Download Indiv. Algebra Midterm Review(2)

Algebra I
Midterm Review
Extravaganza
In which month were you born?
Jan., Feb. March
Apr., May, Jun.
Jul., Aug., Sep.
Oct., Nov., Dec.
3
4
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0%
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.,
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Ju
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Things to remember …
• There is no countdown timer this time but
you still must try to work quickly.
• You will be graded on your performance.
• This time you earn points (not graded) as
a team … I’m no really sure how this will
work, so bear with me.
Here we go!
4 times the sum of q and p
4q + p
4+q+p
4qp
4(q + p)
3
4
5
p)
+
q
q
+
4
2
0%
4(
+
p
+
4q
1
0%
p
0%
p
0%
4q
1.
2.
3.
4.
Fastest Responders (in seconds)
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Participant 17
Participant 18
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Participant 20
Evaluate u + xy,
for u = 18, x = 10, and y = 8.
2
3
4
5
0%
0%
4
0%
22
1
18
8
0%
98
188
36
98
224
36
1.
2.
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Participant 20
Simplify the expression.
108
36
18
9
1
2
3
4
5
0%
0%
9
0%
18
10
8
0%
36
1.
2.
3.
4.
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Participant 17
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Participant 20
Name the set(s) of numbers to
which –5 belongs.
1. whole numbers,
natural numbers,
integers
2. rational numbers
3. whole numbers,
integers, rational
numbers
4. integers, rational
numbers
2
3
4
5
at
io
n
al
nu
.
..
...
in
te
g
rs
,
,r
er
s
te
g
in
w
ho
le
nu
ra
m
be
tio
n
al
nu
m
be
na
tu
r..
rs
,
m
be
nu
ho
le
w
1
rs
0% 0% 0% 0%
Fastest Responders (in seconds)
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Participant 1
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Participant 13
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0
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Participant 6
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Participant 8
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Participant 20
Simplify the expression.
–4.8 – (–4.9) + 5.7
–4
–5.8
5.8
–15.4
1
2
3
4
5
4
0%
5.
0%
–1
.8
0%
–5
–4
0%
5.
8
1.
2.
3.
4.
Fastest Responders (in seconds)
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20
125
–625
625
1
2
3
4
5
5
0%
62
25
0%
–6
0%
5
20
0%
12
1.
2.
3.
4.
Fastest Responders (in seconds)
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36
–72
72
–36
1
2
3
4
5
6
0%
–3
0%
72
0%
2
36
0%
–7
1.
2.
3.
4.
Fastest Responders (in seconds)
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(–5 – c)(–1)
–5 + c
5+c
5–c
–5 – c
2
3
4
5
0%
–
–
c
–5
5
+
c
+
–5
1
0%
c
0%
c
0%
5
1.
2.
3.
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Participant 17
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Evaluate –x + 2.7 for x = 0.9.
–1.8
–3.6
1.8
3.6
1
2
3
4
5
0%
0%
3.
6
.6
0%
–3
–1
.8
0%
1.
8
1.
2.
3.
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Participant 17
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Participant 20
Evaluate for x = –2
and y = 3.
4
8
–4
–8
1
2
3
4
5
0%
0%
–8
0%
–4
4
0%
8
1.
2.
3.
4.
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Participant 20
Evaluate b – 2a – c
for a = –7, b = 3, and c = –7.
24
3
10
–18
1
2
3
4
5
0%
8
0%
–1
0%
10
24
0%
3
1.
2.
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Participant 20
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
0%
1
2
3
4
5
$105.00
0%
$98.00
0%
0%
$104.93
$105.70
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Participant 20
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
3
4
5
Id
en
tit
y
u.
..
M
Pr
op
e
rt
y
rt
y
of
of
A
rt
..
Pr
op
e
Pr
op
e
Id
M
en
tit
y
at
io
n
of
2
ul
tip
lic
Pr
op
er
ty
e
ve
rs
In
1
...
.
M
u.
..
0% 0% 0% 0%
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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
3
4
5
M
u.
..
of
er
t..
.
In
ve
rs
e
iv
e
Pr
op
Pr
op
e
om
m
ut
at
C
tiv
e
ss
A
Pr
op
er
ty
A.
..
of
2
oc
ia
Pr
op
er
ty
e
ve
rs
In
1
rt
y.
..
0% 0% 0% 0%
Fastest Responders (in seconds)
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Participant 20
Solve the equation.
