Describe the solutions of in words

all real numbers greater than or equal to 2

all real numbers greater than 4

all real numbers less than or equal to 4

Math Test Review

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| By Mrsmosher

Mrsmosher

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Quizzes Created: 16 | Total Attempts: 19,366

Questions: 21 | Attempts: 210 | Updated: Mar 22, 2023

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Math Test Review - Quiz

Questions and Answers

1.

Describe the solutions of in words
- A.
  
  All real numbers greater than 4
- B.
  
  All real numbers greater than or equal to 2
- C.
  
  All real numbers less than 2
- D.
  
  All real numbers less than or equal to 4
Correct Answer
B. All real numbers greater than or equal to 2

Explanation
The given answer states that the solutions are "all real numbers greater than or equal to 2." This means that any real number that is equal to or greater than 2 would be a solution to the equation. So, the set of solutions includes numbers like 2, 3, 4, 5, 6, and so on. Any number that is less than 2 would not be a solution to the equation.

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2.

Which inequality represents the situation “no more than 160 students are in the freshmen class”?
- A.
  
  S > 160
- B.
  
  S ≥ 160
- C.
  
  S < 160
- D.
  
  S ≤ 160
Correct Answer
D. S ≤ 160

Explanation
The inequality s ≤ 160 represents the situation "no more than 160 students are in the freshmen class". This means that the number of students in the freshmen class (s) is less than or equal to 160.

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3.
- A.
  
  X > -5
- B.
  
  X < -5
- C.
  
  X > 5
- D.
  
  X < 5
Correct Answer
A. X > -5
4.
- A.
  
  M ≤ -2.5
- B.
  
  M ≥ -2.5
- C.
  
  M ≤ 5.5
- D.
  
  M ≥ 5.5
Correct Answer
C. M ≤ 5.5
5.

Mike is on a cross-country trip and wants to drive at least 450 miles per day. So far today, he has driven 175 miles. Which inequality can be solved to show the number of miles m that Mike must drive to meet his daily goal?
- A.
  
  175 + m < 450
- B.
  
  175 + m ≤ 450
- C.
  
  175 + m > 450
- D.
  
  175 + m ≥ 450
Correct Answer
D. 175 + m ≥ 450

Explanation
To find the number of miles Mike must drive to meet his daily goal, we need to set up an inequality. Since Mike wants to drive at least 450 miles per day, we use the greater than or equal to symbol. Adding the miles he has already driven today (175) to the number of miles he still needs to drive (m), we get the inequality 175 + m ≥ 450.

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6.

Solve -28 < 4y
- A.
  
  Y < -7
- B.
  
  Y > -7
- C.
  
  Y < 7
- D.
  
  Y > 7
Correct Answer
B. Y > -7

Explanation
The given inequality is -28 < 4y. To solve this inequality, we divide both sides by 4, which gives us -7 < y. Rearranging the inequality, we get y > -7. Therefore, the correct answer is y > -7.

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7.
- A.
  
  D ≥ 4
- B.
  
  D ≤ 4
- C.
  
  D ≥ 16
- D.
  
  D ≤ 16
Correct Answer
C. D ≥ 16
8.

Cookies are sold in the lunchroom for $1.50. Ana wants to buy cookies for a group of her friends. If she has $20, which inequality can be solved to show the number of cookies c she can buy?
- A.
  
  1.50c < 20
- B.
  
  1.50c ≤ 20
- C.
  
  1.50c > 20
- D.
  
  1.50c ≥ 20
Correct Answer
B. 1.50c ≤ 20

Explanation
The inequality 1.50c ≤ 20 can be solved to show the number of cookies c that Ana can buy. This inequality states that the cost of the cookies, which is $1.50 multiplied by the number of cookies c, is less than or equal to $20. By solving this inequality, Ana can determine the maximum number of cookies she can buy with her $20.

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9.

Solve -4 (x - 1) < 12.
- A.
  
  X > -2
- B.
  
  X < -2
- C.
  
  X > -3
- D.
  
  X > -3
Correct Answer
A. X > -2

Explanation
The correct answer is x > -2. By solving the inequality, we can see that when we distribute -4 to (x - 1) and simplify the expression, we get -4x + 4 < 12. By subtracting 4 from both sides of the inequality, we get -4x < 8. Then, by dividing both sides of the inequality by -4, we get x > -2. Therefore, the answer is x > -2.

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10.
- A.
  
  A < -6
- B.
  
  A > -6
- C.
  
  A < -4
- D.
  
  A > -4
Correct Answer
C. A < -4
11.

John is considering accepting one of two sales positions. ABC Company offers a yearly salary of $45,000. XYZ Company offers a yearly salary of $38,000 plus a 2% annual commission on sales. For what amount of sales s is the salary at XYZ Company greater than the salary at ABC Company?
- A.
  
  S > 7000
- B.
  
  S > 35,000
- C.
  
  S > 70,000
- D.
  
  S > 350,000
Correct Answer
D. S > 350,000

Explanation
In order for the salary at XYZ Company to be greater than the salary at ABC Company, the commission earned from sales at XYZ Company must exceed the difference in salaries between the two companies. The difference in salaries is $45,000 - $38,000 = $7,000. To find the amount of sales needed for the commission to exceed $7,000, we divide $7,000 by 2% (0.02) to get $350,000. Therefore, for the salary at XYZ Company to be greater, the amount of sales (s) must be greater than $350,000.

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12.
- A.
  
  H ≤ 1
- B.
  
  H ≤ 2
- C.
  
  No solutions
- D.
  
  All real numbers
Correct Answer
D. All real numbers
13.
- A.
  
  S ≥ 4
- B.
  
