7th-8th Grade Algebra 1A Packet

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A] A"rne"
ln
BeanE uation Bust#l Sr'mrner
€aoket,
Show your work.
5a + 7 =-23
.gO*8+2x
x +'38 =.86.- 3x
;.i':J --; i;i :::l?'x
!-L --- L.^.
....
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!i
B. 5n=2n+6
Y=24-3y
c. -o4 =7
4n+5=6n+7
2(x-
D. 3p-8=13-4p
B(5-n)=2n
5(2+n)=3n+18
2(x-
I +5=6
2
E.
4u
- 8 = -5(1 - u)
A.
B.
C.
D,
E.
'6;
6) = 3x
12
2; 6;'5
'21; '1;'12
3; 4;4
'3;'12; 2
6) = 3x
.;
Solve each equa
8a= 2a+30
B. 3*=u- 3*
C. 5p-9=2p+12
D.
E.
7(10
-
m) = 3m
-7a = -12a + 65
51=9-3x
39c= 33c-78
89 + x=2-2x
4(y-O)=7y
2
/=X
;XJ
3(30 + s) = 4(s + 19)
4-(x+2)=6x+10
A.
B.
C.
D.
E.
5; 8
6; 14; '13
7;'29;'8
7;'21; 14
13; -1;
10
|+5=x
\
Name
,Infinite Algebra I
One-Step Inequalities
Period
Date
Solve each inequality and graph its solution.
l)
-12>
-12
x-7
2)
4
-6
-8
-t0
-l+r)4
-2-t
-2
0 I 2 3 4 5 6 7
8
Qenin&r
3)
n-6<-14
-6
-8
-10
4)
4
b-7 <-r2
0 I Z
-7-6-54-3-Z-t
-2
3
"
Y';,Iii.a!Y/
dl- al
s|dd
ineqwl,4 bY,a
ne1hti ue nunfu
V,lu fnuJf reuerie
0 I 2 3 4
-s-4-3-2-l
5
7) 3+v<-9
-14
-10
-8
-20
-18
-16
-14
-12
-6
6 7 8 9 t0 lt t2 13 14 15 16
-6
9) -3x>3
-5-4-3-2-1
-22
8) 8>n
-12
'rh" ,hefrr,"/'fu
6) 15+x<0
5) a-17>-16
tr
to
xs
!/k
!z\
G..
iq
? €?
n
0 I 2 3 4
5
c.l
\
,/\ \l
6x
\l \l
GG
Fo
kt
iy
\l \
=>
t-
12) -9x>-90
k
1l),4-<-4
-22
'
l0)'3->3
3 4 5 6 7 8 9 l0 ll 12 l3
-24
5ymbot
345678910It1213
-?:0 -18
-16
-14
t\
\41
Xq
66
s .o
G?
fleuirtu. Shoto any
G
nec€ss
Dion owns a delivery seryice. He charges his customers $15.00
for each delivery. His expenses include $ZOOO for the motorcycle
he drives and $0.42 for gasoline per trip. Which equation could
Dion use to calculate his profit p far d deliveries? (Lesson 1-7)
F p:L5-0.42d
H p=L4.58d -7000
J
G p=7000+L\d
@
HL50m*21 JL50+2Lm
@@@o
2-4)
b @@@o
A5m*t:4
aut
B Em*t:r
c 5(m*t):4rD m*t:s@i{$@@@@
Solve 8(r - 5) = LZ(4x - L) + L2. (Lessqn 2-4)
O
F-#
3.-$c
see
r:qf
G150*3m
Translate the sentence into an equation. (Lesson 2-1)
Fiue times the sum of m and, t is as much as four times r.
{^
\*/
\r)
C
p=0.42d+7ooo
Jim's new car has 150 miles on the odometer. He takes a trip and
drives an average of rz miles each day for three weeks. Which
expression represents the mileage on Jim's car after his trip? (Lesson
F1502+3
\b
Or,J Hork.
\,2)
eQa
w
\bO
eso &
It
flx)
A11
If,-z
G-+
- 'l -
2x,
f:rnd
f(g),+ 6.
-
3y = 6.
lyj,o
@@
C L4
G
D -11
(Lesson 3_1)
(Lessons-.t)
,@@@
@
{a
\;'
)
\J
>(
Determine. the slope of the line passing through (1, 4)
md (3,
(Lesson s-s)
-1).
Find the discounted price.
@
o
Simplify Sm + gp + Bm+ p.
clock $fS.OO
discount: LSVo (Lesson
G r* y:4
2-7)
(9
Gesson i-s)
Determine which equation is a linear
equation.
F x2*y=4
o
fiesson 1-7)
B7
Find the *-intercept of the graph of 4x E y.
= +
Graph,Zx
,rt'\
J -L
H *y=4
(Lesson
3-l)
J **t-a
0 r@@o
PERIOD
DATE
Chapter 4 Quaz I
(Lessons 4-1 and 4-2) ShOr,: Any
nfcessctS
SCORE
LrCf L,
For Questions 1 and 2, write an equation in slope-intercept
form for each situation.
hl
Co
.J
I
1. slope:
-.=.
