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mathematics
college algebra

Questions and Answers of College Algebra

Identify the property illustrated in the statement. Assume all variables represent real numbers.6 · 12 + 6 · 15 = 6(12 + 15)
Evaluate the expression for p = -4, q = 8, and r = -10. 5q + 2(1 + p)³ r + 3
Evaluate the expression for p = -4, q = 8, and r = -10. 3p + 3(4 + p)3 r + 8
Evaluate the expression for p = -4, q = 8, and r = -10. –(q – 6)² – 2p -(9 4 - P
Evaluate the expression for p = -4, q = 8, and r = -10. -(p + 2)2 – 3r 2 - 9
Evaluate the expression for p = -4, q = 8, and r = -10. 5 2
Evaluate the expression for p = -4, q = 8, and r = -10. 3 Зр 4 00
Evaluate the expression for p = -4, q = 8, and r = -10. 5r 2p – 3r
Evaluate the expression for p = -4, q = 8, and r = -10. 3r
Evaluate the expression for p = -4, q = 8, and r = -10. Зд
Evaluate the expression for p = -4, q = 8, and r = -10. p +r
Evaluate the expression for p = -4, q = 8, and r = -10. q +r q + p
Evaluate the expression for p = -4, q = 8, and r = -10.-p2 - 2q + r
Evaluate the expression for p = -4, q = 8, and r = -10.-p2 - 7q + r2
Evaluate the expression. 15 + 5· 4 + 6 – 8 |-6 - (-5) – 8 ÷ 2
Evaluate the expression. -8 + (-4)(-6) ÷ 12 4 - (-3) –3)
Evaluate the expression. 11 5 O)-G- 3 10
Evaluate the expression. 5 18
Evaluate the expression. (5 – 3:)(V16 – 2') (
Evaluate the expression. - 2:)(-2 + V25) (4 – 2ª)(-2 + V25)
Evaluate the expression.6(-5) - (-3)(2)4
Evaluate the expression.-4(9 - 8) + (-7)(2)3
Evaluate the expression.9 · 3 - 16 ÷ 4
Evaluate the expression.-2 · 5 + 12 ÷ 3
Evaluate the expression.-4 · 53
Evaluate the expression.-2 · 34
Evaluate the expression.(-2)5
Evaluate the expression.(-3)5
Evaluate the expression.(-2)6
Evaluate the expression.(-2)4
Evaluate the expression.-35
Evaluate the expression.-24
Simplify the expression -7(x - 4y).Let List all the elements of A that belong to each set.Real numbers V12}. A = {-6, -4, -, - V3, 0, 4, 1, 2, 3, V12
Simplify the expression -7(x - 4y).Let List all the elements of A that belong to each set.Irrational numbers V12}. A = {-6, -4, -, - V3, 0, 4, 1, 2, 3, V12
Let List all the elements of A that belong to each set.Rational numbers V12}. A = {-6, -4, -, - V3, 0, 4, 1, 2, 3, V12
Let List all the elements of A that belong to each set.Integers V12}. A = {-6, -4, -, - V3, 0, 4, 1, 2, 3, V12
Let List all the elements of A that belong to each set.Whole numbers V12}. A = {-6, -4, -, - V3, 0, 4, 1, 2, 3, V12
Let List all the elements of A that belong to each set.Natural numbers V12}. A = {-6, -4, -, - V3, 0, 4, 1, 2, 3, V12
Simplify the expression -7(x - 4y).
Evaluate the expression.|-4|
Evaluate the expression.2 · 5 - 10 ÷ 2
Evaluate the expression.103
Match each number from Column I with the letter or letters of the sets of numbers from Column II to which the number belongs. There may be more than one choice, so give all
Fill in the blank(s) to correctly complete each sentence.The distance on a number line from a number to 0 is the _______ of that number.
Fill in the blank(s) to correctly complete each sentence.If the real number a is to the left of the real number b on a number line, then a _____ b.
Fill in the blank(s) to correctly complete each sentence.In the expression 63, 6 is the _________, and 3 is the ______ .
Fill in the blank(s) to correctly complete each sentence.{. . . , -3, -2, -1, 0, 1, 2, 3, . . .} describes the set of ________ .
Fill in the blank(s) to correctly complete each sentence.{0, 1, 2, 3, . . . } describes the set of_______ .
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find each of the
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find each of the
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}. Use these sets to find the following.
Determine whether each statement is true or false.Ø ∩ Ø = Ø
Determine whether each statement is true or false.Ø ∪ Ø = Ø
Determine whether the statement is true or false.{1, 2, 4} ∩ {1, 2, 4} = Ø
Determine whether the statement is true or false.{1, 2, 4} ∪ {1, 2, 4} = {1, 2, 4}
Determine whether each statement is true or false.{3, 5, 9, 10} ∪ Ø = {3, 5, 9, 10}
Determine whether the statement is true or false.{3, 5, 9, 10} ∩ Ø = {3, 5, 9, 10}
Determine whether the statement is true or false.{6, 8, 9} ∪ {9, 8, 6} = {8, 9}
Determine whether the statement is true or false.{2, 3, 5, 9} ∩ {2, 7, 8, 10} = {2}
Determine whether the statement is true or false.{6, 12, 14, 16} ∪ {6, 14, 19} = {6, 14}
Determine whether the statement is true or false.{1, 2, 7} ∪ {1, 5, 9} = {1}
Determine whether each statement is true or false.{8, 11, 15} ∩ {8, 11, 19, 20} = {8, 11}
Determine whether the statement is true or false.{5, 7, 9, 19} ∩ {7, 9, 11, 15} = {7, 9}
Insert ⊆ or ⊄ in in each blank to make the resulting statement true. blank to make the resulting statement true.Ø _____ Ø
Insert ⊆ or ⊄ in each blank to make the resulting statement true.Ø ________ {1, 4, 6, 8}
Insert ⊆ or ⊄ in each blank to make the resulting statement true.{5, 6, 7, 8} ___ {1, 2, 3, 4, 5, 6, 7}
Insert ⊆ or ⊄ in each blank to make the resulting statement true.{0, 1, 2} ____ {1, 2, 3, 4, 5}
Insert ⊆ or ⊄ in each blank to make the resulting statement true.{1, 5} ____ {0, 1, 2, 3, 5}
Insert ⊆ or ⊄ in each blank to make the resulting statement true.{2, 4, 6} ____ {2, 3, 4, 5, 6}
Determine whether the statement is true or false.A ⊆ CLet A = 52, 4, 6, 8, 10, 126, B = 52, 4, 8, 106, C = 54, 10, 126, D = 52, 106, and U = 52, 4, 6, 8, 10, 12, 146.
Determine whether the statement is true or false.B ⊆ DLet A = 52, 4, 6, 8, 10, 126, B = 52, 4, 8, 106, C = 54, 10, 126, D = 52, 106, and U = 52, 4, 6, 8, 10, 12, 146.
Determine whether the statement is true or false.{0, 2} ⊆ DLet A = 52, 4, 6, 8, 10, 126, B = 52, 4, 8, 106, C = 54, 10, 126, D = 52, 106, and U = 52, 4, 6, 8, 10, 12, 146.
Determine whether the statement is true or false.{4, 8, 10} ⊆ BLet A = 52, 4, 6, 8, 10, 126, B = 52, 4, 8, 106, C = 54, 10, 126, D = 52, 106, and U = 52, 4, 6, 8, 10, 12, 146.

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