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1.3 – Algebraic Expressions

1.3 – Algebraic Expressions. Students will be able to: evaluate algebraic expressions Simplify algebraic expressions Lesson Vocabulary Evaluate term coefficient Constant terms Like terms. 1.3 – Algebraic Expressions. Problem 1:

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1.3 – Algebraic Expressions

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  1. 1.3 – Algebraic Expressions Students will be able to: evaluate algebraic expressions Simplify algebraic expressions Lesson Vocabulary Evaluate term coefficient Constant terms Like terms

  2. 1.3 – Algebraic Expressions Problem 1: Which algebraic expression models the word phrase seven fewer than a number t? a. t + 7 b. -7t c. t – 7 d. 7 – t

  3. 1.3 – Algebraic Expressions Problem 1b: Which algebraic expression models the word phrase two times the sum of a and b? a. a + b b. a + 2b c. 2a + b d. 2(a + b)

  4. 1.3 – Algebraic Expressions To model a situation with an algebraic expression, do the following: Identify the actions that suggest operations Define one or more variables to represent the unknown(s). Represent the actions using the variables and the operations.

  5. 1.3 – Algebraic Expressions Problem 2: You start with $20 and save $6 each week. What algebraic expression models the total amount you save?

  6. 1.3 – Algebraic Expressions Problem 2b: You had $150, but you are spending $2 each day. What algebraic expression models this situation?

  7. 1.3 – Algebraic Expressions To evaluate an algebraic expression, substitute a number for each variable in the expression. Then simplify using order of operations. Problem 3: What is the value of the expression for the given values of the variables? 7(a + 4) + 3b – 8 for a = -4 and b = 5 for x = 1 and y = 1/2

  8. 1.3 – Algebraic Expressions Problem 3b: What is the value of the expression for the given values of the variables? for x = 6 and y = -3

  9. 1.3 – Algebraic Expressions An expression that is a number, a variable, or the product of a number and one or more variables is a term. A coefficient is the numerical factor of a term. A constant term is a term with no variables. You can add terms to form longer expressions. The expression below has three terms. -4ax +7w – 6 The constant term is -6 The numerical coefficient of 7w is 7 The numerical coefficient of -4ax is -4

  10. 1.3 – Algebraic Expressions Like terms have the same variables raised to the same powers.

  11. 1.3 – Algebraic Expressions Problem 5: Combine like terms. What is a simpler form of each expression? a. b. c.

  12. 1.3 – Algebraic Expressions Exit Slip: Explain the difference between a constant and a coefficient How are algebraic expressions and numerical expressions alike? How are the different? Include examples to justify your reasoning.

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