_t
ts
2. line passing through (9, 2) and
1o
I
3. Graph 4s
\ ffi
rA
I
ll
ll
.C
._e
2.
o
.].
* 3Y: lN.
+
5. MULTIPLE CHOICE The table of ordered pairs
shows the coordinates of the tivo points on
the graph of a function. Which equation
describes the function?
C Y--f;x+7
A 3'--2x*L
I
=-l=
I
li
t\
.:D
'1
B j,- rx-
@
D
y=-f,x-t
o
+
.<
-l*t
Chapter 4 Qulz 2
=
(Lessons 4-3 and 4-4)
o
;
d
E
o
rl
o
c
o
e
on'
t
.x
- fro
=
oo
A
o
o
o
gc
@
<,
t\
f\
--:,
I
f".
+
x
I
o
-@ + 2) bslope-intercept for.m'
6.
4.
5. MULTIPLE CHOICE Line DE contains the points D(-L, -4) and
E(3, 3). Line I'G contains the point F(-3, 3).IMhich set of
coordinates for point G makes the h,Iio lines perpendicular?
Eo
o
-I-
4. Write an equation in slope-intercept form for the line
that passes through (5, 3) and is parailel to:u * 3y =
@
rL
-
3. Write an equation in point-slope form for a horizontal
line that passes through (-4, -L).
r
6
=
b.
SCORE
Write an equation in point-slope form ior a line that
passes through (3, 6) with a slope of -+.
2,Write y
rE,
(d
o
I
1.
oo
tr
.))
'
gli
c
d
a
E
o
i
4.
DATE
s
*t
{lq
\lx
4. Write a linear equation in slope-intercept form to model a
tree 4 feet tall that grows 3 inches per year.
-.r
q)
3'
e
lDl=
s
il
lo
.)ot
x
(-2,
\]
e
rl
1.
f,,rintercept: -5
li
r
t
>- 5) -))
A (L,7)
B (1, l-0)
c
(L,4)
D
(4,
b.
-1)
1l
Q ro0
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chapter 4
51
Glencoe Algebra
1
write
the
in
retterfor the correct answer
For Quesrions 1-5, find rhe esuation
describes each line.
1. a line with slope
A y=-2,
andy-intercept
-2
4
':
C 1'-',-Zr1a D Y:2x-4
B )'-'4x-2
2. alinethroush Q,4) with
sioPe 0
r=2
F ),..=2
G
3. a line tlirough
@,2) withsloPe
A),--*.
Sha"l ' Cr\Y
:" urjj|ry,ry '
in srope-inrercept;;;;"""
the btank ai the.right of each question'
f
Br'=|*--a
L.
H 1'- 4
J x=4
2"-'-
C!=27-fi
\t=!*
'3''"".'
(2,3) ?
o ;
";;:?;;?' \)G1,--2.**
r)'--?"-+
H.1':*.-i
4. a iinethrougii (-1 ,
and
5. the iine'graPherl at the
right
4'
I I I l)/t
t,,! Ir
'r[4
),-*.**
D i,- *.*t
C
o.
6.IfSdelisa:rdwichescost$2g'75,howmuchu'illSsandwichescost?
F $37.75
7. S,lrat is the staadard form of
ca
o
A 2x*Y=L4
y
-
B
= 2(x + 3)?
6.
$0'16
D y - 2x:1!
C 2x-!=-L4
B )'-2x+1"4
8. Id'lrich is the graPh of 3x
J
rr $47'60
G $2s.'.15
7.
- 4Y = 6?
G
t.^bcO
@e@
Og
c@
Lcr
@@
8.
g. \^ririch is the point-slope form of an ebuation
(0,
with sloPe.Z?
-5)
A
10,
2x,-5
y = 2x-.6
C
B l'+ 5=2x
\4&at is the slope-intercept form of3'
F
11.
J,=
G
*
6
for tJre iiae that passes througb
D
),-5=t-Z
= 2(x'+
Y=2(x*5)
J 2,x-!:6
oe
L2.
11'
Find the slope-intercept form of an equation for the iine that passes
through (-L,.2) a-nd is pardllel to j, - 2x - B.
F J,:2F!4
L3.
10.
Stren are two lines Parallel?
A vghen ihe slopes are oPPosite
B when the sloPes a:'e equal
C q'hen the sloPes are Positive
D v'hen the product of ih" slopes is -L
<-) .l-.
9'
2)?
fl Y=%r*6
j,=2x*2
G j,=0.5r*4
H li:%+?
.Jy=-0.5x-4
Find the'slope-intercept form of an equation of the line perpendicular to "
tlre graph of x -'33,: 5 and passing through (0, 6).
.A ),_*"_,
B ),:-3;r*6
C
_
y:lx.+Z
D
J'=3r-6
L2.
_
'
13.
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