Math 9: Mid-Term Review Assignment
Chapter 2
1. Place the following rational numbers in scending order
5 2
(5c..Lj
,—O.26,1.91
,
—
/
o.Z
/
-O.Z6)
i
5_
2. Place the following rational numbers in descending order
—2.3,2,—2 ,2.12,—2 ,2
-
._—
-
-Z
3. Place the following fractions at the appropriate place on the number
line
0.
a.
4
7
/
1
2
S
1
—
11
9 ‘2 ‘3 ‘6 ‘5 ‘7
o
ii
LL
0
0.25
7
I
I
0.5
0.75
4. Evaluate
a. (10—8) x (—4)± 2 x 4
b. (7+ (-4)) ÷ (-3)
=
z
c. (—6.9
d. —7.9
—
—
=
()
(2)
X
(-
—‘
0.6) x ((—5.6) ÷ (—1.4))
(—5
—
(4)
7.4 + (—7.9) x 1)
=
=
(7
-79
s)
- (— - 7,
(-
0
,
5. Add or Subtract the following Fractions
15
a. -+-=
48
2.
—
B
7
S
b. --+=15
3
l
0
d
19
5
20
6
5C
60
60
60
2
1
8
7
e. 2+3-=-3.-
1.
5 6 -2 4
=
l
-r
.IL
6
LI
2I
=
12.
3
il.
-
6. Multiply or Divide the following Fractions
a.
b.
68
5
4
2O
2..
S
96
5
1
Z6.
d. 3—--1—=—--—
—
7
2
7
2
2
3
—
—
7
3
SB
ILl
e. 4x8= -
—
‘‘
—
=
SZ
...—
al
a—
2_I
0
f’c
7. Evaluate
a.
i23
10
\
i2 _?c__)
5
2-
tO
251
-
ix(i!I _)
b. i÷!x(11_±)=
‘1
3
4
2
(‘Sb
Lj
e
Zct
I
———
2_t
—
-,
.
L-
—
L.
2..I
—
.
—
7
‘0—•
8. The waiters at a restaurant give 30% of their tips to the kitchen staff
at the end of each shift. If a waiter collects $42.50 in tips, how much
does he take home at the end of his shift?
(Ll2.. 5c’)(O.
3%)
2.. 75
5c-.75
1-k
h0r-e
4c*erc\
Z75
cf
il%.
75 *
34.
9. Brad took $150 with him to Disneyland on the Band Tour. He spends
of his money on his ticket to get into the park, then
of his remaining
money on gifts for his family. To the nearest dollar, how much money
does Brad have left at the end of the day?
(Oc)
—
=
iOO
6o
10.
Warren’s father mowed
of the lawn. Warren mowed
-
of the
lawn that was left by his father. Warren’s two younger brothers
finished mowing the rest of the lawn. What is the fraction of the entire
lawn that Warren mowed?
(2_)(
11.
-)
-
2
2.
-ç.
Lt
\Gr
A resort had 425 people booked for 1 weel4. During the week,
each person drank 2 cups of tea, 1.5 times that amount of juice, and
0.75 times that amount of milk per day. Tea costs $0.10 per cup, juice
costs $0.22 per cup, and milk costs $0.16 per cup. What was the total
cost of beverages for the week?
Z.
(2)C’.5
c-ir:3
=
S
Cc’S
jcc/
Cc
2 c,/p-
(?_)Cc.
(io )(L1L)
L96. 5
(qz5’)(o.2.2’)
q6.5
‘The. 4cc-\ cc*
4
1462. 5
7. rS27 a5o
b€jrc
(.)(o.i’)
12.
Hayden Drove the 5 17km from Coaldale to Edmonton in 6h.
Chris drove the same distance an average of 10km/h faster than
Hayden. How many minutes faster than Hayden was Chris?
-
_-
8l6r/k
(o.
O.6Zlh
Chapter 3
0
1. Complete the table below
Expression
Base
26
2.
Exponent
6
—4
(—
7
8
5
6
—
(_3)4
—
Repeated Multiplication
x
8x8x8xBx8x8x8
—6x66
Standard Form
oq6
Zoc7L52
—7776
3
2. Use exponent laws to simplify, write your answer in exponential form
and then evaluate if the exponent is 10 or less.
a.
26x23÷24=LS
b.
