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    Basic Algebra

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    Equilibrium Expressions

    What are the equilibrium expressions for: [Co(H2O)₆]²⁺(aq)+4Cl⁻(aq) <--> [CoCl4]2⁻(aq)+6H2O(l) 10. 2Ag⁺(aq)+CO3²⁻(aq) <--> Ag2CO3(s) 11. CO3²⁻(aq)+2H⁺(aq) <--> H2O(l)+CO2(g) 12. 2Ag⁺(aq)+Cl⁻(aq) <--> AgCl(s) Ag+(aq)+2NH3(aq) <--> [Ag(NH3)2⁺(aq) NH3(aq)+ H⁺(aq) <--> NH4⁺(aq)

    Quadratic perimeter and rectangular equations

    1. Solve and show your work The perimeter of a rectangular building is 234 feet. The width is 25 feet shorter than the length. What are the dimensions? (Let W represent the width and L represent the length.) 2. Solve and show your work (x+7)^2=20

    Quadratic and Trinomial Squares Factored

    1. Complete the square. Then write the trinomial square in factored form x^2+2/3 x 2. Solve M 1/2 +6=5m1/4 The answers to this equation is given as 16, 81. Can you explain how they were obtained? 3. For this quadratic function (a) find the vertex and the axis of symmetry (b) graph the function F(x) = -3x^2+6x+2

    Algebra: Solve, Simplify & Factorize

    1. If an expression has two terms, check to see whether the problem type is the -------- of two squares, the sum of two ------ , or the ----------- of two cubes. 2. If an expression has four or more terms, try factoring it by--------------. 3. Factor the polynomial. bc + b + cd + d 4. Factor the polynomial. 64x9 -

    Linear and Quadratic Equations

    1.Bill can row 3 mph in still water. It takes him 3 hours 36 minutes to go 3 miles upstream and return. Find the speed of the current. Show your work. 2.Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one r

    Quadratic equations for x-interception

    1. Use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function. Show your work. F(x) = 7x^2 - 28x + 28 2. Use the discriminate to determine whether the following equations have solutions t

    Cost per ounce

    Find the cost per ounce of each of the following sets of products, and tell which one is the better buy for each pair. You must show your work for both parts. a. 6 ounce tube of toothpaste for $2.30 or a 12 ounce tube of toothpaste for $4.10. b. 4 ounce can of spray for $2.99 or a 6 ounce can of spray for $4.99. c.

    Distance and measurements still have me stumped

    1.Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable and please show your work. A plane flies 400 miles with the wind and 300 miles against the wind in the same length of time. If the speed of the wi

    MTH - 209, 21 questions !!! Algebra Questions 1. Using the x, y graph plot the point 2. Give an ordered pair of numbers that satisfy the following equation: 3. For each point in the table below, decide whether it is on Line 1, Line 2, both, or neither. Line 1: Line 2: (x, y) Line 1 Line 2 Both Lines Neither Line (-6, 7) (-2, 4) (0, -4) 4. Graph the line whose y-intercept is 3 and whose x-intercept is 2. 5. Graph the line. 6. Graph the line. 7. Graph the line with slope passing through the point . 8. Find the slope of the line graphed below (-3, 7) and (2, -6) 9. Graph the line 10. Graph the inequality below on the number line. 11. Find the y -intercept of the line whose equation is 12. Find the x-intercept and y-intercept of the line given by the equation 13. Find the slope of the line 14. A line passes through the point and has a slope of 3 Write an equation for this line. 15. Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 35 liters per minute. There are 700 liters in the pond to start. Let W represent the amount of water in the pond (in liters), and let T represent the number of minutes that water has been added. Write an equation relating W to T, and then graph your equation using the axes below. 16. Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of 1.75. If the monthly bill for 15 HCF is $24.01, what is the monthly bill for 11 HCF? 17. The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes), as shown in the figure below. The monthly cost for 47 minutes of calls is $14.97 and the monthly cost for 100 minutes is $21.86. What is the monthly cost for 57 minutes of calls? 18. Find an equation of the line that is parallel to the line and that passes through the point . 19. The sum of two numbers is 63. The larger number is 5 more than the smaller number. What are the large number and the small number? 20. In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 65. The first car has consumed 56 gallons during that week, and the second has consumed 25 gallons, for a total of 1325 miles driven by the two cars combined. What was the average gas mileage obtained by each of the two cars in that week? 21. A motorboat travels 595 mi in 7 hours going upstream and 484 mi in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

    Algebra Questions 1. Using the x, y graph plot the point 2. Give an ordered pair of numbers that satisfy the following equation: 3. For each point in the table below, decide whether it is on Line 1, Line 2, both, or neither. Line 1: Line 2: (x, y) Line 1 Line 2 Both Lines Neither Line (-6, 7) (-2,

    Exponential and Logarithmic Functions

    Suppose that the number of cars, C, on 1st Avenue in a city over a period of time t, in months, is graphed on a rectangular coordinate system where time is on the horizontal axis. Further suppose that the number of cars driven on 1st Avenue can be modeled by an exponential function, C= p * a t (C=p*a^t) where p is the number of

    Algebra

    1. Multiply (2-5x&#8311;)² =_____ 2. The base of a triangle is 4 cm greater than the height. The area is 30 cm². Find the height and length of the base. Height is ________cm Base is _________cm 3. (y²-7) (6y²-3y+5) =_______ 4. Find the greatest common factor (GCF) of 12x and 14x³ The GCF is_____________

    Evaluating Expressions: Example Problems

    Evaluate the expressions when x=3 and y=8 we must show all. Three answers were given directly without any extra steps or explanation, essay. a. x + 2y b. -4(y - x) c. x - y d. 2x + 3y e. y - 2(x+y)

