1) variables 2) algebraic expression 3) factors 4) product variables and expressions write...
TRANSCRIPT
1) variables2) algebraic expression3) factors4) product
Variables and Expressions
Write mathematical expressions for verbal expressions.
Write verbal expressions for mathematical expressions.
5) power6) base7) exponent8) evaluate
What algebraic expression can be used to find the perimeter of the triangle below?
a b
c
Variables and Expressions
What algebraic expression can be used to find the perimeter of the triangle below?
a b
c
Perimeter = a + b + c
Variables and Expressions
What algebraic expression can be used to find the perimeter of the triangle below?
a b
c
Perimeter = a + b + c
In this algebraic expression, the letters a, b, and c are called ________.
Variables and Expressions
What algebraic expression can be used to find the perimeter of the triangle below?
a b
c
Perimeter = a + b + c
In this algebraic expression, the letters a, b, and c are called ________.variables
Variables and Expressions
What algebraic expression can be used to find the perimeter of the triangle below?
a b
c
Perimeter = a + b + c
In this algebraic expression, the letters a, b, and c are called ________.variables
In algebra, variables are symbols used to represent unspecified numbers or values.
Variables and Expressions
What algebraic expression can be used to find the perimeter of the triangle below?
a b
c
Perimeter = a + b + c
In this algebraic expression, the letters a, b, and c are called ________.variables
In algebra, variables are symbols used to represent unspecified numbers or values.
NOTE: Any letter may be used as a variable.
Variables and Expressions
An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations.
Variables and Expressions
An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations.
Examples:
x5
Variables and Expressions
An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations.
Examples:
x5 73 x
Variables and Expressions
An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations.
Examples:
x5 73 xq
p4
Variables and Expressions
An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations.
Examples:
x5 73 xq
p4 cdab 53
Variables and Expressions
An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations.
Examples:
x5 73 xq
p4 cdab 53
In algebraic expressions, we often use a dot or parentheses to indicate multiplication.This is so we don’t mistake the symbol X for the letter (variable) x.
Variables and Expressions
An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations.
Examples:
x5 73 xq
p4 cdab 53
In algebraic expressions, we often use a dot or parentheses to indicate multiplication.This is so we don’t mistake the symbol X for the letter (variable) x.
Examples:
xy yx yx yx
Variables and Expressions
An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations.
Examples:
x5 73 xq
p4 cdab 53
In algebraic expressions, we often use a dot or parentheses to indicate multiplication.This is so we don’t mistake the symbol X for the letter (variable) x.
Examples:
xy yx yx yx
In each expression, the quantities being multiplied are called _______,
and the result is called the _______.
Variables and Expressions
An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations.
Examples:
x5 73 xq
p4 cdab 53
In algebraic expressions, we often use a dot or parentheses to indicate multiplication.This is so we don’t mistake the symbol X for the letter (variable) x.
Examples:
xy yx yx yx
In each expression, the quantities being multiplied are called _______,factors
and the result is called the _______.
Variables and Expressions
An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations.
Examples:
x5 73 xq
p4 cdab 53
In algebraic expressions, we often use a dot or parentheses to indicate multiplication.This is so we don’t mistake the symbol X for the letter (variable) x.
Examples:
xy yx yx yx
In each expression, the quantities being multiplied are called _______,factors
and the result is called the _______.product
Variables and Expressions
It is often necessary to translate verbal expressions into algebraic expressions.
Variables and Expressions
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than
Variables and Expressions
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than addition
Variables and Expressions
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than
less than
addition
Variables and Expressions
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than
less than
addition
subtraction
Variables and Expressions
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than
less than
product
addition
subtraction
Variables and Expressions
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than
less than
product
addition
subtraction
multiplication
Variables and Expressions
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than
less than
product
addition
subtraction
multiplication
of
Variables and Expressions
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than
less than
product
addition
subtraction
multiplication
of multiplication
quotient
Variables and Expressions
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than
less than
product
addition
subtraction
multiplication
of multiplication
quotient division
Variables and Expressions
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than
less than
product
addition
subtraction
multiplication
of multiplication
quotient divisionWrite an algebraic expression for eachverbal expression:
Variables and Expressions
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than
less than
product
addition
subtraction
multiplication
of multiplication
quotient divisionWrite an algebraic expression for eachverbal expression:
a) Eight more than a number n. translates to
Variables and Expressions
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than
less than
product
addition
subtraction
multiplication
of multiplication
quotient divisionWrite an algebraic expression for eachverbal expression:
a) Eight more than a number n. 8 + ntranslates to
Variables and Expressions
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than
less than
product
addition
subtraction
multiplication
of multiplication
quotient divisionWrite an algebraic expression for eachverbal expression:
a) Eight more than a number n. 8 + ntranslates to
b) Seven less the product of 4 and a number x. translates to
Variables and Expressions
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than
less than
product
addition
subtraction
multiplication
of multiplication
quotient divisionWrite an algebraic expression for eachverbal expression:
a) Eight more than a number n. 8 + ntranslates to
b) Seven less the product of 4 and a number x. 7 – 4xtranslates to
c) One third of the size of the area a. translates to
Variables and Expressions
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than
less than
product
addition
subtraction
multiplication
of multiplication
quotient divisionWrite an algebraic expression for eachverbal expression:
a) Eight more than a number n. 8 + ntranslates to
b) Seven less the product of 4 and a number x. 7 – 4xtranslates to
c) One third of the size of the area a. translates to or a3
1
3
a
Variables and Expressions
An expression like xn is called a ______, and is read, “x to the nth power.”
