PASSAIC COUNTY COMMUNITY COLLEGE, SAMPLE MA004 FINAL EXAM FALL 2012

PASSAIC COUNTY COMMUNITY COLLEGE, SAMPLE MA004 FINAL EXAM
FALL 2012
Simplify the expression by combining like terms.
Simplify by writing the expression with positive
exponents. Assume that all variables represent
nonzero real numbers.
7 2 x4
5)
7 5 x2
1) 11r + 7(4 - 2r)
A) 3r - 28
B) 9r + 28
C) -3r + 28
D) 25r - 28
Give the ordered pairs for the points labeled on the
graph.
2)
A)
x2
73
B)
2
3
C)
73
x2
D)
7
x
Write the number in scientific notation.
6) 0.000859
A) 8.59 × 10-5
B) 8.59 × 104
C) 8.59 × 10-4
D) 8.59 × 10-3
Solve.
7) 32% of what number is 72?
A) A(-4, 0); B(-5, -3)
B) A(-4, 4); B(5, -3)
C) A(4, 0); B(5, -3)
D) A(-4, 0); B(5, -3)
Use the product rule, if possible, to simplify the
expression. Write the answer in exponential form.
3) s2 · s7 · s5
A) s14
B) s19
C) s12
D) s9
Use the power rules for exponents to simplify. Write
the answer in exponential form.
4) (53 )4
A) 512
B) 2512
C) 57
D) 257
1
A) 0.44
B) 2250
C) 44
D) 225
The circle graph shows the results of the student
council presidential election. The complete circular
area represents 100% of the votes.
8)
12) 2x + 23 = 6x + 3
Jim
20%
Ted
30%
B) 6x + 4
C) 10x
D) 6(4 + x)
14) 25 cents to 45 cents
13
A)
130
How many votes did Lili get?
D) 105
A) 4x + 6
Write the ratio as a fraction in lowest terms.
The circle graph shows what percent of the
vote each person received.
C) 90
D) 5
13) 4 more than 6 times a number
300 total votes
B) 60
13
2
13
2
Write the phrase as a variable expression. Use x to
represent "a number."
Ming
15%
A) 45
B) -
C)
Student Council President
Lili
35%
A) -5
C)
5
9
B)
70
130
D)
7
130
Find the unit rate.
Simplify.
15) 255 miles in 3 hours
9) (-6 + 42) ÷ 9 - 15
A) -11
B) 11
C) 19
D) -19
A) 765 miles
B) 85 miles/hour
C) 258 miles/hour
D) 85 miles
Evaluate the expression for the given replacement
values.
10) x2 - 3y
Solve using a proportion. Round your answer to the
nearest hundredth when necessary.
for x = 6 and y = -3
A) 45
B) 21
C) 27
D) 3
16) It takes Sarah 18 minutes to type and spell
check 14 pages of a manuscript. How long
does it take her to type and spell check 91
pages? Round answer to the nearest
whole number if necessary.
Solve the equation.
11) 13 = -9x - 5
A) 3
B) 27
C) 31
D) -2
2
A) 71 minutes
B) 117 minutes
C) 1638 minutes
D) 18 minutes
Write as a percent.
Solve the problem.
17) 0.2
A) 0.02%
B) 0.2%
C) 20%
D) 200%
22) Laura's five test grades in her MA004 class
were 85, 72, 90, 76, and 83. In MA004, the
lowest test grade is dropped. Find Laura's
test average for her four highest test
scores.
Find the closest estimate of the square root.
18)
A) 83.5
B) 61
C) 81.2
D) 66.8
500
A) 70
B) 30
C) 22
D) 35
Find the unknown number in the proportion. Round
answer to the nearest tenth when necessary.
x
7
=
23)
33 11
Solve the problem.
19) Your bank account has $56 in it when you
write checks for $49, $28, and $46. You
then deposit $25 and $51. How much is in
the account? Are you overdrawn?
A) $-103, yes
B) $55, no
C) $103, no
D) $9, no
A) 2.3
B) 21
C) 28
D) 51.9
Find the perimeter and area of the figure. (P = 2L +
2W, A = LW)
24) A rectangle 4 cm by 12 cm
A) P = 32 cm, A = 48 cm2
Simplify.
B) P = 16 cm, A = 96 cm2
2(2 + 5) + 2(7)
20)
2(8 - 1)
C) P = 16 cm, A = 48 cm2
A)
28
15
B) 2
C)
77
15
D)
D) P = 16 cm, A = 96 cm2
11
2
Solve.
25) Find the radius.
Solve the equation.
2
21) n = 4
9
38.8 mi
A) n =
8
9
B) n = 18
C) n =
9
8
D) n =
1
18
3
A) 1181.77 mi
B) 19.4 mi
C) 60.916 mi
D) 9.7 mi
Find the sum.
9
3
+
26) 20 4
A)
3
2
3
C)
10
Add.
29) Find the sum of -27 and 41.
B)
3
8
A) -14
B) 14
C) 68
D) -68
3
D)
40
Divide.
30) -7.2 ÷ 0.09
Write the percent as a fraction or mixed number in
simplest form.
27) 46%
A)
23
50
B) 4
C)
23
25
D)
3
5
A) -7.11
B) 71.1
C) 80
D) -80
Solve the problem.
23
100
31) During one week, Carlos worked 7 hours
on Monday, 6 hours on Tuesday, and 8
hours on Friday. There are 168 hours in a
week. What percent of the week did
Carlos spend working?
The bar graph shows the number of tickets sold each
week by the garden club for their annual flower show.
A) 14.7%
B) 35.3%
C) 12.5%
D) 8.0%
Find the missing angle measure.
32)
54°
63°
28) How many more tickets were sold during
week 4 than week 3?
A) 39 tickets
B) 29 tickets
C) 34 tickets
D) 89 tickets
4
x
A) 27°
B) 117°
C) 54°
D) 63°
The triangle shown is a right triangle. Find the length
of the unknown side.
33)
6 yd
8 yd
A) 10 yd
B) 14 yd
C) 28 yd
D) 100 yd
Find the area.
34) Find the area of a triangle with a base of 46
1
in and a height of 40 in. (A = bh)
2
A) 800 in.2
B) 900 in.2
C) 920 in.2
D) 1840 in.2
35) 52 - 23
A) 33
B) 18
C) 17
D) 4
5