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# Basic Algebra

### Introductory Mathematics

These problems are labeled as Natural numbers, Prime numbers, Integers, Rational numbers, Irrational numbers, Groups Felds and Real numbers, Discrete Mathematics,and Crytography. p.188 #26 Classify as an example of the commutative property, the associative property, or both: (3+5)+(2+4)=(3+4)+(5+2) p.188 #30 Think of thre

### College Algebra

O For noninteger answers, please write your answer as a fraction rather than a decimal. To show your work, you will need to include o the algebra used to compute the solution to any equations. o the formula with substituted values. o the final calculated answer with units.

### Polynomial, rational, exponential and logarithmic functions and graph

To exercise your skills, you are to perform the following using different tools available to you (e.g. Excel spreadsheet, graphing calculator, etc.) and write and explanation on your findings: The graph of: f(x)= 0 The graph of: f(x) = a0 , where a0 &#8800; 0 The graph of: f(x) = a0 + a1x , where a1 &#8800; 0 For each o

### Graphing and describing three functions

Your manager is very please with your presentations and being able to show your calculations in a detailed fashion. He has asked that you help him prepare for the upcoming company summit. Before you get together, he has asked that you give him a little review on polynomial functions and how you would apply them to everyday use.

### Algebra : Solving Equations from Word Problems

Find the average weight in pounds of a type of bird of your choice. Use the rational exponent equation L = 2.43 * W^0.3326 to estimate the wingspan L in feet of the bird that weighs W pounds (Rockswold, 2006). Include in your post the type of bird and the average weight and show the calculations necessary to find the approximate

### College Algebra: Radical and Rational Exponents

o For noninteger answers, please write your answer as a fraction rather than a decimal. To show your work, you will need to include o the algebra used to compute the solution to any equations. o the formula with substituted values. o the final calculated answer with units. Please see attac

### Finding Real Zeros

1. P(x)= 2x^4 + 15x^3 + 17x^2 + 3x -1 Find all real zeros. 2. P(x)= 8x^3 + 10x^2 - 39x + 9; a=-3,b=2 Show that the given values for a and b are lower and upper bounds for the real zeros of the polynomial. 3. P(x)= x^3 - 3x^2 + 4 Find integers that are upper and lower bounds for the real zeros of the polynomial. 4. P(

### Factoring and Solving Equations and Inequalities

1. Factor the polynomial 88 x^6 y^6 + 16 x^3 y^4 - 8 x^5 y^3, if possible. 2. Factor 5 x^2 + 5 x y + 8 x + 8 y by grouping. 3. Factor the polynomial. 256 a^4 - 81 b^4 4. Solve the equation. x 2 + 11 x + 30 = 0 5. Do the operations and simplify. (x^2 + 4x + 4)/(x) . (x^2 - 2x)/(x^2 - 4) 6. Si

1. According to Einstein's theory of relativity, time passes more quickly for bodies that travel very close to the speed of light. The expression (c is the speed of light, and v is the speed of the traveling body) gives the aging rate compared to the time spent on earth. For example, if the aging rate for someone traveling ver

1. Solve the equation. x^2 + 8 x + 15 = 0 2. Write the equation x(x - 7) + 10 = 0 in quadratic form and then solve it by factoring. 3. Solve the equation by using factoring. 3 x^3 - 192 x = 0 4. Use factoring to solve the equation. 8 x^ 2 + 16 x = 0 5. Use factoring to solve the equation. 4 y^2 - 4 = 0 6. Use

### Powers and Exponents Word Problems

1) Find the value of 18, 19, and 110. What can you say about the value of any power of 1? Explain the reasoning. 2) A solar-powered water pump system in Desert Range, Utah, has two solar panels, each containing 6 rows of modules. Each row has 6 modules. How many modules are in each panel? Write the answer as a power.

Please see attachment for full descriptoin. 1) Solve the following by factoring: a) x^2 + 7x + 10 = 0; b) 3x^2 - 6x = 0 2) if f(x) = 2x^2 -7x + 3, find a) f(2); b) f(-3) 3) solve 2x^2 - 3x - 2 = 0 using the quadratic formula. 4) Use the graph of y = -x^2 + 4x + 5 to answer the following: a) Usi

### Basic Algebra

Please see attached file for full problem descriptions. 1. Reduce each expression to lowest term. Perform the indicated operation. 2. Henry sold 120 mags subscription in x + 2 days. If he sold at the same rate for another week, then how many magazines did he sell in the extra week? Find the LCD for the given rational

### Line Equations and Inequalities

1. Plot at least 5 points. 2. Find the slope and y intercept for each line that has a slope and y intercept. 3. Find if lines are parallel, perpendicular or neither. 4. Marginal revenue: A defense attorney charges her client \$4000 plus \$120 per hr. Formula R=120n+4000 gives her revenue in dollars

### Algebra : Solving Equations and Word Problems

1. Solve by factoring: x^2 - 9x = -8 2. Solve using the square root property: 2x^2 - 5 = 93 3. Solve using the square root property: (x + 4)^2 = 81 4. Solve by completing the square: x^2 + 6x + 2 = 0 5. Solve using the quadratic formula: x^2 - 3x = -6x - 1 6. Solve using th

