Intro to Directions: Watch the videos.

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Presentation transcript:

Intro to Directions: Watch the videos. Then answer the questions on the slide that follows. Write your answers and show your work.

What is an algebraic expression? http://www.virtualnerd.com/algebra-1/algebra- foundations/variables-expressions/algebraic-expressions/numerical- algebraic-expressions

Identify the algebraic expressions. 4k + 2 6y + 7d – 2 3 + 2 = 5 12 – 4d = 4

Algebraic expressions have variables as well as numbers. 4k + 2 6y + 7d – 2 3 + 2 = 5 12 – 4d = 4

Directions: Complete the Algebraic Expression Graphic Organizer Directions: Complete the Algebraic Expression Graphic Organizer. Write the definitions.

What is a variable? http://www.virtualnerd.com/algebra-1/algebra- foundations/variables-expressions/algebraic-expressions/variables- definition

Identify the variables. 1) 3 2) X 3) n 4) n + k 5) 102

The variables are highlighted in red. 1) 3 2) X 3) n 4) n + k 5) 102

What is a coefficient? http://www.virtualnerd.com/algebra-1/algebra- foundations/simplifying-expressions/simplifying-expressions- examples/coefficient-definition

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

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 = 10 40 – 6 = 34 Evaluate 2n – 4 when n = 3 6 – 4 = 2

What is a term? http://www.virtualnerd.com/algebra-1/algebra- foundations/simplifying-expressions/simplifying-expressions- examples/polynomial-term-definition

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

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

What is the order of operations What is the order of operations? (Watch both of these videos before answering the problems.) http://www.virtualnerd.com/algebra-1/algebra- foundations/simplifying-expressions/order-of-operations/order-of- operations-definition http://www.virtualnerd.com/algebra-1/algebra- foundations/simplifying-expressions/order-of-operations/order-of- operations-examples

Evaluate using the order of operations. 3 + 4(2 + 2) = 2 + 6(2 -1)2 = 10 – 4(2) ÷ 2 = 20 ÷ 4 + 2(3) = 23 - 8 ÷ 2 =

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 23 - 8 ÷ 2 = 4

How do you simplify expressions? http://www.virtualnerd.com/algebra-1/algebra- foundations/simplifying-expressions/simplifying-expressions- examples/like-terms-definition

Directions: Use this page to complete the graphic organizer

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 = 6 + 6 + 3 + 4k + 5k + 2 =

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 6 + 6 + 3 + 4k + 5k + 2 = 9k + 17

Assessment: You need your text book Complete Page 413 #1 – 6 and 415 #21 – 26 We will put these in Engrade tomorrow.