Download SUMMER SKILL BUILDERS s. (a` 5)

'
Class:
Name:
Date:
to
complete
each
problem
work
necessary
must
AII
be shown. All work must be done on graph paper and in
pencil only. No more than two columns of work per page. You may write on both sidesof paper.
All answersmust be placed in an answer column on the right hand side of the paper. Skill builders are due the
first day of orientation. Pace your self and enjoy your summer.
ID: A
SUMMER SKILL BUILDERS
Find the value of each expression.
1 . 4 1 2 ( 6 . 4)*8 .6 1
2 . l 0 ( 1 7- 4 )- 3 (8+ 4 )
3 . 6 L s + ( 1 4-8 )*3 1
4 . 1 6 - 4 + 1 8 +2
Simplify each expression.
s. ( a ' 5 )'a
6. ( 8+v) +2
7. ( x+ 5) +8
Factor completely.(hint:
take out the GCF)
8. 6x- 1 2
9. I6n +2 4
1 0 . 11 a - 1 2 1
1 1 . 6 x+9 y
Find the sum or difference.Write the answerin simplestform.
)
12. 7-4: \
ri
f f
I
-5* I'214
12
t)
f
^1
/-
+
oo
)4
th
-
-J--
9'9
.1
\-
J
Name:
ID: A
tt.
6- n
18 .
n*4
13
19. '5
"1
'3
^10
20.
51
82
21.
17 13
3 0 *3 0
1a
ql -r!
22. "4
-5
Write the reciprocal of the number.
"7
24.
a
J
5
Solve the equation. Check your solution.
26. 1 i=1 0
o"
2 7 . 1 i=4
)"
28. o.12
8 =1 3
29. -29 = 14
Completethe statement.
3 0. 1.5km : a1
Jl.
20 ft=
mm
vd
Name:
ID: A
32. 5.25g: _
mg
3 3 . l 0cm = _
m
3 4. 1 2 0 kL =_
L
Find the quotient.Write the answerin simplestform.
43
r) '
..
5=Z
3
I
'+
-L
ro. ; + ;
?7
)1
1=.1:
1\
I
3 8. 5 +=
o
?q
1A
? i.-:
"8
'5
Solveeachequationmentally.
4 0. w - 6:
ll
4 1.66 =8 9 - u
42. -24:+
5
43.x+Q=-12
44' Mayais buyingfabricto makea quilt.Shebuysswatches
d
]vurd,f ,uro,Ivura,
ftruro,f
5
of different fabrics. order the lengthsof the swatchesfrom
vard'
-:
smallestto largest.
lo-
Find the product. Write the answer in simplest form.
4\
Z L"'-1' t02
"9
4 6 . 8^"i3
T
vurd,ana
Name:
ID: A
3l
4 7. 2; . m
1)
48. 1ix 21
^/
49. i0 x 17
)7
s0.5. 8
) r. r- 6, " t
\,)
-
I
13
Y -
8' 4
Find the sum or difference.
53. 15ft6:r:r.
- 12ft8in.
54. 3 lb - l l oz
Evaluatethe expressionfor the givenvalue of the variable.
55.
)c
f
w he ns=14
56. 5(k + 4) whenft : 3
Write each fraction in simplest form. If the fraction is already in simplest form, write simpliJied.
aa
'!/
121
Solve each equation.
s8.44 -e=zo
59. --6k- 15: -57
Add or subtract like terms of the expression.
60 . 3r +2 r - 1
'
Name:
ID: A
61 . I0- sf+ 8f-2
62 . 2y- 7 +y
Find the GCF of eachsetof numbersor monomials.
63. 18d, 42a3
6 4 . 24 b 2 ,30b3
Write the verbal sentenceas an equation.Then solvethe equation.
65. 4 timesa numberplus9 timesa numberis 39.
66. Twice a numberincreasedby 7 is 15.
67. A numberdecreased
by four is -12.
68. Thesumof 3 anda numberis I 1.
Match the given expressionwith the expressionthat hasthe samevalue.
69. 6. 8+l- 52
a.
( 3 ' 2) ' 4
b.
10 0 -:1 9
3'
c.
(s - 1 )+ (1 0 -3 )
b
10 0 --1 9
3'
c.
(s -1 )+ (1 0 -3 )
7 0 .7+( 3 .4+6)2
a.
( 3.2).4
Order the numbersfrom leastto greatest.
7 1]., +. t t+
s , ,#
t?
7 2 . 4 ;,0 ,-2 , 1.5,-31
5l
7 3 . 1 . 9 , - i , - 2 ,2 ;,0 .5
.94220
7 4.4,
34, t 0 ,
?
Name:
ID: A
use a factor tree to write the prime factorizationof the number.
75 .80
76. 48
Evaluatethe expressionwhen x= Z and y = 3.
77 . 16 - 6 +n+
8
78 . ( - u' to ; + (5 ."r)
7 9 . y'* x'
80' A family built a pool in their backyard.Theyareplacingsteppingstonesaroundtheperimeter
of thepool.
Eachstoneis two feet long' How manystonesareneededto surroundthe pool areathatis12feet
longandg
feetwide?
Simplify the expression.
81. 7x+8 - x -7
Simplify eachexpression.
82. 7(r + 3) + 8r
83 . 2 h + g+ 4h
84. 5x- 9 + 6x+ 1
Factor eachexpression.
85. x2+ 3x
Expresseachdecimalor fraction as a percent.
I
86. Express2l; % asa fractionin simplestform.
-+
Find the greatestcommonfactor and leastcommonmultiple of the numbersusingprime factorization.
8 7 . 36 ,40
8 8. 64 .90
I
'
l.[ame:
ID: A
Evaluateeachexpression
if a = 1, b= 3, and c = g.
89. 2(3a+ c)a
90 . 4 d +3 t
Find the perimeter and the area of the rectangle
or squarewith the givendimensions.
91. s: ll centimeters
92. ( = l3yards; w =gyards
Describethe pattern. Then write the next
three numbers.
93. 3 ,6,12 ,24,...
9 4 . 5 ,12 ,79 ,26,...
write two fractions that are equivalentto the
given
ss
96.
fraction.
40
t20
?.{
,
Use mental math to solve the equation.
a4
gj
v-r-7
"
- ' ' 1 0 - ' 1- "0,
'
?{
9 8. g =r - "
99' Kylie wantsto makesomechili. Therecipe
callsfor z]
choppedtomatoes.
she hasI j cupsor
"uprof
choppedtomatoes.How muchmoredoesKylie
need?
100. Evaluate
theexpression
whenm: 6 andv = 4.
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lm '-8 )- u