Then solve the equation and find the number.. Answer: B Solve the equation using the multiplication property of equality... Solve the equation using both the addition and multiplication
Trang 1Introductory Algebra for College Students 7th edition by Robert F Blitzer Test Bank
Link full download test bank: edition-by-blitzer-test-bank/
https://findtestbanks.com/download/introductory-algebra-for-college-students-7th-Link full download solution manual: students-7th-edition-by-blitzer-solution-manual/
https://findtestbanks.com/download/introductory-algebra-for-college-MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question
Determine whether the equation in one variable is linear
Trang 322) x - 3 = 3
16
4
A) - 3 B) 15 C) - 61 D) - 15 8
16
64 16
Answer: B
23) - 3 + z = 1
4 7
25 4 25 4
A) B) C) - D)
28 11 28 7
Answer: A
24) -8.9 + x = 14.2
A) {22.6} B) {4.8} C) {23.1} D) {5.3} Answer: C
25) -26.0 - z = 19.9
A) {45.9} B) {-6.1} C) {-45.9} D) {6.1} Answer: C
26) 15 + 4p = 5p
A) {-15} B) {4} C) {15} D) {6} Answer: C
27) 6y = 5y - 8.8
A) {8.8} B) {-19.8} C) {-8.8} D) {6} Answer: C
28) 17x - 3 = 6x + 85
A) {9} B) {11} C) {6} D) {8} Answer: D
29) 16x - 5 - 12x = 31
A) {7} B) {12} C) {9} D) {10} Answer: C
30) 3(y + 3) = 4(y - 3)
A) {3} B) {21} C) {-21} D) {-3} Answer: B
31) 5(2z - 3) = 9(z + 5)
A) {35} B) {60} C) {-30} D) {30} Answer: B
32) 10y = 5y + 5 + 4y
Answer: C
Trang 4Use the given information to write an equation Let x represent the number described in the exercise Then solve the
equation and find the number
36) The sum of a number and forty-four is fifty
Answer: C
42) The amount of water in a leaky bucket is given by the formula f = 128 - 9t, where f is in ounces and t is
in minutes Find the amount of water in the bucket after 8 minutes
Answer: A
Trang 543) The altitude above sea level of an airplane just after taking off from an airport on a high plateau is given by the formula h = 400t + 2869, where h is in feet and t is the time in minutes since take-off Find the altitude of the airplane after 4 minutes
Answer: B
Solve the equation using the multiplication property of equality
44) 1 a = 0
10
A) {0} B) {1} C) {-10} D) {10} Answer: A
45) n = 8
4
A) {11} B) {12} C) {2} D) {32} Answer: D
46) - n = -12
2
A) {24} B) {14} C) {-14} D) {-24} Answer: A
47) v = 5
-4
A) {-20} B) {20} C) {9} D) {-9} Answer: A
48) 4x = 36
1
A) {32} B)
C) {144} D) {9}
9 Answer: D
49) -19x = 0
A) {1} B) {19} C) {-19} D) {0} Answer: D
50) 3a = -21
A) {-24} B) {-7} C) {24} D) {1} Answer: B
51) -7x = -63
A) {-56} B) {9} C) {56} D) {2} Answer: B
52) - 72x = 16
2 - 2 9 D) - 9 A) B) C)
9 9
2 2
Answer: B
Trang 7Solve the equation using both the addition and multiplication properties of equality
62) 8r + 7 = 47
Answer: C
63) 8n - 9 = 39
A) {44} B) {40} C) {13} D) {6} Answer: D
64) 15 = -3x + 9
A) {13} B) {14} C) {-2} D) {9} Answer: C
65) 1 = -2x - 5
A) {8} B) {4} C) {-3} D) {12} Answer: C
66) -6x - 23 = -95
59
A) {-66} B) {12} C) {-12} D)
3 Answer: B
67) -31 = -4x + 1
A) {32} B) {28} C) {8} D) {-8} Answer: C
68) -7x = -75 + 8x
A) {-60} B) {-5} C) {6} D) {5} Answer: D
69) 10y - 9 = 7y
A)
9 B) 9 C) {3} D) {-3} -
17 17
Answer: C
70) -4y + 24 = -7y
24
24
- A) {8} B) {-8} C) D) Answer: B
11
11
71) 13x - 9 = 10x + 3
A) {5} B) {4} C) {7} D) {2} Answer: B
72) 2y + 7 = -5 - 4y
A) 1 B) - 1 C) - 2 D) - 1 2 2
Answer: C
Trang 873) 10x - 7 = 89 - 2x
41
4 Answer: C
Use the given information to write an equation Let x represent the number described in the exercise Then solve the
equation and find the number
75) The product of three-fourths and a number is six
Solve the problem
78) The time it takes to travel a given distance at constant speed is given by the formula t = dr , where t is the time, d
is the distance, and r is the rate of travel At 30 miles per hour, what distance can be traveled in 4 hours?
distance in meters How many meters (to the nearest tenth) is 10 feet?
