variables & expressions
DESCRIPTION
Students are introduced to variables and basic expressions.TRANSCRIPT
![Page 1: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/1.jpg)
1) variables2) algebraic expression3) factors4) product
Variables and Expressions Variables and Expressions
Write mathematical expressions for verbal expressions. Write verbal expressions for mathematical expressions.
5) power6) base7) exponent8) evaluate
![Page 2: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/2.jpg)
What algebraic expression can be used to find the perimeter of the triangle below?
a b
c
Variables and Expressions Variables and Expressions
![Page 3: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/3.jpg)
What algebraic expression can be used to find the perimeter of the triangle below?
a b
c
Perimeter = a + b + c
Variables and Expressions Variables and Expressions
![Page 4: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/4.jpg)
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 Variables and Expressions
![Page 5: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/5.jpg)
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 Variables and Expressions
![Page 6: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/6.jpg)
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 Variables and Expressions
![Page 7: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/7.jpg)
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 Variables and Expressions
![Page 8: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/8.jpg)
An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations.
Variables and Expressions Variables and Expressions
![Page 9: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/9.jpg)
An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations.
Examples:
x5
Variables and Expressions Variables and Expressions
![Page 10: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/10.jpg)
An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations.
Examples:
x5 73 x
Variables and Expressions Variables and Expressions
![Page 11: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/11.jpg)
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 Variables and Expressions
![Page 12: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/12.jpg)
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 Variables and Expressions
![Page 13: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/13.jpg)
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 Variables and Expressions
![Page 14: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/14.jpg)
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 Variables and Expressions
![Page 15: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/15.jpg)
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 Variables and Expressions
![Page 16: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/16.jpg)
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 Variables and Expressions
![Page 17: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/17.jpg)
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 Variables and Expressions
![Page 18: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/18.jpg)
It is often necessary to translate verbal expressions into algebraic expressions.
Variables and Expressions Variables and Expressions
![Page 19: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/19.jpg)
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than
Variables and Expressions Variables and Expressions
![Page 20: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/20.jpg)
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than addition
Variables and Expressions Variables and Expressions
![Page 21: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/21.jpg)
It is often necessary to translate verbal expressions into algebraic expressions.
English word(s) Math Translation
more than
less than
addition
Variables and Expressions Variables and Expressions
![Page 22: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/22.jpg)
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 Variables and Expressions
![Page 23: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/23.jpg)
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 Variables and Expressions
![Page 24: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/24.jpg)
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 Variables and Expressions
![Page 25: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/25.jpg)
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 Variables and Expressions
![Page 26: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/26.jpg)
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 Variables and Expressions
![Page 27: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/27.jpg)
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 Variables and Expressions
![Page 28: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/28.jpg)
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 Variables and Expressions
![Page 29: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/29.jpg)
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 Variables and Expressions
![Page 30: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/30.jpg)
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 Variables and Expressions
![Page 31: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/31.jpg)
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 Variables and Expressions
![Page 32: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/32.jpg)
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 Variables and Expressions
![Page 33: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/33.jpg)
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 Variables and Expressions
![Page 34: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/34.jpg)
An expression like xn is called a ______, and is read, “x to the nth power.”
Variables and Expressions Variables and Expressions
![Page 35: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/35.jpg)
An expression like xn is called a ______,power and is read, “x to the nth power.”
Variables and Expressions Variables and Expressions
![Page 36: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/36.jpg)
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 Variables and Expressions
![Page 37: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/37.jpg)
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 Variables and Expressions
![Page 38: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/38.jpg)
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 Variables and Expressions
![Page 39: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/39.jpg)
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 Variables and Expressions
![Page 40: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/40.jpg)
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 Variables and Expressions
![Page 41: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/41.jpg)
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 Variables and Expressions
![Page 42: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/42.jpg)
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 Variables and Expressions
![Page 43: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/43.jpg)
Symbols Words Meaning
41
42
43
44
3b5
xn
Variables and Expressions Variables and Expressions
![Page 44: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/44.jpg)
Symbols Words Meaning
41
42
43
44
3b5
xn
4 to the first power 4
Variables and Expressions Variables and Expressions
![Page 45: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/45.jpg)
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 Variables and Expressions
![Page 46: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/46.jpg)
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 Variables and Expressions
![Page 47: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/47.jpg)
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 Variables and Expressions
![Page 48: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/48.jpg)
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 Variables and Expressions
![Page 49: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/49.jpg)
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 Variables and Expressions
![Page 50: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/50.jpg)
To evaluate an expression means to ____________.
Variables and Expressions Variables and Expressions
![Page 51: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/51.jpg)
To evaluate an expression means to ____________.find its value
Variables and Expressions Variables and Expressions
![Page 52: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/52.jpg)
To evaluate an expression means to ____________.find its value
Evaluate each expression:
24 = 2222
= 16
53 = 555
= 125
Variables and Expressions Variables and Expressions
![Page 53: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/53.jpg)
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 Variables and Expressions
![Page 54: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/54.jpg)
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 Variables and Expressions
![Page 55: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/55.jpg)
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 Variables and Expressions
![Page 56: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/56.jpg)
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 Variables and Expressions
![Page 57: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/57.jpg)
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 Variables and Expressions
![Page 58: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/58.jpg)
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 Variables and Expressions
![Page 59: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/59.jpg)
Find the perimeter of the triangle.The dimensions are in feet.
a b
c
= 8
= 17
= 15
Variables and Expressions Variables and Expressions
![Page 60: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/60.jpg)
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 Variables and Expressions
![Page 61: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/61.jpg)
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 Variables and Expressions
![Page 62: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/62.jpg)
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 Variables and Expressions
![Page 63: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/63.jpg)
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 Variables and Expressions
![Page 64: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/64.jpg)
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 Variables and Expressions
![Page 65: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/65.jpg)
Evaluate the expression for the given values of the variables.
c3 + d when c = 4 and d = 16
Variables and Expressions Variables and Expressions
![Page 66: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/66.jpg)
Evaluate the expression for the given values of the variables.
c3 + d when c = 4 and d = 16
16444 1643
Variables and Expressions Variables and Expressions
![Page 67: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/67.jpg)
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 Variables and Expressions
![Page 68: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/68.jpg)
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 Variables and Expressions
![Page 69: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/69.jpg)
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 Variables and Expressions
![Page 70: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/70.jpg)
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 Variables and Expressions
![Page 71: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/71.jpg)
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 Variables and Expressions
![Page 72: Variables & Expressions](https://reader033.vdocuments.us/reader033/viewer/2022051210/54cd05214a7959f64d8b456d/html5/thumbnails/72.jpg)