Transcript Translating Word Phrases into Algebraic Expressions

Translating Word Phrases into
Algebraic Expressions or Equations
Chapter 1
Some words that have mathematical
meaning are:
• Addition:
Sum
Increased
“More than”
Plus
Add
• Subtraction:
Difference
Decreased
“Less than”
Minus
Subtract
Some words that have mathematical
meaning are:
• Multiplication:
Product
Times
Multiply
“Twice” means to
multiply by two
• Division:
Quotient
Divide
Some words that have mathematical
meaning are:
• Equal to:
Is
Equals
• Grouping:
The quantity of
The result of
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five
2
5
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five
2
5
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five
2
multiply
5
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five
2
multiply
x
5
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five
2
multiply
x
5
5x
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five
2
multiply
x
5
The word “than” tells us to switch the order around.
The 2 is subtracted from the 5x.
5x
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five
2
multiply
x
5
5x  2
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 2:
Six more than the quotient of twice a number and seven
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 2:
Six more than the quotient of twice a number and seven
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 2:
Six more than the quotient of twice a number and seven
6
2x
7
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 2:
Six more than the quotient of twice a number and seven
6
+
2x
7
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 2:
Six more than the quotient of twice a number and seven
6
+
divide
2x
7
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 2:
Six more than the quotient of twice a number and seven
6
+
divide
2x
7
2x
7
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 2:
Six more than the quotient of twice a number and seven
6
+
divide
The word “than” tells us to switch the order around.
The 6 is added to the 2 x
7
2x
7
2x
7
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 2:
Six more than the quotient of twice a number and seven
6
+
divide
2x
6
7
2x
7
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
3
4
9
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
3
multiply
4
9
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
3
multiply
x
4
9
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
3
multiply
3x
x
4
9
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
-
3
multiply
3x
x
4
9
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
-
3
multiply
x
3x  4
4
9
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
-
3
multiply
x
3x  4
4 = 9
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
-
3
multiply
x
3x  4  9
4 = 9
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
2
3
7
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
2
multiply
3
7
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
2
multiply
x
3
7
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
2
multiply
group
x
3
7
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
2
multiply
group
x
( x  3)
3
7
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
2
multiply
group
x
2( x  3)
3
7
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
2
multiply
group
x
2( x  3)  7
3
7
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 5:
The quotient of a number and two increased by three
(Don’t click to the next slide until you have done this on your own!)
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 5:
The quotient of a number and two increased by three
divide
x
2
+
3
x
3
2
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 6:
The difference of a number times five and two is nine
(Don’t click to the next slide until you have done this on your own!)
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
• Example 6:
The difference of a number times five and two is nine
x
multiply 5
2
9
5x  2  9
When translating a word phrase into
an algebraic expression or equation, it
is easier to break it into smaller parts.
Good Luck!