_1.) Thomas is 2 years more than twice the age of Peter, and the product of their ages is 24. Which of the following expressions represents Thomas' age? C. 2x2 + 2 _2.) Using the word problem given in number 1, how old is Thomas? C. 20 years old A. x + 2x B. 2x + 2 A. 8 years old B. 9 years old

Algebra for College Students
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ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CR: Review Problem Set
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_1.) Thomas is 2 years more than twice the age of Peter, and the product of
their ages is 24. Which of the following expressions represents Thomas' age?
В. 2х + 2
2.) Using the word problem given in number 1, how old is Thomas?
B. 9 years old
A. x+ 2x
C. 2x2 + 2
A. 8 years old
C. 20 years old
Items 3 - 6, refer to the problem inside the box.
The length of a wall is 3 meters more twice its width and its area is 14m².
_3.) Which of the following expressions represents the length of the wall?
B. 2x + 3
A. 3-x
С.х
4.) Which of the following represents the width of the wall?
В. 2х
A. x
С. 3—х
_5.) Which of the equations represents the given situation?
C. 2x + x = 14
A. x(2x + 3) = 14
B. x(3x + 2) = 14
_6.) What is the length of the wall?
A. 6 meters
B. 7 meters
C. 8 meters
_7.) A positive integer is 5 more than the second positive integer, and the
product of these two integers is 14. What is the second positive integer?
A. 2
В. 5
С. 7
8.) A motorcycle travels 2 kilometers per hour faster than a car. The motorcycle
traveled 480km in two hours less than the time it took the car to travel the
same distance. How fast does the motorcycle travel?
В. 60kph
C. 80kph
A. 44 kph
_9.) The sum of two positive integers is 120, and their product is 3500. What
are the integers?
A. -50 and 70
B. -50 and – 70
C. 50 and 70
10.) The sum of a number and its reciprocal is 2, what equation
represents the condition?
A. x += 2
В.х — х 3D 2
C. x+x = 2
11.) Using the situation in number 10, what is the number?
В. 2
А. З
С. 1
12.) The rent of a van to be used in going to one of the resorts in Cebu City is
P800.00, to be shared equally by a group of friends. At the last minute, the
group decided that they will pay for the share of their other two members,
resulting in a rise of their share for P200.00 each. How many went to the
outing?
A. 4
В. 5
С. 6
22 / 26
13.) Using the situation in number 12, how much is the equa.
people who paid for the rent?
A. P200.00
B. P400.00
C. P800.00
For items 14 – 15, refer to the problem inside the box.
The area of a triangular frame is 52 in?. If the height of the frame is three
inches less than twice the length of a base.
14.) What equation represents the problem?
A. 2x2 – 3x – 104 = 0
C. 2x? + 3x – 104 = 0
B. 2x2 – 3x + 104 = 0
15.) What is the measurement of the base of the triangular frame?
B. 13 inches
C. 21 inches
A. 8 inches
Transcribed Image Text:_1.) Thomas is 2 years more than twice the age of Peter, and the product of their ages is 24. Which of the following expressions represents Thomas' age? В. 2х + 2 2.) Using the word problem given in number 1, how old is Thomas? B. 9 years old A. x+ 2x C. 2x2 + 2 A. 8 years old C. 20 years old Items 3 - 6, refer to the problem inside the box. The length of a wall is 3 meters more twice its width and its area is 14m². _3.) Which of the following expressions represents the length of the wall? B. 2x + 3 A. 3-x С.х 4.) Which of the following represents the width of the wall? В. 2х A. x С. 3—х _5.) Which of the equations represents the given situation? C. 2x + x = 14 A. x(2x + 3) = 14 B. x(3x + 2) = 14 _6.) What is the length of the wall? A. 6 meters B. 7 meters C. 8 meters _7.) A positive integer is 5 more than the second positive integer, and the product of these two integers is 14. What is the second positive integer? A. 2 В. 5 С. 7 8.) A motorcycle travels 2 kilometers per hour faster than a car. The motorcycle traveled 480km in two hours less than the time it took the car to travel the same distance. How fast does the motorcycle travel? В. 60kph C. 80kph A. 44 kph _9.) The sum of two positive integers is 120, and their product is 3500. What are the integers? A. -50 and 70 B. -50 and – 70 C. 50 and 70 10.) The sum of a number and its reciprocal is 2, what equation represents the condition? A. x += 2 В.х — х 3D 2 C. x+x = 2 11.) Using the situation in number 10, what is the number? В. 2 А. З С. 1 12.) The rent of a van to be used in going to one of the resorts in Cebu City is P800.00, to be shared equally by a group of friends. At the last minute, the group decided that they will pay for the share of their other two members, resulting in a rise of their share for P200.00 each. How many went to the outing? A. 4 В. 5 С. 6 22 / 26 13.) Using the situation in number 12, how much is the equa. people who paid for the rent? A. P200.00 B. P400.00 C. P800.00 For items 14 – 15, refer to the problem inside the box. The area of a triangular frame is 52 in?. If the height of the frame is three inches less than twice the length of a base. 14.) What equation represents the problem? A. 2x2 – 3x – 104 = 0 C. 2x? + 3x – 104 = 0 B. 2x2 – 3x + 104 = 0 15.) What is the measurement of the base of the triangular frame? B. 13 inches C. 21 inches A. 8 inches
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