Day 1 Simple Verbal Expressions to Algebraic … 1 Write Simple Algebraic Expressions of Sums Write...
Transcript of Day 1 Simple Verbal Expressions to Algebraic … 1 Write Simple Algebraic Expressions of Sums Write...
Simple Verbal Expressions to Algebraic Expressions Date: ___________________________ SOL 7.23 The student will write verbal expressions/sentences as algebraic expressions/equations.
Build Your Vocabulary In the __________________ expression, lw, the letters l and w are called
_____________________.
In Algebra, variables are symbols used to represent unspecified _______________ or
________________. Any _____________ can be used as a variable. The letters l and w are
used above because they are the first letters of the words _______________ and
___________.
In the expression lw, l and w are called ________________, and the result is called the
__________________.
An expression like _______ is called a power and is read ________________ power. In the
expression nx , x is the __________ and the n is the __________________. The exponent
indicates the number of times the ____________ is used as a _________________.
Symbols Words Meaning
13 3 to the first power 3
23
3 to the ____________ power or 3 ____________ 3 • 3
33
3 to the ____________ power or 3 ____________ 3 • 3 • 3
43 3 to the ____________ power 3 • 3 • 3 • 3
52x 2 times x to the __________ power
___ • ___ • ___ • ___ • ___ • ___
Example 1 Write Simple Algebraic Expressions of Sums
Write a verbal expression for each algebraic expression.
a. a number n more than four four more than a number n
______________________ ______________________
b. a number p added to eleven eleven added to a number p
______________________ ______________________
c. a number x increased by eight eight increased by a number x
______________________ ______________________
d. a number m plus seven seven plus a number m
______________________ ______________________
e. the sum of a number c and nine the sum of nine and a number c
______________________ ______________________
Example 2 Write Simple Algebraic Expressions of Differences
Write an algebraic expression for each verbal expression.
a. a number y less than seven seven less than a number y
______________________ ______________________
b. one subtracted from a number w a number w subtracted from one
______________________ ______________________
c. a number h decreased by three three decreased by a number h
______________________ ______________________
d. a number p minus four four minus a number p
______________________ ______________________
e. five less a number k a number k less five
______________________ ______________________
d. the difference of a number x and six the difference of six and number x
______________________ ______________________
Example 3 Write Algebraic Expressions of Products
Write an algebraic expression for each verbal expression.
a. two times a number x __________________
b. twice a number c __________________
c. the product of two and a number p __________________
d. two multiplied by a number h __________________
Example 4 Write Algebraic Expressions of Quotients
a. a number m divided by eight eight divided by a number m
______________________ ______________________
b. the quotient of a number r and eight the quotient of eight and a number r
______________________ ______________________
Example 5 Write Algebraic Expressions with Powers
Write each expression algebraically.
a. a number a squared __________________
the square of a number a __________________
a number a to the second power __________________
b. a number w cubed __________________
the cube of a number w __________________
a number w to the third power __________________
c. a number x to the fourth power __________________
Example 5 Write Algebraic Expressions Using All Operations
Translate each phrase into an algebraic expression. Define the variable first!
a. twice a number Mark’s salary plus a $200 bonus
Let ____ be Mark’s salary ___________________
b. three more than the number of people squared
Let ____ be the number of people ___________________
c. six feet shorter than three times the mountain’s height
Let ____ be the height of the mountain ___________________
d. two seconds faster than four times Sarah’s time
Let ____ be Sarah’s time ___________________
e. five times a number less four
Let ____ be a number ___________________
f. seven less than a number times eight
Let ____ be a number ___________________
g. nine more than a number divided by six
Let ____ be a number ___________________
h. the quotient of eight and twice a number
Let ____ be a number ___________________
i. six times a number minus eleven
Let ____ be a number ___________________
j. the product of eight hundred and the cube of a number
Let ____ be a number ___________________
k. half the distance to school
Let ____ be the distance to school ___________________
l. eleven more than the product of seven and a number
Let ____ be a number ___________________
m. thirteen less the quotient of a number and twenty
Let ____ be a number ___________________
n. one-third a number added to one-fifth
Let ____ be a number ___________________
o. a number added to fifteen
Let ____ be a number ___________________
p. one added to a twice a number
Let ____ be a number ___________________
q. the square of a number less one
Let ____ be a number ___________________
r. twice the cube of a number increased by four
Let ____ be a number ___________________
s. the sum of seven times a number and five
Let ____ be a number ___________________
t. the difference of two and a number cubed
Let ____ be a number ___________________
Assignment Look at the phrases from Example 5, write your own phrases and translate them into algebraic expressions on separate sheet(s) of paper. There are 20 phrases.