Variables and Expressions
An expression like xn is called a ______,power and is read, “x to the nth power.”
Variables and Expressions
An expression like xn is called a ______,power and is read, “x to the nth power.”
The variable x is called the ____, and n is called the ________.
Variables and Expressions
An expression like xn is called a ______,power and is read, “x to the nth power.”
The variable x is called the ____, and n is called the ________.base exponent
Variables and Expressions
An expression like xn is called a ______,power and is read, “x to the nth power.”
The variable x is called the ____, and n is called the ________.base exponent
The exponent indicates the number of times the _____ is used as a ______.
Variables and Expressions
An expression like xn is called a ______,power and is read, “x to the nth power.”
The variable x is called the ____, and n is called the ________.base exponent
The exponent indicates the number of times the _____ is used as a ______.base factor
Variables and Expressions
An expression like xn is called a ______,power and is read, “x to the nth power.”
The variable x is called the ____, and n is called the ________.base exponent
The exponent indicates the number of times the _____ is used as a ______.base factor
exponent
base 46
power
4 4 4 4 4 4 6 factors of 4
Variables and Expressions
An expression like xn is called a ______,power and is read, “x to the nth power.”
The variable x is called the ____, and n is called the ________.base exponent
The exponent indicates the number of times the _____ is used as a ______.base factor
exponent
base 46
power
4 4 4 4 4 4 6 factors of 4
NOTE: It is extremely important that you identify the base correctly. The base is exactly what the exponent is operating on (sitting on top of).
Variables and Expressions
An expression like xn is called a ______,power and is read, “x to the nth power.”
The variable x is called the ____, and n is called the ________.base exponent
The exponent indicates the number of times the _____ is used as a ______.base factor
exponent
base 46
power
4 4 4 4 4 4 6 factors of 4
NOTE: It is extremely important that you identify the base correctly. The base is exactly what the exponent is operating on (sitting on top of).
2 25 (5 )x x5 (5 ) (5 )x x x x
2 25 25x x
base is only the x base is the ( ) and everything in it.
Variables and Expressions
Symbols Words Meaning
41
42
43
44
3b5
xn
Variables and Expressions
Symbols Words Meaning
41
42
43
44
3b5
xn
4 to the first power 4
Variables and Expressions
Symbols Words Meaning
41
42
43
44
3b5
xn
4 to the first power
4 to the second power or 4 squared
4
44
Variables and Expressions
Symbols Words Meaning
41
42
43
44
3b5
xn
4 to the first power
4 to the second power or 4 squared
4 to the third power or 4 cubed
4
44
444
Variables and Expressions
Symbols Words Meaning
41
42
43
44
3b5
xn
4 to the first power
4 to the second power or 4 squared
4 to the third power or 4 cubed
4 to the fourth power
4
44
444
4444
Variables and Expressions
Symbols Words Meaning
41
42
43
44
3b5
xn
4 to the first power
4 to the second power or 4 squared
4 to the third power or 4 cubed
4 to the fourth power
3 times b to the fifth power
4
44
444
4444
bbbbb 3
Variables and Expressions
Symbols Words Meaning
41
42
43
44
3b5
xn
4 to the first power
4 to the second power or 4 squared
4 to the third power or 4 cubed
4 to the fourth power
3 times b to the fifth power
x to the nth power
4
44
444
4444
bbbbb 3
xxxx . . .
Variables and Expressions
To evaluate an expression means to ____________.
