Transcript Variable Expressions - Eval - Simpl-Order of ops

Chapters 1 and 2
Review
Everything you wanted to know about expressions but were afraid to
ask.
Please select a Team.
am
Te
am
Te
5
20%
4
20%
3
am
am
Te
am
20%
2
20%
1
20%
Te
Team 1
Team 2
Team 3
Team 4
Team 5
Te
1.
2.
3.
4.
5.
Write an algebraic expression for
the phrase.
4 times the sum of q and p
p)
+
q
q
+
4
25%
4(
+
p
+
25%
p
25%
p
25%
4q
4q + p
4+q+p
4qp
4(q + p)
4q
1.
2.
3.
4.
Define a variable and write an
expression for the phrase.
Days
Cost
2
3
5
6
44
66
110
132
25% 25% 25% 25%
22
d
+
22
=
c
=
c
d
+
d
=
c
=
22
22
d
c
d = 22c
c = 22d
c = d + 22d
c = d + 22
d
1.
2.
3.
4.
What equation models the data
in the table if d = number of days
and c = cost?
An equilateral triangle has three sides of equal length.
What is the equation for the perimeter of an equilateral
triangle if P = perimeter and s = length of a side?
s = 3P
P = 3s
P=3+s
P = 3(s + s + s)
s
P
=
3(
s
P
+
=
s
3
+
+
3s
P
=
3P
=
s)
25% 25% 25% 25%
s
1.
2.
3.
4.
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
25%
4
25%
22
25%
36
25%
8
188
36
98
224
18
1.
2.
3.
4.
98
Evaluate u + xy, for u = 18, x =
10, and y = 8.
A pair of shoes costs $52.99 and the state sales tax is 8%.
Use the formula C = p + rp to find the total cost of the
shoes, where C is the total cost, p is the price, and r is the
sales tax rate.
1.
2.
3.
4.
$95.38
$60.99
$57.23
$78.19
25%
$95.38
25%
25%
$60.99
$57.23
25%
$78.19
r
ve
ne
m
et
so
al
w
ay
s
im
es
When simplifying an expression, you ____
perform operations inside grouping symbols
first.
1. always
33% 33% 33%
2. sometimes
3. never
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
25%
25%
4
25%
14
25%
24
36
24
81
144
36
1.
2.
3.
4.
81
Evaluate the expression
for a = 4 and b = 3.
You can use the formula to convert temperature in
degrees Fahrenheit, F, to temperature in degrees
Celsius, C. What is 62°F in degrees Celsius?
Round your answer to the nearest tenth.
4°
C
25%
2.
.2
.7
°C
25%
°C
25%
16
°C
25%
52
30°C
16.7°C
52.2°C
2.4°C
30
1.
2.
3.
4.
Simplify the expression.
25%
9
25%
18
25%
36
25%
8
108
36
18
9
10
1.
2.
3.
4.
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
Simplify the expression.
25%
92
25%
8
25%
12
25%
80
29
80
128
92
29
1.
2.
3.
4.
Simplify the expression.
7
25%
86
7
25%
43
8
25%
86
25%
7
297
868
437
867
29
1.
2.
3.
4.
25%
25%
26
18
1
25%
16
25%
5
585
169
26
181
58
1.
2.
3.
4.
9
Simplify the expression.
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
Evaluate the formula for
B = 9 in.2 and h = 32 in.
25%
in
.3
in
.3
25%
96
6
in
.3
25%
9.
8
in
.3
25%
32
288 in.3
9.6 in.3
32 in.3
96 in.3
28
1.
2.
3.
4.
A rational number is ____ a real
number.
so
m
et
r
s
w
ay
al
33%
ve
33%
im
es
33%
ne
1. always
2. sometimes
3. never
Name the set(s) of numbers to
which 1.68 belongs.
1. rational numbers
2. natural numbers,
whole numbers,
integers, rational
numbers
3. rational numbers,
irrational numbers
4. none of the above
ra
ne
ov
e
of
th
e
ab
ir r
...
rs
,
nu
m
be
tio
n
al
nu
tu
ra
l
na
no
w
h.
..
m
be
al
tio
n
ra
rs
,
nu
m
be
rs
25% 25% 25% 25%
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
Name the set(s) of numbers to
which –5 belongs.
in
te
g
nu
.
al
er
s
,r
at
io
n
rs
,
m
be
..
in
te
...
rs
w
ho
le
ra
nu
tio
n
al
nu
m
be
na
tu
r..
rs
,
m
be
nu
4.
