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    Basic Algebra

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    GCF

    Find the GCF of the set of monomials 441,819

    Synthetic Division and Logarithm and Exponential Functions

    A geologist you spoke with is concerned about the rate of land erosion around the base of a dam. Another geologist is studying the magna activity within the earth in an area of New Zealand known for its volcanic activity. One of the shortcuts they apply when doing calculations in the field is to use synthetic division. Use s

    20 algebra problems about quadratic equations

    Solve: 1. (4s + 9)^2 = 36 2. f(x) = x^2 + 18x 3. z^2 + 18z + 64 = 0 5. 7n^2 = 10n - 2 6. 5r^2 + 20r = -18 7. -7x^2 - 5x = 9 8. f(x) = 3x^2 - 5x - 1 Find the vertex: 13. f(x) = (x + 6)^2 - 2 Graph: 12. f(x) = -4(x + 7)^2 + 4 15. f(x) = -x^2 + 2x - 7 Find the x and y intercepts: 16. f(x) = 2x^2 + 6x + 1 S

    Written Expression for a Circuit an a Simplified Karnaugh Map

    2. Write the expression for this circuit: Line A enters an OR Gate, exits, then enters the final AND Gate. Likewise, Line B enters the same OR Gate, exits, and enters the same final AND Gate. Line C goes directly to the final AND Gate. 3. Simplify the following Karnaugh Map: C Bar D Bar C Bar D CD C D

    Find the LCD

    Find the LCD for the following rational expressions, and convert each rational expression into an equivalent rational expression with the LCD as the denominator. -3/2p^2 +7p-15 , p/2p^2 -11p+12 , 2/p^2 +p-20

    Simplifying Expressions

    Do the addition: 7a^3 + 8a^2 + 3 + -2a^3 + 9a - 6 4a^3 - 3a^2 + 3a + 6 ___________________________

    Simplifying Expressions

    Make sure to superscript all exponents. All exponents in final answers should be positive. Final answers should have all single connecting signs and be arranged in descending order. Simplify and evaluate: (2x^-6 y^-4 z^0 / 3^-2 x^-2 y^-8 z^5) ^3

    Evaluating Functions

    Make sure to superscript all exponents. All exponents in final answers should be positive. Final answers should have all single connecting signs and be arranged in descending order. For f(x) = 2x - 1, find f(-9).

    Algebra Word Problems: Relative Speed

    Kim starts to walk 3 mi to school at 7:30 a.m. with a temperature of 0 degrees F. Her brother Bryan starts at 7:45 a.m. on his bicycle, traveling 10 mph faster than Kim. They they get to school at the same time, then how fast is each one traveling?

    Finding LCD

    Find the LCD for the following rational expressions, and convert each rational expression into an equivalent rational expression with the LCD as the denominator. -3/2p^2 +7p-15 , p/2p^2 -11p+12 , 3/p^2 +p-20

    GCF

    Find the GCF 45m^2n^5, 56a^4b^8

    Logarithms explained in this solution

    10 Problems Please see the attached file for the fully formatted problems. 1. Find the value of x: . Choose the correct answer from the following: 2. Evaluate the expression . 3. Write the equation in logarithmic form. 4. Evaluate the expression log 2 1. 5. Fill in the blank to make a true statement.