Answer: B
Trang 981) Power is the time rate of doing work and is commonly measured in watts Power is given by the formula
P = Wt , where P is power, W is work (in joules), and t is time in seconds If 900 watts of power are used in 10
seconds, how much work (in joules) was done?
84) The weekly production cost C of manufacturing x calendars is given by C = 32 + 5x, where the variable C
is in dollars What is the cost of producing 266 calendars?
Trang 11102) 7 - 3(x + 5) = 9 - 5(x + 3)
A) {17} B) {1} C) {12} D) {7} Answer: B
103) 16 - (2y - 2) = 3(y - 2) + 3y
1
A) {3} B) 6 C) 2 D)
3
Answer: A
104) 3x + 5(-2x - 4) = -21 - 6x
41
A) {1} B) 41 C) {- 1} D)
13
Answer: A
105) f - 4 = 1
2
A) {-6} B) {-10} C) {6} D) {10} Answer: D
106) a - 1 = -2
2
2
A) {5} B) {3} C) {-5} D) {-3} Answer: D
107) 2x - x = 5
5 3
A) {-75} B) {150} C) {75} D) {-150} Answer: C
108) 1 x - 3 x = 4
4
8
A) {32} B) {-32} C) {-28} D) {28} Answer: B
109) 5 + 1 x = 1
6
7
24 7 - 14 - 7
A) - B) C) D)
7 6 3
6
Answer: B
110) x - x = 5
3
4
Answer: A
Trang 15Solve the problem
145) Forensic scientists use the lengths of certain bones to calculate the height of a person When the femur (the bone from the knee to the hip socket) is used, the following formula applies for men: h = 69.09 + 2.24f, where h is the
height and f is the length of the femur (both in centimeters) Find the height of a man with a femur
measuring 66 centimeters
Answer: C
Trang 16146) There is a formula that gives a correspondence between women's shoe sizes in the United States and those
in Italy The formula is S = 2(x + 12), where S is the size in Italy and x is the size in the United States What would be the US size for an Italian size of 38?
Answer: C
147) In one state, speeding fines are determined by the formula F = 8(x - 65) + 100, where F is the cost, in dollars, of the fine if a person is caught driving x miles per hour If the fine comes to $212, how fast was the person driving?
Trang 18Solve the problem
171) Jeans are on sale at the local department store for 30% off If the jeans originally cost $54, find the sale price (Round to the nearest cent, if necessary.)
Answer: B
172) Sales at a local ice cream shop went up 30% in 5 years If 43,000 ice cream cones were sold in the current year, find the number of ice cream cones sold 5 years ago (Round to the nearest integer, if necessary.)
Answer: D
173) Attendance this year at the homecoming football game is 133% of what it was last year If last year's homecoming football game attendance was 37,000, what is this year's attendance? (Round to the nearest integer, if necessary.)
Trang 19175) 10% of students at a university attended a lecture If 3000 students are enrolled at the university, about how many students attended the lecture?
Trang 20180) If State University has approximately 47,000 students, about how many would you expect to consume 5-6 pizzas in a typical month?
Answer: D
Solve the problem
181) Due to a lack of funding, the number of students enrolled at City College went from 9000 last year to 5000 this year Find the percent decrease in enrollment (Round to the nearest tenth of a percent, if necessary.)
Let x represent the number Write the English phrase as an algebraic expression
184) The product of 10 and a number, added to 16
Trang 21190) Four times a number decreased by one-half of the same number
Answer: A
Let x represent the number Use the given conditions to write an equation Solve the equation and find the number
191) Four times a number added to 9 times the number equals 65 Find the number
Solve the problem
196) The president of a certain university makes three times as much money as one of the department heads If the total of their salaries is $270,000, find each worker's salary
A) president's salary = $135,000; department head's salary = $67,500
B) president's salary = $20,250; department head's salary = $6750
C) president's salary = $202,500; department head's salary = $67,500
D) president's salary = $67,500; department head's salary = $202,500
Answer: C
197) 30 marbles are to be divided into three bags so that the second bag has three times as many marbles as the first bag and the third bag has twice as many as the first bag If x is the number of marbles in the first bag, find the number of marbles in each bag
A) 1st bag = 5 marbles; 2nd bag = 10 marbles; 3rd bag = 15 marbles
B) 1st bag = 6 marbles; 2nd bag = 18 marbles; 3rd bag = 12 marbles
C) 1st bag = 5 marbles; 2nd bag = 15 marbles; 3rd bag = 10 marbles
D) 1st bag = 6 marbles; 2nd bag = 14 marbles; 3rd bag = 10 marbles
Answer: C
Trang 22198) A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute for all calls If Joe's phone bill was $66 under this promotional deal, how many minutes of phone calls did he make? Round to the nearest integer, if necessary
Answer: B
199) Two angles are complementary if their sum is 90° If the measure of the first angle is x°, and the measure of the second angle is (3x - 2)°, find the measure of each angle
Answer: D
202) There are 14 more sophomores than juniors in an algebra class If there are 72 students in this class, find the number of sophomores and the number of juniors in the class
Answer: B
203) A car rental agency advertised renting a luxury, full-size car for $29.95 per day and $0.49 per mile If you rent
this car for 2 days, how many whole miles can you drive if you only have $200 to spend?