25% 25% 25% 25%
ho
le
2.
3.
whole numbers, natural
numbers, integers
rational numbers
whole numbers,
integers, rational
numbers
integers, rational
numbers
w
1.
in
te
g
er
s
rs
nu
m
be
ra
tio
n
al
al
n
io
n
irr
at
w
ho
le
nu
m
be
um
be
rs
rs
Which set of numbers is the most
reasonable to describe the number of desks
in a classroom?
1. whole numbers
25% 25% 25% 25%
2. irrational numbers
3. rational numbers
4. integers
The opposite of a negative
number is ____ negative.
so
m
et
r
s
w
ay
al
33%
ve
33%
im
es
33%
ne
1. always
2. sometimes
3. never
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
=
.8
50%
–2
50%
2.
8
1. 2.8
2. –2.8
Hour
Worked
Pay
2
$15.00
4
$30.00
6
$45.00
8
$60.00
25%
25% 25%
25%
=
h
h
=
p
7.
+
50
p
15
h
15
=
p
=
7.
50
h
p = 7.50h
p = 15h
p = h + 15
h = 7.50p
p
1.
2.
3.
4.
Write a function rule
for each table.
Days
Cost to Rent
a Truck
1
2
3
34
56
78
4
100
25% 25% 25% 25%
22
d
22
c
=
=
c
22
d
+
22
+
12
d
=
c
=
22
d
+
12
c = 22d + 12
c = 12d + 22
c = 22d + 22
c = 22d
c
1.
2.
3.
4.
Write a function rule
for each table.
The cost of playing pool increases with the amount of time
using the table. Identify the independent and dependent
quantity in the situation.
1. time at table; cost
2. cost; time at table
3. number of games;
cost
4. cost; number of
players
ye
rs
t
um
be
ro
fp
la
os
co
st
;n
ro
fg
am
es
;c
ta
b
at
nu
m
be
st
;t
im
e
co
tim
e
at
ta
bl
e
;c
os
le
t
25% 25% 25% 25%
Team Scores
0
0
Team 1
Team 2
0
0
Team 3
Team 4
0
Team 5
The french club is holding a car wash fundraiser. They are going to
charge $10 per car, and expect between 50 and 75 cars. Identify the
independent and dependent quantity in the situation, and find
reasonable domain and range values.
1.
2.
3.
4.
number of cars; money raised; 50
to 75 cars; $500 to $750
money raised; number of cars;
$500 to $750; 50 to 75 cars
number of cars; money raised;
$500 to $750; 50 to 75 cars
money raised; number of cars; 50
to 75 cars; $500 to $750
25% 25% 25% 25%
number of money number of money
cars;
raised;
cars;
raised;
money number of money number of
raised; 50 cars; $500 raised; cars; 50 to
to 75 cars; to $750; 50 $500 to
75 cars;
$500 to to 75 cars $750; 50 to $500 to
$750
75 cars
$750
Simplify the expression.
–9 + 6
25%
3
25%
5
25%
–1
25%
–3
15
–3
–15
3
15
1.
2.
3.
4.
Simplify the expression.
–4.8 – (–4.9) + 5.7
5.
4
25%
–1
25%
5.
8
25%
.8
25%
–5
–4
–5.8
5.8
–15.4
–4
1.
2.
3.
4.
25%
25%
–1
2
25%
12
25%
–1
13
–13
12
–12
13
1.
2.
3.
4.
3
Simplify the expression.
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
Simplify the expression.
3.7 – 1.8 – 3.67 + 4.4 – 1.34
25%
8.
63
25%
1.
29
9
25%
.2
.5
1
25%
–1
–7.51
–1.29
1.29
8.63
–7
1.
2.
3.
4.
Simplify the expression.
–6.5(–4.9)
.8
5
25%
31
25
25%
2.
1.
85
25%
–3
6.
25
25%
–1
–16.25
–31.85
–12.25
31.85
–1
1.
2.
3.
4.
Simplify the expression.
25%
32
0
25%
–1
25%
16
25%
2
–32
16
–10
32
–3
1.
2.
3.
4.
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
25%
62
5
25%
–6
25%
5
25%
12
20
125
–625
625
20
1.
2.
3.
4.
25
Simplify the expression.
25%
25%
–3
6
25%
72
25%
–7
36
–72
72
–36
36
1.
2.
3.
4.
2
Simplify the expression.
Simplify the expression.
25%
–
c
c
–
5
5
+
c
25%
–5
25%
c
25%
+
–5 + c
5+c
5–c
–5 – c
–5
1.
