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This exam covers
Chapter 0, Sections 1.1-1.5. 1.7-1.10, 10.6, Chapter 2, Sections 3.1- 3.2,
Chapter 5
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Please only use the Answer Sheet either to type your work or if
you prefer to write your work and scan it. Be sure to include your name in the
document.
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If you have any questions, please contact me by e-mail
(Jules.Kouatchou@faculty.umuc.edu) with MATH 012 in the subject heading.
Problem 1:
Compute. Write your answer using scientific notation. 1.3×104. 5.2×109
(A) 0.25×10−5 (B)
) 4.0×10−6 (C) 0.4×10−7 (D) 2.5×10−6
Problem 2:
Find the measures of the angles of a triangle if the measure of one angle is
twice the measure of a second angle, and the third angle measures three times
the second angle decreased by 12.
(A)
60, 30, 78 (B) 68, 34, 90 (C) 64, 32, 84 (D) 62, 31, 81 Problem 3: Find the equation of the line with
slope -6 and containing the point (0,-5).
(A) y = -6x+5 (B) y =
-6x-5
Problem 4: Simplify
the expression: (A) -11/14 (B) 11/14
(C) y = -5x+6 (D) y =
-5x - 6
𝟕+𝟒𝟐−𝟑𝟐÷𝟖∙𝟑 [𝟓+𝟐(𝟑𝟐−𝟓)]−|𝟐𝟑−𝟓|𝟑
(C) 13/12 (D) -13/12
Problem 5:
Jules is 10 years older than Juliane. In six years, the sum of their ages will
be 50. How old is Juliane now?
(A)
30 (B) 20 (C) 14 (D) 24
Problem 6: Evaluate
the expression 𝑝2 + (𝑞 − 𝑟)(7 − 𝑝) using p = -1, q = -2 and r = 5. (A) -43 (B) -55 (C) -41 (D) -57
Problem 7:
The amount of sales tax paid on a product is directly proportional to its
purchase price. The sale tax of a notebook that sells for $260 is $17.5. What
is the sales tax on a calculator that sells for $21?
(A) $2.1 (B) $1.51 (C) $1.81 (D) $1.41
3𝑥5𝑦−8𝑧−3 4 Problem 8: Simplify the expression. Use positive
exponent only: ( −1𝑧−2 )
81𝑦32𝑧4 3𝑥24 81𝑥24𝑧4 81𝑥24 (A) 𝑥24 (B) 𝑦32𝑧4 (C) 𝑦32 (D) 𝑦32𝑧4
Problem 9: Solve
the equation: 𝑥−5 + 1 = 2𝑥 − 𝑥−3. 228
(A) -11/19 (B) -19/11
(C) 11/19 (D) 19/11
Problem 10:
The stopping distance d of a car after the brakes have been applied varies
directly as the square of the speed r. If a car traveling 60mph can stop in
200ft, how fast can a car travel and still stop in 72ft?
(A) 32mph (B) 36mph (C) 28mph (D) 30mph
Problem 11:
Find the slope of the line perpendicular to: 2x -
6y = 5.
(A) 3 (B) -3 (C) -5/6 (D) 6/5
Problem 12: Solve
the equation: 2.4(2𝑥 + 3)
= −0.1(2𝑥 + 3).
(A) -2/3 (B) 3/2 (C) -3/2 (D) 2/3
Problem 13:
The zip codes of three locations are three consecutive even integers. If twice
the first integer is added to the third is 268,222, find the second zip code.
(A) 89408 (B) 89406 (D) 89410 (D) 89404
Problem 14:
Jules would like to take his family to Europe in in 3 years. The total cost of
the trip is $3600. If Jules invest $3000 in a saving account paying 5.6%
interest, compounded quarterly, will he have enough money in three years?
(A) Yes (B) No (C) Cannot tell
Problem 15:
Solve the inequality. Write your answer in interval notation. 0 < 7 − 2𝑥 ≤ 10.
(A) [-3/2, 7/2) (B)
(-7/2, 3/2] (C) (-7, 3] (D) [-3, 7)
Problem 16:
Multiply: (9𝑥 − 5𝑦)(9𝑥 + 5𝑦).
(A))9𝑥2 −5𝑦2 (B))81𝑥2 +45𝑥𝑦−25𝑦2 (C) 9𝑥2 + 45𝑥𝑦 − 5𝑦2 (D) 81𝑥2 − 25𝑦2
Problem 17:
Jules decides to invest $25,000 in an account paying an annual percentage rate
of 4.8%. Find the amount in the account after 5 years if the account is
compounded monthly.
(--A) $31,766 (B)
$26,200 (C) $31,736 (D) $31,691
Problem 18:
Write the slope-intercept equation of the line passing the point (0,-2) and
parallel to 3x – 2y = -4.
(A) y=3x-2 (B) y=-(3/2)x-2 (C) y=(3/2)x-2 (D) y=-3x--2
Problem 19:
Jules ordered an equipment in a store that is 90 miles away. He decides to go
pick it up. Find how long will it take Jules to drive round-trip if he averages
50mph. (A) 3.8 hours (B) 3.5 hours (C) 3.4 hours (D) 3.6 hours
Problem 20 :
Which of the following represents the graph of 5x + 3y = 15?
(A)
(B)
(C)
(D)
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