- SAVINGS ACCOUNTS A student inherited $5,000
and deposits dollars in American Savings. Write an
expression that represents the amount of money left
to deposit in a City Mutual account.
- a. MIXING SOLUTIONS Solution 1 is poured into
solution 2. Write an expression that represents the
number of ounces in the mixture.
b. SNACKS Cashews
were mixed with
pounds of peanuts to
make 100 pounds of a
mixture. Write an
expression that
represents the number
of pounds of cashews
that were used.
12. BUILDING MATERIALS
a. Let the length of the beam shown below (in
feet). Write an expression that represents the
length of the pipe.
b. Let the length of the pipe (in feet). Write
an expression that represents the length of the
beam.
15 ft
p
b
PEANUTS
CASHEWS
100 pounds
p pounds? pounds
MIX
p
Solution 1
20 ounces
Solution 2
x ounces
American Savings
$x
City Mutual
$?
$5,000
x
Complete each solution. Evaluate each expression for ,
,and.
13.
14.
Write each expression without using a multiplication symbol or
parentheses.
- 4 x 16. Prt
- 2(w) 18. (x)(y)
Use the following variables to write each property of addition
and multiplication.See Objective 1.
- a. Write the commutative property of addition using
the variables xand y.
b. Write the associative property of addition using
the variables r, s,and t.
- a. Write the commutative property of multiplication
using the variables mand n.
b. Write the associative property of multiplication
using the variables x, y,and z.
- Write the multiplication property of zero using the
variable s.
- Write the multiplication property of 1 using the
variable b.
Answer the following questions about terms and coefficients.
See Example 1.
- Consider the expression.
a. How many terms does the expression have?
b. What is the coefficient of each term?
- Consider the expression 4a^2 6 a 1.
a. How many terms does the expression have?
b. What is the coefficient of each term?
- Complete the following table.
3 x^3 11 x^2 x 9
GUIDED PRACTICE
24
x 6 y( )6( )
20
25
9(5)
9 aa^2 9( )(5)^2
x 2 y 4
a 5
NOTATION
8.1 The Language of Algebra 645
Term
Coefficient
6 m 75 t w 21 bh x 5 t
