Math 1 Pretest

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1st Grade Math Quizzes & Trivia

This is an assessment to see what information you know from 6-8 grade Math. Please take your time and read the explanations after each.


Questions and Answers
  • 1. 

    What is the LCM of 6 and 15?

    • A.

      6

    • B.

      30

    • C.

      3

    • D.

      2

    Correct Answer
    C. 3
    Explanation
    LCM means least common multiple. You want to find the smallest number that goes into both numbers.

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  • 2. 

    Add the following 2/3 and 4/5.

    • A.

      22/15

    • B.

      6/8

    • C.

      29/15

    • D.

      6/15

    Correct Answer
    A. 22/15
    Explanation
    You must find a common denominator when adding and subtracting fractions. The smallest number that both 3 and 15 will go into is 15. Therefore the common denominator is 15. You then must multiply 2 by 5, because that is what you had to multiply 3 by to get 15. Then you must multiply 4 by 3 because that is what you had to multiply 5 by to get 15. You now have the fractions 10/15 and 12/15. When adding fractions, the denominator stays the same and you add the numerators. Therefore, the answer is 22/15, which does not reduce.

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  • 3. 

    Which of the following is the correct volume for a cube which has sides that measure 3in?

    • A.

      6

    • B.

      9

    • C.

      15

    • D.

      27

    Correct Answer
    D. 27
    Explanation
    To find the volume of a cube you must multiply the length, the width and the depth. In a cube all three of these are the same length, so you must multiply 3 by 3 by 3.

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  • 4. 

    Solve the equation:  x - 15 = 12

    • A.

      X = 3

    • B.

      X = 27

    • C.

      X = - 3

    • D.

      X = -27

    Correct Answer
    B. X = 27
    Explanation
    You must add 15 to both sides to get x by itself.

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  • 5. 

    What is the absolute value of 21?

    • A.

      21

    • B.

      -21

    Correct Answer
    A. 21
    Explanation
    The absolute value means the distance from zero. Distance can never be negative, so the answer must be positive.

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  • 6. 

    Evaluate:  (-12) + 10

    • A.

      22

    • B.

      -2

    • C.

      -22

    • D.

      2

    Correct Answer
    B. -2
    Explanation
    If an object is 12 feet below sea level (-12) and then it goes up 10 ft (+ 10) the object is still 2 feet below sea level (-2).

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  • 7. 

    Decide which expression represents the following statement:  Five less than twice a number.

    • A.

      2x + 5

    • B.

      5x - 2

    • C.

      5x + 2

    • D.

      2x - 5

    Correct Answer
    D. 2x - 5
    Explanation
    Twice a number is 2x. But you also need five less than that, which means you need to subtract five from 2x.

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  • 8. 

    Apply the distributive property to 2(x + 1).

    • A.

      X + 2

    • B.

      2x + 2

    • C.

      2x + 1

    • D.

      2x + 3

    Correct Answer
    B. 2x + 2
    Explanation
    The distributive property means to multiply each value in the parenthesis by the value outside.

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  • 9. 

    Solve 10 = 2x + 4.

    • A.

      X = 3

    • B.

      X = 7

    • C.

      X = 4

    • D.

      X = 12

    Correct Answer
    A. X = 3
    Explanation
    This is a two step equation. You first must subtract 4 from each side to get 2x by itself. Then you must divide each side by 2 to get x by itself.

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  • 10. 

    Find the median of the following data:3, 1, 7, 6, 11, 2, 4, 13, 5

    • A.

      5

    • B.

      5.8

    • C.

      5.5

    • D.

      6

    Correct Answer
    A. 5
    Explanation
    The median is the value that splits a data set in half. However, before you can find the median, you must order the data from least to greatest.

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  • 11. 

    Which of the following is a perfect square?

    • A.

      6

    • B.

      12

    • C.

      25

    • D.

      32

    Correct Answer
    C. 25
    Explanation
    A perfect square is a number which represents the multiple of the same two numbers. For example 9 is perfect square because it represents 3 times 3. In this case the only number that represents a a multiple of the same two numbers is 25, which is 5 times 5.

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  • 12. 

    Use the Pythagorean Theorem to find the hypotenuse of a right triangle with legs that measure 3 and 4.

    • A.

      25

    • B.

      7

    • C.

      5

    • D.

      49

    Correct Answer
    C. 5
    Explanation
    Pythagorean theorem states that the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. Therefore in this case 9 + 16 should be equal to the square of the unknown hypotenuse. So 25 is the square of the hypotenuse. But you must take the square root of 25 to find the actual length, which is 5.

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  • 13. 

    What is the slope of the line with equation y = 3x - 10.

    • A.

      -10

    • B.

      10

    • C.

      3

    • D.

      -3

    Correct Answer
    C. 3
    Explanation
    Slope intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. 3 is the slope of this line.

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Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Jan 02, 2013
    Quiz Edited by
    ProProfs Editorial Team
  • Jul 03, 2009
    Quiz Created by
    Klrhinehart3843
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