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Basic Algebra

Factoring Equations Root Properties

A^2- 6a +9=0 Use the even -root property to solve each question x^2= 9/4 (x-3)^2=16 (w-3/2)^2=7/4 (w+2/3)^2=5/9 Find the perfect square trinomial whose first two terms are given. w^2-5w p^2+6/5p factor each perfect square trinomial. y^2-5y+25/4 t^2+3/5t+9/100 solve by complteing the square

Simplifying Expressions : Rules of Exponents

(3^-6)^1/3 simplify each expression assume the variables represent any real #s and use absolute value as necessary (y^3)^1/3 Simplify assume all variables represent positive #s write answer with positive exponents only w^1/3 / w^3 Simplify each expression right your answer with positive exponents assume that all

Coefficients of Quadratic Equations

Quadratic Equations Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as: 1. Integers 2. Rational numbers 3. Irrational numbers See attached file for full problem description.

Tangent Lines and Logarithmic / Exponential Functions

Tangent Line and Logarithmic/Exponential Functions This project is going to consider the relationship between a point (a, b) on the natural logarithmic and exponential functions and its relationship to the intercept of the tangent line to the respective functions at the point (a, b). Hint: Recall the distance between two

Equations for time and rate problems and their solutions

52. How can a graph be used to determine how many solutions an equation has? 8. Bobbi picks 1 qt in 20 minutes. Blanche picks 1 qt in 25 minutes. How long would it take them to pick one quart if they work together? 14. The speed of a freight train is 15 mph slower than the speed of a passenger train. The freight train tr

Solve: Simplifying Expressions

Simplify the following. Make sure to show all the steps involved. Expression: (3t^2 - 8t +3) + (-5t^2 + 4) - (t^2 + 5t - 3)

Algebra Word Problems

The payment sugar beet growers receive is based on the sucrose content of their delivered beets. A sample is taken from each load of beets and the sugar content in the beets is determined by polarimetry of the beet extract. In a typical situation 50 grams of pulverized beet tissue is homogenized with 360 mL of dilute aluminum

Solving Inequalities Word Problems

How do you solve the inequality (x + 1)(x - 6) < 0, and express the solution using interval notation. If an object is shot upward with an initial velocity of 240 feet per second so that its height s (in feet) above the ground after t seconds is given by s = -16t2 + 240t. For what values of t will the object be at least 416 f

Simplifying Expressions

Three problems: 3/2w + 7/2w a+7 9-5a ______ + _______ a-4 a-4 4h-3 h-6 ______ - ______ h(h+1) H(h+1)

Rational Expressions & Equations Series

See attached file for full problem description. Solve by factoring and using the principle of zero products. Remember to check. 2 30. - 9x + 14 = 0 2 34. x + 16x = 0 2 46. 3x - 7x = 20 2. The length of a rectangle garden is 4m greater than the width. The a

Vertical motion of a baseball under quadratic drag friction

Problem 1: Consider a two-dimensional problem in the xy-plane. There are two points in space, labeled as P and Q, as shown in the figure to the right a) Using polar coordinates, sketch on the figure at points P and Q the radial and azimuthal unit vectors. b) Write down a general expression for the radial and azimuthal unit

Algebra Word Problems

Jenny purchased a prepaid phone card for $20. The long distance calls cost 10 cents a minute using this card. Jenny used her card only once to make a long distance phone call. If her remaining credit on the card is $18.90. How many minutes did her call last?

Algebra Help

Solve by graphing. Indicate whether each system is independent, dependent or inconsistent. 1. y= 2x-1 x+y= 2 2. 2x-3y=12 3y-2x= -12 3. 3x-y=4 3x-y=0 Solve each system by the substitution method. Indicate whether each system is independent, dependent or inconsistent 4. x-y=3 3x-2y=3 5. 3y=x+5 3x-9y= -10 6

Algebra Questions

See attached file for full problem description. 1. Solve. 6x - 0.37 = 5(x - 0.28) 2. Identify the base in the statment "50% of 300 is 150." 3. Identify the rate in the statment " 260 is 52% of 500." 4. The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base.

Business Math: Which is the better method for calculating overtime?

(1) Sally worked 48 hours this week . Her overtime rate is 1.5 times the regular rate. When calculating gross pay with overtime, there are two options: Option 1. ( total regular hours X hourly rate ) + ( overtime hours X overtime rate ) = gross pay OR Option 2. ( total number of hours worked X the ho

Important information About Solving Equations and Word Problems

7(3x+4) = 8(2x+5) + 13 2(x-3) - 3(x+5) = 3(x-2) - 7 3x - 5(3x-7) = 2(x+9) + 45 Geometry: The length of a rectangular playing field is 5 ft less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field. Science and medicine: A bicyclist rode into the country for 5

Important information about Capacitive Reactance

Capacitive reactance X_c in an electrical circuit to an alternating current is given by: (Please see attached) where f is frequency of the current and C is capacitance of the circuit. Solve for f.

GRAPHS & SLOPES of line

1.Graph x+4Y=5 2. Graph x-2y=6 3. How do I find the slope of the line with points (0,0) (2,4) 4. How do I find the slope of the line with points (-3,1) (2,-2) 5. How do I graph the line with points & slope (-2,5) slope -1 6. How do I draw l1 (L sub 1) through (-4,0) (0,6) What is the slope of any line paral

Writing Equations from Word Problems

74. An algebraic equation is a complete sentence. It has a subject, a verb, and a predicate. For example, x + 2 = 5 can be written in English as "Two more than a number is five." Or. "A number added to two is five." Write an English version of the following equations. Be sure you write complete sentences and that the sentences e