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    Basic Algebra

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    Algebra: Solve & Simplify

    Problems in math 209. 1. Solve for x. 2(x - 5) = 6x - 26 2.Solve the inequality for u. 14 < -4 - 2u 3. A total of 511 tickets were sold for the school play. There were 61 more student tickets sold than adult tickets. How many adult tickets were sold? 4. Graph the line. y = -3x + 3 5. Find the values

    Basic Algebra Concepts

    1. Find the GCE: 8x^2, -4x, -20 2. Factor, check by multiplying: 5x^5 + 10x^3 3. Factor: m^4 (8-3m) -7(8-3m) Factor: 4. 3x^2 - x -4 5. 6 - 13x + 6x^2 6. 6x^2 + 33x + 15 Determine whether each of the following is a trinomial square: 7. x^2 + 3x +9 Factor completely: 8. x^3 + 24x^2 + 144x 9. 9^2 - 1 10/ 25x^2

    Evaluating Equations and Performing Operations

    1. Miscellaneous Write the interval notation for the interval of real numbers shown in each graph. 2. Fractions,Decimals, and Percents Convert each given fraction, decimal, or percent into its other two forms. 19/20 3. Miscellaneous Perform the indicated operations. 15 + (-39) 4. Fill in the parentheses so that

    Calculate the numbers of coins for a given total value.

    A storekeeper goes to the bank to get $10 worth of change. She requests twice as many quarters as half dollars, twice as many dimes as quarters, three times as many nickels as dimes and no pennies or dollars. How many of each coin did she get? The answer is 5 half dollars, 10 quarters, 20 dimes and 60 nickles. How do I put th

    Solving Quadratic Equations: Example Problems

    1. Solve. Let f(x) = (x - 8)^2. Find x so that f(x) = 100. 2. Write a quadratic equation having the given numbers as solutions. 7, -4 3. Complete the square by filling in the two blanks so as to produce a true equation. x^2 + 8x + __ = (x + __)^2 x^2 + 8x + 64; (x+8)^2 x^2 + 8x + 16; (x+4)^2

    I need help answering all these 4 questions

    1) Consider the following nine integers: -4, -3, -2, -1, 0, 1, 2, 3, 4 Which of these integers has an absolute value greater than 1? 2) Evaluate each expression using a=-1, b= 2, and c=-3. (a-c)(a+c) 3) Married filing jointly. The value of the expression 8440+0.25(x-61,300) is the 2006 federal income ta

    Simplify expressions. Solve equations and inequalities.

    1) A scuba driver at sea level descends 80 feet, rises 25 feet, descends 12 feet, and then rises 52 feet where he will do a safety stop for five minutes before surfacing. At what depth did he do his safety stop? For questions #2 and #3, please assume the following when solving the following expressions: a = 3 b = -5

    Determine Slope and Intercepts of a Line

    Please help understanding and formulating a study template for my peer group. We have picked some our favorite brain teasers to study from. Please drop question number 7 while answering the questions in attached document.

    Simplifying algebra expressions: Example problems

    1. Find an equivalent expression without parentheses: -(8x + 4) -(-2a + 9b - 5c) 2. Remove parentheses and simplify: 4y - (y + 5) 3a - 9b - 1/4a - 8b) 3. Simplify: [9(x + 5) - 7] + [4(x - 12) + 9] [6(x + 4) - 12] - [5(x - 8) + 14] 4. Simplify: 4 to the 3rd power + 10 x 20 + 8 to the second powe

    Factoring a quadratic with leading coefficient greater

    Factor the given quadratic equations. 3y^2+22y+24 3x^2-17x+22 5x^2+22x+8 Enclosed is an attachment with a sample of the type of explanation I'm getting, which I do not still understand after reviewing the explanation. The explanation seems very confusing. Please provide a more complete explanation that I can ea

    Algebra: direct and inverse variations. Probability of event

    1. A shipping company is shipping cargo by truckloads. The number of miles per gallon the truck averages goes down as the weight of each load goes up. What is the relationship between the miles per gallon and the weight of the trucks' loads(which variation describes the data)? Direct, Inverse, Direct as nth power, Joint o

    Math: Quadratic Equations and Completing the Square

    Please provide step by step calculations for the following problems. 1. x^2+5x-7=0 The solutions are______ No solutions______ 2. A. solve 4x+x(x-2)=0 B. Find the x-intercepts of f(x)=4x+x(x-2). A. What are the solutions_____? B. What are the x-intercepts_____ 3. Solve for x 4x^2=-21x-5 A

    Truth Table, Negations, Conjunctions and Disjunction

    Truth Table, Negations, Conjunctions and Disjunction Truth Tables for Conditional and Biconditional. Euler Diagrams and Syllogistic Arguments. Please try to show all work if possible and steps (see the attached file).