2.
3.
4.
(–5 – c)(–1)
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
Simplify the expression.
1. –18n + 81mn –
153np
2. –2n + 9m – 17p
3. –2n + 9mn – 17np
4. –2n – 9mn + 17np
np
+
17
np
17
–
n
–2
+
n
–2
9m
n
9m
n
9m
–2
n
+
–
m
n
81
+
8n
–1
–
–
15
3
17
np
p
25% 25% 25% 25%
A mountain climber ascends a mountain to its peak. The
peak is 12,740 ft above sea level. The climber then
descends 200 ft to meet a fellow climber. Find the climber’s
elevation above sea level after meeting the other climber.
ft
40
,9
12
,7
40
ft
54
0
2,
–1
40
,5
25%
ft
25% 25%
ft
25%
10
12,540 ft
–12,540 ft
10,740 ft
12,940 ft
12
1.
2.
3.
4.
Simplify the expression.
Evaluate –x + 2.7 for x = 0.9.
25%
3.
6
25%
1.
8
25%
.6
.8
25%
–3
–1.8
–3.6
1.8
3.6
–1
1.
2.
3.
4.
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
The temperature on a summer afternoon is 85°F. Define a
variable and write an expression to find the temperature
after it changes. Then evaluate your expression for a
decrease of 11 degrees Fahrenheit.
11 + c; 11 + (–85) = 96
85 + c; 85 + (–11) = 74
11 – c; 11 – (–85) = 74
85 – c; 85 – (–11) = 96
96
(–
1
c;
–
85
11
–
c;
85
–
11
–
(–
8
1)
=
5)
=
74
74
=
1)
(–
1
+
85
c;
+
85
+
c;
11
+
(–
8
5)
=
96
25% 25% 25% 25%
11
1.
2.
3.
4.
25%
25%
25%
–8
25%
–4
4
8
–4
–8
4
1.
2.
3.
4.
8
Evaluate for x = –2
and y = 3.
25%
25%
8
25%
–1
25%
10
24
3
10
–18
24
1.
2.
3.
4.
3
Evaluate b – 2a – c
for a = –7, b = 3, and c = –7.
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
The closing price of a share of stock in Company XYZ is
$25.69 on Thursday. If the change from the closing price on
Wednesday is –$0.75, find the closing price on
Wednesday.
1.
2.
3.
4.
$26.44
$24.94
$25.75
$25.06
25%
$26.44
25%
25%
$24.94
$25.75
25%
$25.06
You made two deposits to your bank account this month. One deposit
was $17.92, and the second deposit was $15.33. Your balance at the
end of the month is $72.31, and you made no withdrawals. Write and
evaluate an expression for your balance at the beginning of the month.
1.
2.
3.
4.
$72.31 + ($17.92 – $15.33); 25%
$74.90
$72.31 – $17.92 – $15.33;
$39.06
$72.31 + $17.92 + $15.33;
$105.56
$72.31 – ($17.92 – $15.33);
$69.72
$72.31 +
($17.92 –
$15.33);
$74.90
25%
$72.31 –
$17.92 –
$15.33;
$39.06
25%
$72.31 +
$17.92 +
$15.33;
$105.56
25%
$72.31 –
($17.92 –
$15.33);
$69.72
Evaluate x(–y + z)
for x = 3, y = 3, and z = 1.
25%
25%
–8
25%
12
25%
10
–6
10
12
–8
–6
1.
2.
3.
4.
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
The expression can be used to calculate the
change in temperature in degrees Fahrenheit
for an increase in altitude a, measured in feet. A
plane starts on the ground and then rises
23,000 ft. Find the change in temperature at the
altitude of the plane.
126.5 degrees
–126.5 degrees
–125 degrees
125 degrees
s
re
e
s
de
g
gr
ee
12
5
de
25
–1
.5
26
–1
6.
5
de
g
de
gr
ee
re
e
s
s
25% 25% 25% 25%
12
1.
2.
3.
4.
The product of two negative
numbers is ____ positive.
so
m
et
r
s
w
ay
al
33%
ve
33%
im
es
33%
ne
1. always
2. sometimes
3. never
–12(–2)
25%
6
25%
4
25%
–2
25%
–6
24
–6
–24
6
24
1.
2.
3.
4.
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
Evaluate for m = –4,
n = 2, and p = 1.5.
2
25%
–2
0
25%
–3
9
25%
–1
25%
0
–10
–19
–30
–22
–1
1.
2.
3.
4.
