I.E.D. Warm-up Quiz #4

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| By Christopher Mack
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  • 1/15 Questions

    A bag contains 5 blue marbles, 10 purple marbles, 7 white marbles, and 18 red marbles. What is the probability of randomly selecting a marble that is not red?

    • 11/20
    • 18/40
    • 25/40
    • 1/10
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I.E.D. Warm-up Quiz #4 - Quiz
About This Quiz

I. E. D. Warm-up Quiz #4 assesses mathematical skills focusing on probability, statistics, and algebra. It provides practical problems such as calculating odds, solving equations, and determining gas usage, enhancing problem-solving and analytical skills.

Quiz Preview

  • 2. 

    Evalute 2(a + b) - 3c if a = 3, b = 7, and c = 8

    • -4

    • 44

    • 12

    • -20

    Correct Answer
    A. -4
    Explanation
    By substituting the given values into the expression, we can evaluate 2(a + b) - 3c as 2(3 + 7) - 3(8). Simplifying further, we get 2(10) - 24, which equals 20 - 24. Finally, subtracting 24 from 20 gives us -4 as the result.

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  • 3. 

    Find the odds of rolling a number less than or equal to three on a number cube.

    • 1/2

    • 1/1

    • 1/3

    • 5/6

    Correct Answer
    A. 1/2
    Explanation
    The odds of rolling a number less than or equal to three on a number cube can be found by determining the number of favorable outcomes (rolling a 1, 2, or 3) and dividing it by the total number of possible outcomes (rolling any number from 1 to 6). In this case, there are three favorable outcomes (1, 2, and 3) and six possible outcomes (1, 2, 3, 4, 5, and 6). Therefore, the odds of rolling a number less than or equal to three is 3/6, which simplifies to 1/2.

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  • 4. 

    What is the value of     3 (z  -  7) + 12  if  z = -4 ?

    • 0

    • -10

    • -18

    • -21

    Correct Answer
    A. -21
    Explanation
    To find the value of the expression, we substitute the given value of z, which is -4, into the expression. Thus, we have 3(-4 - 7) + 12. Simplifying the expression inside the parentheses, we get 3(-11) + 12. Multiplying -11 by 3 gives us -33, so the expression becomes -33 + 12. Finally, adding -33 and 12 gives us -21. Therefore, the value of the expression is -21.

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  • 5. 

    What is the value of     3 (z  -  7) + 12  if  z = -3 ?

    • 0

    • -10

    • -18

    • 42

    Correct Answer
    A. -18
    Explanation
    To find the value of the expression, we substitute the given value of z into the expression. So, when z = -3, we have 3(-3 - 7) + 12. Simplifying this expression, we get 3(-10) + 12, which further simplifies to -30 + 12. Finally, combining like terms, we get -18 as the result.

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  • 6. 

    Solve the equation:   (4a-4) / 6 = 6

    • 8

    • 6

    • 10

    • 4

    Correct Answer
    A. 10
    Explanation
    To solve the equation, we need to isolate the variable "a". First, we can multiply both sides of the equation by 6 to eliminate the fraction. This gives us 4a-4 = 36. Then, we can add 4 to both sides to get 4a = 40. Finally, we divide both sides by 4 to solve for "a", which gives us a = 10.

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  • 7. 

    Solve the following:      (3n + 4) / 2 = 11

    • N = 6

    • N = 26/3

    • N = 3/26

    • N = 3

    Correct Answer
    A. N = 6
    Explanation
    To solve the equation (3n + 4) / 2 = 11, we need to isolate the variable n. First, we can multiply both sides of the equation by 2 to eliminate the fraction. This gives us 3n + 4 = 22. Then, we can subtract 4 from both sides to isolate the term with n. This gives us 3n = 18. Finally, we can divide both sides by 3 to solve for n, which gives us n = 6. Therefore, the correct answer is n = 6.

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  • 8. 

    Solve the following proportion:      w / 30 = 6 / 20

    • W = 10

    • W = 15

    • W = 9

    • W = 5

    Correct Answer
    A. W = 9
    Explanation
    The given proportion states that the ratio of w to 30 is equal to the ratio of 6 to 20. To solve this proportion, we can cross-multiply. Multiplying 6 by 30 and 20 by w gives us 180 = 20w. Dividing both sides by 20, we find that w = 9.