3(y + 6) = 30
5
16
4
–16
1
2
3
4
5
0%
6
0%
–1
0%
4
5
0%
16
1.
2.
3.
4.
Fastest Responders (in seconds)
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Participant 6
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Participant 20
5x– 5 = 3x– 9
–2
1
–1
–3
1
2
3
4
5
0%
0%
–3
0%
–1
–2
0%
1
1.
2.
3.
4.
Fastest Responders (in seconds)
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Participant 6
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Participant 20
Write the inequality in words.
5n – 10 > 26
Five times n less than
ten is twenty-six.
Ten plus five times a
number is less than or
equal to twenty-six.
Ten less than five times
a number is greater
than twenty-six.
Ten less than a number
is less than or equal to
twenty-six.
1
2
3
4
5
...
nu
a
n
th
a
ss
ss
Te
n
le
le
n
Te
m
be
tim
..
fiv
n
th
a
fiv
e
pl
us
n
e
tim
es
a.
..
n.
..
th
a
ss
le
Fi
ve
4.
0% 0% 0% 0%
n
3.
Te
2.
tim
es
1.
Fastest Responders (in seconds)
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Participant 6
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Participant 17
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Participant 20
The graph below shows how the cost of
gasoline changes over one month.
According to the graph, the cost of
gasoline ________ decreases.
so
m
et
2
3
4
5
r
s
w
ay
al
1
0%
ve
0%
im
es
0%
ne
1. always
2. sometimes
3. never
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Participant 20
A function is ________ a
relation.
1. always
2. sometimes
3. never
so
m
et
2
3
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5
r
ve
s
w
ay
al
1
0%
ne
0%
im
es
0%
Fastest Responders (in seconds)
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Participant 20
An equation in standard form that has a “c” not
equal to zero is ________ a direct variation.
1. sometimes
2. always
3. never
so
1
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ve
r
0%
ne
w
ay
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al
m
et
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Participant 6
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Participant 16
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Participant 20
Evaluate for x = 3.
–11
1
–6
11
1
2
3
4
5
0%
0%
11
0%
–6
–1
1
0%
1
1.
2.
3.
4.
Fastest Responders (in seconds)
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Participant 6
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Participant 10
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Participant 20
x
f(x)
–1
2
0
0
2
–4
5
–10
Find the constant of variation
k for the direct variation.
k = –1.5
k=2
k = –0.5
k = –2
2
3
4
5
0%
=
–2
=
k
–0
.
2
=
k
–1
.
=
k
1
0%
5
0%
5
0%
k
1.
2.
3.
4.
Fastest Responders (in seconds)
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Participant 1
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Participant 6
Participant 7
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Participant 16
Participant 17
Participant 18
Participant 19
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Participant 10
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Participant 20
Find the x- and y-intercept of the
line.
2x + 3y = –18
1. x-intercept is 18; yintercept is 18.
2. x-intercept is –6; yintercept is –9.
3. x-intercept is 2; yintercept is 3.
4. x-intercept is –9; yintercept is –6.
1
2
3
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5
-in
t..
.
–9
2;
x-
in
te
rc
e
pt
is
is
pt
in
te
rc
e
;y
yin
t..
.
-in
t..
.
;y
–6
is
x-
pt
in
te
rc
e
x-
x-
in
te
rc
e
pt
is
18
;y
-in
t..
.
0% 0% 0% 0%
Fastest Responders (in seconds)
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Participant 1
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Participant 3
Participant 4
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Participant 14
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0
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Participant 6
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0
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Participant 16
Participant 17
Participant 18
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Participant 10
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Participant 20
–3x+ 9y = 18
1. x-intercept is 2; yintercept is –6.
2. x-intercept is –3; yintercept is 9.
3. x-intercept is –6; yintercept is 2.
4. x-intercept is 9; yintercept is –3.
1
2
3
4
5
yin
t..
.
..
-in
.
;y
x-
in
te
rc
e
pt
is
9;
–6
is
x-
in
te
rc
e
pt
is
pt
in
te
rc
e
x-
x-
in
te
rc
e
pt
is
2;
–3
;y
-in
.
yin
t..
.
..
0% 0% 0% 0%
Fastest Responders (in seconds)
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Participant 1
Participant 2
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Participant 11
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Participant 3
Participant 4
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Participant 6
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Participant 8
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0
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0
Participant 16
Participant 17
Participant 18
Participant 19
0
Participant 10
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Participant 20
Find the slope of the line that
passes through the pair of points.
