distributive property (algebra 1)
DESCRIPTION
Students learn how to use the Distributive Property.TRANSCRIPT
1) term2) like terms3) equivalent expressions4) simplest form5) coefficient
The Distributive Property The Distributive Property
Use the Distributive Property to evaluate expressions. Use the Distributive Property to simplify expressions.
The Distributive Property The Distributive Property
Eight customers each bought a bargaingame and a new release.
Calculate the total sales for these customers.
The Distributive Property The Distributive Property
Eight customers each bought a bargaingame and a new release.
Calculate the total sales for these customers.
There are two methods you could use to calculate the video game sales.
gamesbargain
of sales
releases new
of sales
customers
ofnumber X
price purchase
scustomer'each
The Distributive Property The Distributive Property
Eight customers each bought a bargaingame and a new release.
Calculate the total sales for these customers.
There are two methods you could use to calculate the video game sales.
gamesbargain
of sales
releases new
of sales
customers
ofnumber X
price purchase
scustomer'each
95.148 95.348
60.27960.119 20.399
The Distributive Property The Distributive Property
Eight customers each bought a bargaingame and a new release.
Calculate the total sales for these customers.
There are two methods you could use to calculate the video game sales.
gamesbargain
of sales
releases new
of sales
customers
ofnumber X
price purchase
scustomer'each
95.148 95.348 8 X 95.3495.14
60.27960.119 20.399
90.498
20.399
The Distributive Property The Distributive Property
Eight customers each bought a bargaingame and a new release.
Calculate the total sales for these customers.
There are two methods you could use to calculate the video game sales.
gamesbargain
of sales
releases new
of sales
customers
ofnumber X
price purchase
scustomer'each
This is an example of the ____________________.
95.148 95.348 8 X 95.3495.14
60.27960.119 20.399
90.498
20.399
The Distributive Property The Distributive Property
Eight customers each bought a bargaingame and a new release.
Calculate the total sales for these customers.
There are two methods you could use to calculate the video game sales.
gamesbargain
of sales
releases new
of sales
customers
ofnumber X
price purchase
scustomer'each
This is an example of the ____________________.Distributive Property
95.148 95.348 8 X 95.3495.14
60.27960.119 20.399
90.498
20.399
The Distributive Property The Distributive Property
For any numbers, a, b, and c,
The Distributive Property The Distributive Property
For any numbers, a, b, and c,
a ( b + c ) =
The Distributive Property The Distributive Property
For any numbers, a, b, and c,
a ( b + c ) = ab + ac
The Distributive Property The Distributive Property
For any numbers, a, b, and c,
a ( b + c ) = ab + ac and ( b + c ) a =
The Distributive Property The Distributive Property
For any numbers, a, b, and c,
a ( b + c ) = ab + ac and ( b + c ) a = ba + ca
The Distributive Property The Distributive Property
For any numbers, a, b, and c,
a ( b + c ) = ab + ac and ( b + c ) a = ba + ca
a ( b – c ) =
The Distributive Property The Distributive Property
For any numbers, a, b, and c,
a ( b + c ) = ab + ac and ( b + c ) a = ba + ca
a ( b – c ) = ab – ac
The Distributive Property The Distributive Property
For any numbers, a, b, and c,
a ( b + c ) = ab + ac and ( b + c ) a = ba + ca
a ( b – c ) = ab – ac and ( b – c ) a =
The Distributive Property The Distributive Property
For any numbers, a, b, and c,
a ( b + c ) = ab + ac and ( b + c ) a = ba + ca
a ( b – c ) = ab – ac and ( b – c ) a = ba – ca
The Distributive Property The Distributive Property
Rewrite 8(10 + 4) using the Distributive Property. Then evaluate.
The Distributive Property The Distributive Property
Rewrite 8(10 + 4) using the Distributive Property. Then evaluate.
48108
The Distributive Property The Distributive Property
Rewrite 8(10 + 4) using the Distributive Property. Then evaluate.