(45)2x43=
OLt
0
715
C.
x723 X718
79
722 x 717
-7
z
d.
($4)5 =
52.0
7
/4641045
e.
1.
\
4744
(95912)3
t2.’_7
_4’I
x
(9599)2
=
I
(qij
(cjt
0
g.
(545_7)_2
h.
(38
x
34)2
÷ (33 x
32)5
= ()Z
(35)5
-
2
(57)2
3
I.
5
=
5
53
5L.t
2
2
(51)S
(sit
l525
(75x72)3x(73x72)2=
(7)
(75)4
(7s)
770
71%
72O
71%
2
3237
3
s)
k.(35x
34)
=
D
I.
x7x3x5
m.
(
=
x5x4x9
87
3
3
DC%&
± x2)
=
(-;--
Dx)
(-x3
(x*)
DC3
II
C.’v
II
.-.
0
—
I
N
Lfl
L’J
+
C
x
Ui
(‘.3
L-’]
Co
I)
II
r
N
-
I
II
N
—I
+
(1
(I’
t-.
-
£
—
I
.—‘
£f)
II
%-,
3£
—
—
1’
cj
+
L”j
+
c-fl
CD
0
rJ
I
j
a’
(p
CjJ
t”j
uJ
_
p
II
r-
(‘3
x
Ui
(.3
—1
-ci
-ci
C,
a’
I)
t
4-
-
—
J
CtI
÷
-I-
—%
II
I.’)
Ui
+
Ui
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t’.j
—
,
a’
—
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—
II
x
‘1
Ui
+
Ui
Q)
0
CD
C
Q)
4. A population of twenty five bacteria doubles every hour. This growth
can be represented by the formula N
= 25(2)t,
where
N is the number
of bacteria, and t is the amount of time, in hours. How many bacteria
will there be after each number of hours?
a. 5
6oo
b. 8
6Loo
25C2)
c.
12
Z5(Z”
2
1Oeo
Chapter 5
1. In the chart below, identify the number of terms, the name
(monomial, binomial, trinomial, polynomial) and the degree of
polynomial.
Expression
5x2
—
3x
Number of
Terms
z
4x
‘
6x2 + 5x + 2
3x2y2—x2+4y2—5
Name
:2
-
Degree
2
(c)roi
2
2. Write a polynomial that satisfies each sentence
a. A
4th
0
degree trinomial with one variable and a constant
-7
3td
degree binomial with two variables and no constant
b.
A
c.
A 2 degree monomial
3. Write an expression to represent the following model.
I I
b)(’
-4-
4. Simplify. Show
0
iii•
5
expression.
R1t1H
y.
.
rim
‘LfJW.
+
0
5. Replace the question mark with an algebra tile model to make a true
statement.
1
?
6. Simplify by collecting like terms
a.
5y—8y2+6y—2y+5y2—3y+6y2
-
b.
a
3rn+4—2m+8m—5+7m2
=
5r +
c.
x2+8x—2+4x2—3x+8+5x2—2
d.
6n+5n2_3n2n+n3_4_7n2+ni
-
1
-
e. 3xy+ 7x2—5y2 + 2x— Sxy+y2 + 3x2y2
-
7. Add or Subtract the following Polynomials
a.
(5x+6)+(4x—3)
b.
(2x—4)—(x+2)
C.
(2x2—4x+7)+(—3x2+x+3)
d.
(8x2 + 9x + 8)— (5x2 + 2x + 4)
2_L.
—-
D
-
!XL
e.
a
47 4t_t
—5-’x--S
(—5x2+4x—3)—(—6x2+5x—1)
=
—
—
-6’D
—
2.
1. (3x2+5x—8)—(2x2+4x—S)
—3
4- L
g.
(9x2—7x+5)+(2x2+8x—3)
h.
(_4x2_2x+5)+(3x2+6x+1)_L416
0
i.
(5x—4)+(2x+7)+(—x+3)
j.
(—7x+4)+(5x—5)—(2x+9)+(7x+4)
k.
(4x2+5x—9)+(7x2+3x+S)—(—2x2+7—1O)
S.
_c\ *
4-
t
5
+
2?-
8. Calculate the perimeter of the triangle shown.
5x2—6x
4x2
+
4x
5x2—2x
5
-x
—
-
7]-•
.
i
—
_7 -io
9. Helen is fencing off two areas for her rabbits and her chickens. The
length ofpne.rea is 2 m more than double its width. The length of the
other area is 3 m less than its width.
a. If the width of both areas is the same, write an expression to
describe how much fencing she will require to fence both areas.
