Math Test Review
The 'Math Test Review' assesses understanding of algebraic inequalities. It covers solution description, inequality representation, and solving linear inequalities, enhancing skills in mathematical reasoning and problem-solving relevant for educational advancement.
- 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 2Explanation
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.Rate this question:
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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 ≤ 160Explanation
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.Rate this question:
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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 ≥ 450Explanation
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.Rate this question:
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- 6.
Solve -28 < 4y
- A.
Y < -7
- B.
Y > -7
- C.
Y < 7
- D.
Y > 7
Correct Answer
B. Y > -7Explanation
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.Rate this question:
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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 ≤ 20Explanation
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.Rate this question:
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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 > -2Explanation
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.Rate this question:
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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 > 350,000Explanation
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.Rate this question:
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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 weeksExplanation
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.Rate this question:
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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 < 10Explanation
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.Rate this question:
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- 16.
Which graph represents the solutions of 1 + r > 3 OR r + 5 < 2?
- A.
![Math Test Review - Quiz]()
- B.
![Math Test Review - Quiz]()
- C.
![Math Test Review - Quiz]()
- D.
![Math Test Review - Quiz]()
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 < 3Explanation
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.Rate this question:
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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.
![Math Test Review - Quiz]()
- B.
![Math Test Review - Quiz]()
- C.
![Math Test Review - Quiz]()
- D.
![Math Test Review - Quiz]()
Correct Answer
C. -
- 21.
Which graph represents
- A.
![Math Test Review - Quiz]()
- B.
![Math Test Review - Quiz]()
- C.
![Math Test Review - Quiz]()
- D.
![Math Test Review - Quiz]()
Correct Answer
B. -
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Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
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Current Version
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Mar 22, 2023Quiz Edited by
ProProfs Editorial Team -
Oct 17, 2012Quiz Created by
Mrsmosher
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