48108
3280
The Distributive Property The Distributive Property
Rewrite 8(10 + 4) using the Distributive Property. Then evaluate.
48108
3280 112
The Distributive Property The Distributive Property
Rewrite 8(10 + 4) using the Distributive Property. Then evaluate.
Rewrite (12 – 4)6 using the Distributive Property. Then evaluate.
48108
3280 112
The Distributive Property The Distributive Property
Rewrite 8(10 + 4) using the Distributive Property. Then evaluate.
Rewrite (12 – 4)6 using the Distributive Property. Then evaluate.
48108
3280 112
46126
The Distributive Property The Distributive Property
Rewrite 8(10 + 4) using the Distributive Property. Then evaluate.
Rewrite (12 – 4)6 using the Distributive Property. Then evaluate.
48108
3280 112
46126
2472
The Distributive Property The Distributive Property
Rewrite 8(10 + 4) using the Distributive Property. Then evaluate.
Rewrite (12 – 4)6 using the Distributive Property. Then evaluate.
48108
3280 112
46126
2472 48
The Distributive Property The Distributive Property
A family owns two cars.In 1995, they drove the first car 18,000 milesand the second car 16,000 miles.
Use the graph to find the total cost of operating both cars.
The Distributive Property The Distributive Property
A family owns two cars.In 1995, they drove the first car 18,000 milesand the second car 16,000 miles.
Use the graph to find the total cost of operating both cars.
000,16000,1846.0
The Distributive Property The Distributive Property
A family owns two cars.In 1995, they drove the first car 18,000 milesand the second car 16,000 miles.
Use the graph to find the total cost of operating both cars.
000,16000,1846.0
73608280
The Distributive Property The Distributive Property
A family owns two cars.In 1995, they drove the first car 18,000 milesand the second car 16,000 miles.
Use the graph to find the total cost of operating both cars.
000,16000,1846.0
73608280 640,15
The Distributive Property The Distributive Property
A family owns two cars.In 1995, they drove the first car 18,000 milesand the second car 16,000 miles.
Use the graph to find the total cost of operating both cars.
000,16000,1846.0
73608280 640,15
It cost the family $15,640 to operate their two cars.
The Distributive Property The Distributive Property
Rewrite 4(r – 6) using the Distributive Property. Then simplify.
The Distributive Property The Distributive Property
Rewrite 4(r – 6) using the Distributive Property. Then simplify.
64 r
The Distributive Property The Distributive Property
Rewrite 4(r – 6) using the Distributive Property. Then simplify.
64 r
644 r
The Distributive Property The Distributive Property
Rewrite 4(r – 6) using the Distributive Property. Then simplify.
64 r
644 r
244 r
The Distributive Property The Distributive Property
A term is a ________, a _________, or a ________ or _________of numbers and variables.
The Distributive Property The Distributive Property
A term is a ________, a _________, or a ________ or _________of numbers and variables.
number
The Distributive Property The Distributive Property
A term is a ________, a _________, or a ________ or _________of numbers and variables.
variablenumber
The Distributive Property The Distributive Property
A term is a ________, a _________, or a ________ or _________of numbers and variables.
variablenumber product
The Distributive Property The Distributive Property
A term is a ________, a _________, or a ________ or _________of numbers and variables.
variablenumber product quotient
The Distributive Property The Distributive Property
A term is a ________, a _________, or a ________ or _________of numbers and variables.
variablenumber product quotient
Example: y, 8g2h are all terms. 4a, p3 , and
The Distributive Property The Distributive Property
A term is a ________, a _________, or a ________ or _________of numbers and variables.
variablenumber product quotient
Example: y, 8g2h are all terms. 4a, p3 , and
Like terms are terms that contain the same _______, with corresponding variableshaving the same ______.