4L_
b. If the width of both areas is 6 m, how much fencing wFFF
need?
p
H€t
4
6o10.
L’
fercir.
Z
Sasha sells small, medium, and large area rugs at the market
and earns a commission on each sale. He earns x dollars for every
small rug that he sells. He earns $5 more for each medium rug he sells
than he earns for selling a small rug. For every large area rug sold, he
earns $2 more than twice what he earns for selling a small area rug.
c. Write an expression to describe the amount Sasha earns if he
sells 4 small rugs, 3 medium rugs, and 2 large rugs.
l(4
xA 5
2D-iZ
()
+
Cz-t s’)
iS
3- 2(l-’?-)
-
Lj,*i
U. If Sasha earns a $5 commission for selling a small rug, how
much does he make selling the rugs listed in part a)?
3-et,
c.
0
79
11.
Karen sells her crafts on the Internet. When shipping her crafts,
she charges a flat fee for the package plus a set amount for each small
item and a different set amount for each large item. Her shipping rates
are all based on the fee for a small item. The flat fee is 3 times the
square of the small-item fee, while the charge for a large item is 1 less
han twice the small-item fee.
e. Write and simplify an expression for shipping one larg and one’
small item.
M
-
-
-
4:;?
=
-
s?-
c
-
2-
-
kc
f. Write and simplify an expression for shipping two small item
and three large items.
+
,
-
k- c
-
3
8x
g. If the charge for a small item is $2p what would be the cost of
shipping the package described in part b)?
3?
.‘--
&)‘+ (z_
ihc
-
Z5
Co-1-
4r
1DS
25.
Chapter 7
0
1. Determine the multiplication statements that are represented by the
algebra tiles below.
a.
Equation:
(2)(- Zx+’)
-
b.
0
Equation:
2. Determine the division statements that are represented by the algebra
tiles below.
a.
-
Equation:
lx
—
—‘
—2
0
b.
=
2x
—
Equation:
3. Multiply
a
a.
(2x)(5x)=
b.
(_x)(_4x2) =
c.
(l2xy)(lOx2y)
U.
(3)(x2+6x+2)= ‘bX# Dc--6
e.
(2x)(4x2
f.
(-x)(—5x2
g.
(2x)(4x2y2+2xy+Sx)= c
h.
(x)(4x2y+2x2—6y2+3)=
I.
(3xy)(2x2+Oxy—4y2)=
—
\Q
=
i2Ocj2
x + 10)
—
2x —9)
—
=
S x.
2c
4.-
÷ Zc
2.
‘C
4C
y
-
—12x3
4. Divide
a.
b.
0
(15x2)
=
(5x)
(16x2y)
(—4x)
32.
(18x5y3z) =
C.
d.
e.
f
g.
h.
—
(—9x2yz)
2 -c
(8x—4)
—
(2)
(18x2—9x+21) =
—
—
(—3)
(15x3—20x2+;ox)
(5x)
Sx.
=
(16x2y2+24xy+8x)
(4x)
L4
4-
C)
2.
2
—
2
—
(18x3-27x2-36x) =
—
(—9x)
(14x3—21x2—7x)
—
7
—
z
-
—
(—7x)
1.
L4
(28x5—16x3+12x2—32x) =
—
(—4x)
2
—
-i-
B
0
5. Simplify
a
a.
b.
c.
(4x)(3x-6)
—
2..
—
(6)
6
(2)(8x3—6x2—12x)
(-4x)
(—3)(4x2
X—
—
-
-
—
Lk
2z
—
—
qx.
3.
=
—
7x + 9) + (4)(—2x2 + 3x + 1)
=
(10x2)(6x2-3x+12)
(—3x)(Sx)
50 x.3
—
e.
.Oc2
+
—
_LZc
(—5x2y2)6xyz(7z3)
—
—
2.iO c3y z ‘a
—
(—y)(—3z2)
-7QD
Chapter 8
2.
V
1.
7
DL5
2. 9(12—x)=45
lOB
-q-x.
=
q
S
-
3.G2’
—
-
I
f
..i-
—
_iZ2
-
U.
x.
-63
2ix
)r
3 .c.
