unit 7, lesson 1: translating expressions standard: af 1.1 objective: translate verbal phrases
DESCRIPTION
Objective - To translate variable expressions. add plus sum increased by total more than added to subtract minus difference decreased by diminished by less than subtracted from less multiply times product …of... twice divide quotientTRANSCRIPT
Unit 7, Lesson 1: Translating Expressions
Standard: AF 1.1Objective: Translate verbal phrases
Vocabulary & Key Concepts Expression: numbers, variables, and operations.
Example: 3x – 6
Numerical Expression: numbers and operations only. Example: 4 + 7
Algebraic Expression: expression with variables. Example: x + 10
Term: numbers with variables separated by + or – signs. Example: 7x + 9y – 7
Objective - To translate variable expressions.
addplussum
increased bytotal
more than
added to
subtractminus
differencedecreased by
diminished by
less than
subtracted from
less
multiplytimes
product…of...twice 2
dividequotient
Backwards Words
Add 3 and 7 = 3 + 7
The sum of 3 and 7 = 3 + 7
3 increased by 7 = 3 + 7
The total of 3 and 7 = 3 + 7
3 more than 7 = 7 + 3
3 added to 7 = 7 + 3
Backwards Words
7 subtract 3 = 7 - 3
The difference of 7 and 3 = 7 - 3
7 decreased by 3 = 7 - 3
7 diminished by 3 = 7 - 3
7 less than 3 = 3 - 7
7 subtracted from 3 = 3 - 7
7 less 3 = 7 - 3
Translate the following phrases.1) Five plus x minus 3
2) Three times y less 4
3) Eight multiplied by y minus 7
4) The product of 10 and m decreased by 7
5) Four more than the quotient of x and 3
6) Six times m plus 8
5 + x - 3
8y - 7
10m - 7
6m + 8
3y 4
x 3 4 xor 43
Match each phrase with its variable expression.
1) Twice the sum of x and 3
2) Two less than the productof 3 and x
3) Three times the difference of x and 2
4) Twice a number x less 3
5) Two more than 3 times anumber x
a) 2x 3
b) 3 x 2
c) 3x 2
d) 2 x 3
e) 3x 2
a
b
e
c
d
Write a phrase that describes each variable expression below.
1)
2)
3)
4 x 5 2
7 2 x 3
m 9 4
Four times the sum of x and 5 minus 2
Seven minus twice the quotient of x and 3
The quotient of m and 9 minus 4
Define a variable to represent the unknown andwrite the phrase as a variable expression.1) 10 mph faster than the Honda
2) 7 inches shorter than Jill’s brother
3) 5 acres larger than twice the size of my lot
4) $7.50 times the number of people plus a$20 group registration
Let x = the speed of the Hondax + 10
Let b = the height of Jill’s brotherb - 7
Let k = the size of my lot2k + 5
Let y = the number of people$7.5y + $20
Problem Situation #1
A cab driver charges a surcharge of $4 plus$1.50 per mile. Write a variable expressionthat represents the total cost of the fare.
Let x = # of miles driven
4 + 1.5x
Problem Situation #2ATI Phone Services charges a monthly fee of$16 plus 18 cents a minute for local calls and40 cents a minute for long distance. Write a variable expression that describes the totalmonthly bill.
Let a = # of local minutes
16
Let b = # of long distance minutes
+ 0.18a + 0.40b
Review
1) What is the difference between a numerical expression and an algebraic expression?
2) What is a term?3) What is a word for add?4) What is a word for subtract?5) What is a word for multiply?6) What is a word for divide?