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  • 9. 

    If you have a standard 52-card deck of playing cards, what is the probability of drawing the king of hearts?

    • 1/4

    • 1/13

    • 1/26

    • 1/52

    Correct Answer
    A. 1/52
    Explanation
    The probability of drawing the king of hearts from a standard 52-card deck is 1/52 because there is only one king of hearts in the deck and a total of 52 cards. Therefore, the chance of selecting the king of hearts is 1 out of 52.

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  • 10. 

    A 375-mile car trip used 17 gallons of gas. How much gas would you use on a 250-mile trip?

    • 11.3 gallons

    • 11 miles

    • 22.5 gallons

    • 25.5 gallons

    Correct Answer
    A. 11.3 gallons
    Explanation
    To find the amount of gas used on a 250-mile trip, we can set up a proportion using the given information. Since the car used 17 gallons of gas for a 375-mile trip, we can set up the proportion 375/17 = 250/x, where x represents the amount of gas used on the 250-mile trip. Cross-multiplying, we get 375x = 17 * 250. Dividing both sides by 375, we find that x = (17 * 250) / 375 = 11.3. Therefore, the amount of gas used on a 250-mile trip would be 11.3 gallons.

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  • 11. 

    Solve the following:      (3n + 6) / 3 = 11

    • N = 6

    • N = 9

    • N = 3/26

    • N = 3

    Correct Answer
    A. N = 9
    Explanation
    To solve the equation, we need to isolate the variable n. We can start by multiplying both sides of the equation by 3 to eliminate the fraction. This gives us 3n + 6 = 33. Next, we can subtract 6 from both sides to isolate the term with n, resulting in 3n = 27. Finally, we divide both sides by 3 to solve for n, giving us n = 9. Therefore, the correct answer is n = 9.

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  • 12. 

    Solve the following proportion:      w / 30 = 5 / 15

    • W = 10

    • W = 15

    • W = 30

    • W = 5

    Correct Answer
    A. W = 10
    Explanation
    The given proportion is w/30 = 5/15. To solve this proportion, we can cross-multiply. Cross-multiplying gives us 15w = 150. To isolate w, we divide both sides of the equation by 15. This gives us w = 10. Therefore, the correct answer is w = 10.

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  • 13. 

    Solve the equation:   (2a-4) / 6 = 3/4

    • 17/4

    • 17/5

    • 4/5

    • 35/8

    Correct Answer
    A. 17/4
    Explanation
    To solve the equation (2a-4) / 6 = 3/4, we can first cross multiply to eliminate the fractions. This gives us (2a-4) * 4 = 6 * 3. Simplifying further, we get 8a - 16 = 18. Adding 16 to both sides of the equation, we have 8a = 34. Finally, dividing both sides by 8, we find that a = 34/8, which simplifies to 17/4.

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  • 14. 

    If you have a standard 52-card deck of playing cards, what is the probability of drawinga jack?

    • 1/4

    • 1/13

    • 1/26

    • 1/52

    Correct Answer
    A. 1/13
    Explanation
    The probability of drawing a jack from a standard 52-card deck is 1/13. This is because there are 4 jacks in the deck (one jack of each suit - hearts, diamonds, clubs, and spades) and a total of 52 cards. Therefore, the probability of drawing a jack is equal to the number of favorable outcomes (4) divided by the total number of possible outcomes (52), which simplifies to 1/13.

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  • 15. 

    A bag contains 15 blue marbles, 13 purple marbles, 12 white marbles, and 8 red marbles. What is the probability of randomly selecting a marble that is not red?

    • 11/20

    • 1/6

    • 1/4

    • 1/10

    Correct Answer
    A. 1/6
    Explanation
    The probability of randomly selecting a marble that is not red can be calculated by dividing the number of marbles that are not red (15 blue + 13 purple + 12 white) by the total number of marbles (15 blue + 13 purple + 12 white + 8 red). This simplifies to (40/60), which can be further simplified to 2/3. Therefore, the probability is 1/6.

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  • Current Version
  • Mar 20, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Sep 21, 2012
    Quiz Created by
    Christopher Mack
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