5 Minute Check Complete on the back of your homework. Use the Distributive Property to rewrite each...
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5 Minute Check Complete on the back of your homework. Use the Distributive Property to rewrite each algebraic expression. 1. 4 (x + 2) 2. 5 (2x + 7) 3. 2( x + 4) 4. 6(5 + 2 x)
5 Minute Check Complete on the back of your homework. Use the Distributive Property to rewrite each algebraic expression. 1. 4 (x + 2) 2. 5 (2x + 7) 3
5 Minute Check Complete on the back of your homework. Use the
Distributive Property to rewrite each algebraic expression. 1. 4 (x
+ 2) 2. 5 (2x + 7) 3. 2( x + 4) 4. 6(5 + 2 x)
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5 Minute Check Complete on the back of your homework. Use the
Distributive Property to rewrite each algebraic expression. 1. 4 (x
+ 2)
Slide 3
5 Minute Check Complete on the back of your homework. Use the
Distributive Property to rewrite each algebraic expression. 1. 4 (x
+ 2) = 4x + 8
Slide 4
5 Minute Check Complete on the back of your homework. Use the
Distributive Property to rewrite each algebraic expression. 2. 5
(2x + 7)
Slide 5
5 Minute Check Complete on the back of your homework. Use the
Distributive Property to rewrite each algebraic expression. 2. 5
(2x + 7) = 10x + 35
Slide 6
5 Minute Check Complete on the back of your homework. Use the
Distributive Property to rewrite each algebraic expression. 3. 2( x
+ 4)
Slide 7
5 Minute Check Complete on the back of your homework. Use the
Distributive Property to rewrite each algebraic expression. 3. 2( x
+ 4) = 2x + 8
Slide 8
5 Minute Check Complete on the back of your homework. Use the
Distributive Property to rewrite each algebraic expression. 4. 6(5
+ 2 x)
Slide 9
5 Minute Check Complete on the back of your homework. Use the
Distributive Property to rewrite each algebraic expression. 4. 6(5
+ 2 x) = 30 + 12x
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Inquiry Lab
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Work with a partner and complete page 494
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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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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
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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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Thursday, Nov 6 Lesson 6.6.7 Equivalent Expressions
Slide 31
Objective: To understand how to use properties to simplify
expressions.
Slide 32
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.
Slide 34
Equivalent Expressions A term without a variable is called a
constant. e.g. 4x + 4 Constant.
Slide 35
Equivalent Expressions Like terms are terms that contain the
same variable. Only like terms can be added or subtracted. e.g. 4x
+ 6 + 5x Like terms
Slide 36
Equivalent Expressions To simplify an numeric or algebraic
expression, use properties to write an equivalent expression that
has no like terms and no parentheses. NumericAlgebraic 3 + 3 = 2(3)
or 6x + x = 2x
Slide 37
Equivalent Expressions Simplify the expression 6(4x)
Slide 38
Equivalent Expressions Simplify the expression 6(4x) According
to the Associative Property if an expression has all multiplication
or addition, we can remove the parenthesis. 6 4 x Can we perform
any operation?
Slide 39
Equivalent Expressions Simplify the expressions 6(4x) 24x
Slide 40
Equivalent Expressions Simplify the expression 11(3x) Do this
on your own.
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Equivalent Expressions Simplify the expression 11(3x) 33x
Slide 42
Equivalent Expressions Simplify the expression x + x + x Do
this on your own.
Slide 43
Equivalent Expressions Simplify the expression x + x + x 3x
When adding like terms, add the coefficients.
Slide 44
Equivalent Expressions Simplify the expression 5x + 3x + 6x Do
this on your own.
Equivalent Expressions Simplify the expression (14y + x) +
22y
Slide 47
Equivalent Expressions Simplify the expression (14y + x) + 22y
According to the Associative Property if an expression has all
multiplication or addition, we can remove the parenthesis. 14y + x
+ 22y Can we perform any operation?
Slide 48
Equivalent Expressions Simplify the expression (14y + x) + 22y
36y + x Remember you can only add or subtract like terms.
Slide 49
Equivalent Expressions Simplify the expression 3x + (9y + 2x)
Do this on your own.
Equivalent Expressions What is the sum of 4 and a number added
to 13 as an expression? Do this on your own.
