MAT 037 – Midterm Review
Fall 2012
Directions: Complete each problem and select the correct answer.
NOTE: Not all topics for the midterm may be covered in this review. Please make sure to
complete the open-ended midterm review as well.
1) Solve the linear equation and match your result to the correct answer below.
A)
B)
C)
D)
2) Which of the following is the solution to the equation
A) 6
B) 7
C) 8
D) 9
3) Solve for
A)
B)
C)
D)
:
(
?
)
4) The expression
can be used to calculate the tax value in dollars of
a farm tractor that is years old. How old will the tractor be when its tax value
reaches zero?
A)
B)
C)
D)
5)
, find
given that
and
. Match your result to the correct
answer below.
A)
B)
C)
D)
1
MAT 037 – Midterm Review
Fall 2012
6) If the perimeter of a rectangle is
meters and the length is meters less than
times the width, then what are the dimensions of the rectangle?
A)
B)
C)
D)
7) Solve by using an inequality and match your result to the correct answer below.
Professor Zane counts her midterm exam as of the final grade and the final exam
as of the final grade. Doug must have a final average of
to receive a C or better
in the course. If Doug scored an
on the midterm exam, what range of scores on
the final exam will give Doug at least a C?
A)
B)
C)
D)
8) Solve the inequality. Write the solution in interval notation and graph it. Match
your answer to the correct answer below.
A)
)
(
(–2, 2) ;
-4
-3
-2
B)
(–2, ) ;
-1
0
1
2
3
4
-1
0
1
2
3
4
(
-4
-3
-2
C)
)
(–, –2) ;
-4
-3
D)
-2
-1
0
1
2
3
4
-1
0
1
2
3
4
]
(–, –2] ;
-4
-3
-2
2
MAT 037 – Midterm Review
Fall 2012
9) Solve the inequality. Write the solution in interval notation and graph it. Match
your answer to the correct answer below.
A)
]
(–, 8] ;
4
5
6
B)
7
8
9
-6
-5
10
11
12
-4
-3
-2
[
[–8, ) ;
-10
-9
-8
C)
-7
)
(–, –8) ;
-10
-9
D)
-8
-7
-6
-5
-4
-3
-2
-7
-6
-5
-4
-3
-2
]
(–, –8] ;
-10
-9
-8
10) Complete the ordered pairs (
) and (
), so that they satisfy the equation
. Match your result to the correct answer below.
)
(
)
A) (
(
)
B) ( )
(
)
C) ( )
)
D) (
(
)
11) The cost
in dollars to build a new home can be approximated using the equation
, where is the home’s floor area in square feet. Find the
approximate home size that can be constructed for
. Match your
result to the answer below.
A)
B)
C)
D) None of the above
12) Find the slope of the line that contains the points (
result to the correct answer below.
A)
) and (
). Match your
B)
C)
D) Undefined
3
MAT 037 – Midterm Review
Fall 2012
13) Determine the slope of the line graphed below. Match your result to the correct one
below.
A)
B)
C)
D)
14) Which equation correctly matches the graph of the line shown below?
A)
B)
C)
D)
4
MAT 037 – Midterm Review
Fall 2012
15) Write the equation
the correct answer below.
A)
(
) in slope-intercept form. Match your result to
B)
C)
D)
(
) in standard form using only integers and a
16) Write the equation
positive coefficient for . Match your result with the correct answer below.
A)
B)
C)
D)
17) Simplify:
(
)
A)
B)
C)
D)
18) Simplify:
A)
B)
C)
D)
19) Write in scientific notation:
A)
B)
C)
D)
5
MAT 037 – Midterm Review
Fall 2012
20) Simplify. Use only positive exponents: (
)
A)
B)
C)
D)
21) Simplify. Use only positive exponents. (
(
)
)
(
)
A)
B)
C)
D)
22) Find the product and match your result to the correct answer below.
(
)(
)
A)
B)
C)
D)
23) What is the slope of the line whose equation is
A)
?
B)
C)
D)
24) What is the equation of a line passing through the points (
A)
) and (
)?
B)
C)
D)
6
MAT 037 – Midterm Review
Fall 2012
25) Which of the following is the equation of a line with a slope of
through the point ( )?
A)
B)
C)
D)
26) What is the slope of a line passing through the points (
A)
) and (
and passing
)?
B)
C)
D)
27) A horizontal line has a slope of
A)
B)
C)
D)
28) What are the coordinates of the -intercept of the equation
A) ( )
)
B) (
(
)
C)
)
D) (
?
29) The slope of a vertical line is
A)
B)
C)
D)
30) Which is the equation of a line whose slope is undefined?
A)
B)
C)
D)
7
MAT 037 – Midterm Review
Fall 2012
31) Suppose the perimeter of a triangle is given by
, and two its sides
have lengths of
and
. Perimeter is the sum of all sides. What is the
length of the third side?
A)
B)
C)
D)
32) What is the equation of the line shown in the graph below?
A)
B)
C)
D)
8
MAT 037 – Midterm Review
Fall 2012
A)
B)
C)
D)
33) Which figure above is the correct graph of the linear equation
?
9
MAT 037 – Midterm Review
Fall 2012
A)
B)
C)
D)
34) Which figure above is the correct graph the linear equation
?
10
MAT 037 – Midterm Review
35) Find the - and -intercepts of the
choose the correct graph of the equation.
Fall 2012
and use these intercepts to
A)
B)
C)
D)
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MAT 037 – Midterm Review
Fall 2012
Answer Key
1) C
2) B
3) B
4) C
5) D
6) C
7) B
8) C
9) D
10) C
11) A
12) B
13) D
14) D
15) D
16) A
17) B
18) A
19) A
20) A
21) C
22) D
23) A
24) B
25) C
26) A
27) A
28) C
29) D
30) A
31) C
32) B
33) C
34) A
35) C
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