Math Test Review

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| By Mrsmosher
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Mrsmosher
Community Contributor
Quizzes Created: 16 | Total Attempts: 21,766
| Attempts: 211
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  • 1/21 Questions
    Which graph represents  - ProProfs

    Which graph represents 

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Math Test Review - Quiz
About This Quiz

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.

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  • 2. 
    - ProProfs

    • X > -3

    • X ≥ -3

    • X < -3

    • X ≤ -3

    Correct Answer
    A. X > -3
  • 3. 
    Describe the solutions of  in words - ProProfs

    Describe the solutions of  in words

    • All real numbers greater than 4

    • All real numbers greater than or equal to 2

    • All real numbers less than 2

    • All real numbers less than or equal to 4

    Correct Answer
    A. 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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  • 4. 

    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?

    • 1.50c < 20

    • 1.50c ≤ 20

    • 1.50c > 20

    • 1.50c ≥ 20

    Correct Answer
    A. 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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  • 5. 
    - ProProfs

    • D ≥ 4

    • D ≤ 4

    • D ≥ 16

    • D ≤ 16

    Correct Answer
    A. D ≥ 16
  • 6. 

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

    • S > 160

    • S ≥ 160

    • S < 160

    • S ≤ 160

    Correct Answer
    A. 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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  • 7. 

    Solve -28 < 4y

    • Y < -7

    • Y > -7

    • Y < 7

    • Y > 7

    Correct Answer
    A. 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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  • 8. 
    Which compound inequality is shown by the graph below? - ProProfs

    Which compound inequality is shown by the graph below?

    • X ≥ -3 AND x > 3

    • X ≥ -3 AND x < 3

    • X ≥ -3 OR x > 3

    • X ≥ -3 OR x < 3

    Correct Answer
    A. 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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  • 9. 
    Which graph represents - ProProfs

    Which graph represents

    Correct Answer
    A.
  • 10. 
    Solve the compound inequality  - ProProfs

    Solve the compound inequality 

    • -5 ≤ m < 10

    • -2 ≤ m < 13

    • 1 ≤ m < 16

    • 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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  • 11. 
    - ProProfs

    • M ≤ -2.5

    • M ≥ -2.5

    • M ≤ 5.5

    • M ≥ 5.5

    Correct Answer
    A. M ≤ 5.5
  • 12. 

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

    Correct Answer
    A.
  • 13. 
    - ProProfs

    • H ≤ 1

    • H ≤ 2

    • No solutions

    • All real numbers

    Correct Answer
    A. All real numbers
  • 14. 
    - ProProfs

    • P ≥ 7

    • 5 < p - 2

    • 5 > p - 2

    • P ≤ 7

    Correct Answer
    A. 5 > p - 2
  • 15. 
    - ProProfs

    • S ≥ 4

    • S ≥ 8

    • S ≥ 12

    • S ≥ 16

    Correct Answer
    A. S ≥ 16
  • 16. 

    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?

    • 2 weeks

    • 4 weeks

    • 10 weeks

    • 11 weeks

    Correct Answer
    A. 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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  • 17. 

    Solve -4 (x - 1) < 12.

    • X > -2

    • X < -2

    • X > -3

    • 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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  • 18. 

    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?

    • 175 + m < 450

    • 175 + m ≤ 450

    • 175 + m > 450

    • 175 + m ≥ 450

    Correct Answer
    A. 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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  • 19. 
    - ProProfs

    • A < -6

    • A > -6

    • A < -4

    • A > -4

    Correct Answer
    A. A < -4
  • 20. 

    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?

    • S > 7000

    • S > 35,000

    • S > 70,000

    • S > 350,000

    Correct Answer
    A. 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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  • 21. 
    - ProProfs

    • X > -5

    • X < -5

    • X > 5

    • X < 5

    Correct Answer
    A. X > -5

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  • Current Version
  • Mar 22, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Oct 17, 2012
    Quiz Created by
    Mrsmosher
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