\=P\
6-65.
Substitute the given solution into the corresponding equation to
check it. Then decide if the solution is correct or incorrect.
a.
5.r+ 8 =3x-2
[ -17 = -17 , solution is correct ]
b. 2(x+I)+6=2A-3x
I
6-66_
L6
7L
b.
x:
Solution:
4
8 , solution is incorrect I
Andy is 4 years older than Eduardo. If Andy is
to represent Eduardo's age. I x-4 1
x
years old, write an expression
!Dn,
In Eduardo's collection, the number of butterflies
is l2 more than twice the number of moths. If
there are x moths, write an expression to represent
the number of butterflies he has. [ 2x +12 ]
-2
Evaluate the expressions 3x
and 4x + 4 for the following values of -r. When you
have found the value for each expression,lvrite a statement using < , >,or = that
shows how the two values are related.
A. x:0
| -2<41
6=68.
Solution: x = -5
During this chapter, you will use your new solving skills to solve word problems.
Think about and use the strategies you already have to answer the questions below.
a.
6-67.
Pl"evietl
b. x=-6
c. .r= 5
[ -20=-20 ]
t L3<24
d.
|
v- -)
[ -8<-4
Victor wants to play "Cuess VIy Number." Use the clues belolv to figure out his
ruumber. Each par-t is a new game.
a.
"When )tctu clctuble nty nuntber and subtract 9,\ou get nty original number. Wltat
is
b.
trty
tttunber?" [91
"lVhen ),ou clctuble nty number and aclcl5,\,ou get
'l
t"6
Chapter 6: Solving Inequalities and Equations
I7. What is tn\t rtLtmber2"
657
6-69.
Find the perimeter and area of each triangle below.
a.
14.3 yds
i2 yds
I zl yds
rrrlc
l4
-'>
I P = 40.3 yds, A = 77 sq yds ]
6-7A.
25
ft
lP=60ft, A= 150sqftl
To solve the following problem, use the 5-D Process. Define
expression for each column of your table.
a variable and
write an
In the first three footbatl games of the seasoll, Carlos gained
three times as many yards as Alston. Travis gained ten yards
more than Carlos. Altogether, the three players gained a total
of 430 yards. How many yards did Carlos gain? [ If x
represents the number of yards gained by Alston, then
the equation is x * 3r * 3r + 1-0 = 430 ; 180 yards l
6-5tt
Core Connectiotts, Cctttrse
2