Algebra Question

ŠA [, 2)

Š0
2
B
4
8 x
6
D [, 2]
C
7
2) Find the additive and multiplicative inverse of 11 .
A
B
C
4
additive inverse: 11 ;
multiplicative inverse: 0
additive inverse: ? 11 ;
7
11
multiplicative inverse: 7
D
additive inverse: ? 7 ;
11
11
additive inverse: 7 ;
multiplicative inverse: ? 11
11
7
multiplicative inverse: 7
3) Identify the property demonstrated by the equation 6 + 12 = 18.
A Commutative Property B Closure Property C Distributive Property
by rationalizing the denominator.
4) Simplify
A
B
C
D
5) Simplify the expression
.
B
A
C
6) Simplify the expression
A 0 B `C 1 D ?3
B
8) Simplify the expression
A 3.25
D
.
7) Simplify the expression
A
. Assume all variables are nonzero.
C
D
. Write the answer in scientific notation.
10q B 3.25 10`C 3.25 10p D 3.25 1011
1
D Associative Property
MAT-103 Midterm Exam – Summer 2022
9) The commercial jet that travels from Miami to New York averages about 300 mi/h. The air distance from
Miami to New York is 1092 miles. Write a function to represent the distance d remaining on the trip t
hours after takeoff.
B
A
C
D
10) Determine whether the data set could represent a linear function.
x
0
1
2
3
f(x)
J2
5
8
A The data set is constant.
function.
B Cannot be determined
C No, the data set does not represent a linear
D Yes, the data set could represent a linear function.
11) Graph the line with slope ?1 that passes through (3, 3).
A
B
y
u r JŠ15
15
12
12
9
9
6
6
3
3
ÊÊ3
6
9
12
15
x
ÊʊJr
r
u
u
D
15
12
12
9
9
6
6
3
3
ÊÊ3
6
9
12
15
x
3
6
9
12
15
x
3
6
9
12
15
x
y
15
Š2
ŠJy
Šu r JŠC
u r Jy
u r JŠÊʊJJr
r
u
u
MAT-103 Midterm Exam – Summer 2022
12) Find the intercepts of
A
, and graph the line.
x-intercept: ? , y-intercept:
11
4
C
19
4
x-intercept: ? 4 , y-intercept: 4
11
y
p
B
Š
y
10
10
8
8
6
6
4
4
2
2
ŠŠ2
4
6
8
10
x
p
Š
ŠŠ

ŠŠ

p
p
D
19
x-intercept: , y-intercept: 4
2
4
6
8
10
x
8
10
x
x-intercept: , y-intercept: 4
y
y
10
10
8
8
6
6
4
4
2
2
p
p
Š
ŠŠ
Š
2
4
6
8
10
x
Š
ŠŠ2
4
6

Š
p
p
3
1
MAT-103 Midterm Exam – Summer 2022
13)Write the function
in slope-intercept form. Then graph the function.
A
C
y
y
10
10
8
8
6
6
4
4
2
2
p
Š
ŠŠ2
4
6
p
x
8
Š
ŠŠ2
4
6
8
x
2
4
6
8
x

ŠŠ

p
p
B
D
y
p
Š
y
10
10
8
8
6
6
4
4
2
2
ŠŠ2
4
6
8
x
p
Š
ŠŠ

ŠŠ

p
p
14) Determine if
is vertical or horizontal. Then graph.
A
C
The line is horizontal.
The line is horizontal.
y
J4

ʊy
5
5
4
4
3
3
2
2
1
1
JJ1
2
3
4
5
x
J
ʊJJŠŠÊÊ

JJ1
2
3
4
5
x
MAT-103 Midterm Exam – Summer 2022
B
D
The line is vertical.
The line is vertical.
y
J
ʊ15) Solve
y
5
5
4
4
3
3
2
2
1
1
JJ1
2
3
4
x
5
J
ʊJJŠŠÊÊ

JJx
1
2
3
4
5
1
2
3
4
5
x
1
2
3
4
5
x
for y. Graph the solution.
A
C
y
J
ʊy
5
5
4
4
3
3
2
2
1
1
JJ1
2
3
4
5
x
J
ʊJJŠŠÊÊ

JJB
D
y
J5

ʊy
5
5
4
4
3
3
2
2
1
1
JJ1
2
3
4
5
x
J
ʊJJŠŠÊÊ

JJMAT-103 Midterm Exam – Summer 2022
16) Let
be the transformation, vertical translation 5 units down, of
B
A
C
17) Solve the inequality
. Write the rule for
.
D
and graph the solution set.
A
C
p
Š
Š0
2
4
6
8
10
B
p
Š
Š0
2
4
6
8
10
p
Š
Š0
2
4
6
8
10
D
p
Š
Š0
2
4
6
8
10
18) Anchorage, Alaska and Augusta, Georgia have very different average temperatures. This is a table of the
average monthly temperature in each city. Make a scatter plot for the temperature data, identify the
correlation, and then sketch a line of best fit and find its equation.
Anchorage
Augusta
Jan
15
44
Feb
19
47
Average Temperatures (©
Mar Apr May Jun Jul Aug
26
26
47
54
58
56
56
63
71
78
81
80
Sep
48
75
Oct
35
64
Dec
16
47
C Negative correlation
A Positive correlation
Augusta
Augusta
72
72
60
60
48
48
36
36
24
6
Nov
21
55
36
48
Anchor.
24
36
48
Anchor.
MAT-103 Midterm Exam – Summer 2022
B Positive correlation
Augusta
Augusta
72
72
60
60
48
48
36
36
24
19) Translate1111111
D Negative correlation
36
48
Anchor.
24
so that the vertex is at (ì 2). Then graph.
A
C
y
p
Š
y
10
10
8
8
6
6
4
4
2
2
ŠŠ2
4
6
8
x
p
Š
ŠŠ

ŠŠ

p
p
B
2
4
6
8
x
2
4
6
8
x
D
y
p
7
Š
y
10
10
8
8
6
6
4
4
2
2
ŠŠ2
4
6
8
x
p
Š
ŠŠ

ŠŠ

p
p
36
48
Anchor.

Purchase answer to see full
attachment