8th Grade Benchmark #1 Review
Name:_________________________________
Class:_______________ Date:______________
Estimate the value of the following irrational numbers, to the nearest tenth. Place on number line below.
1) Point A
Estimate:______
2) Point B
Estimate:______
3) Point C
Estimate:______
4) Point D
Estimate:______
5) Point E
Estimate:______
6) Point F
Estimate:______
Find the square root or cube root of the expressions below.
7)
8)
______
9)
______
10)
______
11)
______
12)
______
______
Solve.
13) x3 = 27
14) x3 = 343
15) x2 = 121
16) x2 = 81
x = ______
x = ______
x = ______
x = ______
17) If a cube has a volume of 125 m3, what is the length, width and height of the cube?
18) Jane is tiling her garage. She has 81 square feet of tile. What is the length and width of her garage?
Simplify the expressions below.
19)
______
20)
______
21)
22)
______
______
23)
______
24)
______
Convert to scientific notation.
Write in standard form.
25) 97 million
= _____________________
26) 3.4 x 107
= _____________________
27) 1,750,000,000 = _____________________
28) 6.3 x 10-5
= _____________________
29) 0.000000089 = _____________________
30) 7.4 x 109
= _____________________
Multiply each of the following (answer in scientific notation).
31) (9 x 103)(3 x 106) = _____________________
32) (7 x 10-5)(2 x 10-4) = _____________________
33) (2.5 x 107)(2 x 103) = _____________________
*Complete both sides*
Identify each graph as linear or nonlinear.
34) ____________
35) _____________
39) ____________
8th Grade Benchmark #1 Review
36) _____________
40) _____________
41) _____________
Name:_________________________________
Class:_______________ Date:______________
37) _____________
42) _____________
38) _____________
43) _____________
Identify each equation as linear or nonlinear.
44) y = x + 4 ____________
45) y = x2 ____________
46) 3x + 4y = 9 ____________
47) y = x2 + 2x + 3 ____________
48) y = x ____________
49) x4 - x = 0 ____________
Solve using distributive property and combining like terms.
50) 3x - 6(x + 1) = 0
51) 7(x - 4) = 35
52) 24 - 6x + 2x = 12
53) x + 3(x - 1) = 13
54) 3x - 7 = 2x + 4
55) 6x - 11 = 7 - 3x
*Complete both sides*
Name:
Date:
Class:
Benchmark
8thGrade
#1Review
--<stimate
thevalueofthefollowing
irrational
numbers,
to thenearest
tenth,Place
onnumber
linebelow.
rt, I
1)PointA..fiT
rstimate:
3 'I
4)Point
D- It Estimate:-
5,J
2)Point
B1ffF Estimate:
5)Point
E iTf
-=s *$ -s -? -tr -ffi *s € -x *r
(0, ?6)Point
F.,fftr Estimate:
'9
Esfimate:-3
a
Findthesquare
rootorcuberootoftneexpressions
below.
n 4t z r
t{
l, L/
Estimate:
3)Point
C$
rs-
s)vtFon e) .,1216 1at"lB
iD
l5
b
11)
.l z";
l-
12)U64
ziv'
4
Solve.
13)x3=27
14) x3= 343
15)* = 121
x= -3
x= 7
x=
l(
16)x2= 81
q
x=
47)lf a cubehasa volume
ofthecube?
widthandheight
of 125m3,whatisthelength,
5nt
18)Janeistilinghergarage.
feetoftile.Whatisthelengthandwidthof hergarage?
Shehas81square
q r+
Simplify
theexpresslons
below.
,1.i
1 9)"
+
,J
22\ ",}
21l'&
20)f"ry)'
j
I
xb
t 16
---u-
(Lk
_,5
231"t
24)i,-3
t1
'/'n+
2t)
v1
notation.
Gonvert
to scientific
Writein standard
form.
25) gTm i ll i o =
n ft, *1 x l D T
= l' -15 x I O {
27)1,75o,ooo.ggg
26)3.4x107 = 44, oa),
6' tl x
29 )o.o oooo oo89=
{0' ^ I
&)Cr
28)6,3x 10s
=
O ,( 3 (- : (> ( > L t3
30)7.4x 10e
=
'1) LICC:I AC2
/ oc>a
(answer
notation).
in scientific
eachofthefollowing
Multiply
x tog =
31)(9x 103X3
& .-l x lD
103)= b
x107)(2x
33)(2.5
tD
x 104)=
32)(7x 10{)(2
x lD ro
*Completeboth sides*
1, 4 x t O - R
Name:
Date:-
#1Review
8thGradeBenchmark
eachgraphaslinearor nonlinear.
ldentify
-: .. ,,i-. -1-r.;,
i !,i :
ri:
\1
\' l
v/
\1
r
""
'..I--:*tlt
34)\in€d.v-
t.
35)YlWll\Y\4A{
+ol\iruar
3e)nOnlirult:r
linear
37) nart
-.
+ty1l0]ltirreav' 44 I;YvLt
38) nayJiYrar-
q
l\necL(
aslinearornonlinear.
ldentify
eachequation
44)y=x+4ltnLtx-(
45)y=xz l\D{llinen-(
n\n l i n aaf
46 )3 x+ 4y=9
y =x2+ 2x*gq
47)
x lin Pttf
4 8 ) y=
49)t' -x = g t'iDtutI r Yuo,A-.f
\in4&/-
liketerms.
property
andcombining
Solveusingdistributive
50)3x- 6(x+ 11=6
f, .:-a
5 3 )x +3( x -1) =1 3
[': q
51)7(x- 4)=3s
52)24- 6x+ 2x=12
Y:t 1
x-"-3
5 4 ) 3 x- 7 - - 2 x+4
55) 6x-11--7 -3x
X": ll
*Completeboth sides*
x €r _ ,