(2, 3) and (-1, 6)
1
-1
2
-2
2
3
4
5
0%
0%
-2
1
0%
2
1
0%
-1
1.
2.
3.
4.
Fastest Responders (in seconds)
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0
Participant 1
Participant 2
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Participant 3
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Participant 6
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Participant 16
Participant 17
Participant 18
Participant 19
0
Participant 10
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Participant 20
Are the graphs of the lines in the
pair parallel? Explain.
y = 1/6x+ 8
–2x+ 12y = –11
Yes, since the slope are
the same and the yintercepts are the same.
No, since the yintercepts are different.
Yes, since the slope are
the same and the yintercepts are different.
No, since the slopes are
different.
1
2
3
4
5
a.
s
op
e
sl
sl
th
e
th
e
e
N
o,
si
nc
e
si
nc
s,
.
a.
.
op
e
te
rc
...
yin
e
si
nc
o,
N
Ye
s,
si
nc
e
th
e
th
e
sl
4.
0% 0% 0% 0%
Ye
3.
a.
.
2.
op
e
1.
Fastest Responders (in seconds)
0
0
Participant 1
Participant 2
0
0
Participant 11
Participant 12
0
0
0
Participant 3
Participant 4
Participant 5
0
0
0
Participant 13
Participant 14
Participant 15
0
0
0
0
Participant 6
Participant 7
Participant 8
Participant 9
0
0
0
0
Participant 16
Participant 17
Participant 18
Participant 19
0
Participant 10
0
Participant 20
Graph the function.
1
2
3
4
5
Pi
Pi
ct
u
ct
u
re
re
C
C
ho
i
ho
i
ce
ce
2
1
1.
2.
0%
0%
Fastest Responders (in seconds)
0
0
Participant 1
Participant 2
0
0
Participant 11
Participant 12
0
0
0
Participant 3
Participant 4
Participant 5
0
0
0
Participant 13
Participant 14
Participant 15
0
0
0
0
Participant 6
Participant 7
Participant 8
Participant 9
0
0
0
0
Participant 16
Participant 17
Participant 18
Participant 19
0
Participant 10
0
Participant 20
Find the x- and y-intercept of the
line.
2x + 3y = –18
1. x-intercept is 18; yintercept is 18.
2. x-intercept is –6; yintercept is –9.
3. x-intercept is 2; yintercept is 3.
4. x-intercept is –9; yintercept is –6.
1
2
3
4
5
-in
t..
.
–9
2;
x-
in
te
rc
e
pt
is
is
pt
in
te
rc
e
;y
yin
t..
.
-in
t..
.
;y
–6
is
x-
pt
in
te
rc
e
x-
x-
in
te
rc
e
pt
is
18
;y
-in
t..
.
0% 0% 0% 0%
Fastest Responders (in seconds)
0
0
Participant 1
Participant 2
0
0
Participant 11
Participant 12
0
0
0
Participant 3
Participant 4
Participant 5
0
0
0
Participant 13
Participant 14
Participant 15
0
0
0
0
Participant 6
Participant 7
Participant 8
Participant 9
0
0
0
0
Participant 16
Participant 17
Participant 18
Participant 19
0
Participant 10
0
Participant 20
Match the following equations
with their graphs.
1
2
3
4
5
ct
u
ct
u
re
re
C
C
ho
i
ho
i
ce
ce
2
1
1.
Pi
Pi
y = –3
2.
0%
0%
1
2
3
4
5
ct
u
ct
u
re
re
C
C
ho
i
ho
i
ce
ce
2
1
1.
Pi
Pi
x = –4
2.
0%
0%
y + 2 = –(x – 2)
2.
1.
1
2
3
4
5
ce
ho
i
C
re
ct
u
Pi
Pi
ct
u
re
C
ho
i
ce
2
0%
1
0%
Tell whether the lines for each
pair of equations are parallel,
perpendicular, or neither.
y = -1/2x – 11
16x– 8y = –8
1. neither
2. perpendicular
3. parallel
nd
ic
rp
e
pe
2
3
4
5
le
l
ra
l
er
ith
ne
1
0%
pa
0%
ul
ar
0%
Fastest Responders (in seconds)
0
0
Participant 1
Participant 2
0
0
Participant 11
Participant 12
0
0
0
Participant 3
Participant 4
Participant 5
0
0
0
Participant 13
Participant 14
Participant 15
0
0
0
0
Participant 6
Participant 7
Participant 8
Participant 9
0
0
0
0
Participant 16
Participant 17
Participant 18
Participant 19
0
Participant 10
0
Participant 20
Tell whether the system has no
solution, one solution, or infinitely
many solutions.
