1
6-134.
One way of thinking about solving equations is to work to get the variable terms on
one side of the equation and the constauts ou the other side. Consider tlie equation
7l=9x-37.
a.
As
a first step, you could subtract 7l from both sicles, or divide both sides by
9,
or add 37 to both sides of the equation. Does one of these steps get all of thl
variable terms on one side of the equation ancl the constants oir the other?
{o9, fr.dA^rn3 b1 +'s b"Yt 5 i{-e; r..,ol-\$ g"+
b. Solve 7l=9x-37 for.r. showyoursteps.
6-t35.
Foreach equation below,solvetor ,r. Sometimes the easieststrategy is to use mental
math.
a. *-3=* X'e o. L
'c. x+4.6:12.96
6-136.
*""s*roL's c*& Lo.^r{*i<iP<"4J'LL
X-- e,3to
b.
4x=6
X- A,, *"-
d.
-r-3
7-7
x--3
f
Due to differences in gravity, a 100-pound person on
Earth would weigh about 38 pounds on Mars attd
17 pouncls on the moon.
a.
What rvoulcl a 150-pouncl person on Earth weigh
on Mars? Explain your reasoning with lvords or a
. diagram.
fiar+4t
qe
6s
=
30 o,^ M '.1,4 m Mqrs
b.
What would a 50-poLrnd person on Earth r.veigh on the moon? Explain your
reasoning with lvords or a diagrarn.
rl
c.
Additional Challenge: lf
I
an astronaut on the moon weighed about 34 pounds,
what would that astronaut weigh on Mars? Show how you know.
i
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.
6-137
L
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Evaluate each expression.
o 'l
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Li
h.
o{
(), v.
o
i\
lL
u
tl
t
r
?
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t,
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b )
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rl
L
6-138.
,x
\
3 4t
\
)
t7
A
I
Rewrite eachfractiolt below as an equivalentfraction,as a decirnal,and as a percent.
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o
7.0l
,')
Y)
{
I
I t-r
"{( i
i
(/
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)
40',
;l
Lr
G
6-139.
1
v
t
l
U
It<
t1
This problem is a checkpoint for writing and evaluating algebraic expressions. It will
be referred to as Checkpoint 6.
Change each phmse into an algebraic expression.
a.
Sixmorethanx.
c.
Tlvice a numberx, increased by
l2x+3
e.
,
1
F
3.
U.
Fivelessthan-v. I
d.
The product of 5 and.y.
{;\
L( D
)-
r
]
x=5 or -y=8.
(
-l
L ))
y-5
[sy]
Evaluate each expression in pafts (a) through (d) using
I
i
lx+6I
t
I Ll
5
,{\ \
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{
)
i
i
't)
'l
t
{
t
r-
(
)
b
!r
)\
'r r\
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