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mathematics
a survey of mathematics with applications

Questions and Answers of A Survey of Mathematics with Applications

Fill in the blanks with an appropriate word, phrase, or symbol(s).A natural number greater than 1 that has exactly two factors, itself and 1, is known as a(n) ________ number.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The equation 2 + 3 = 3 + 2 demonstrates the ________ property of addition.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The amount by which each pair of successive terms differ in an arithmetic sequence is called the common ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).a) The quotient of two numbers with unlike signs is a(n) ________ number.b) The quotient of two numbers with like signs is a(n)
Fill in the blanks with an appropriate word, phrase, or symbol(s).In the radical expression 3√5, the 3 is called the ________ of the radical expression.
Fill in the blanks with an appropriate word, phrase, or symbol(s).With the power rule for exponents, the expression (x2)3 can be simplified to ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Rational numbers such as 11/4 and -3/2 are examples of ________ fractions.
Determine the GCD and LCM of the numbers.24, 36
Fill in the blanks with an appropriate word, phrase, or symbol(s).A natural number that is divisible by a number other than itself and 1 is known as a(n) ________ number.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The equation 4 • 5 = 5 • 4 demonstrates the ________ property of multiplication.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A sequence in which the ratio of any term to the term that directly precedes it is a constant is called a(n) ________ sequence.
Convert 3 2/11 to an improper fraction.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The principal (or positive) square root of a number n, written √n, is the positive number that, when multiplied by ________, gives
Fill in the blanks with an appropriate word, phrase, or symbol(s).A number written in scientific notation is a number greater than or equal to 1 and less than 10 multiplied by a power of ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The number 1/2 can be represented as a(n) ________ decimal number.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The smallest natural number that is divisible (without remainder) by each number in a set of numbers is known as the least common
Fill in the blanks with an appropriate word, phrase, or symbol(s).The equation (2 + 3) + 4 = 2 + (3 + 4) demonstrates the ________ property of addition.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The constant determined by dividing any term in a geometric sequence by the term that directly precedes it is called the common
Write 13/25 as a terminating or repeating decimal.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Any number that is the square of a natural number is called a(n) ________ square.
Evaluate the expression. Assume x ≠ 0.a) 22 • 23b) (-2)2 • (-2)3
Fill in the blanks with an appropriate word, phrase, or symbol(s).The number 1/3 can be represented as a(n) ________ decimal number.
O’Hare International Airport in Chicago has a flight leaving for New York City every 45 minutes and a flight leaving for Washington, DC, every 60 minutes. If a flight to New York City and a flight
Fill in the blanks with an appropriate word, phrase, or symbol(s).The largest natural number that divides (without remainder) each number in a set of numbers is known as the greatest common ________
Fill in the blanks with an appropriate word, phrase, or symbol(s).The equation (5 • 6) • 7 = 5 • (6 • 7) demonstrates the ________ property of multiplication.
Write the first five terms of the arithmetic sequence with the first term, a1, and common difference, d.a1 = 3, d = 4
Express 6.45 as a quotient of two integers.
Fill in the blanks with an appropriate word, phrase, or symbol(s).When the denominator of a fraction contains no radical expressions, it is said to be ________.
Evaluate the expression. Assume x ≠ 0.a) 3 · 33b) (-3) · (-3)3
Fill in the blanks with an appropriate word, phrase, or symbol(s).In the decimal number 0.285714, the 2 is in the ________ position.
Use a number line to evaluate the expression.2 + (-6)
Fill in the blanks with an appropriate word, phrase, or symbol(s).Prime numbers of the form 2n - 1, where n is a prime number, are known as ________ prime numbers.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The equation 2 • (3 + 4) = 2 • 3 + 2 • 4 demonstrates the ________ property of multiplication over addition.
Write the first five terms of the arithmetic sequence with the first term, a1, and common difference, d.a1 = 8, d = 9
