Page 109 - Algebra 1

Example
2
Translating Algebraic Expressions into Words
Use words to write each algebraic expression in two different ways.
a. m+7 SOLUTION
7 more than m; thesumof 7andm
c. 5·n SOLUTION
the product of 5 and n; 5 times n
e. 27-_1(18) 2
SOLUTION
the difference of 27 and one-half of 18; 27 minus 18 divided by 2
Application: Savings
b. y-9 SOLUTION
9 less than y;
the difference of y and 9
d. x÷3 SOLUTION
x divided by 3;
the quotient of x and 3
Caution
“Less than” phrases are written in the reverse order of the given form.
two less than x: x - 2
Math Reasoning
Generalize Using the operations multiplication and division, explain the relationship between
a number and its reciprocal.
Example
3
Jayne is saving money to buy a car. She has x dollars saved and is saving y dollars per week. Write an algebraic expression to represent the total amount of money she will have saved after 52 weeks.
SOLUTION
dollars saved dollars saved each week amount saved after 52 weeks
x y
Jayne will have x + 52y dollars saved after 52 weeks.
Write each phrase as an algebraic expression.
(Ex 1)
a. the product of x and 8
b. 18 minus y
c. 7 more than 5 times x
x + 52y
Lesson Practice
94 Saxon Algebra 1
d. Raquel is 2 years older than Monica, who is x years old. Write the expression that shows Raquel’s age.
Use words to write each algebraic expression in two different ways.
(Ex 2) _ e. 10
s
f. 5 - r
g. 3m + 7