Ashworth College Algebra Inequality and Real Numbers Question

Question 1 (5 points)Solve.
2
– r = -6 + 3(2 + 3r)
Question 1 options:
No solution
-3
6
All real numbers
Question 2 (5 points)
Solve the problem.
During one year, the Larson’s real estate bill included $458 for local
schools. Of this amount, $225 went to the high school district. What
percent did the Larsons pay to the high school district? (Round answer
to two decimal places.)
Question 2 options:
49.13%
22.50%
48.91%
50.87%
Question 3 (5 points)
Factor.
5×8 – 45×7 – 90×6
Question 3 options:
5×6(x2 – 5x – 18)
5×6(x – 6)(x – 3)
5×5(x2 – 5x – 18)
5×6(x – 6)(x + 3)
Question 4 (5 points)
Solve.
You are traveling to your aunt’s house that is 183 miles away. If you are
currently twice as far from home as you are from your aunt’s, how far
have you traveled?
Question 4 options:
91.5 mi
61 mi
30.5 mi
122 mi
Question 5 (5 points)
Solve the equation using the addition principle.
s-4=9
Question 5 options:
5
13
-13
-5
Question 6 (5 points)
Solve the problem. Round to the nearest hundredth, if necessary.
50% of what number is 80?
Question 6 options:
16
1600
40
160
Question 7 (5 points)
Solve the problem.
The equation y = 0.004x + 0.10 can be used to determine the
approximate profit, y in dollars, of producing x items. How many items
must be produced so the profit will be at least $1211?
Question 7 options:
x ≥ 302,725
0 < x ≤ 302,724 x ≥ 302,775 x ≤ 302,725 Question 8 (5 points) Solve using the multiplication principle. > -2x
Question 8 options:
Question 9 (5 points)
Solve the problem.
DG’s Plumbing and Heating charges $50 plus $75 per hour for
emergency service. Bill remembers being billed just over $300 for an
emergency call. How long to the nearest hour was the plumber at Bill’s
house?
Question 9 options:
16 hours
5 hours
14 hours
3 hours
Question 10 (5 points)
Translate the sentence to an inequality.
John weighs at least 59 pounds.
Question 10 options:
x ≥ 59
x < 59 x ≤ 59 x > 59
Question 11 (5 points)
Factor completely.
12×3 – 9x2y – 8xy + 6y2
Question 11 options:
(3×2 – 2)(4x – 3)
(12×2 – 2y)(x – 3y)
(3×2 – 2y)(4x – 3y)
(3×2 + 2y)(4x – 3y)
Question 12 (5 points)
Solve the problem.
One side of a rectangle is 11 inches and the other side is x inches. Find
the value of x if the area must be at least 55 square inches.
Question 12 options:
0 378.05
x < 378.05 x ≤ 378.05 x ≥ 378.05 Question 14 (5 points) Solve. Use the following graph to solve x2 - 2x - 15 = 0. y = x2 - 2x - 15 Question 14 options: -5, -3 3, 5 -5, 3 -3, 5 Question 15 (5 points) Solve the equation using the addition principle. s+ = Question 15 options: 2 Question 16 (5 points) Solve. 3r + 8 = 29 Question 16 options: 18 1 22 7 Question 17 (5 points) Solve the problem. Jennifer's annual salary increased from $24,000 to $46,000 over the last five years. Find the percent increase in her salary during this time period. Round to the nearest tenth of a percent. Question 17 options: 0.9% 9.2% 91.7% 47.8% Question 18 (5 points) Solve the problem. Jim has gotten scores of 92 and 72 on his first two tests. What score must he get on his third test to keep an average of 85 or greater? Question 18 options: At least 82 At least 91 At least 83.0 At least 90 Question 19 (5 points) Factor completely. 36y4 - 49 Question 19 options: Prime (6y2 + 7)2 (6y2 + 7)(6y2 - 7) (6y2 - 7)2 Question 20 (5 points) Solve the problem. Jon has 786 points in his math class. He must have 73% of the 1300 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class? Question 20 options: 163 points 949 points 574 points 514 points