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# Basic Algebra

### Algebra Exercises - 1. Donna invested her \$33,000 bonus and received a total of \$970 in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did she invest at each rate? 2. Write a system of two equations in two unknowns for each problem. Solve each system by substitution. See Examples 7 and 8. ... [See the attached questions files.]

Please have a look to the attached word document with several algebra exercises. Section 7.1 Exercise 76 - Page 451 Write a system of two equations in two unknowns for each problem. Solve each system by substitution. See Examples 7 and 8. 76. Investing her bonus. Donna invested her \$33,000 bonus and received a total of

### Solving Applied Problems: Two Equations

See the attached question file. 1. How does the author determine what the first equation should be? 2. What about the second equation? 3. How are these examples similar? 4. How are they different? Find a problem in the text that is similar to examples 2, 3, and 4. 1. Post the problem for your classmates to solve.

### Logarithms in Algebra

1. "Loudness" is measured in decibels, DB. I = I0 * 10 DB/10 (also typed as I =I0*10^(DB/10))gives the intensity,I,of sound, where I0 is the intensity of the threshold of sound, or the sound that can barely be perceived. ... 2. Is log(ab)=log(a) log(b) a true statement? Choose any positive values for a and b and then compute

### Math

File is attached. 1) Use rational exponents to simplify. 2) Simplify by factoring. Assume that all expressions under radicals representing nonnegative numbers. sqrt(50a^2*b) 3) Find a polynomial for the perimeter and for the area. The top of the rectangle is n+4, the right side is n. The perimeter is ? (Simplify your

### Algebra

1) If the sides of a square are lengthened by 5cm, the area becomes 81cm^2. Find the length of a side of the original square. 2) Use rational exponents to write x^1/8*y^1/3*z^1/6 as a single radical expression.

### Algebra - Rational Equations

1. The speed of train A is 10 mph slower than the speed of train B. Train A travels 230 miles in the same time it takes train B to travel 280 miles. Find the speed of each train. 2. The Office Jet printer can copy Maria's dissertation in 8 min. The Laser Jet printer can copy the same documents in 22 min. If the two machines wor

### Order of Operations for Algebraic Expressions

1. Why is it necessary to study the order of operations and the laws of operations before you start solving equations? 2. Of the three laws, commutative, associative, and distributive, which one is most frequently used in algebra? Why? 3. How does a term differ from a factor? 4. When adding or subtracting expressions,

### Rational Numbers - 1. Classify the given numbers as real and rational, real and irrational, or complex. ... 2. a) Select any irrational number, and turn it into a rational number by using addition, subtraction, multiplication, division, or exponentiation. ... [See the attached questions file.]

Assignment 1: Irrational, Real, and Complex Numbers 1. Classify the given numbers as real and rational, real and irrational, or complex. a. (4)1/2 + 2 b. 6+0i c. 30007.413 d. 3i e. 2-(-9)_ i f. (80)1/5 g. 1 h. (16)1/4 Rational Number Irrational Number Complex Number 2. a) Select any irrational number,

### Difference between an index and a discrete logarithm

What is the difference between an index and a discrete logarithm?

### Calculations needed to find the approximated inflated rate of C after 5 years.

Using web resources, and/or other materials, find the most recent report of the annual inflation rate of a country of your choice as well as the type of currency used in that country. The equation also typed as S=C(1+r/100)^5 to find the inflated cost S, in 5 years, of an item, good or service, where C is the current price o

### Practice Problem - Your group will 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. .... [See the attached questions file.]

Your group will 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. Name of town: _

### Algebra Exercises

Please have a look to the attached word document with several algebra exercises. Section 3.1 Exercise 92- Page 179 Solve each problem. See Example 8. 92. Dental services. The national cost C in billions of dollars for dental services can be modeled by the linear equation where n is the number of years since 1990

### College Algebra Functions

I need help answering these questions. I have attached the questions that I need help with. Please explain your answers in detail. 1. Given f(x) = 3x + 5, find f(a - 1). A) 3a + 2 B) 3a + 4 C) a + 7 D) a + 2 2. Graph f(x) = 3x + 2. A) B) C) D) 3. Rewrite the equation 4x - 10y = 11 as a functio

### If a manufacturer charges 'p' dollars each for shirts, then he expects to sell 2000-100p shirts per week. What polynomial represents the total revenue expected for a week? How many shirts will be sold if the manufacturer charges \$20 each for the shirts. Find total revenue when the shirts are sold for \$20 each.

