McLoughlin
P-Final Math 80 Fall-13
Name:
1.) A TV is advertised as 12% off. If the original price is $850 what is the sale
price?
a.)$105.60
b.)$725
c.)$1200
d.)$748
e.) none of the above.
2.) Solve 5r + 7 = −(2r − 8) − 11.
a.)r = −7
10
b.)r = −3
4
c.)r = −10
7
d.) r = −26
3
e.) none of the above.
3.) One factor of 15x2 − 22x − 5 is:
a.)(5x-1)
b.)(5x+1)
c.)(3x+7)
d.)(3x+1)
e.) none of the above.
−8
4.)Solve 24x+9
2x−1 + 2x−1 = x + 6.
−1
a.)x = 2 and x = 7
b.)x = 12 and x = −7
c.)x = −1
2 and x = −7
d.)x = 21 and x = 7
e.) none of the above.
9
18
− x+1
= 1.
5.)Solve 2x−1
7
a.)x = 2 and x = −4
b.)x = −7
2 and x = −4
7
c.)x = 2 and x = 4
d.)x = −7
2 and x = 4
e.) none of the above.
6.) Find the slope of the line through (−2, 6) and (5, −1).
a.) −5
7
b.) −7
3
c.)2
d.)−1
e.) none of the above.
7.) A vehicle can travel 200 miles on one 7 gallons of fuel. How far can the
vehicle travel on 12 gallons of fuel.
miles
a.) 2400
7
b.) 2500
miles
7
c.)400 miles
d.) 3000
miles
7
e.) none of the above.
8.) Simplify expression by combining like terms (x + 2y)2 − x(x + 4y) + y 2 .
a.)x + 2y
b.)5x2
c.)5y 2
d.)x − y
e.) none of the above.
9.) Where is xx+6
2 −4 undefined.
a.)x = −6
b.)x = 2 and x = −2
c.)x = 2 and x = −6
d.)x = −2 and x = −6
e.) none of the above.
10.) A 500-mile trip in a small plane took a total of 4 hours. The first hour
was flown at one rate, and then the plane encountered a headwind and was slowed
down by 15 mph. Find the plane’s rate for the first hour.
a.) 501
7 mph
b.) 325
3 mph
455
c.) 3 mph
d.) 355
4 mph
e.) none of the above.
11.) Find the x- and y-intercepts of 2y − 3x + 4 = 0.
a.)(0, 2) and ( 43 , 0)
b.)(0, −2) and (− 43 , 0)
c.)(0, −2) and ( 43 , 0)
d.) (0, −1) and ( 34 , 0)
e.) none of the above.
12.) What percent of 15 is 12?
a.)80%
b.)65%
c.)75%
d.)120%
e.) none of the above.
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13.) Simplify expression (28 − 5(2)2 ) − 9 − 1.
a.)0
2
b.)−1
c.)−2
d.)−3
e.) none of the above.
14.) Find the quotient and remainder using long division
a.)3x2 − 4x + 10
b.)3x2 + 4x + 10
c.)3x2 − 4x − 10
d.)3x2 + 4x − 10
e.) none of the above.
3x4 −x3 +0x2 +x−1
.
x2 +x−2
15.) Factor 15x2 y − 55xy + 50y.
a.)5x(5x − 3)(x − 2)
b.)5y(5x + 3)(x − 2)
c.)5x(3x − 5)(x − 2)
d.)5y(3x − 5)(x − 2)
e.) none of the above.
16.) Perform the indicated operations and simplify,
a.) 3x−4
2x+1
2x+1
b.) 3x−4
2x+1
c.) 3x+4
3x+4
d.) 2x+1
e.) none of the above.
17.) Simplify
x+3
6x2 +7x−20
+
2x2 +6x+2
6x2 +7x−20 .
(2x2 y 5 )5
8x7 y 12 .
9
a.) 4y
x3
13
b.) 4yx3
13
y
c.) 4x
3
13
d.) 4yx2
e.) none of the above.
4
5
18.) Solve x−4
= x=4
.
1
a.) 36
1
b.)− 36
c.)36
d.)−36
e.) none of the above.
19.) If the hypotenuse and one leg of a right triangle are 12 and 5 respectively
then
√ find the length of the other leg.
a.) √109
b.)√ 139
c.) √21
d.) 210
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e.) none of the above.
20.)Find the equation of the line that passes through (−7, 5) and (0, 9).
a.)y = 5x
7 +9
b.)y = 4x
7 +9
c.)y = 4x
7 −9
5x
d.)y = 7 − 9
e.) none of the above.
21.) Change 71
66 to a decimal.
a.)1.075
b.)1.0075
c.)1.75
d.)10.75
e.) none of the above.
22.) Simplify the complex rational expression
x
4+ 1−x
x
−1+ x−1
.
1
3x+4
a.)
b.)3x + 4
c.)3x − 4
1
d.) 3x−4
e.) none of the above.
23.) Perform indicated operation and simplify
x+1
x−3
+
x+2
x−2
−
x2 +3
x2 −5x+6 .
x2 −x−7
x2 −5x+6
2
−x−9
b.) xx2 −5x+2
2
−x−9
c.) xx2 −5x+6
2
d.) xx2−2x−11
−5x+6
a.)
e.) none of the above.
24.) Perform the indicated operations and simplify
a.)− 23
b.) 32
c.)− 32
d.) 23
e.) none of the above.
25.) Perform the indicated operations and simplify
a.)1
b.)−2
c.)x + 1
d.)2x + 1
e.) none of the above.
26.) Simplify
a.)1
10x−14y
7y−5x .
4
4x2 +12x+9
8x+16
x3 +1
(x−1)
·
÷
(2x+3)2
12x+24 .
x2 −1
(x+1)2 (x2 −x+1) .
b.)−2
c.)1
d.)2
e.) none of the above.
27.) Factor x6 − 1.
a.)(x − 1)(x + 1)(x3 + x2 + 1)
b.)(x − 1)(x + 1)(x2 + x + 1)
c.)(x − 1)(x + 1)(x4 + x2 + 1)
d.)(x − 1)(x2 + 1)(x2 + x + 1)
e.) none of the above.
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