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mathematics
college algebra
Questions and Answers of
College Algebra
We can show a connection between dividing one polynomial by another and factoring the first polynomial. Let ƒ(x) = 2x2 + 5x - 12. Work Exercises in order.Evaluate ƒ(-4).
We can show a connection between dividing one polynomial by another and factoring the first polynomial. Let ƒ(x) = 2x2 + 5x - 12. Work Exercises in order.Evaluate ƒ(3/2).
We can show a connection between dividing one polynomial by another and factoring the first polynomial. Let ƒ(x) = 2x2 + 5x - 12. Work Exercises in order.Complete the sentence: If ƒ(a) = 0, then x
Perform the indicated operations. 3/4 + 6
Determine whether each statement is true or false. If it is false, correct the statement so that it is true. -76 = (-7)6
Choose the correct response.The identity element for addition is A. -a B. 0 D. 1/1. a C. 1 D.
Perform the indicated operations. 3 7 ÷ 9 14
Determine whether each statement is true or false. If it is false, correct the statement so that it is true. -57 = (-5)7
Choose the correct response.The identity element for multiplication is A. -a B. 0 C. 1 D. a
Choose the correct response.The additive inverse of a is A. -a B. 0 C. 1 D. a
Complete each statement and give an example.The sum of two positive numbers is a _____________ number.
A student claimed that {x|x is a natural number greater than 3} and {y|y is a natural number greater than 3} actually name the same set, even though different variables are used. Was this student
Choose the correct response.The multiplicative inverse of a, where a ≠ 0, is A. -a B. 0 C. C. 1 1 D. 1 a
Decide whether each statement is true or false. If it is false, explain why.In the fraction 5/8, 5 is the numerator and 8 is the denominator.
Determine whether each statement is true or false. If it is false, correct the statement so that it is true. 3+5 8 3+ (5.8)
Complete each statement and give an example.The sum of two negative numbers is a _____________ number.
Give a real number that satisfies each condition.(a) An integer between 6.75 and 7.75 (b) A rational number between 1/4 and 3/4(c) A whole number that is not a natural number(d) An integer that
Decide whether each statement is true or false. If it is false, explain why.The mixed number equivalent of the improper fraction 31/5 is 6 1/5 .
Perform the indicated operations.13.25 - 6.417
Which choice shows the correct way to write 16/24 in lowest terms? A. 16 24 - 8+8 8 + 16 || = 8 16 2 1|2 = 16 4.4 - 24 B. = = 4.6 6 C. 16 8.2 2 24 8.3 3 = =
Determine whether each statement is true or false. If it is false, correct the statement so that it is true.√25 is a positive number.
Complete each statement and give an example.The sum of a positive number and a negative number is negative if the negative number has the _____________ absolute value.
Decide whether each statement is true or false. If it is false, explain why.The fraction 7/7 is proper.
Perform the indicated operations.0.7 × 0.04
Complete the table of fraction, decimal, and percent equivalents. Fraction in Lowest Terms 516 Decimal Percent
Complete each statement and give an example.The sum of a positive number and a negative number is positive if the positive number has the _____________ absolute value.
List the elements in each set.{m|m is a natural number less than 9}
Decide whether each statement is true or false. If it is false, explain why.The reciprocal of 6/2 is 3/1 .
Determine whether each statement is true or false. If it is false, correct the statement so that it is true.(-6)7 is a negative number.
Complete each statement.The distributive property provides a way to rewrite a product such as a(b + c) as the sum _______ .
Complete each statement and give an example.The difference of two positive numbers is negative if _____________ .
List the elements in each set.{z|z is an integer greater than 4}
Determine whether each statement is true or false. If it is false, correct the statement so that it is true.(-6)8 is a positive number.
Complete each statement.The commutative property is used to change the _______ of two terms or factors.