Fill in the blanks with an appropriate word, phrase, or symbol(s).Consider the irrational number the square root of two.a) We use the symbol √2 to represent the ________ value of the number.b) The
Evaluate the expression. Assume x ≠ 0.a) 57/55b) (-5)7/(-5)5
Fill in the blanks with an appropriate word, phrase, or symbol(s).In the decimal number 0.285714, the 7 is in the ________ position.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A hypothesis that has not been proved or disproved is known as a(n) ________.
Simplify √63 + √28.
Determine whether the number is rational or irrational.√36
Determine whether the sequence is a Fibonacci-type sequence (each term is the sum of the two preceding terms). If it is, determine the next two terms of the sequence.1, 4, 9, 16, 25, 36, . . .
Evaluate the expression. Assume x ≠ 0.a) 45/42b) (-4)5/(-4)2
Fill in the blanks with an appropriate word, phrase, or symbol(s).The rational numbers 1/2 and 5/10 are examples of ________ fractions.
Evaluate the expression. Assume x ≠ 0.a) 60b) -60
Reduce each fraction to lowest terms.6/8
Evaluate the expression.-4 + 7
Evaluate the expression. Assume x ≠ 0.a) (-6)0b) -(-6)0
Reduce each fraction to lowest terms.12/30
Write the first five terms of the arithmetic sequence with the first term, a1, and common difference, d.a1 = -3, d = -4
Evaluate the expression.10 + (-3)
Evaluate the expression. Assume x ≠ 0.a) (6x)0b) 6x0
Reduce each fraction to lowest terms.24/42
Determine whether the statement is true or false. Modify each false statement to make it a true statement.64 is a factor of 8.
Determine the indicated term for the arithmetic sequence with the first term, a1, and common difference, d.Determine a20 when a1 = 4, d = 3.
Evaluate the expression.45/42
Evaluate the expression.-9 + 6
Evaluate the expression. Assume x ≠ 0.a) -6x0b) (-6x)0
Evaluate the expression.6 · (-4)
Determine whether the statement is true or false. Modify each false statement to make it a true statement.6 is a factor of 36.
Determine the indicated term for the arithmetic sequence with the first term, a1, and common difference, d.Determine a22 when a1 = 9, d = -3.
Evaluate the expression.43 · 42
Evaluate the expression.-4 + (-4)
Evaluate the expression. Assume x ≠ 0.a) 3-3b) 7-2
Evaluate the expression.(-2)(-12)
Determine the indicated term for the arithmetic sequence with the first term, a1, and common difference, d.Determine a30 when a1 = -20, d = 5.
Evaluate the expression.3-4
Evaluate the expression.6 + (-11) + 0
Evaluate the expression. Assume x ≠ 0.a) 5-1b) 2-4
Evaluate the expression.-35/-7
Determine whether the statement is true or false. Modify each false statement to make it a true statement.54 is a multiple of 9.
Determine the indicated term for the arithmetic sequence with the first term, a1, and common difference, d.Determine a27 when a1 = 16, d = -2.
Evaluate the expression.2 + 5 + (-4)
Evaluate the expression. Assume x ≠ 0.a) -9-2b) (-9)-2
Convert each mixed number to an improper fraction.2 5/6
Evaluate the expression.12/-6
Determine whether the statement is true or false. Modify each false statement to make it a true statement.4 is a divisor of 32.
Evaluate the expression.(-3) + (-4) + 9
Evaluate the expression. Assume x ≠ 0.a) -5-2b) (-5)-2
Convert each mixed number to an improper fraction.4 1/3
Evaluate the expression using the order of operations.8 + 5 · 3
Determine whether the statement is true or false. Modify each false statement to make it a true statement.49 is a divisor of 7.
Evaluate the expression.8 + (-3) + (-2)
Evaluate the expression.√0
Evaluate the expression using the order of operations.4 • 32 - 23 • 3
Determine whether the statement is true or false. Modify each false statement to make it a true statement.5 | 40.
Evaluate the expression.4 - 6
Evaluate the expression.√1
Evaluate the expression. Assume x ≠ 0.a) [ (1/2)2]3b) [ ( -1/2)2]3
Evaluate the expression using the order of operations.(64 ÷ 4 · 2) - (25 - 7 · 4)
Determine whether the statement is true or false. Modify each false statement to make it a true statement.36 | 9.
Evaluate the expression.-9 - 4
Evaluate the expression.√25
a) Select any two one-digit (nonzero) numbers and add them to obtain a third number. Continue adding the two previous terms to get a Fibonacci-type sequence.b) Form ratios of successive terms to show
Evaluate the expression. Assume x ≠ 0.a) 43 · 4-2b) 2-2 · 2-2
Evaluate the expression using the order of operations.-2(5 · 32 - 43 ÷ 8)2
Determine whether the statement is true or false. Modify each false statement to make it a true statement.72 is a divisor of 8.
Evaluate the expression.-3 - 5
Evaluate the expression.√36
Evaluate the expression. Assume x ≠ 0.a) (-5)-2(-5)-2b) (-1)-5(-1)-5
Express the fraction as a terminating or repeating decimal number.11/25

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