Slide 58
Equivalent Expressions What is the sum of 4 and a number added
to 13 as an expression? 4 + n + 13 17 + n
Slide 59
Equivalent Expressions What is four sets of the sum a number
and 6 as an expression?
Slide 60
Equivalent Expressions What is four sets of the sum a number
and 6 as an expression? 4( n + 6) 4n + 24
Slide 61
Equivalent Expressions A farmers market sells fruit baskets.
Each basket has 3 apples and 1 pear. Use a to represent the cost of
each apple and p to represent the cost of each pear. Write and
simplify an expression that represents the total cost of 5 baskets.
What is in each group?
Slide 62
Equivalent Expressions A farmers market sells fruit baskets.
Each basket has 3 apples and 1 pear. Use a to represent the cost of
each apple and p to represent the cost of each pear. Write and
simplify an expression that represents the total cost of 5 baskets.
(3a + p) How many groups are there?
Slide 63
Equivalent Expressions A farmers market sells fruit baskets.
Each basket has 3 apples and 1 pear. Use a to represent the cost of
each apple and p to represent the cost of each pear. Write and
simplify an expression that represents the total cost of 5 baskets.
5(3a + p) Can we simplify?
Slide 64
Equivalent Expressions A farmers market sells fruit baskets.
Each basket has 3 apples and 1 pear. Use a to represent the cost of
each apple and p to represent the cost of each pear. Write and
simplify an expression that represents the total cost of 5 baskets.
5(3a + p) = 15a + 5p
Slide 65
Equivalent Expressions The gift bag from Claire Cosmetics
includes 5 bottles of nail polish and 2 tubes of lip gloss. Use p
to represent the cost of each bottle of nail polish and g to
represent the cost of each tube of lip gloss. Write and simplify an
expression that represents the total cost of 8 gift bags. Do this
on your own.
Slide 66
Equivalent Expressions The gift bag from Claire Cosmetics
includes 5 bottles of nail polish and 2 tubes of lip gloss. Use p
to represent the cost of each bottle of nail polish and g to
represent the cost of each tube of lip gloss. Write and simplify an
expression that represents the total cost of 8 gift bags. 8(5p +
2g) = 40p + 16g
Slide 67
Equivalent Expressions A fall candle gift set has 4 vanilla
candles and 6 pumpkin spice candles. Use v to represent the cost of
each vanilla candles and p to represent the cost of each pumpkin
spice candle. Write and simplify an expression that represents the
total cost of 4 sets. Do this on your own.
Slide 68
Equivalent Expressions A fall candle gift set has 4 vanilla
candles and 6 pumpkin spice candles. Use v to represent the cost of
each vanilla candles and p to represent the cost of each pumpkin
spice candle. Write and simplify an expression that represents the
total cost of 4 sets. 4(4v + 6p) = 16v + 24p
Slide 69
Equivalent Expressions Seven friends have similar cell phone
plans. The price of each plan is $x. Three of the seven friends pay
an extra $4 per month for unlimited texts. Write and simplify and
expression that represents the total cost of the seven plans. Do
this on your own.
Slide 70
Equivalent Expressions Seven friends have similar cell phone
plans. The price of each plan is $x. Three of the seven friends pay
an extra $4 per month for unlimited texts. Write and simplify and
expression that represents the total cost of the seven plans. 3(x +
4) + 4x = 3x + 12 + 4x = 7x + 12
Slide 71
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. Do this on your own.
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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 + 27 + 2x = 5x + 27
Slide 73
Equivalent Expressions Translate the verbal expression into an
Simplify. 7x + 5(x + 3) + 4x x - 2
Slide 74
Equivalent Expressions Translate the verbal expression into an
Simplify. 7x + 5(x + 3) + 4x x 2 7x + 5x + 15 + 4x x 2 15x +
13
Slide 75
Equivalent Expressions Translate the verbal expression into an
Simplify. 6 + 2(x 8) + 3x 11 + x
Slide 76
Equivalent Expressions Translate the verbal expression into an
Simplify. 6 + 2(x 8) + 3x 11 + x 6 + 2x 16 + 3x 11 + x 6x - 21
Slide 77
Equivalent Expressions Agenda Notes Homework Homework Practice
6.6.7 Due Friday, Nov 7 Chapter 6.6 Test Monday, Nov 10 Accum Rev 6
due Nov 10
