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*"*. [?,
c,r..
Date
Practice
1-4
Form K
Solving Equations
Solve each equation.
1.5x+
4:2x+
2.10w*3:8w+5
l0
To start, subtract 2-r from each
side.
To start" subtract 8w from each side.
X=a
w__u1
4.s+2-3s-16:0
- 3):2d
3. 4(d
St-r
d=L
Solve each equation. Check your answer.
5.9(z-3)=122
5=6y+11
6.7v
Z=-'l
!=L
7.5w'j-8-12w:16-l'w
lal=
8.3(x
t
l):2(x + I l)
t1
X=
Write an equation to solve each problem.
9. Lisa and Beth have babysittingjobs. Lisa eams $30 per week and Beth earns
$25 per week. How many weeks will it take for them to earn a total of $275?
To start, record what you
know.
Lisa eams $30 per week.
,
Describe what you need to
E{
us',
{r.k
\\
Beth eams $25 per week.
Total eamed: $275
an equation to find the number of
weeks it takes to earn $275 together
find.
5
Wee&-s
10. The angles of atriangle are in the ratio2 12:16. The sum of all the angles in a
triangle must equal 180 degrees. What is the degree measure of each angle of the
triangle? Let x the common factor.
:
Tal
o-n6Us
a-w- lt'
{1. What two consecutive numbers have
t?Zo
t
a.,.d, q U"
a sum of 53?
T1'4- *wY'rIx"rS a,{L
?b a-nd e1
Determine whether the equation ts always, sometimes, or never true.
12.3(2x
- 4):
6(x
-
13. 4(x + 3)
2)
A\wt4-r
2(2x
+ l)
fl0\/e/r
Prentice Hall Foundations Algebra
Copyright
:
@
2.
Teaching Resources
by Pearson Education, lnc., or its afiiliates. All Rights Reserved.
35
Name
Class
PfaCtiCe
1-4
Date
(continued)
Form K
Solving Equations
Solve each formula for the indicated variable.
14.
I
A=-bh.forb
2,'
15.P:2w*2l,forw
eA
r
q1- ?-3t
D--- h
$.
,q =
!h(b, +
a
br) , rot h
S=2trrh+2nr2.forh
17.
h=%#.
v=ffi
Solve each equation
18. ry
fory.
$.1ty+2)=
- sy:1 l-
l_
Y=#
20.
m
U=
is-z
5=
L+3=n
21.
v-l :
--:-
3
e
z
L--T
* 1Y'-3)
Solve each equation.
22.(x-3\-2=6-2(x+1)
23.4(a+2)-2a--10+3(a-3)
X\3
A.2Qc +
A,=1
l)-c:-13
25.8u+2(u- 10):0
tt-- lo
C=-5
26. The first half of a play is 35 minutes longer than the second half of the play. If the
entire play is 155 minutes long how long is the first half of the play? Write an
equation to solve the problem.
n^r $r.*hc\4 at '[*e ?4 ts QSminuJes
a^d- t{'4.{ sa6nd" hnl(;
Prentice Hall Foundations Algebra
t
2.
lso
mi
Teaching
nu/,eJ
Resources
Copyright O by Pearson Educdion, lnc., or its affiliates. All Rights Reserved.
36
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r7
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7
7
7
.G
Ll
4 rD
o
t+. .S+J= ?s -
J.4.
=,=!{J
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t:
=12
-2e
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.Q
4
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_ i
ll{
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-.e
'1
:
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I
tn9='lOF
+t4
t{ a=* 5
u?
: jGf ll
Y-
q"
f, 9ft,1
w+8- l2
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--
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e bdQ*t-{-up-
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-
?he4.', 5(r)-* f=q(
5+g-t?
I
r)
=-.1
q:!5[r)
= lL-
15
{
.?,1.
=_-:-'-
-
:-t.---,La$:--&:-Jawn+Lx.r
^f
w<eks:
:=
---tL ltlf - a
tr"n x+I = \o-t^or,
r-r,ru*La"---*
ffit
ulx+e
Lr)
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illuru:-
11r-
9*rl"-+ ?-or,-l
b)
[at
t
(t",Ybn)
l q,
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tt-;* *1{n
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n't
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