    Review Question

    June, an owner of a coffee stand, marked down the price of a latte between 7:00 A.M. and 8:00 A.M. from $2.00 a cup. If she grossed $98.69 from the latte sale and we know that she never sells a latte for less than a dollar, how many lattes did she sell between 7:00 A.M. and 8:00 A.M.? Explain your reasoning (note: 71ç9869).

    Evaluate Relations as a Function: Example Problems

    Understanding Functions Determine whether each relation is a function. In addition, provide reasons for identifying a relation as a function. i. {(3, 4), (5, 9), (9, 9), (2, 3)} ii. {(0, 0), (0, 1), (1, 4), (2, 4)} iii. {(2, 1), (4, 5), (8, 4), (1, 0)} iv. {(8, 3), (8, 0), (7, 7), (4, 7)} Solve the Point-Slope Form

    Precalculus questions with polynomials, exponentials, etc.

    1.) If f(x) = x^3 + 3x^2 - 1, which of these is true? I. f has domain all real numbers II. f is a 1-1 function III. f is onto the set of real numbers a. Only one (could be any one b. I and II c. II and II d. I and II e. All three 2) solve e^x +2x =7 3) If log 3 = 1.4 and log5 = 3.6, find log 45 4) Find t

    Perform the following operations and simplify the results

    Please provide solutions. 1. Simplify the following expression. 2. Simplify the following expression. 3. Perform the operations and simplify. 4. Perform the operations and simplify. ÷ 5. Perform the operations and simplify. 6. Perform the operations and simplify. x2 - 4

    Linear Growth Models - population scenarios

    Develop four different population scenarios for a town. As a group, you will decide on the name of the town and the initial population. You will graph the function for each population scenario and use your model to make some decisions about the population. 1) Decide on a name of a rural town. 2) Decide on an initial popula

    Economic investment options

    An investor is consider 4 different opportunities, A, B, C, or D. The payoff for each opportunity will depend on the economic conditions, represented in the payoff table below. Economic Condition Poor Average Good Excellent Inves

    Factor Completely Polynomial Functions

    11. Factor completely. If the polynomial is prime, state this. 3x3 + 6x2 - 189x 12. Factor completely. If the polynomial is prime, state this. x2 - 1.1x + 0.28 13. Factor completely. If the polynomial is prime, state this. 2x2 - 8x + xy - 4y 14. Solve by factoring and using the principle of zero products.

    Finding the power function of hypothesis test

    Let X ~ B(1,theta) (f(x) = (theta^x)*(1-theta)^(1-x) x = 0,1). To test H_0 : theta=0.25 vs H_a : theta < 0.25, we take a random sample of size 10 and reject the H_0 if and only if Sigma(x_i)<1 (i.e. the sum of all x sub i with i ranging from 1 to 10 is less than 1). Find the power function pi(theta), 0 < theta <= 0.25, of this t

    Contraction Mapping Principle and Metric Spaces

    Show that none of the following mappings f:X→X have a fixed point and explain why the Contraction Mapping Principle is not contradicted: X=(0,1)⊆R and f(x)=x/2 "for " x" in" X X=R and f(x)=x+1 "for " x" in" X X={(x,y) "in" R^2│x^2+y^2=1}"and" f(x,y)=(-y,x) "for " (x,y) "in" X

    Abstract algebra proof, modulo m, rings and fields

    Prove that the equivalence relation modulo m where m is an integer, forms a ring. Also, does this same equivalence relation form a field and why? For this proof, you are given that [a]m (m is a subscript) represents an equivalence class modulo m, where m is an integer. We also know that for any two integers, a and b, that

    Abstract Algebra Proof and Equivalence Class

    Suppose [a]m (m is a subscript) represents an equivalence class modulo m, where m is an integer. Prove that for any two integers a and b that, under multiplication, [a]m[b]m = [ab]m. Again, m is written as a subscript.

    Elementary & Intermediate Algebra

    Chapter 2 of Elementary and Intermediate Algebra. I do not understand the questions below: 1.What is the difference between an equation and an expression? How does knowing how to simplify an expression help with solving an equation? 2.When is it all right to cross-multiply when solving an inequality, and what are the rul

    Difference between a polynomial and exponential function

    Here are the questions: 1. What is "e"? Where does it come from and how is it used in mathematics? Give an example. 2. What is the fundamental difference between a polynomial function and an exponential function? Be sure to include a description of the graph of each type of function.

    Algebraic Expressions and Integers Evaluation

    1.Classify each number below as an integer or not. 10/3 -68.44 -56/8 -956.29 -69 2. Classify each number below as a rational number or an irrational number. 12.34_ 16 -5~ 17.56 21 3. Evaluate the expressions below. Write each response as an integer or as a fraction (-2)5 (4/3)3 Evaluate the following. 8/2+6+4x

    Functions and Models: Create a linear equation from your own life

    Think of a mathematical function that represents something from your own life. For example, suppose the number of beers you drink depends on the number of football games you watch. If you drink five beers during every football game, the function would be: Number of Beers (B) = 5 times Number of Football Games (F), or B = 5F