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Questions and Answers of College Algebra

Simplify each expression. Assume that all variables are positive when they appear.4√16
Simplify each expression. Assume that all variables are positive when they appear.3√-8
Simplify each expression. Assume that all variables are positive when they appear.3√27
Write each number as a decimal.6.453 * 10-1
Tell whether the expression is a monomial. If it is, name the variable(s) and the coefficient and give the degree of the monomial. If it is not a monomial, state why not.-2xy2
Tell whether the expression is a monomial. If it is, name the variable(s) and the coefficient and give the degree of the monomial. If it is not a monomial, state why not.5x2 y3
Factor the difference of two squares.x2 - 4
Approximate each number (a) Rounded and (b) Truncated to three decimal places.18.9526
Add, subtract, or multiply, as indicated. Express your answer as a single polynomial in standard form.(x2 + 4x + 5) + (3x 3)
Approximate each number (a) Rounded and (b) Truncated to three decimal places.25.86134
Add, subtract, or multiply, as indicated. Express your answer as a single polynomial in standard form.(x3 + 3x2 + 2) + (x2 - 4x + 4)
Approximate each number (a) Rounded and (b) Truncated to three decimal places.28.65319
Add, subtract, or multiply, as indicated. Express your answer as a single polynomial in standard form.(x3 - 2x2 + 5x + 10) (2x2 - 4x +3)
Approximate each number (a) Rounded and (b) Truncated to three decimal places.99.05249
Add, subtract, or multiply, as indicated. Express your answer as a single polynomial in standard form.(x2 - 3x - 4) - (x3 - 3x2 + x +5)
Approximate each number (a) Rounded and (b) Truncated to three decimal places.0.06291
Approximate each number (a) Rounded and (b) Truncated to three decimal places.0.05388
Approximate each number (a) Rounded and (b) Truncated to three decimal places.9.9985
Approximate each number (a) Rounded and (b) Truncated to three decimal places.1.0006
Factor the sum or difference of two cubes.x3 + 125
Approximate each number (a) Rounded and (b) Truncated to three decimal places.5/9
Approximate each number (a) Rounded and (b) Truncated to three decimal places.3/7
Approximate each number (a) Rounded and (b) Truncated to three decimal places.521/15
Write each statement using symbols.The product of 5 and 2 equals 10.
Approximate each number (a) Rounded and (b) Truncated to three decimal places.81/5
Write each statement using symbols.The sum of 3 and 2 equals 5.
Write each statement using symbols.The sum of x and 2 is the product of 3 and 4.
Write each statement using symbols.The sum of 3 and y is the sum of 2 and 2.
Write each statement using symbols.The product of 3 and y is the sum of 1 and 2.
Write each statement using symbols.The product of 2 and x is the product of 4 and 6.
Write each statement using symbols.The difference x less 2 equals 6.
Write each statement using symbols.The difference 2 less y equals 6.
Write each statement using symbols.The quotient x divided by 2 is 6.
Write each statement using symbols.The quotient 2 divided by x is 6.
Factor by grouping.6x2 + 9x + 4x + 6
Perform the indicated operations and simplify the result. Leave your answer in factored form. X x² - 7x + 6 2 2 X X 2x - 24
Factor by grouping.9x2 - 6x + 3x - 2
Perform the indicated operations and simplify the result. Leave your answer in factored form. X x - 3 x + 1 x2 + 5x – 24
Perform the indicated operations and simplify the result. Leave your answer in factored form. 4x ²-4 2 9-x+zx
Perform the indicated operations and simplify the result. Leave your answer in factored form. 3x x-1 x - 4 x² - 2x + 1 X
Perform the indicated operations and simplify the result. Leave your answer in factored form. 3 (x - 1)²(x + 1) 2 (x - 1)(x + 1)2²
Perform the indicated operations and simplify the result. Leave your answer in factored form. 2 (x + 2)²(x - 1) 6 (x + 2)(x - 1)²
Perform the indicated operations and simplify the result. Leave your answer in factored form. x + 4 x²-x-2 2x + 3 2 x² + 2x - 8
Multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form.(x - 7)(x + 7)
Perform the indicated operations and simplify the result. Leave your answer in factored form. 2x - 3 x² + 8x + 7 x - 2 (x + 1)²
Perform the indicated operations and simplify the result. Leave your answer in factored form. 1 X 2 x² + x 2 +3 3 2 x
Perform the indicated operations and simplify the result. Leave your answer in factored form. X (x - 1)² + 2 X x + 1 x³ = x²
Multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form.(3x + 2)(3x - 2)
Multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form.(x + 4)2
Simplify each expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, we assume that the base is not 0. x-²y xy²
Simplify each expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, we assume that the base is not 0. (-2)³x4(yz)² 3²xy³z
Simplify each expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, we assume that the base is not 0. 4x ²(yz)-¹ 2³x+y
Simplify each expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, we assume that the base is not 0. 5x-2 -2 бу -3
Is subtraction commutative? Support your conclusion with an example.
