ALLIED MAT110 MODULE 2 CHECK YOUR UNDERSTANDINGS

Upon returning to the U.S. from Canada, Burgette exchanged
her remaining 150 Canadian Dollars for 134.53 U.S. Dollars. What exchange rate
did she receive? [Hint: Use the equation 150x = 134.53 to solve this problem.
Round to the nearest thousandth.]
a. 0.896 U.S.
Dollars for each Canadian Dollar
b. 0.897 U.S.
Dollars for each Canadian Dollar
c. 1.114 U.S.
Dollars for each Canadian Dollar
d. 1.115 U.S.
Dollars for each Canadian Dollar
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2. Is 13 a
solution to the equation 8 – x = 5?
a. Yes
b. No
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3. Solve. 4x
– 0.76 = 3(x – 0.03)
a. 0.81
b. 0.67
c. 0.46
d. 1.01
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4. The
length of one of the equal legs of an isosceles triangle is 8 cm less than 4
times the length of the base. If the perimeter is 29 cm, find the length of one
of the equal legs.
a. 4 cm
b. 5 cm
c. 11 cm
d. 12 cm
5. Solve for
x. 10 – 5x = 25
a. –3
b. 5
c. –15
d. –7
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6. Solve for
x. –3(x + 1) = 2(x – 8) + 3
a. –1
b. 1
c. 3
d. 2
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7. Solve. 3x
– 9 = 2x
a. 9
b. 10
c. –9
d. –10
.
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8. Is –7 a
solution to the equation 10 – 3x = 31?
a. Yes
b. No
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9. Translate
the following statement into an algebraic equation. Let x represent the number.
6 times a number is 14 more than that number.
a. 6x + 14 = x
b. 6 = 14x + x
c. 6x = x + 14
d. 6x = 14x
10. Solve for
x. –8x – 3 – 10x = –18x + 10
a. 0
b. 1
c. Identity
d. No solution
.
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11. A
rectangular solid has a base with length 3 cm and width 8 cm. If the volume of
the solid is 216 cm3, find the height of the solid. [Hint: The volume of a
rectangular solid is given by V = LWH.]
a. 8 cm
b. 9 cm
c. 10 cm
d. 11 cm
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12. An
arithmetic student needs an average of 70 or more to receive credit for the
course. She scored 79, 60, and 91 on the first three exams. Write a simplified
inequality representing the score she must get on the last test to receive
credit for the course.
a. x > 48
b. x > 50
c. x > 52
d. x > 55
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13. Solve the
literal equation for b. a = bc2
a. a
b.
c.
d. 2a – c2
.
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14. Solve for
x. – 2 = 8
a. –18
b. –20
c. 18
d. 20
.
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15. Ricardo is
4 years less than twice as old as his sister. The sum of their ages is 20. How
old is Ricardo?
a. 8
b. 10
c. 12
d. 14
0
16. Graph the
solution set of x < –2.
a.
b.
c.
d.
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17. Elaine was
charged $840 interest for 1 month on a $5600 credit card balance. What was the
monthly interest rate?
a. 15%
b. 14.5%
c. 16%
d. 15.5%
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18. Solve for
x. –2x = 6
a. –3
b. 3
c. –12
d. 12
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19. A necklace
was marked up $225 from cost, which amounts to a 50% increase. Find the
original cost of the necklace.
a. $465
b. $460
c. $455
d. $450

20. Solve for
x. x – 2 + 7x = 8x – 2
a. 0
b. 1
c. Identity
d. No solution