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5 Minute Check Complete in your notes. Factor each expression. 1. 4x x x x
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5 Minute Check Complete in your notes. Factor each expression. 1. 4x x x x
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5 Minute Check Complete in your notes. Factor each expression. 1. 4x + 8
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5 Minute Check Complete in your notes. Factor each expression. 1. 4x + 8 4(x + 2)
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5 Minute Check Complete in your notes. Factor each expression x + 35
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5 Minute Check Complete in your notes. Factor each expression x (2x + 7)
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5 Minute Check Complete in your notes. Factor each expression x + 81
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5 Minute Check Complete in your notes. Factor each expression x (2x + 9)
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5 Minute Check Complete in your notes. Factor each expression x
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5 Minute Check Complete in your notes. Factor each expression x 6(7 + 3x)
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OST Test Prep A company manufactures small, solid, plastic cubes. They use the expression sᶾ, where s is the length of a side, to find the volume of plastic needed to make a cube. Luis claims that the volume of plastic needed to make a cube with a side length 8 millimeters is 24 cubic millimeters. Is he correct? Explain why.
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OST Test Prep sᶾ, where s = 8 8 ∙ 8 ∙ 8 64 ∙ 8 512 He is not correct.
A company manufactures small, solid, plastic cubes. They use the expression sᶾ, where s is the length of a side, to find the volume of plastic needed to make a cube. Luis claims that the volume of plastic needed to make a cube with a side length 8 millimeters is 24 cubic millimeters. Is he correct? Explain why. sᶾ, where s = 8 8 ∙ 8 ∙ 8 64 ∙ 8 512 He is not correct.
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What fraction is LeBron of Paul?
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What fraction is LeBron of Paul?
What fraction is the average guy of Paul?
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What fraction is LeBron of Paul?
Questions to be answered: What do we know? What is a prediction that is too low? What is a prediction that is too high? Can we make an accurate prediction or is there additional information that is needed to make a prediction? What fraction is the average guy of Paul?
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What fraction is LeBron of Paul?
Questions to be answered: What do we know? What is a prediction that is too low? What is a prediction that is too high? Can we make an accurate prediction or is there additional information that is needed to make a prediction?
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Inquiry Lab Work with a partner and complete page 294
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Inquiry Lab Work with a partner and complete page 294
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Inquiry Lab Work with a partner and complete page 294
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Lesson 6.7 Equivalent Expressions
Wednesday, Jan 18 Lesson 6.7 Equivalent Expressions
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Equivalent Expressions
Objective: To understand how to use properties to simplify expressions.
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Equivalent Expressions
A term can be a single number or variable or numbers and variables multiplied together and separated by addition or subtraction. e.g. 4x + 4 This expression has 2 terms.
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Equivalent Expressions
A coefficient is the numerical factor of a term that contains a variable. e.g. 4x + 4 In this expression there is only one term that has a variable and the coefficient is 4.
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Equivalent Expressions
A term without a variable is called a constant. e.g. 4x + 4 Constant.
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Equivalent Expressions
Like terms are terms that contain the same variable. Only like terms and constants can be added or subtracted. e.g. 4x x Like terms
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Equivalent Expressions
Complete on the back of your homework. Simplify – ( 4 + 2²) + 3³ 10 – ( 4 + 4) + 3³ 10 – 8 + 3³
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Equivalent Expressions
To simplify an algebraic expression, use properties to write an equivalent expression that has no like terms and no parentheses. Numbers Variables = 2(3) or 6 x + x = 2x
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Equivalent Expressions
Simplify the expression. 3(4x)
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Equivalent Expressions
Simplify the expression. 3(4x) According to the Associative Property if an expression has all multiplication or all addition, we can remove the parenthesis. 3 · 4 · x Can we perform any operation?
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Equivalent Expressions
Simplify the expression. 3(4x)
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Equivalent Expressions
Simplify the expression. 3(4x) If we had 3 times this, how many x’s would we have?
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Equivalent Expressions
Simplify the expression. 3(4x)
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Equivalent Expressions
Simplify the expression. 3(4x) 12x Unlike terms can be multiplied and divided. Apply the operation to the coefficients and /or numbers.
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Equivalent Expressions
Simplify the expression. 11 · 3x Do this on your own.
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Equivalent Expressions
Simplify the expression. 11 · 3x 33x
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Equivalent Expressions
Simplify the expression 5x + 3x + 6x
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Equivalent Expressions
Simplify the expression. 5x + 3x + 6x
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Equivalent Expressions
Simplify the expression 5x + 3x + 6x 8x + 6x 14x Like terms can be added and subtracted. When adding or subtracting like terms, add or subtract the coefficients.