If a is a negative number, then
is ____ equal to –1.
33%
33%
33%
r
ve
ne
m
et
so
al
w
ay
s
im
es
1. always
2. sometimes
3. never
Simplify 7(499) using the
Distributive Property.
86
25%
34
14
25%
35
25%
93
00
25%
34
3500
3493
3514
3486
35
1.
2.
3.
4.
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
Use the Distributive Property to find the
price of 7 CDs that cost $14.99 each.
1.
2.
3.
4.
$105.00
$98.00
$104.93
$105.70
25%
$105.00
25%
25%
$98.00
$104.93
25%
$105.70
For every real number x, y, and z, the statement
is ____ true.
so
m
et
r
s
w
ay
al
33%
ve
33%
im
es
33%
ne
1. always
2. sometimes
3. never
25%
z
25%
18
8z
25%
–3
25%
z
38z
–38z
18
18z
38
1.
2.
3.
4.
18
–10z – 28z
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
Name the property the equation
illustrates.
1. Inverse Property of
Multiplication
2. Multiplication
Property of –1
3. Identity Property of
Addition
4. Identity Property of
Multiplication
Id
u.
..
M
of
rt
y
Pr
op
e
en
tit
y
Pr
op
e
rt
y
of
A
rt
..
Pr
op
e
Id
en
tit
y
at
io
n
of
M
ul
tip
lic
Pr
op
er
ty
e
ve
rs
In
...
.
M
u.
..
25% 25% 25% 25%
0+x=x
1. Identity Property of
Addition
2. Multiplication
Property of 0
3. Commutative
Property of Addition
4. Inverse Property of
Multiplication
M
u.
..
of
er
t..
.
In
ve
rs
e
Pr
op
er
ty
Pr
op
iv
e
n
om
m
ut
at
C
at
io
ul
tip
lic
M
Id
en
tit
y
Pr
op
e
rt
y
of
Pr
op
e
A
rt
..
...
.
25% 25% 25% 25%
81/8 = 1
1. Identity Property of
Division
2. Inverse Property of
Addition
3. Inverse Property of
Multiplication
4. Multiplication
Property of –1
at
io
.
rt
..
n
Pr
op
e
M
u.
..
of
M
ul
tip
lic
Pr
op
er
ty
of
e
In
ve
rs
e
ve
rs
In
Id
en
tit
y
Pr
op
e
Pr
op
er
ty
rt
y
of
D
A.
..
...
25% 25% 25% 25%
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
8.2 + (–8.2) = 0
1. Inverse Property of
Addition
2. Addition Property of
0
3. Identity Property of
Addition
4. Inverse Property of
Multiplication
...
A
of
In
ve
rs
of
e
Pr
op
e
Pr
op
er
ty
rt
y
of
rt
y
en
tit
y
iti
on
dd
A
Pr
op
e
Id
In
ve
rs
e
Pr
op
er
ty
of
A.
..
0
M
u.
..
25% 25% 25% 25%
8 + 3.4 = 3.4 + 8
1. Inverse Property of
Addition
2. Associative Property
of Addition
3. Commutative
Property of Addition
4. Inverse Property of
Multiplication
M
u.
..
of
er
t..
.
ve
rs
e
Pr
op
er
ty
Pr
op
iv
e
In
Pr
op
e
om
m
ut
at
C
tiv
e
oc
ia
ss
A
In
ve
rs
e
Pr
op
er
ty
of
A.
..
rt
y.
..
25% 25% 25% 25%
7 + (4 + 4) = (7 + 4) + 4
er
t..
.
Pr
op
iv
e
Pr
op
om
m
ut
at
iv
e
C
Pr
op
e
om
m
ut
at
C
tiv
e
er
t..
.
rt
y.
..
A.
..
of
A
ss
oc
ia
Pr
op
er
ty
4.
e
3.
25% 25% 25% 25%
ve
rs
2.
Inverse Property of
Addition
Associative Property of
Addition
Commutative Property
of Multiplication
Commutative Property
of Addition
In
1.
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4.
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3.
25% 25% 25% 25%
ss
2.
Associative Property of
Addition
Commutative Property
of Multiplication
Inverse Property of
Multiplication
Commutative Property
of Addition
A
1.
(ab)3 = a(b3)
er
t..
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..
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4.
e
3.
25% 25% 25% 25%
ve
rs
2.
Inverse Property of
Multiplication
Associative Property of
Addition
Associative Property of
Multiplication
Commutative Property
of Multiplication
In
1.
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One More Question !!!!!
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