Is subtraction associative? Support your conclusion with an example.
Is division commutative? Support your conclusion with an example.
Is division associative? Support your conclusion with an example.
If 2 = x, why does x = 2?
Find the value of the expression 4x3 + 3x2 - x + 2 if x = 1. What is the value if x = 2?
Perform the indicated operations and simplify the result. Leave your answer in factored form. 1 1 hx + h X
Perform the indicated operations and simplify the result. Leave your answer in factored form. 1 h (x + h)²
Multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form.(x - 4)2
Are there any real numbers that are both rational and irrational? Are there any real numbers that are neither? Explain your reasoning.
What is the value of (0.1)3(20)3?
A rational number is defined as the quotient of two integers. When written as a decimal, the decimal will either repeat or terminate. By looking at the denominator of the rational number, there is a
Use a calculator to evaluate each expression. Round your answer to three decimal places.(8.2)6
The current time is 12 noon CST.What time (CST) will it be 12,997 hours from now?
Use a calculator to evaluate each expression. Round your answer to three decimal places.(3.7)5
Both a/0 (a ≠ 0) and 0/0 are undefined, but for different reasons. Write a paragraph or two explaining the different reasons.
Use a calculator to evaluate each expression. Round your answer to three decimal places.(6.1)-3
Use a calculator to evaluate each expression. Round your answer to three decimal places.(2.2)-5
Use a calculator to evaluate each expression. Round your answer to three decimal places.(-2.8)6
Use a calculator to evaluate each expression. Round your answer to three decimal places.-(2.8)6
Use a calculator to evaluate each expression. Round your answer to three decimal places.(-8.11)-4
Use a calculator to evaluate each expression. Round your answer to three decimal places.-(8.11)-4
Write each number as a decimal.6.15 * 104
Write each number as a decimal.9.7 * 103
Write each number as a decimal.1.214 * 10-3
Write each number as a decimal.9.88 * 10-4
Write each number as a decimal.1.1 * 108
Write each number as a decimal.4.112 * 102
Write each number as a decimal.8.1 * 10-2
The distance from Earth to the Moon is about 4 * 108 meters. Express this distance as a whole number.
The height of Mt. Everest is 8848 meters. Express this height in scientific notation.
The diameter of an atom is about 1 * 10-10 meter. Express this diameter as a decimal.
The wavelength of visible light is about 5 * 10-7 meter. Express this wavelength as a decimal.
The smallest commercial copper wire is about 0.0005 inch in diameter.† Express this diameter using scientific notation.
The smallest motor ever made is less than 0.05 centimeter wide. Express this width using scientific notation.
One light-year is defined by astronomers to be the distance that a beam of light will travel in 1 year (365 days). If the speed of light is 186,000 miles per second, how many miles are in a
How long does it take a beam of light to reach Earth from the Sun when the Sun is 93,000,000 miles from Earth? Express your answer in seconds, using scientific notation.
Factor each polynomial by removing the common monomial factor.ax - a
Factor each polynomial by removing the common monomial factor.ax2 + a
Evaluate each factorial expression.10!
Express each sum using summation notation. + 4 + 1 13
Evaluate each factorial expression.9!
Express each sum using summation notation. 2+ + + *** + 2n+1 3″
Evaluate each factorial expression.9!/6!
Evaluate each factorial expression.12!/10!
Evaluate each factorial expression. 31 7! 4!
Evaluate each factorial expression. 5! 8! 31

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