The Distributive Property The Distributive Property
A term is a ________, a _________, or a ________ or _________of numbers and variables.
variablenumber product quotient
Example: y, 8g2h are all terms. 4a, p3 , and
Like terms are terms that contain the same _______, with corresponding variableshaving the same ______.
variable
The Distributive Property The Distributive Property
A term is a ________, a _________, or a ________ or _________of numbers and variables.
variablenumber product quotient
Example: y, 8g2h are all terms. 4a, p3 , and
Like terms are terms that contain the same _______, with corresponding variableshaving the same ______.
variablepower
The Distributive Property The Distributive Property
A term is a ________, a _________, or a ________ or _________of numbers and variables.
variablenumber product quotient
Example: y, 8g2h are all terms. 4a, p3 , and
Like terms are terms that contain the same _______, with corresponding variableshaving the same ______.
variablepower
562 2 xx
The Distributive Property The Distributive Property
A term is a ________, a _________, or a ________ or _________of numbers and variables.
variablenumber product quotient
Example: y, 8g2h are all terms. 4a, p3 , and
Like terms are terms that contain the same _______, with corresponding variableshaving the same ______.
variablepower
562 2 xx
three terms
The Distributive Property The Distributive Property
A term is a ________, a _________, or a ________ or _________of numbers and variables.
variablenumber product quotient
Example: y, 8g2h are all terms. 4a, p3 , and
Like terms are terms that contain the same _______, with corresponding variableshaving the same ______.
variablepower
562 2 xx yyy 563 22
three terms
The Distributive Property The Distributive Property
A term is a ________, a _________, or a ________ or _________of numbers and variables.
variablenumber product quotient
Example: y, 8g2h are all terms. 4a, p3 , and
Like terms are terms that contain the same _______, with corresponding variableshaving the same ______.
variablepower
562 2 xx yyy 563 22
three terms like terms
The Distributive Property The Distributive Property
A term is a ________, a _________, or a ________ or _________of numbers and variables.
variablenumber product quotient
Example: y, 8g2h are all terms. 4a, p3 , and
Like terms are terms that contain the same _______, with corresponding variableshaving the same ______.
variablepower
562 2 xx yyy 563 22
three terms like terms unlike terms
The Distributive Property The Distributive Property
The Distributive Property and the properties of equality can be used to show that
5n + 7n = 12n
5n and 7n are __________.
The Distributive Property The Distributive Property
The Distributive Property and the properties of equality can be used to show that
5n + 7n = 12n
5n and 7n are __________.like terms
The Distributive Property The Distributive Property
The Distributive Property and the properties of equality can be used to show that
5n + 7n = 12n
5n and 7n are __________.like terms
nnn )75(75
The Distributive Property The Distributive Property
The Distributive Property and the properties of equality can be used to show that
5n + 7n = 12n
5n and 7n are __________.like terms
nnn )75(75
The expressions 5n + 7n and 12n are called ______________________ becausethey denote the same number.
The Distributive Property The Distributive Property
The Distributive Property and the properties of equality can be used to show that
5n + 7n = 12n
5n and 7n are __________.like terms
nnn )75(75
The expressions 5n + 7n and 12n are called ______________________ becausethey denote the same number.
equivalent expressions
The Distributive Property The Distributive Property
The Distributive Property and the properties of equality can be used to show that
5n + 7n = 12n
5n and 7n are __________.like terms
nnn )75(75
The expressions 5n + 7n and 12n are called ______________________ becausethey denote the same number.
equivalent expressions
An expression is in simplest form when it is replaced by an equivalent expressionhaving no __________ or ____________.
