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    Basic Algebra

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    Identify the coefficients, variable terms

    1. Identify the coefficients, variable terms (with exponents), and constants in the following expression. 2x3+5y2-3z+1 2. Identify the coefficients, variable terms (with exponents), and constants in the following expression. 4z5-8x2-6 3. Combine like terms in the following expression. (Hint: You c

    Sales Price of Jeans

    1.Last season, a pair of jeans cost $35.95. This season, the price of the jeans increased by 25 percent. Later in the season, the jeans were put on sale for 25 percent off. â—¦How much did the jeans cost at the beginning of the season? â—¦What was their sale price? â—¦Were you surprised by the sale price of the jeans? Why or

    Calculating the volume of a fish tank

    Jose has a fish tank that measures 11.8 inches wide, 19.7 inches long, and 15.7 inches deep. He empties it halfway to clean it. To refill it when he is done, he will fill a one-gallon jug in the sink and carry it to the tank, pour it in, and then return to the sink again. Convert the dimensions of the tank to centimeters. Rou

    Length and Angles of Triangles, Interest, and Total Payment

    1. If the hypotenuse of a right triangle is 1m more than the longer leg, and the shorter leg is 9m long, find the length of the longer leg. The longer led is_____m. 2. Find the finance charge on an unpaid balance of $1818.86 in a revolving charge account if the monthly interest rate is 1.7%. The finance charge is $______(roun

    Miscellaneous Interest Compounding Problems

    1. Interest is compounded semiannually. Find the final amount and the interest earned after the given time. Principal - $3,000. Rate of Interest 4%. Time 3 years. The final amount in the account is $________. The interest earned is $_______. 2. Find the present value of the following future amount. $300,000 at 11% compounded

    Miscellaneous algebra problems

    1. Allen, Bonita, Chloe and Dean are four senators on a certain subcommittee. Any or none of them may be selected to another subcommittee. How many different variations for the new subcommittee are there? There will be _____possible subcommittees. 2. Use induction to predict the next three numbers in the pattern. 25, 5, 1, 1/

    Practice in Proportional Word Problems - 7th Grade

    Please attempt to solve 12 problems in the attached documents. They are all word problems that provide practice in solving proportions or calculating formulas that include unknowns. The student asked for step-by-step instructions to help to understand how to solve them.

    Quadratic equation of a rocket

    Find the time based on the information given. Distance-100 miles, Rate 109.5509...the time is ____hours. Also, answer the following: A rocket is launched from the top of an 60 foot cliff with an initial velocity of 110 feet per second. The height, h, of the rocket after t seconds is given by the equation h=-16t^2+110t+60.

    Determining Gecko's Speed

    You are given the research task of determining how fast a gecko can climb walls. To make the measurement required, you are given a spool of threat and a spinometer, a device that measures the spin rate of the spool and uses it to calculate the rate at which the thread is leaving the spool. Attaching the free end of the thread to

    Finding the General Term of a Sequence

    Please provide descriptive answers to help an 8th grader learn how to approach sequencing problems. Questions and answers are provided. 3. The 30th term of a sequence is 42. If each term in the sequence is four greater than the previous number, what is the first term? 4. The microscopic length of a crystalline structure grow

    Solving Linear Equations by Addition

    1. Solve the system by addition. x + 4y = 2 3x - 2y = -22 2. Solve the system by addition. x + y = 8 x - y = 8 3. Solve the system by addition. 5x - 3y = 13 4x - 3y = 11

    Compound interest and straight lines

    1. If a person has $100 to invest at 5% per annum compounded monthly; how long will it be before she has $150? If the compounding is continuous, how long will it be? A) Compounding monthly, it will be about ___ years before the person has $150. Round answer to 2 decimal places as needed. B) Compounding continuously, it will b

    Composite Function and Characteristics of a Graph

    1. Given f(x) = 4x^2 - 3 and g(x) = 5 - 1/2x^2. Find the following expressions. Simplify your answer for all solutions. (a) (f o g)(4) (b) (g o f)(2) (c) (f o f)(1) (d) (g o g)(0) 2. For the given equation, list the intercepts and test for symmetry. x^2 + y - 16 = 0 A. What are the intercept(s)? Write as an ordered pa

    Quadratic Expression and Parabolas

    1. Determine the quadratic function F whose graph is given: The vertex is (3, -11) an the y-intercept is -2. 2. A man has available 2800 yards of fencing and wishes to enclose a rectangular area. 4. Express the area A of the rectangle as a function of W of the rectangle. 8. For what value of W is the area largest?

