MATH 0373 Assessment Review
Name
_
Calculators are not allowed.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine whether the ordered pair is a solution of the system of equations.
3x+ y=-ll
1)(-4,1);
1) __
5x - 3y =-23
A) No
B) Yes
Find the slope of the line containing the given pair of points. If the slope is undefined, state so.
2) (4,5) and (9,3)
A) - ~
B) ~
5
C) Undefined
5
4' , 293)
B)
_i.3' (0, 29)
3
3
3
4'
, 29
D)
C) - -" (0 -)
i.3'
...
· . . . . . . . . ·10
. .
5
.
5
-10 •
·
. ·-5
·-5
. -·10
....
-·10
D)
C)
-10 •
.••
10
-10 ••• -5 .
x
·
1
_
4)
_
, 3
B)
10
3)
(0 29)
Graph the linear equation.
4) -5x - 15y = 5
A)
_
D) 0
Find the slope and the y-intercept of the line.
3) 4x + 3y =29
A) 3·(0
2)
. ..•
~10
5 •..•
10
x
Simplify, if possible.
5) 20m3p2
4m8p
5) __
B) 5m5
A) 5m5p2
D) 5mp
p
Divide and, if possible, simplify.
6)
x2 - 16
x2 + 12x + 36
A)
3x + 12
x2 + 4x - 12
x+6
(x - 4)(x - 2)
C) (x - 4)(x - 2)
B) (x + 4)(x + 2)
3(x - 6)
Perform the indicated operation.
7
6) __
x+6
D) (x - 4)(x - 2)
3(x + 6)
Simplify, if possible.
2
7)--+x+6 x
7)
A) 9x + 12
B) 7x + 12
8)
4x
x2 - 5x + 6
A)
C)
_
C) 9x + 12
x
x(x + 6)
(x + 6)
_
D) 9x + 12
x(x + 6)
16
8) __
x2 - 6x + 8
B)
x- 6
(x - 3)(x - 4)
4x -16
D)
(x - 2)(x - 3)(x - 4)
4(x - 6)
(x - 3)(x - 4)
4
(x - 2)(x - 3)
Solve.
9) Martha can rake the leaves in her yard in 4 hours. Her younger brother can do the job in 5
hours. How long will it take them to do the job if they work together?
A) 20 hr
9
B) 5 hr
C) ~ hr
W
Ii!-333hr
B) l.¢hr
C) 13-~hr
10)
_
11)
_
D) 3 hr
Solve the problem.
11) Tom Quig traveled 280 miles east of St. Louis. For most of the trip he averaged 60 mph, but for
one period of time he was slowed to 20 mph due to a major accident. If the total time of travel
was 6 hours, how many miles did he drive at the reduced speed?
A) 60 miles
B) 35 miles
C) 40 miles
D) 50 miles
Find the function value.
12) Find f(6) when f(x) = -2x + 3.
A) 5
B)3
12) __
C) -6
2
_
D) 20 hr
10) Amy can clean the house in 8 hours. When she works together with Tom, the job takes 5 hours.
How long would it take Tom, working by himself, to clean the house?
A)
9)
D) -9
x-5
13) Find f(-I) when f(x) = --.
7x + 4
A)-II6
13) __
8
B)--11
D)~
7
C)2
Solve the problem.
14) The function F described by F(C) = 2.c
5 + 32 gives the Fahrenheit temperature
to the Celsius temperature
A) 113°F
15)
900
C. Find the Fahrenheit temperature
B) 140°F
C)86 OF
corresponding
14) ---
equivalent to 15° C.
D) 59°F
y.
15)
200
600
400
500
300
700
800
1990 1991 1992 1993 1994 1995
x
Crafty Bill's Cool Car Sales opened as a used car sales lot in 1991. The graph shows the number
of cars sold as a function of time. What is the approximate number of cars sold in 1993?
~~
~~
C)~
~~
16) The cost for a furnace repairman to make a house call is $21 plus $35 per hour. Formulate a
model that can be used to determine the total cost, C(h), of a repair visit of h hours. Find the
total cost of a repair visit of 1.5 hours.
A) $73.50
B) $84.00
C) $56.00
D) $52.50
Solve algebraically.
17) 2x + 5 > 7
> I} or (1,
C) {xlx<l}or(-oc,l)
A) {x Ix
17) __
B) (6,
oc)
oc)
or {x Ix
> 6}
D) {xix >2} or (2,
For the given function, find the indicated
exist".
oc)
function value, if it exists. If the value does not exist, answer "Does not
18) For f(x) = .J4x - 14, find f(14).
A)~
C) 2-J4i
B)~
Simplify. Unless otherwise specified, assume that variables can represent
any number.
3
19) .J-64
A)8
16)
B)±4
C)-4
3
D) 16
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AnswerKey
Testname: 0373 ASSESS REVIEW F09
1) B .
2)A
3) B
4) B
5) C
6) D
7) D
8) B
9)A
10) A
11) C
12) D
13) C
14) D
15) B
16) A
17) A
18) A
19) C
4