The Distributive Property The Distributive Property
The Distributive Property and the properties of equality can be used to show that
5n + 7n = 12n
5n and 7n are __________.like terms
nnn )75(75
The expressions 5n + 7n and 12n are called ______________________ becausethey denote the same number.
equivalent expressions
An expression is in simplest form when it is replaced by an equivalent expressionhaving no __________ or ____________.like terms
The Distributive Property The Distributive Property
The Distributive Property and the properties of equality can be used to show that
5n + 7n = 12n
5n and 7n are __________.like terms
nnn )75(75
The expressions 5n + 7n and 12n are called ______________________ becausethey denote the same number.
equivalent expressions
An expression is in simplest form when it is replaced by an equivalent expressionhaving no __________ or ____________.like terms parentheses
The Distributive Property The Distributive Property
Simplify each expression.
xxa 117 )
The Distributive Property The Distributive Property
Simplify each expression.
xxa 117 ) x18
The Distributive Property The Distributive Property
Simplify each expression.
xxa 117 )
22 4139 ) nnnb
x18
The Distributive Property The Distributive Property
Simplify each expression.
xxa 117 )
22 4139 ) nnnb
x18
2179 nn
The Distributive Property The Distributive Property
Simplify each expression.
xxa 117 )
22 4139 ) nnnb
yyc31
61
) x18
2179 nn
The Distributive Property The Distributive Property
Simplify each expression.
xxa 117 )
22 4139 ) nnnb
yyc31
61
) x18
2179 nn
yy6
2
6
1
The Distributive Property The Distributive Property
Simplify each expression.
xxa 117 )
22 4139 ) nnnb
yyc31
61
) x18
2179 nn
yy6
2
6
1
y6
3
The Distributive Property The Distributive Property
Simplify each expression.
xxa 117 )
22 4139 ) nnnb
yyc31
61
) x18
2179 nn
yy6
2
6
1
y6
3
y2
1
The Distributive Property The Distributive Property
Like terms may be defined as terms that are the same or vary only by the coefficient.
Study Tip!
The Distributive Property The Distributive Property
Like terms may be defined as terms that are the same or vary only by the coefficient.
Study Tip!
The coefficient of a term is the _______________.
The Distributive Property The Distributive Property
Like terms may be defined as terms that are the same or vary only by the coefficient.
Study Tip!
The coefficient of a term is the _______________.numerical factor
The Distributive Property The Distributive Property
Like terms may be defined as terms that are the same or vary only by the coefficient.
Study Tip!
The coefficient of a term is the _______________.numerical factor
Example: in the term 17xy, the coefficient is ____.
The Distributive Property The Distributive Property
Like terms may be defined as terms that are the same or vary only by the coefficient.
Study Tip!
The coefficient of a term is the _______________.numerical factor
Example: in the term 17xy, the coefficient is ____.17
The Distributive Property The Distributive Property
Like terms may be defined as terms that are the same or vary only by the coefficient.
Study Tip!
The coefficient of a term is the _______________.numerical factor
Example: in the term 17xy, the coefficient is ____.17
ist coefficien the4
3 termin the
2x
The Distributive Property The Distributive Property
Like terms may be defined as terms that are the same or vary only by the coefficient.
Study Tip!
The coefficient of a term is the _______________.numerical factor
Example: in the term 17xy, the coefficient is ____.17
ist coefficien the4
3 termin the
2x43
The Distributive Property The Distributive Property
Find the perimeter of the rectangle.
The Distributive Property The Distributive Property
Find the perimeter of the rectangle.
9in 5in 2 P
The Distributive Property The Distributive Property
Find the perimeter of the rectangle.
9in 5in 2 P
14in2
The Distributive Property The Distributive Property
Find the perimeter of the rectangle.
9in 5in 2 P
14in2
8in2
The Distributive Property The Distributive Property
Find the perimeter of the rectangle.
9in 5in 2 P
14in2
8in2
9in25in2 P
The Distributive Property The Distributive Property
Find the perimeter of the rectangle.
9in 5in 2 P
14in2
8in2
9in25in2 P
18in10in
The Distributive Property The Distributive Property
Find the perimeter of the rectangle.
9in 5in 2 P
14in2
8in2
9in25in2 P
18in10in
8in2
The Distributive Property The Distributive Property
Find the perimeter of the rectangle.
9in 5in 2 P
14in2
8in2
9in25in2 P
18in10in
8in2
The perimeter of the rectangle is 28 inches.
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