    Algebra: Solving Equations

    1. Solve this equation The polynomial 0.041h - 0.018A - 2.69 can be used to estimate the lung capacity, in liters, of a female with height h cm and age A years. Find the lung capacity of a 30-year-old woman who is 180 cm tall. Round to the nearest liter. Show your solving steps in the answer. 2. Solve this equation A l

    Receivables Turnover Firms

    The company with sales of$1,034,550 has recievables of $267700 and the industry's average collection period of 65 days. Calculate the firms average collection period, and compare it to the industry average. If the firms receivables turned over as fast as the industry average, how much would the company's receivable be reduced, a

    Maximum Pulse Rate

    If A is your age, the maximum pulse rate you should maintain during aerobic activities is 0.88(220-A). What is the maximum pulse rate you should maintain if you are 15 years old? 35 years old? 40 years old

    Fibonacci sequence: Example problem

    Using Fn+3 = Fn+2 + Fn+1 show that Fn+3 + Fn = 2Fn + 2 and Fn + 3 - Fn = 2Fn + 1 It seems intuitive at first but would appreciate a detailed explanation - how does one identify the terms to be used? Thank you

    Problem Solving

    Guess how much money is in the sugar bowl. There are 7 nickels, but that's not all. There is less than a dollar. I can separate it into 6 piles with the same amount in each pile. I cannot make 7 piles with the same amount in each pile. I could trade my money for dimes and have nothing left over. If I had one more dime, I

    MCQ on Loan Amortization: Example Problem

    Loan amortization, which refers to determining equal annual loan payments, can be implemented by which of the following? a. Adding the loan amount by the interest factor for the present value of an annuity for the appropriate discount rate and number of years. b. Subtracting the loan amount by the interest factor for the

    Compounded Annuity Solving for Rate using Logarithms

    If it takes 9 years for a one-time deposit in a savings account that receives interest compounded quarterly to triple, then what is the interest rate to the nearest tenth of a percent? To answer this question, you will need to utilize the following relationship: If ln(x) = N, where N is some number, then x = eN (if

    Algebra

    Problem-1: Find the gas mileage of a dream car or any car of your choice. Let x be the number of miles driven on 60 gallons of gas. By setting up and solving a proportion involving x, find the value of x for the car that you have chosen. State the type of car, the mileage, and show both the set up of the proportion and the step

    Recovering the Cell Probabilities of a 2-by-2 Contingency Table

    A 2-by-2 contingency table is Control on one axis and Experimental on the other. Control and Experimental are further dichotomized as Event and Non-event. The odds ratio (OR), number needed to harm (NNH), and absolute risk increase (ARI) are functions of the cell probabilities of a 2-by-2 contingency table, and conversely, the c

    Investigating a Quadratic Function from its Graph

    Use the graph of y = x^2 - 6x to answer the following (Please view the attachment): a) Without solving the equation (or factoring), determine the solutions to the equation x^2 - 6x = 0 using only the graph. Explain how you obtain your answer(s) by looking at the graph. b) Does this function have a maximum or a minimu

    College Algebra Questions

    Math 209 College Mathematics II Quiz Instructions: Show work in order to receive partial credit. The number within parentheses represents the point value. There is a maximum of 60 points. The due date is Monday February 22, 2010 1. (4) Factor the following trinomial completely: 6x2 + 21x - 45. 2. (4) Evaluate the ratio

    Algebra

    When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -10t^2 + v*t + k gives the height of the ball at any time, t in seconds, where "v" is the initial velocity (speed) in meters/sec and "k" is the initial height in meters (as if you were on top of a tower or building). Make up a scenario w

    Average rate of bone growth

    Please help with the following basic algebra problems. 1. Estimate the average rate of addition of bone on the diaphyseal surface of the tibia, in micrometers/year, as one grew to skeletal maturity. The tibia's present diameter is 2.5 cm, and assume its diameter was 0.8 cm at birth. Assume that the tibia's periosteal appos

    TATO

    Company sales last year $400,000, year end total assets were $300,000. Average firm in the industry has a total assets turnover ratio (TATO) of 2.5. Need to bring the TATO down to industry average without affecting sales, by selling off excess assets. How much must the assets be reduced to bring the TATO to the industry averag

    Predicted population

    129. Population of the United States. In 2006 the population of the United States was 300.2 million (U.S. Census Bureau, www.census.gov). If the population continues to grow at an annual rate of 1.05%, then the population in the year 2020 will be 300.2(1.0105)14 million. a) Evaluate the expression to find the predicted popu

    Factor the trinomial .

    1. b^2-2b+1-64t^2=Factor completely 2. 3125x^4-5y^4= factor completely 3. Factor the trinomial 25b^2+10b+1= type p if prime 4. 15(x+1)^3-50(x+1)^2-125(x+1) 5. Factor by grouping 9t^4-3t-6t^3+2 6. 3t^2=22t+16 7. Solve the equation (4x+5)(x-5)=8x+10

    Rational Expressions: List of Numbers for the Equation

    1. List all of the numbers for the following equation for which the rational expression is undefined. 3/a-8 2. Susan is 1.59m tall and she wants to find the height of a tree. She walks 23.56m from the base of the tree along the shadow of the tree until her head is in a position where the tip of her shadow exactly overlaps

    Solve the inequalities .

    Solve the inequalities - Please Explain 1. 2. 3. 10< -t - 10 < 15 4. Solve the inequality. Give the result in interval notation. 6x + 3 < 9 or 3x − 10 > 5 5. If k 0, then |x| k is equivalent to 6. Solve the equation, if possible. (If it is not possible enter NONE.) x = (smaller value)