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    Basic Algebra

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    Graph the Inequality

    20. Solve the inequality, state the solution set using interval notation and graph the solution set. 5x -10x^2 > 0

    Graphing Inequalities

    19. Solve the inequality, state the solution set using interval notation and graph the solution set. x^2 + x > 0

    Quadratic Equations - Factoring

    1) Solve the following by factoring: a) Answer: Show your work here: b) Answer: Show your work here: 2) If , find: a) f(2) Answer: Show your work here: b) f(-3) Answer: Show your work here: 3) Solve using the quadratic formula. Answer: Show your work here: 4) U

    Reduce to Lowest Terms

    Perform the indicated Operation. Reduce your answer to lowest terms. ((x-1)/(x^2-x-2)) + ((x+4)/(x^2+5x+6))

    Line Equations and Inequalities

    1. Plot at least 5 points. 2. Find the slope and y intercept for each line that has a slope and y intercept. 3. Find if lines are parallel, perpendicular or neither. 4. Marginal revenue: A defense attorney charges her client $4000 plus $120 per hr. Formula R=120n+4000 gives her revenue in dollars

    Algebra : Solving Equations and Word Problems

    1. Solve by factoring: x^2 - 9x = -8 2. Solve using the square root property: 2x^2 - 5 = 93 3. Solve using the square root property: (x + 4)^2 = 81 4. Solve by completing the square: x^2 + 6x + 2 = 0 5. Solve using the quadratic formula: x^2 - 3x = -6x - 1 6. Solve using th

    Solving Equations from Word Problems

    For 1989 and 1990 Dave Johnson had the highest decathlon score in the world. When Johnson reached a speed of 32 ft/sec on the pole vault runway, his height above the ground t seconds after leaving the ground was given by h= -16t^2+32t. (The elasticity of the pole converts he horizontal speed into vertical speed.) Find the value

    Logarithms and Depreciation Method

    Solve this equation for x, using logarithm 20=3(1.08)(to the power of) x Suppose a machine is worth 33000 after 4 years and 18000 after 8. Find the rate of depreciation using the linear depreciation method If the total value of sales, s (in £000) is given by the equation s=500(1-e(to the power of) -0.16t), where time t is

    Algebra Word Problem: area of a window

    A window is in the shape of a square of side s, with a semicircle of diameter s above it. Write a function that expresses the total area of the window as a function of s.

    Solving equations involving exponents.

    Problems from a textbook with answers given: 1. 8 x 2^x = (1/4)^3x + 5. Answer given -13/7 2. 3 square root 5/ 2 square root 6. Answer given square root 30/4. 3. 3 square root 50/ 5 square root 27. Answer given square root 6/ 3. 4. 4 square root 45/ 5 square root 8. Answer given 3 square root 10/ 5. Thank yo

    Solving Trinomials

    I have to find the perfect square trinomial whose first two terms are given. See attached file for full problem description.

    Algebra : Simplification and Word Problems

    1. Factor: x^3y + 2x^2y^2 + xy^3 2. Solve the equation: 2h^2 - h - 3 = 0 3. Solve the equation. 2w (4w + 1) = 1 4. Solve the equation. M^3 + 2m^2 - 3m = 0 5. Solve the equation. 1/18 h^2 - ½ h + 1 = 0 6. Rectangular stage. One side of the rectangular stage is 2 meters longer than the other. If th

    Operations with polynomials and radicals

    1. Do the operations and simplify. (a^-2b^3)/(x^-8y) . (a^6b^2)/(x^8y^4) 2. Do the operations and simplify. (x^2 + 8x + 16)/(x) . (x^2 - 4x)/(x^2 - 16) 3. Do the operations and simplify. (a + 5)/(25 - a^2) . (5a - 25)/(5a + 25) 4. Simplify the expression. (x2 - 36)/(x^2 - 64) ÷ (x + 6)/(x - 8) 5

    Linear Equations and Inequalities

    1) Solve the following: a) 2x + 5 = 9 Answer: Show your work here: b) Answer: Show your work here: c) Answer: Show your work here: d) Answer: Show your work here: 2) a) Solve for y Answer: Show your work here: b) When graphed this equation would be a line. By examining

    Simplifying Expressions (8 Problems)