  S ≥ 8
- C.
  
  S ≥ 12
- D.
  
  S ≥ 16
Correct Answer
D. S ≥ 16
14.

Jasmine and her sister are saving to buy MP3 players. Jasmine has $50 and plans to save $10 per week. Her sister has $80 and plans to save $7 per week. In how many weeks will Jasmine have more money saved than her sister?
- A.
  
  2 weeks
- B.
  
  4 weeks
- C.
  
  10 weeks
- D.
  
  11 weeks
Correct Answer
D. 11 weeks

Explanation
In 2 weeks, Jasmine will have saved $50 + ($10 * 2) = $70. Her sister will have saved $80 + ($7 * 2) = $94. In 4 weeks, Jasmine will have saved $50 + ($10 * 4) = $90. Her sister will have saved $80 + ($7 * 4) = $108. In 10 weeks, Jasmine will have saved $50 + ($10 * 10) = $150. Her sister will have saved $80 + ($7 * 10) = $150. In 11 weeks, Jasmine will have saved $50 + ($10 * 11) = $160. Her sister will have saved $80 + ($7 * 11) = $167. Therefore, in 11 weeks, Jasmine will have more money saved than her sister.

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15.

Solve the compound inequality
- A.
  
  -5 ≤ m < 10
- B.
  
  -2 ≤ m < 13
- C.
  
  1 ≤ m < 16
- D.
  
  6 ≤ m < 39
Correct Answer
A. -5 ≤ m < 10

Explanation
The correct answer is -5 ≤ m < 10 because it is the only compound inequality that satisfies all the given inequalities. It includes the range of values from -5 to 10, which is common to all the inequalities. The other compound inequalities either include values outside of this range or do not include the entire range.

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16.

Which graph represents the solutions of 1 + r > 3 OR r + 5 < 2?
- A.
- B.
- C.
- D.
Correct Answer
B.
17.

Which compound inequality is shown by the graph below?
- A.
  
  X ≥ -3 AND x > 3
- B.
  
  X ≥ -3 AND x < 3
- C.
  
  X ≥ -3 OR x > 3
- D.
  
  X ≥ -3 OR x < 3
Correct Answer
B. X ≥ -3 AND x < 3

Explanation
The correct answer is x ≥ -3 AND x < 3 because the graph shows a shaded region that includes all values of x greater than or equal to -3 and less than 3. This represents the intersection of two conditions, where x must satisfy both inequalities simultaneously.

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18.
- A.
  
  P ≥ 7
- B.
  
  5 < p - 2
- C.
  
  5 > p - 2
- D.
  
  P ≤ 7
Correct Answer
C. 5 > p - 2
19.
- A.
  
  X > -3
- B.
  
  X ≥ -3
- C.
  
  X < -3
- D.
  
  X ≤ -3
Correct Answer
A. X > -3
20.

Which graph represents
- A.
- B.
- C.
- D.
Correct Answer
C.
21.

Which graph represents
- A.
- B.
- C.
- D.
Correct Answer
B.

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Current Version
Mar 22, 2023

Quiz Edited by
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Oct 17, 2012

Quiz Created by
Mrsmosher

Math Test Review

Describe the solutions of in words

Which inequality represents the situation “no more than 160 students are in the freshmen class”?

Mike is on a cross-country trip and wants to drive at least 450 miles per day. So far today, he has driven 175 miles. Which inequality can be solved to show the number of miles m that Mike must drive to meet his daily goal?

Solve -28 < 4y

Cookies are sold in the lunchroom for $1.50. Ana wants to buy cookies for a group of her friends. If she has $20, which inequality can be solved to show the number of cookies c she can buy?

Solve -4 (x - 1) < 12.

John is considering accepting one of two sales positions. ABC Company offers a yearly salary of $45,000. XYZ Company offers a yearly salary of $38,000 plus a 2% annual commission on sales. For what amount of sales s is the salary at XYZ Company greater than the salary at ABC Company?

Jasmine and her sister are saving to buy MP3 players. Jasmine has $50 and plans to save $10 per week. Her sister has $80 and plans to save $7 per week. In how many weeks will Jasmine have more money saved than her sister?

Solve the compound inequality

Which graph represents the solutions of 1 + r > 3 OR r + 5 < 2?

Which compound inequality is shown by the graph below?

Which graph represents

Which graph represents

Math Test Review

Describe the solutions of in words

Which inequality represents the situation “no more than 160 students are in the freshmen class”?

Mike is on a cross-country trip and wants to drive at least 450 miles per day. So far today, he has driven 175 miles. Which inequality can be solved to show the number of miles m that Mike must drive to meet his daily goal?

Solve -28 < 4y

Cookies are sold in the lunchroom for $1.50. Ana wants to buy cookies for a group of her friends. If she has $20, which inequality can be solved to show the number of cookies c she can buy?

Solve -4 (x - 1) < 12.

John is considering accepting one of two sales positions. ABC Company offers a yearly salary of $45,000. XYZ Company offers a yearly salary of $38,000 plus a 2% annual commission on sales. For what amount of sales s is the salary at XYZ Company greater than the salary at ABC Company?

Jasmine and her sister are saving to buy MP3 players. Jasmine has $50 and plans to save $10 per week. Her sister has $80 and plans to save $7 per week. In how many weeks will Jasmine have more money saved than her sister?

Solve the compound inequality

Which graph represents the solutions of 1 + r > 3 OR r + 5 < 2?

Which compound inequality is shown by the graph below?

Which graph represents

Which graph represents

Solve -4 (x - 1) < 12.

Which graph represents the solutions of 1 + r > 3 OR r + 5 < 2?