for the expression 5x² -14x - 3
Terms Factors Coefficients Constants

16 List the following for the expression 5x(2x + 3) – 2(x + 7)
Terms Factors Coefficients Constants

17 List the following for the expression (-5m + 5) + 2(-4 + 7m - 4m²)
Terms Factors Coefficients Constants


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