    Graph Based Problems

    1. Use the given graph of the function f to answer the following questions: (a) F(-7) = (b) F(-3) = (c) F(6) = (d) Is F(-3) positive or negative? (e) For what numbers x is f(x)=0? (f) What is the domain of f? A) [-7, 6] B) (-7, 6) C) (-infinity, infinity) D) [-2, 3] (g) What is range of f? A) [-7, 6] B) (-2, 3)

    Tracing a Graph and Intervals

    1. Use the given graph of the function F, find the following. (a) What are the intercepts, if any? Simplify the answer. Write an ordered pair. (b) The domain is ? Write in interval notation. The range i ? Write in interval notation. (c) Is the function even, odd, or neither? (d) On which interval(s) is the graph i

    Future value and maturity value

    26. Find the future value FV of the given present value of $3,690 at 2 3/4% for eight years. 34. Find the future value FV of the given present value of $12,450 at 5 7/8% for 630 days. 47. Find the maturity value FV of the given loan amount of $1,200 borrowed at 7 1/8% for three years. 55. Find the maturity value FV of the

    Functions of polynomials with different degrees

    Question 1) Determine whether the function is a polynomial function. If it is, state the degree. If it is not, tell why not. G(x)=7(x-5)^2(x^2+6) a) Polynomial of degree 4 b) Polynomial of degree 7 Question 2) Form a polynomial whose real zeros and degree are given. Zeros: -1, 0, 5. Degree: 3 Write a polynomial with in

    Solving Geometry Questions

    6. Find the area of the following figure (see attached), give that a = 2, b =7 and h = 5. 14. Find the area and perimeter of the following figure (see attached). 24. Find the volume and surface area of the following rectangular box (see attached). 31. Find the volume of the following figure (see attached). 47. On

    Probability and Odds: Children, Coin Tossings, Snapdragon Offspring color

    Please see attached file for full problem description. I need help on these few problems.They include indicating the probabilities and odds that a given family will have boys or girls, the odds of getting heads or tails in a coin toss, and the possible colors of the offspring of snapdragon flowers.

    Computing Probability and Odds

    Three coins are tossed. Using H to indicate heads and T to indicate tails, give the following. (To indicate that the first coin is tails, the second coin is tails, and the third coin is heads enter TTH. Express the answer as a comma-separated list.) a. the sample space S b. the event E that exactly two are heads c. the e

    Finding the Probability and Odds

    A jar on your desk contains fourteen black, six red, twelve yellow, and three green jellybeans. You pick a jellybean without looking. a. Find the probability that it is red or yellow. b. Find the probability that it is not red. c. Find the odds of picking a black jellybean. Write the final answer as a reduced fraction in

    Adding, subtracting, multiplying negative and positive numbers

    Need help to verify if the answers are correct. I get really confused with this stuff. Sometimes I can't remember the correct sign to use(positive or negative). Please provide step by step instructions so that I am able to better understand how to solve the problems. Find the sum: 1. -2 + (-3) = -5 2. 8 - 7 + = 5 3.

    Making Uncertainty Decisions Using Different Driteria

    The expected savings in equipment maintenance costs for three different policies of preventive maintenance (PM1, PM2, and PM3) and three levels of operation of the equipment are shown: Operation Level 1 Operation Level 2 Operation Level 3 PM1 $60,000 $75,000

    Annual Equivalent Cost; Oven Case Study

    Synta Manufacturing Company is considering purchase of new oven to dry its painted optical tube assemblies. Alternative 1: Conventional oven will cost $100,000 and can be expected to last 5 years, with a salvage value of $10,000. Operating costs will be $24,000 per year. • Alternative 2: Convection oven will cost $140,

    Adding and Subtracting More Than Two Integers

    For problems 1-4, I need you to make sure the answers are correct. If the problem is incorrect, please provide a step by step solution. 1. 27 -31 = -4 2. -22 + (-34) = -56 3. -35+ 67 = +22 4. -47 -33 +25 = -55 For problems 5 and six I am not sure if I have interpreted the answers correctly. Please with the in

    Solving quadratic equations and systems of linear equations

    Solve: (y - 3/4)^2 = 17/16 Solve. Try factoring first. If factoring is not possible or is difficult, use the quadratic formula. 1/x + 1/x+6 = 1/5 A merchant has two kinds of paint. If 9 gal of the inexpensive paint is mixed with 7 gal of the expensive paint, the mixture will be worth $19.70 per gallon. If 3 gal of the ine