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Number Systems Review

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    roots and exponents
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  • An integer k has the following properties: The square root of k is irrational. The square root of k is between 10 and 11. The difference between 25 - √k rounds to 14. What is a possible value of k?
    111 - 120
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  • An integer k has the following properties: The square root of k is irrational. The square root of k is between 6 and 7. The difference between 15 - √k rounds to 8. What is a possible value of k?
    43 - 48
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  • An integer x has the following properties: The square root of x is irrational. The square root of x is between 12 and 13. The difference between 30 - √x rounds to 18. What is a possible value of x?
    145 - 156
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  • An equation is given where a and b represent integers. What are possible values of a and b?
    a + b = 2
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  • An equation is given where p and q represent integers. What are possible values of p and q?
    p + q = -5
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  • The square root of y is an irrational number. Select all of the values of y that make the statement true. 4, 7, 9, 2, 16
    7 and 2
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  • The square root of z is non-terminating and non-repeating. Select all of the values of z that make the statement true. 2, 4, 9 5, 25
    2 and 5
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  • The square root of b is a number that is irrational and not a perfect square. Select all of the values of b that make the statement true. 5, 49, 64, 7, 63
    5, 7, 63
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  • The square root of a is a non-terminating decimal. Select all of the values of a that make the statement true. 16, 2, 9, 3, 4
    2 and 3
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  • An expression is given that has a value between 5.6 and 5.7, and where x represents an integer. √x + √x What is the value of x?
    8
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  • An expression is given that has a value between 17.3 and 17.4, and where y represents an integer. 5(√y) What is the value of y?
    12
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  • An expression is given that has a value between 3.1 and 3.2, and where a represents an integer. ∛a + ∛a What is the value of a?
    4
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  • An equation is given. What is the value of x?
    9
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  • An equation is given. What is the value of x?
    -7
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  • An expression where x represents a whole number is shown. √8 + √x The value of the expression is between 4 and 5. What is a possible value of x?
    2, 3, 4
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  • An expression where a represents a whole number is shown. √12 + √a The value of the expression is between 7 and 8. What is a possible value of a?
    13 - 20
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