Variables and Expressions
To evaluate an expression means to ____________.find its value
Variables and Expressions
To evaluate an expression means to ____________.find its value
Evaluate each expression:
24 = 2222
= 16
53 = 555
= 125
Variables and Expressions
To evaluate an expression means to ____________.find its value
Evaluate each expression:
24 = 2222
= 16
53 = 555
= 125
22 22 25 55 28 88 211 1111
Variables and Expressions
To evaluate an expression means to ____________.find its value
Evaluate each expression:
24 = 2222
= 16
53 = 555
= 125
22 22 = 4
25 55= 25
28 88= 64
211 1111= 121
Variables and Expressions
To evaluate an expression means to ____________.find its value
Evaluate each expression:
24 = 2222
= 16
53 = 555
= 125
22 22 = 4
23 33
25 55= 25
26 66
28 88= 64
29 99
211 1111= 121
212 1212
Variables and Expressions
To evaluate an expression means to ____________.find its value
Evaluate each expression:
24 = 2222
= 16
53 = 555
= 125
22 22 = 4
23 33= 9
25 55= 25
26 66= 36
28 88= 64
29 99= 81
211 1111= 121
212 1212 = 144
Variables and Expressions
To evaluate an expression means to ____________.find its value
Evaluate each expression:
24 = 2222
= 16
53 = 555
= 125
22 22 = 4
23 33= 9
24 44
25 55= 25
26 66= 36
27 77
28 88= 64
29 99= 81
210 1010
211 1111= 121
212 1212 = 144
213 1313
Variables and Expressions
To evaluate an expression means to ____________.find its value
Evaluate each expression:
24 = 2222
= 16
53 = 555
= 125
22 22 = 4
23 33= 9
24 44 = 16
25 55= 25
26 66= 36
27 77 = 49
28 88= 64
29 99= 81
210 1010= 100
211 1111= 121
212 1212 = 144
213 1313= 169
Variables and Expressions
Find the perimeter of the triangle.The dimensions are in feet.
a b
c
= 8
= 17
= 15
Variables and Expressions
Find the perimeter of the triangle.The dimensions are in feet.
a b
c
Perimeter = a + b + c Write the expression.
= 8
= 17
= 15
Variables and Expressions
Find the perimeter of the triangle.The dimensions are in feet.
a b
c
Perimeter = a + b + c Write the expression.
= 8 + 15 + 17 Substitute values.
= 8
= 17
= 15
Variables and Expressions
Find the perimeter of the triangle.The dimensions are in feet.
a b
c
Perimeter = a + b + c Write the expression.
= 8 + 15 + 17 Substitute values.
= 40 Simplify.
= 8
= 17
= 15
Variables and Expressions
Find the perimeter of the triangle.The dimensions are in feet.
a b
c
Perimeter = a + b + c Write the expression.
= 8 + 15 + 17 Substitute values.
= 40 Simplify.
The triangle has a perimeter of 40 feet.
= 8
= 17
= 15
Variables and Expressions
Exponents often are used in the formula for area and volume. In fact, the wordsquared comes from the formula for the area of a square.
s
s
Area of a square: A = s2
The word cubed comes from the formula for the volume of a cube.
ss
s
Volume of Cube: V = s3
Variables and Expressions
Evaluate the expression for the given values of the variables.
c3 + d when c = 4 and d = 16
Variables and Expressions
Evaluate the expression for the given values of the variables.
c3 + d when c = 4 and d = 16
16444 1643
Variables and Expressions
Evaluate the expression for the given values of the variables.
c3 + d when c = 4 and d = 16
16444 1643 1646
08
Variables and Expressions
Evaluate the expression for the given values of the variables.
c3 + d when c = 4 and d = 16
Each dimension of the cubical storage space inside a fireproofsafe is 12 inches. What is the volume of the storage space?
12 in
12 in
12 in
16444 1643 1646
08
Variables and Expressions
Evaluate the expression for the given values of the variables.
c3 + d when c = 4 and d = 16
Each dimension of the cubical storage space inside a fireproofsafe is 12 inches. What is the volume of the storage space?
12 in
12 in
12 in
16444 1643 1646
08
312 inV
Variables and Expressions
Evaluate the expression for the given values of the variables.
c3 + d when c = 4 and d = 16
Each dimension of the cubical storage space inside a fireproofsafe is 12 inches. What is the volume of the storage space?
12 in
12 in
12 in
16444 1643 1646
08
312 inV
ininin 121212
Variables and Expressions
Evaluate the expression for the given values of the variables.
c3 + d when c = 4 and d = 16
Each dimension of the cubical storage space inside a fireproofsafe is 12 inches. What is the volume of the storage space?
12 in
12 in
12 in
16444 1643 1646
08
312 inV
ininin 121212 3in 1728
Variables and Expressions