y = 5x– 4
y = 5x– 5
1. no solutions
2. one solution
3. infinitely many
solutions
in
fin
i
tio
n
te
ly
on
m
an
y
e
so
so
lu
lu
tio
io
ns
lu
t
so
no
1
2
3
4
5
0%
s
0%
n
0%
Fastest Responders (in seconds)
y=x+4
y–4=x
1. infinitely many
solutions
2. no solutions
3. one solution
2
3
4
5
lu
tio
io
ns
so
e
on
no
so
lu
t
tio
n
so
lu
m
an
y
te
ly
fin
i
in
1
0%
n
0%
s
0%
Fastest Responders (in seconds)
y = 2x – 3
y = –x + 3
tio
n
io
ns
lu
t
lu
tio
m
an
y
so
in
fin
i
te
ly
no
so
e
on
1
2
3
4
5
0%
s
0%
n
0%
so
lu
1. one solution
2. no solutions
3. infinitely many
solutions
Fastest Responders (in seconds)
Find the value of b that makes the system of
equations have the solution (3, 5).
y = 3x – 4
1. 0
y = bx + 2
2. –1
3. 2
4. 1
1
2
3
4
5
0%
1
0%
2
0%
–1
0
0%
Fastest Responders (in seconds)
Solve the following systems of
equations ....
… if you can.
y = 2x – 10
y = 4x – 8
(3, 4)
(–1, –12)
(–4, –17)
(3, –4)
2
3
4
5
,–
4)
0%
(3
4,
–1
2)
–1
1,
(–
(3
1
0%
7)
0%
,4
)
0%
(–
1.
2.
3.
4.
Fastest Responders (in seconds)
3y = –x + 2
y = –x + 9
(3, 6)
(20, –4)
(10, –1)
(–1, 8)
2
3
4
5
0%
8)
1,
(–
0,
–1
)
–4
0,
(2
(3
1
0%
)
0%
,6
)
0%
(1
1.
2.
3.
4.
Fastest Responders (in seconds)
The sum of two numbers is 82. Their difference is 24. Write
a system of equations that describes this situation.
48 and 24
52 and 30
0% 0% 0% 0%
3
4
5
8
=
y
+
x
–
x
+
2
..
24
=
y
+
x
8
y
=
=
8
53 and 29
x
1
...
..
48 and 30
y
1. x + y = 8
2x – y = 24
2. x – y = 8
2x + y = 24
3. x + y = 24
y – x = 82
4. x + y = 8
2x – y = 24
Fastest Responders (in seconds)
3x + 3y = –93
x – 3y = 21
(3, –6)
(–5, 2)
(3, 3)
(2, –5)
1
2
3
4
5
,–
5)
0%
(2
0%
,3
)
5,
2)
0%
(–
(3
,–
6)
0%
(3
1.
2.
3.
4.
Fastest Responders (in seconds)
3x – 4y = –24
x + y = –1
(–4, 3)
(0, 6)
(3, 4)
(4, 3)
1
2
3
4
5
,3
)
0%
(4
0%
,4
)
,6
)
0%
(0
(–
4,
3)
0%
(3
1.
2.
3.
4.
Fastest Responders (in seconds)
x + 2y = –63
x + 8y = –20
(–1, –4)
(–4, 4)
(–4, –1)
(3, 1)
2
3
4
5
,1
)
0%
(3
4,
–1
4)
4,
(–
–4
1,
(–
1
0%
)
0%
)
0%
(–
1.
2.
3.
4.
Fastest Responders (in seconds)
By what number should you multiply the first
equation to eliminate the x ?
–3x – 2y = 2
1. 6
–9x + y = 5
2. –9
3. 2
4. 3
1
2
3
4
5
0%
3
0%
2
0%
–9
6
0%
Fastest Responders (in seconds)
Last question!
Worth 10,000 points …
… no pressure!
A motorboat can go 8 miles downstream on a river in 20
minutes. It takes 30 minutes for the boat to go upstream the
same 8 miles. Find the speed of the current.
7 mph
6 mph
5 mph
4 mph
1
2
3
4
5
0%
4
m
ph
0%
m
ph
m
ph
0%
6
7
m
ph
0%
5
1.
2.
3.
4.
Fastest Responders (in seconds)