If a manufacturer charges 'p' dollars each for shirts, then he expects to sell 2000-100p shirts per week. What polynomial represents the total revenue expected for a week? How many shirts will be sold if the manufacturer charges \$20 each for the shirts. Find total revenue when the shirts are sold for \$20 each.

### Graphing Linear Inequalities: Discussion Questions

1.Your friend is taking an algebra class that began one week after ours. Explain to your friend how to graph linear inequalities with two variables. Include at least two examples. 2.When graphing a linear inequality, how do you know if the inequality represents the area above the line or below the line? 3.Which quadrant

### Several problems on properties of real numbers

Consider the following properties of real numbers: [1] Commutative Property of Addition [6] Commutative Property of Multiplication [2] Associative Property of Addition [7] Associative Property of Multiplication [3] Additive Identity Property [8] Multiplicative Identity Property [4] Additive Inverse Property [9] Multipl

### Algebra

See attached equations. 1. -1^2 2. solve the equation: 5/(y+4) - 8/(y-4) = 2/(y^2 - 16) 3. 7[7x - 7 + 4(x +1)] = -7x - 7 4. A rational expression is the ratio of two: 5. Determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 6. Find all values of x satisfying the given conditi

### Simplifying Rational Expressions

1. Find All numbers for which the rational expression is undefined ... 2. Simplify by removing factors of 1 ... 3. Multiply and simplify ... 4. Divide and simplify ... 5. Find LCM ... [See attached file for equations.]

### commutative and associative properties of multiplication

Use the commutative and associative properties of multiplication and exponential notation to rewrite the product. y(y _ 5)(wy) Use the distributive property to remove the parentheses. -3(6 - p) Simplify the following expression by combining like terms. 2a(a - 5) 4(a -5) Simplify expression. 1/4(6b+2 )- 2/3 (3b-2)

1, How do you compute the intercepts of a quadratic function?

### Algebra questions What is the number of x- and y intercepts that quadratic functions may have?

What is the number of x- and y intercepts that quadratic functions may have?

### Solving word problems by use of algebra

Please show all steps and please use the equation editor . thank you. Find all real or imaginary numbers to the equation. 1. Find the value of x 6x = -(19x+25)/(x+1) Find exact and approximate solutions to each problem. 2. Boxing Match . A boxing ring in the shape of a square , 20 feet on each side . How

### Discussion question - Find the gas mileage of your dream car or any car of your choice. Let x be the number of miles driven on 50 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 steps to solve. Include units with your answer. ...

Part 1: Find the gas mileage of your dream car or any car of your choice. Let x be the number of miles driven on 50 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 st

### The Hoylake Rescue Squad receives an emergency call every 1, 2, 3, 4, 5 or 6 hours

I need help for just problem number 1; it's about SIMULATION, subject with random table. Please see the attached file.

### Expressions and equations

Please provide an answer to the questions below that contains 250 to 300 words to each. 1.If a < b, then -a > -b, Why? Illustrate your reasoning with several examples. 2.How can you differentiate between an equation and an expression? Give several examples of each. 3.How does the knowledge of simplifying an express

### Abstract algebra

See attached Abstract Algebra Questions: 1. List 4 integers in [2] as an element in Z4 2. Using modular addition, circle+, compare your answers for Z5: [3] + [4] and Z6: [3] + [4]. 3. Repeat the question above using modular multiplication, circle_dot. 4. Construct a Cayley table for the group Z4 and, using the table, p

### Simplifying and Factoring Polynomials

See attached 5. The polynomial 0.041h - 0.018a - 2.69 can be used to estimate the lung capacity, in liters, of a female with height h, in centimeters, and age a, in years. Find the lung capacity of a 40 year old woman who is 170 centimeters tall. 17. The number N, in millions, of hearing impaired individuals of age x ca

### Discussion Question - Like and unlike term

When adding or subtracting expressions, how do you identify the like terms?

### Find the greatest common factor

Find the greatest common factor and factor by grouping (see attached) 1. Find the greatest common factor (GCF) of 18x and 15x 2. Find the greatest common factor (GCF) of 28 a b and 44 ab 3. Factor. Check by multiplying 4x + 36x= 4. Factor. Check by multiplying = 5. Factor. = 6. Factor by grouping. = 7. Fa

### Equations - Solve each system by substitution method. Determine whether the equations are independent, dependent, or inconsistent Solve each system by the addition method. [See the attached question file.]

Graph the following systems: Solve each system by substitution method. Determine whether the equations are independent, dependent, or inconsistent Solve each system by the addition method. [See the attached question file.]