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# Basic Algebra

### Algebra - Word Problem Equation

Set up the equation needed to solve the problem. 1. A rectangular garden has dimensions of 25 feet by 19 feet . A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 672 square feet? 2. The area of a square is 81 square centimeters . If the same amount is add

### Algebra - Truth Table

Choose the correct conclusion and why. Choose the one alternate that best completes the statement or answers the question. 1. As a special promotion, the Green Thumb organic foods chain said that everyone who came to one of their stores between noon and 1pm on January 4 would be offered a free loaf of 23-grain bread. They di

### Revenue - 1. In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how ...

1. In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or

### Graphs, Equations, inequalities and Algebraic operations. Twenty problems in all.

1. Find the domain of the function. 8 G(x)= _____ 4 - 3X Choose the correct domain below. (a) {x | x does no equal 43} (b) (b) {x | x does not equal 8} (c) {x | x does not equal 0} (d) {x | x >_ 4/3} (>-_) means grater than or equal to *

### Review examples 2, 3, and 4 in section 8.4 of the text - Blending Flower Seeds. Tara's website, Garden Edibles, specializes in the sale of herbs and flowers for colorful meals and garnishes. Tara ...

Review examples 2, 3, and 4 in section 8.4 of the text. How does the author determine what the first equation should be? What about the second equation? How are these examples similar? How are they different? Find a problem in the text that is similar to examples 2, 3, and 4. EXAMPLE 2 Blending Flower Seeds. Tara's website

### Algebra Multi-Step Word Problem

Problem: In 1960 the United States generated 87.1 million tons of municipal solid waste and recovered (recycled) only 4.3% of it. The amount of municipal solid waste generated in the United States can be modeled by the formula w=3.14n + 87.1 while the amount recovered can be modeled by the formula w=0.567n + 3.78 where w is in m

### Integer operations, basic algebra problems

See attached for formatting: 1. Which of the following numbers are integers? 2. Place the following set of numbers in ascending order. A) B) C) D) 3. Carlos works 8.25 h and receives \$102.30 pay. What will he receive at the same rate if he works if he works 14 h? A) \$158.10 B) \$173.60 C) \$

Adjusting Antifreeze. Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropriate amount of a 40% antifreeze solution. How many quarts of each should she use? Building a ski ramp. Write an inequality in the variable x for the degree measure

### Algebra equations - 1. Determine whether the graphs of the two lines are parallel Y+1=6x; 3x-y= -1 ... [See the attached Question File.]

1. Determine whether the graphs of the two lines are parallel Y+1=6x 3x-y= -1 2.Find an equation of the line having the given slope and containing the given point express your answer in the form x=a, y=b, or y=mx+b m=-4 (2,0) 3.Find an equation of the line containing the given pair of points (1,5) (3,6) 4.Graph

### Algebra - Numbers and Integers

1 Which of the following numbers are integers? 3,2/3 -3,101.1, -5/7 2.Place the following set of numbers in ascending order. -2/5,1/6,7/8,-5/9,3/4 3.Carlos works 8.25 h and receives \$102.30 pay. What will he receive at the same rate if he works if he works 14 h? 4.Evaluate |-14]- 5.Subtract 7/9-(-1

### The solution to algebra equations

1. solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent. x+y=10 x-y=4 2. solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent. 2x-y=19 2x+3

### Algebra - Compound Statements

Convert the symbolic compound statement into words. a. p represents the statement " It's raining in Chicago." q represents the statement " It's windy in Boston." Translate the following compound statement into words. p v q b.p represents the statement " It's Monday." q represents the statement" It's raining toda

### Solving Inequalites - Soybean meal is 12% protein, cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240lbs mixture. ...

6. Soybean meal is 12% protein, cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240lbs mixture. How many pounds of the cornmeal should be in the mixture? ____Pounds How many pounds of soybean meal should be in the mixture? _____Pounds 16. The perimeter of a rectangle is 15

### Calculus Problem Set - Graph the function. Describe briefly in words the interesting features of the graph including the location of critical points and where the function is increasing/decreasing. Then use derivative and algebra to explain the shape of the graph. ... [See the attached Question File.]

#1 Graph the function. Describe briefly in words the interesting features of the graph including the location of critical points and where the function is increasing/decreasing. Then use derivative and algebra to explain the shape of the graph. f(x) = x3 - 6x +1 The graph is increasing crossing the x-axis at about x=-2.

### Solving Basic Algebra Word Problem

Solve the problem using algebra. 1 Find the Celsius temperature(to the nearest degree when Fahrenheit temperature is 9 degrees by solving the equation 59= 9/5 C +32, where F is the Fahrenheit temperature (in degrees and C is the Celsius temperature. 2. A square plywood platform has a perimeter which is 7 times the length of

### How can you tell what are the solutions of a quadratic equation by looking at its graph?

How can you tell what are the solutions of a quadratic equation by looking at its graph? Explain.

