- 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