Write each expression using exponents. (0.1) (0.1) (0.1) (0.1) (0.1) (0.1)
Perform the indicated operations. 8 4 32 5-2(-1) -3.2³ + 24
Find each square root. If it is not a real number, say so. V 196
Write each improper fraction as a mixed number. 16 9
Find each sum or difference. 73 7 3 + 4
Graph the elements of each set on a number line. {-4, -2, 0, 3, 5}
Write each improper fraction as a mixed number. 77 12
Find each sum or difference.-12 + 16
Graph the elements of each set on a number line. {-3, -1, 0, 4, 6}
Find each square root. If it is not a real number, say so. -V225
Simplify each expression.4n - 6n
Use set-builder notation to describe each set.{. . . , -6, -3, 0, 3, 6, . . .}
Write each improper fraction as a mixed number. 67 13
Find each sum or difference. 5 4 + 6 9
Evaluate each exponential expression. (a) 82 (b) -82 (c) (-8)² (d) -(-8)²
Write each expression using exponents.z · z · z · z · z · z · z
Find each square root. If it is not a real number, say so. V-16
Graph the elements of each set on a number line. blin 6 5' 1 5 13 , 0, 4' 6' 4 H} 2 5.2, -
Write each mixed number as an improper fraction. 3 2- 5
Simplify each expression.-8z + 4w
Evaluate each exponential expression. (a) 4³ (b) -4³ (c) (-4)³ (d) -(-4)³
Write each expression using exponents.a · a · a · a · a
Write each mixed number as an improper fraction. 6 7
Evaluate 8k+ 2m² r-2 for k = -3, m = -3, and r = 25.
Simplify each expression.-12k + 3r
Write each mixed number as an improper fraction. 12= 3
Simplify each expression. -3(2k - 4) + 4(3k 5) - 2 + 4k
Graph the elements of each set on a number line. 2 als 3 0, 4 12 9 5' 5'2' 4.8
Find each sum or difference.-2.8 + 4.5
Simplify each expression.a + 7a
Which elements of each set are (a) Natural numbers, (b) Whole numbers, (c) Integers,(d) Rational numbers, (e) Irrational numbers, (f) Real numbers? {-9, -V6, -0.7, 0, 97, V7, 4.5, 8,
Write each mixed number as an improper fraction. 10- 5
Simplify each expression. (3r+ 8) (-4r + 6)
Find each sum or difference.-3.8 + 6.2
Simplify each expression.s + 9s
Evaluate each expression.42
Find each sum or difference.4 - 9
Simplify each expression.x + x
Evaluate each expression. (-5)³
Simplify each expression.-12y + 4y + 3y + 2y
Simplify each expression. -(-3x - 4y)
Multiply or divide as indicated. Write answers in lowest terms as needed. 3 5 20 21
Evaluate each expression. ,()
Multiply or divide as indicated. Write answers in lowest terms as needed. 1 10 12 5
Find each sum or difference. 12- (-22)
Evaluate each expression. +1 5 4
Multiply or divide as indicated. Write answers in lowest terms as needed. 1 8 10 7
Evaluate each expression. 7 10 3
Determine whether each statement is true or false. If it is false, tell why.Every irrational number is an integer.
Find each sum or difference. -16-(-3)
Simplify each expression. 2(x - 3y + 2z) 1
Multiply or divide as indicated. Write answers in lowest terms as needed. 15 4 8 25
Simplify each expression. 8(3x + y - 5z)
Find each sum or difference. -21-(-6)
Determine whether each statement is true or false. If it is false, tell why.Every integer is a rational number.
Find each sum or difference. -12.31 (-2.13) -
Determine whether each statement is true or false. If it is false, tell why.Every natural number is a whole number.
Determine whether each statement is true or false. If it is false, tell why.Some rational numbers are irrational.
Multiply or divide as indicated. Write answers in lowest terms as needed. 21 8 4 7
Find each sum or difference. -15.88 (-9.42)
Determine whether each statement is true or false. If it is false, tell why.Some rational numbers are whole numbers.
Evaluate each expression. (-3) 5
Multiply or divide as indicated. Write answers in lowest terms as needed. 21 3 7
Find each sum or difference. 9 10 413
Simplify each expression.-5r - 9r + 8r - 5r
Determine whether each statement is true or false. If it is false, tell why.Some real numbers are integers.
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