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Intro to Directions: Watch the videos.
Then answer the questions on the slide that follows. Write your answers and show your work.
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What is an algebraic expression?
foundations/variables-expressions/algebraic-expressions/numerical- algebraic-expressions
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Identify the algebraic expressions.
4k + 2 6y + 7d – 2 3 + 2 = 5 12 – 4d = 4
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Algebraic expressions have variables as well as numbers.
4k + 2 6y + 7d – 2 3 + 2 = 5 12 – 4d = 4
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Directions: Complete the Algebraic Expression Graphic Organizer
Directions: Complete the Algebraic Expression Graphic Organizer. Write the definitions.
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What is a variable? foundations/variables-expressions/algebraic-expressions/variables- definition
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Identify the variables.
1) 3 2) X 3) n 4) n + k 5) 102
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The variables are highlighted in red.
1) 3 2) X 3) n 4) n + k 5) 102
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What is a coefficient? foundations/simplifying-expressions/simplifying-expressions- examples/coefficient-definition
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Answer each question below:
What is the coefficient in this expression: 3X – 2 What is the third coefficient in this expression: 2x + 6n – 4k + 7y What is the second coefficient in this expression: 2k + 3y + 4n Evaluate 4y – 6 when y = 10 Evaluate 2n – 4 when n = 3
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THE COEFFICIENT IS ONLY THE NUMBER. IT DOES NOT INCLUDE THE VARIABLE!!!
What is the coefficient in this expression: 3X – 2 What is the third coefficient in this expression: 2x + 6n – 4k + 7y What is the second coefficient in this expression: 2k + 3y + 4n Evaluate 4y – 6 when y = – 6 = 34 Evaluate 2n – 4 when n = – 4 = 2
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What is a term? foundations/simplifying-expressions/simplifying-expressions- examples/polynomial-term-definition
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Identify the terms. What is the 2nd term in this expression: 2x3 + 4y
What is the 3d term in this expression: 4x – 6y + 3k – 2 How many terms are in this expression: 4k – 3 + 2y2 + 6n – 4n How many terms are in this expression: 2x3 + 6n How many terms are in this expression: 4d + 2d + 60n – 3k
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Identify the terms. What is the 2nd term in this expression: 2x3 + 4y
What is the 3d term in this expression: 4x – 6y + 3k – 2 How many terms are in this expression: 4k – 3 + 2y2 + 6n – 4n 5 Terms 4) How many terms are in this expression: 2x3 + 6n Two terms 5) How many terms are in this expression: 4d + 2d + 60n – 3k 4 Terms
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What is the order of operations
What is the order of operations? (Watch both of these videos before answering the problems.) foundations/simplifying-expressions/order-of-operations/order-of- operations-definition foundations/simplifying-expressions/order-of-operations/order-of- operations-examples
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Evaluate using the order of operations.
3 + 4(2 + 2) = 2 + 6(2 -1)2 = 10 – 4(2) ÷ 2 = 20 ÷ 4 + 2(3) = ÷ 2 =
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Evaluate using the order of operations.
3 + 4(2 + 2) = 19 2 + 6(2 -1)2 = 8 10 – 4(2) ÷ 2 = 6 20 ÷ 4 + 2(3) = 11 ÷ 2 = 4
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How do you simplify expressions?
foundations/simplifying-expressions/simplifying-expressions- examples/like-terms-definition
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Directions: Use this page to complete the graphic organizer
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Simplify the following expressions by combining the like terms:
X + X + X + X = D + D + D + K + K = 2n + 4n + 2r + 6r = 2 + 8y – 2y + 10 = k + 5k + 2 =
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Simplify the following expressions by combining the like terms:
X + X + X + X = 4X D + D + D + K + K = 3D + 2K 2n + 4n + 2r + 6r = 6n + 8r 2 + 8y – 2y + 10 = 6y + 12 k + 5k + 2 = 9k + 17
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Assessment: You need your text book
Complete Page 413 #1 – 6 and 415 #21 – 26 We will put these in Engrade tomorrow.
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