Answer: B
204) A 12-ft board is cut into 2 pieces so that one piece is 4 feet longer than 3 times the shorter piece If the shorter piece is x feet long, find the lengths of both pieces
Answer: B
Trang 23206)
4.5 yd
4.5 yd Find the perimeter of the figure
18 mi Find the area of the triangle
Answer: C
Trang 24210)
11 ft
11.5 ft
13 ft Find the area of the trapezoid
Answer: B
213) The length of a rectangle is 106 in and the width is 60 in Find its perimeter
Answer: D
214) The width of a room is 7 feet, and the area of the room is 98 square feet Find the room's length
Answer: D
Trang 25The drawing shows the end of a building that is to be bricked If the area of the side of a brick used is 18
sq ft, find the number of bricks needed to completely cover the side of the building
Answer: A
Trang 26Give the exact circumference
Answer: A
Trang 27225) Which one of the following is a better buy: a 14-inch pizza for $10 or two 6-inch pizzas for $9
Trang 28228) The rectangular part of the field shown below is 152 yd long and the diameter of each semicircle is 12 yd Find the cost of fertilizing the field at $0.50 per square yard Use π = 3.14 and round to the nearest cent
Trang 29234) A water reservoir is shaped like a rectangular solid with a base that is 6 meters by 2 meters, and a
vertical height of 9 meters How much water is in the reservoir if it is completely full?
Answer: C
235) Find the volume of an aluminum can that has a radius of 5 centimeters and a height of 13 centimeters Use
π = 3.14 and round to the nearest tenth
Use the relationship among the three angles of any triangle to solve the problem
237) Two angles of a triangle are 10° and 50° Find the third angle
Answer: B
Trang 30238) Two angles of a triangle are 39° and 91° Find the third angle
Find the measure of the indicated angle
242) Find the measure of the complement of 27°
Trang 31Graph the solution of the inequality on a number line
248) x > -3
-4 -3 -2 -1
Answer: D
249) x < 2
-4 -3 -2 -1
Answer: A
250) x ≥ -3
-4 -3 -2 -1
Trang 32C) -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
D) -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
Answer: D
31
Trang 33251) x ≤ 3
-5 -4 -3 -2 -1 0 1 2 3 4 5 6
Answer: C
252) 0 ≤ x ≤ 4
-5 -4 -3 -2 -1 0 1 2 3 4 5 6
Answer: D
253) 2 < x < 6
-5 -4 -3
Trang 341 2 3 4 5 6
Answer: B
32
Trang 36-14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 C) (-∞, -7]
-14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 D) (-∞, -7)
-14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0
Answer: C
Trang 37266) x - 2 ≥ 4
A) [6, ∞)
-1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 B) (-∞, 2)
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 C) (6, ∞)
-1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 D) (-∞, 6]
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 C) (-∞, 11)
4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 D) (-3, ∞)
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
Answer: B
Trang 3835
Trang 39-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 D) [-5, ∞)
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 Answer: B
Trang 40270) 5x - 6 ≥ 4x - 11
A) (-5, ∞)
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 B) [-5, ∞)
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 C) (-∞, -5]
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 D) (-17, ∞)
-24 -23 -22 -21 -20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 Answer: B
-15 -14 -13 -12 -11 -10 -9
Answer: C
Trang 42Use the multiplication property of inequality to solve the inequality and graph the solution set on a number line
-24 -23 -22 -21 -20 -19 -18 C) (-21, ∞)
-24 -23 -22 -21 -20 -19 -18 D) (-∞, -21)
-24 -23 -22 -21 -20 -19 -18
Answer: A
Trang 43-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 C) (-∞, - 3)
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 D) (-∞, 3]
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Answer: A