—
÷
6
27 4Zc
S 2-S
4. 7x+18=9x—4
0
=q.9-
rj;m
5. 4(x+8)=48
t
C22.’ib-2
L)c16
‘+
6(18)
—7z
-
7a-iZq
_L
7(
—
1s)k75’)
Zx._LI5 2Z5
8(3x
8.
—
214
1
3)
=
4(5x
—
2-c
2’-
-
I
=Z2-5-S
Z-,--k’5
0
3)
2
-
-‘
-
-%2Vt1
=
—
,
(
9. 2x+1=—3x+36
2.x
/
I
-
S
-
_55
10. —2(3x
—
4)
=
—
8
—6
0
11. 5x+2(2x—5)=8
q(..
110/7
z
0
0
12.(_)=(J+ i
4-bc)
5)’
-)c
‘-c
30
k
So
l3.5(x—12)—24=3(x-i-2)
SDE.-60-19
2-
)c.
=-6
1-=(4’)
-
-S
15. 6(x—2)2(9—2x)
x.
-
-
I 2.
/
-
2-
I
-
16.3(2x+ 5)+2(2x+ 1) —37
7-g7
z
CC.)
x+21
(
x—3
—
17.—
7
8
7t8c
(
-7
-
-
-
=
7- 2.1
)E-
2\I
18. 5(4x + 2) + lOx
SCz.
3
2CE.-t’)
-
-
z
0
=
100
C) C)
I C)
2
IS
.
=
‘S
=
‘S
.
f’
—‘
I
_Ic(
‘
39
2)=1)
--\-
-2--c
-
-
21.
The length of the rectangular buildings 7 ft more than its width.
If the perimeter of the building wall is 98 ft, find its length and width.
Lé
x
xLZx
-w
-
22.
Q
z-c4.
Ana writes test to upgrade her level. The test has 25 qu.estions
for a total score of 150 points. Among the 25 questions, each multiple
choice questions carries 3 pointsancLthe descriptive type questions
carries 8 points. How many multiple choice questions and descriptive
the test?
type questions are there
in
rF
ñ-sb-cr
25
—
-&rc
±
c
(2
rr--1t-.
cce
cecfp4-
--)
;LAC54r5
SC
p
rv
—
\S
_-Ec
— So
-5
ThL•z O
Cc
.
cJeccp4i’..c
5
0
Q
23.
Mavity’s Furniture discounts all furniture 8% to customers paying
in cash. Rhonda paid $1,200.63 in cash for a sofa, loveseat and chair.
What was the original price of the furniture?
x. or\c
12oo-6
x
Dx
24.
Margie is responsible for buying a week’s supply of food and
medication for the dogs and cats at a local shelter. The food and
medication for each dbg costs twice as much as those supplies for a
cat. She needs to feed 164 cats and 24 dogs. Her budget is
$4240’. How much can Margie spend on each dog for food and
medication?
C&
çpcs
0Q cc.?c
cL
c
C.cr
5L&ps
Qr
i6Lc
4-
z(z-1zc
=
ecLC34-..
5pcX
ckcj
-&c
1-c)cck cvmc& Cicc.4c.r.
LL4()
L
2IZ
25.
When 142 is added to a number, the result is 64 more than 3
times the number. Find the number.
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1
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I-17
1L
J3
2
-Dc
-
+
-
C
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t4c
6
-
-k
Z
ñ-c
,
26.
a
book?
Calvin Butterball buys a book for $14.70, which is
discount off the regular price. What is the regular price of the
0
(DcLC
‘t .7C
TIie
CiLcc
pcic
G7
Two planes, which are 2400 km apart, fly toward each other.
27.
Their speeds differ by 60 km/hour. They pass each other after 5 hours.
Find their speeds.
W
‘SL4 S(4’
‘S c
-
S
=
a -& o
÷
5
2LICX.
L0x. k
Thjr
Z’1Ok/k
2$.
-
0
5F-” or(
o1’
orc
Phoebe spends 2 hours training for an upcoming race. She runs
full speed at 8 km pr hour for the race distance; then she walk back
to her starting point’at 2 km per hour How long does she spend
walking? How long does she spend running?
d.
\)
2ft—5c)
-1x
i(z-)
\\L C”)
?boe-b
5eec-4
rc’c
42 x
L-j
0
S
0
(6ø4C