    Simplify 1) (2z^2-9z+4) - (-5z-7) + (z^2-6z+7) 2) 2x^3 . 8t . 2t^4x^6 3) (6u - w - 3) (4u+ 5w -4) 4) Perform the following division: (10x^4 + 13x^3 - 7x^2 + 2x-6) / (2x +3) Write your answer in the form Q(x) + R (x)/ 2x+3, where Q(x) is the quotient and R (x) is the remainder of the division. Ans: (10x^4 + 13x^3 - 7

    Simplify Rational Expressions

    1. Simplify the rational expression (6x - 8)/(8 - 6x) 2. Evaluate the expression f(x) = (3x + 2)/ (x) for x = 4 3. The average (mean) cost for a service club to publish a directory of its members is given by the rational function. f(x) = (1.5x + 700)/x where x is the number of directories printed. Find the averag

    Displacement Equation

    A mortar shell is s feet above the ground after t seconds, where s=f(t)= -16t + 510t +63. Find the height of the shell 15 seconds after it is fired. Can anyone break this down and show me step by step how to come to the correct answer?

    Radical Expressions

    Assistance with two radical expressions. See attached file for full problem description.

    Solve an algebraic equation

    Suppose you are at a gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation: C(g) = 3.03 (g) C(2)=6.06 C(9) = 27.27 For the average motorist can you name one value for g that would be inappropriate for this function's purpose. Can y

    Algebra Word Problems and Constant of Variation

    1. For a healthy flamingo, the length of the legs is directly proportional to the total height of the bird. A healthy flamingo, which is 48 inches tall, has legs that are 32 inches long. a. Write a formula, using only variables, that could be used to determine the constant of variation. b. Find the constant of variation

    Algebra Questions

    For non-integer answers, please write your answer as a fraction rather than a decimal. To show your work, you will need to include the algebra used to compute the solution to any equations the formula with substituted values. MTH133 Unit 1 Individual Project - B Name: 1) Solve the following: a) 2x + 5 = 9 A

    Simplifying Rational and Radical Expressions

    1. Simplify the rational expression: 2x^2 - 12x + 18/2x^2 - 18 2. Divide: x^2 - 9x + 20/3x - 15 ÷ x^2 - 16/9x + 36 3. Simplify: √[81x^12y^8z^10] 4. Perform the indicated operations: 2√[48] + 7√[12] -√[27] 5. Multiply: (√[6] + 2√[2])(4√[6] - 3

    GCF and Factoring

    1. Find the GCF of the set of monomials of 252, 468 2. Factor the polynomial 35 y + 14, if possible. 3. Factor the polynomial 7 a ^6 b ^7 c^ 5 - 35 a ^7 b ^5 c ^6, if possible. 4. Factor the expression 2(x + y) - 19 t(x + y). 5. Factor 17 x ^2 + 17 x y + 2 x + 2 y by grouping. 6. Factor the polynomial. 25

    Basic Algebra: Solving Quadratic Equations

    From a textbook: Solve the following equation for x 49x^-5/8 - 8/7x^7/8 = 0 I reached an answer of 4/49 but the textbook gives an answer of 49/4 - ?printing error or have I got something wrong? Also I would like some clarity with the following - I have only sort of got them right. 1. x^2/3 - x^1/3 - 2 = 0. Answer g

    Determining Indices

    1. x^-1/4 = 125x^1/2. Answer given 1/625. 2. 8x^-2 = 343x^-1/2. Answer given 4/49. 3. 2x^1/3 = 81/8x^-1. Answer given 27/8.

    Basic Algebra Problems: Factoring Polynomials

    1. Which one is a prime number of 330. a. 11*3*5*2 b. 33*5*2 c. 11*3*10 d. 3*5*2 2. Find the GCF of the set of monomials of: 528, 624 a. 48 b. 50 c. 528 d. 624 3. Factor out the negative of the greatest common factor of: -4b + 20 4. Factor the polynomial: 81a^8b^4c^8 - 4d^10 5. Factor the polynomial:

    Algebraic expressions of the production function

    #2) Following are different algebraic expressions of the production function. Decide whether each one has constant, increasing, or decreasing returns to scale. a. Q = 75L0.25 K0.75 b. Q = 75A0.15 B0.40 C0.45 c. Q = 75L0.60 K0.70 d. Q = 100+50L+50K e. Q = 50L+50K+50LK f. Q = 50L2 + 50K2 g. Based on the answers for the