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Equivalent Expressions
Simplify the expression. 64s – 7s
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Equivalent Expressions
Simplify the expression. 64s – 7s 57s
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Equivalent Expressions
Simplify the expression 4(2x + y)
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Equivalent Expressions
Simplify the expression 4(2x + y) 8x + 4y Remember – you must distribute the factor outside the parenthesis to both terms inside .
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Equivalent Expressions
Simplify the expression. 6(f + 7)
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Equivalent Expressions
Simplify the expression. 6(f + 7) 6f + 42
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Equivalent Expressions
Properties can be used to simplify or factor expressions with two variables. Compare the effects of operations on numbers to the effects of operations on variables. Numbers Variables x + x + y x + y 10
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Equivalent Expressions
Simplify the expression. 3x + 5y + 2x
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Equivalent Expressions
Simplify the expression. 3x + 5y + 2x + + How many x tiles are there?
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Equivalent Expressions
Simplify the expression. 3x + 5y + 2x + + 5x
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Equivalent Expressions
Simplify the expression. 3x + 5y + 2x + + How many y tiles are there? 5x
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Equivalent Expressions
Simplify the expression. 3x + 5y + 2x + + 5x + 5y
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Equivalent Expressions
Simplify the expression. 8b + 5 – 5b
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Equivalent Expressions
Simplify the expression. 8b + 5 – 5b 3b + 5
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Equivalent Expressions
Simplify the expression. (6x + 21c) + 14x
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Equivalent Expressions
Simplify the expression. (6x + 21c) + 14x 20x + 21c
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Equivalent Expressions
Simplify the expression. 6(7g+ 4h)
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Equivalent Expressions
Simplify the expression. 6(7g+ 4h) 42g + 24h Unlike terms can not be added.
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Equivalent Expressions
Simplify the expression. 3(5b + h) + 6h
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Equivalent Expressions
Simplify the expression. 3(5b + h) + 6h 15b + 3h + 6h 15b + 9h
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Equivalent Expressions
Simplify the expression 9(3x + 2y)
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Equivalent Expressions
Simplify the expression 9(3x + 2y) 27x + 18y
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Equivalent Expressions
Factor the expression. 27x + 18y Remember – find the GCF of the coefficients.
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Equivalent Expressions
Factor the expression. 27x + 18y 9(3x + 2y)
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Equivalent Expressions
Factor the expression. 18a + 24b
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Equivalent Expressions
Factor the expression. 18a + 24b 6(3a + 4b)
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Equivalent Expressions
Mikayla bought five skirts at $x each. Three of the five skirts came with a matching top for an additional $9 each. Write and simplify an expression that represents the total cost of her purchase.
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Equivalent Expressions
Mikayla bought five skirts at $x each. Three of the five skirts came with a matching top for an additional $9 each. Write and simplify an expression that represents the total cost of her purchase. What is the expression that represent the a skirt that came with a top?
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Equivalent Expressions
Mikayla bought five skirts at $x each. Three of the five skirts came with a matching top for an additional $9 each. Write and simplify an expression that represents the total cost of her purchase. x + 9 How many of those are there and how do we notate that?
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Equivalent Expressions
Mikayla bought five skirts at $x each. Three of the five skirts came with a matching top for an additional $9 each. Write and simplify an expression that represents the total cost of her purchase. 3(x + 9) What is the expression that represent the skirts that came without tops?
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Equivalent Expressions
Mikayla bought five skirts at $x each. Three of the five skirts came with a matching top for an additional $9 each. Write and simplify an expression that represents the total cost of her purchase. 3(x + 9) + 2x Can we simplify this?
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Equivalent Expressions
Mikayla bought five skirts at $x each. Three of the five skirts came with a matching top for an additional $9 each. Write and simplify an expression that represents the total cost of her purchase. 3(x + 9) + 2x 3x x 5x + 27
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Equivalent Expressions
Translate the verbal expression into an Simplify. 7x + 5(x + 3) + 4x – x - 2
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Equivalent Expressions
Translate the verbal expression into an Simplify. 7x + 5(x + 3) + 4x – x – 2 7x + 5x x – x – 2 15x + 13
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Equivalent Expressions
Complete on the back of your homework. Simplify – ( 4 + 2²) + 3³ 10 – ( 4 + 4) + 3³ 10 – 8 + 3³
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Equivalent Expressions
Agenda Notes Skills Practice 6.7 Due Thursday, Jan 19 Help session Thursday, Jan 19 – 2:10-2:40 Chapter 6 Test Friday, Jan 20
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