### Algebra : Simplification and Word Problems

1. Factor: x^3y + 2x^2y^2 + xy^3 2. Solve the equation: 2h^2 - h - 3 = 0 3. Solve the equation. 2w (4w + 1) = 1 4. Solve the equation. M^3 + 2m^2 - 3m = 0 5. Solve the equation. 1/18 h^2 - ½ h + 1 = 0 6. Rectangular stage. One side of the rectangular stage is 2 meters longer than the other. If th

### Operations with polynomials and radicals

1. Do the operations and simplify. (a^-2b^3)/(x^-8y) . (a^6b^2)/(x^8y^4) 2. Do the operations and simplify. (x^2 + 8x + 16)/(x) . (x^2 - 4x)/(x^2 - 16) 3. Do the operations and simplify. (a + 5)/(25 - a^2) . (5a - 25)/(5a + 25) 4. Simplify the expression. (x2 - 36)/(x^2 - 64) ÷ (x + 6)/(x - 8) 5

### Simplify Rational Expressions

1. Simplify the rational expression (6x - 8)/(8 - 6x) 2. Evaluate the expression f(x) = (3x + 2)/ (x) for x = 4 3. The average (mean) cost for a service club to publish a directory of its members is given by the rational function. f(x) = (1.5x + 700)/x where x is the number of directories printed. Find the averag

### Solve an algebraic equation

Suppose you are at a gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation: C(g) = 3.03 (g) C(2)=6.06 C(9) = 27.27 For the average motorist can you name one value for g that would be inappropriate for this function's purpose. Can y

### Algebra Word Problems and Constant of Variation

1. For a healthy flamingo, the length of the legs is directly proportional to the total height of the bird. A healthy flamingo, which is 48 inches tall, has legs that are 32 inches long. a. Write a formula, using only variables, that could be used to determine the constant of variation. b. Find the constant of variation

### Algebra Questions

For non-integer answers, please write your answer as a fraction rather than a decimal. To show your work, you will need to include the algebra used to compute the solution to any equations the formula with substituted values. MTH133 Unit 1 Individual Project - B Name: 1) Solve the following: a) 2x + 5 = 9 A

### Simplifying Rational and Radical Expressions

1. Simplify the rational expression: 2x^2 - 12x + 18/2x^2 - 18 2. Divide: x^2 - 9x + 20/3x - 15 ÷ x^2 - 16/9x + 36 3. Simplify: &#8730;[81x^12y^8z^10] 4. Perform the indicated operations: 2&#8730;[48] + 7&#8730;[12] -&#8730;[27] 5. Multiply: (&#8730;[6] + 2&#8730;[2])(4&#8730;[6] - 3

### GCF and Factoring

1. Find the GCF of the set of monomials of 252, 468 2. Factor the polynomial 35 y + 14, if possible. 3. Factor the polynomial 7 a ^6 b ^7 c^ 5 - 35 a ^7 b ^5 c ^6, if possible. 4. Factor the expression 2(x + y) - 19 t(x + y). 5. Factor 17 x ^2 + 17 x y + 2 x + 2 y by grouping. 6. Factor the polynomial. 25

### Basic Algebra Problems: Factoring Polynomials

1. Which one is a prime number of 330. a. 11*3*5*2 b. 33*5*2 c. 11*3*10 d. 3*5*2 2. Find the GCF of the set of monomials of: 528, 624 a. 48 b. 50 c. 528 d. 624 3. Factor out the negative of the greatest common factor of: -4b + 20 4. Factor the polynomial: 81a^8b^4c^8 - 4d^10 5. Factor the polynomial:

### Algebraic expressions of the production function

#2) Following are different algebraic expressions of the production function. Decide whether each one has constant, increasing, or decreasing returns to scale. a. Q = 75L0.25 K0.75 b. Q = 75A0.15 B0.40 C0.45 c. Q = 75L0.60 K0.70 d. Q = 100+50L+50K e. Q = 50L+50K+50LK f. Q = 50L2 + 50K2 g. Based on the answers for the

### factoring polynomial.

Make sure to superscript all exponents. If you believe that a polynomial is not factorable, label it as prime. Show all stages of factoring separately (i.e., show the result of factoring out a GCF before taking the resulting polynomial and factoring it again). 1. Factor completely: x5y3 - 9x4y2 + 20x3y 2. Factor comple

### Algebra Problems

1. Simplify and evaluate: (42x3y-2z-3/x-5y8z-9)2 2. Convert to scientific notation (here you may use x as multiplication): 0.00083 3. For f(x) = 6x - 7, find f(2). 4. Perform the indicated operations: (-x2 - 6x + 3) - (-9x2 + x - 1) - (x2 + 5x - 2) 5. Use FOIL to multiply: (8x - 1)(2x + 5) 6. Multiply: (x4 -

### Solving Systems of Equations using a Matrix Method

A company's employees are working to create a new energy bar. They would like the two key ingredients to be peanut butter and oats, and they want to make sure they have enough carbohydrates and protein in the bar to supply the athlete. They want a total of 22 carbohydrates and 14 grams of protein to make the bar sufficient. Usi