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# Basic Algebra

### Intermediate Algebra Practice Problems

Intermediate Algebra - Practice Problems 1. Simplify 2a+5a-(6a+8) 2. Clear fractions or decimals, solve, and check 1.7t +8-1.62t=0.4t-0.32+8 3. Divide and check (24x^6 + 18x^4 + 8x^3) ÷ (4x^3) 4. Factor completely. If a polynomial is prime, state this 4x^2 - 25 5. Solve x^2 + 2x - 35 =0 25y^2 + 16 = 0 2

### Probability, Equations and Graphs

1. A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be an S, U or N. Each number must be a 3 or 5. Repetition of digits is permitted. a. Use the counting principle to determine the number of points in the sample space. b. Construct a tree diagram to represent this equati

### How long does it take for an investment to double in value if it is invested at 16% compounded quarterly?

How long does it take for an investment to double in value if it is invested at 16% compounded quarterly? Compounded continuously?

### Polynomial & Rational Functions.

When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -16t^2 + v*t + k gives the height of the ball at any time, t in seconds, where â??vâ? is the initial velocity (speed) in ft/sec and â??kâ? is the initial height in feet (as if you were on top of a tower or building). Make up a sc

### Polynomial & Rational Expressions

Part 1: Using the Library, web resources, and/or other materials, find a record-breaking temperature (in degrees Celsius) for a town or city in a country other than the United States. Include the name of the town and country along with the temperature, and what record was broken. Give the formula for converting degrees Celsius t

### Quantitive Methods

A company, sells and repairs old bicycles and parts for replacement. Sell reconstructed pictures at a unit price of \$ 50. The fixed cost of equipment for re construction of the tables is \$ 500. The variable unit cost of material for each table is \$ 10, in this example, s = 50, f = 500 v = 10. The number of boxes sold is = X. Cal

1. Solve by applying the Quadratic Formula; all radicals should be simplified as far as possible. Show your work. x2 + 4x + 13 = 0 2. 2. Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational soluti

### Step by step calculations for algebra problems

a. Section 2.1 Exercises: Problem 94 1 7 4 ——s + —— = ——s 3 9 3 b. Section 2.2 Exercises: Problem 80 5 ( x - 3 ) = - 15 c. Section 2.3 Exercises: Problem 50 - 4 - 5p = - 4p Problem62 4 - 5 (w + 2) = 2(w

### Height difference, diameter of a circle, perimeter of a rectangle

1. a red ball and a green ball are simultaneously tossed into the air. The red ball is given an initial velocity of 96 feet per second and its height t seconds after it is tossed is -16t to second power + 96 f feet. The green ball is given an initial velocity of 80 ft per second , and its height t seconds after it is tossed is

### Intermediate Algebra

Intermediate Algebra: 7.1 7.3 7.4 7.5 7.6 7.7 CT7Thank you for your help.

### Equation, linear inequality and slope

Define the term equation and then explain what it means to solve an equation. Give an example of an equation and its solution. Explain why it is the solution. Define the term linear inequality and then explain what it means to solve a linear inequality. Explain how the solution to the inequality 2x-5<25 differs from the solut

### 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

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).

### A person wants to find out which is cheaper: buying an yearly pass or a daily pass.

A person wants to find out which is cheaper: buying an yearly pass or a daily pass. The cost of the yearly pass is \$70.00 plus \$45.00 for parking. The cost of the daily pass is \$45.00 plus \$15.00/month for parking. At which point the price would be equal, if at all?

### 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