### Real Numbers re-check

Math real number system 1. Place the following set of numbers in ascending order. -2/5,1/6,7/8 -5/9,3/4 2. Which of the following numbers are integers? 11/3,9.7,-163,-3/8,1 3. Determine the maximum and minimum values of the following set of numbers. 36/7,-1,-2/3,-5,26/9 4. Evaluate [-14]

### Algebra - Equivalent Expression

1) Find an equivalent expression using the distributive law. ... 2) Find the distance on the number line between -12 and -10. ... 3) Simplify using the laws of exponents. ... 4) Evaluate the expression using the order of operations. ... ... [See the attached question file].

### Multiplying and Dividing of Real Numbers

9.4: Multiply. 70. (-3)(-6) + (4)(-2) 80. (-3)3 -(-8)(-2) 82. (-6)2-(-4)2 2 2 88.-9 -(-6) __________________________________________________________________________ 9.5 Perform the indicated operations. 32. (-9)(5) ________ -3 58. 16 /(-2)*(-4 ____________

### College Algebra

3x-2(a-3)=4x-b-a -3/4t =1/2

### Revised - 8 Intro. Algebra Equations and 4 Problems1. Population of Mexico. In 2004 the population of Mexico was 106.5 million. If Mexico's population continues to grow at an annual rate of 1.43%, then the population in 2015 will be 106.5(1.0143)11 million. ...2. Forensics. A forensic scientist uses the expression 72.6 _ 2.5T to estimate the height in centimeters of a female with a tibia of length T centimeters. If a female skeleton ...[See the attached Question File.]

Algebra Problems - 1. Population of Mexico. In 2004 the population of Mexico was 106.5 million. If Mexico's population continues to grow at an annual rate of 1.43%, then the population in 2015 will be 106.5(1.0143)11 million. ... 2. Forensics. A forensic scientist uses the expression 72.6 _ 2.5T to estimate the height in cen

### Fizz fizz soda comes in two varieties

Fizz fizz soda comes in two varieties, regular and diet. If a researcher has 8 boxes of each, how many ways can he select 2 boxes of each for a quality control test? Which answer would be correct? 784 224 447 16

### solve linear equations for word problems

Please help with these problems.. Solve the equation and check your answer, if possible, in the original equation. Show all work, including the check Solve the inequality and graph the solution set on a number line: 6) Solve the equation and check your answer, if possible, in the original equation. Show all work, incl

### Equations for word problems

1. The president of a certain university makes three times as much money as one of the department heads. If the total of their salaries is\$ 200.000, find each worker's salary 2. Including a 6.1% sales tax, a diamond ring sold for \$ 2,864.70. Find the price of the ring before the tax was added.( round to the nearest cent).

### Assorted Algebra Problems on Solving equations and inequalities

Please see attached for formatting. 1. 3y - 9 =3x 2. Translate to an inequality, use the variable x. The amount of acid is not to exceed 400 liters. 3. Skip 4. Skip 5. -16x > -80 6. 5x + 2 - 4x < 11 the solution set is {x l x < } 7. 5y - 10 < 4y - 7 the solution set is {y l y < } 8. Find the slope if it exists, y

### Detailed description of Logarithmic functions

Logarithmic functions have an interesting history. Although John Napier is credited for popularizing logs, there are earlier developments that include another mathematician who developed logs earlier and independently. Furthermore, logarithms became especially important for allowing difficult calculations prior to the developmen

### Algebra word problems - (1) Stephanie, the Team Manager of a soccer team, purchases many soccer balls from a retailer and sells them to all the players at her soccer club at a price of x dollars each. She can sell 600 - 15x balls per week. Find a polynomial ... [See the Attached Questions File.]

(1) Stephanie, the Team Manager of a soccer team, purchases many soccer balls from a retailer and sells them to all the players at her soccer club at a price of x dollars each. She can sell 600 - 15x balls per week. Find a polynomial ... (2) One side of a rectangular backyard is 2 meters longer than the other. If the diagona

### Exponential and Logarithmic functions - The bacteria Escherichia coli are commonly found in the human bladder. Suppose that 3000 of the bacteria are present at time t-0. Then t minutes later, the number of bacteria present can be approximated by:N(t) = 3000(2)^t/20. How many bacteria will be present after 10 min? 20min? 30 min? 40 min? 60 min?

The bacteria Escherichia coli are commonly found in the human bladder. Suppose that 3000 of the bacteria are present at time t-0. Then t minutes later, the number of bacteria present can be approximated by: N(t) = 3000(2)^t/20. How many bacteria will be present after 10 min? 20min? 30 min? 40 min? 60 min?

### Solving Amount of Neck Warmers Sold Using Algebra

Mountainside Fleece sold 40 neck warmers. Solid-color neck warmers sold for \$9.90 each and print ones sold for \$12.75 each. In all, \$421.65 was taken in for the neck warmers. How many of each type were sold?

### Mathematics - Algebra [Dividing a polynomial by a binomial]

How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school? Can understanding how to do one kind of division help you with understanding the other kind? What are some examples from real life in which you might use polynomial division?