Problem 1CVC: 1. An equation in the form , such as , is called a/an ____ equation in one variable.
Problem 2CVC: 2. Two or more equations that have the same solution set are called ___ equations.
Problem 3CVC: The first step in solving 7+3(x2)=2x+10 is to ____. Problem 4CVC: 4. The fractions in the equation
can be eliminated by multiplying both sides by the ____ of and ,... Problem 5CVC: 5. We reject any proposed solution of a rational equation that causes a denominator to equal ____.
Problem 6CVC Problem 7CVC: 7. The first step in solving
is to multiply both sides by ____.
Problem 8CVC: The restrictions on the variable in the rational equation 1x22x+4=2x1x2+2x8 are ____ and ____. Problem 9CVC: 9.
The resulting equation cleared of fractions is ____.
Problem 10CVC Problem 11CVC Problem 1E Problem 2E Problem 3E: In Exercises 1-16, solve and check each linear equation. 7x5=72 Problem 4E: In Exercises 1-16, solve and check each linear equation.
2.
Problem 5E Problem 6E Problem 7E: In Exercises 1-16, solve and check each linear equation. 11x(6x5)=40 Problem 8E: In Exercises 1-16, solve and check each linear equation. 5x(2x10)=35 Problem 9E Problem 10E Problem 11E: In Exercises 1-16, solve and check each linear equation. 2x7=6+x Problem 12E: In Exercises 1-16, solve and check each linear equation. 3x+5=2x+13 Problem 13E: In Exercises 1-16, solve and check each linear equation.
7.
Problem 14E: In Exercises 1-16, solve and check each linear equation. 13x+14=12x5 Problem 15E Problem 16E Problem 17E Problem 18E Problem 19E: In Exercises 1-16, solve and check each linear equation.
9.
Problem 20E: In Exercises 1-16, solve and check each linear equation.
10.
Problem 21E: In Exercises 1-16, solve and check each linear equation. 3(x4)4(x3)=x+3(x2) Problem 22E: In Exercises 1-16, solve and check each linear equation. 2(7x+5)=133x Problem 23E: In Exercises 1-16, solve and check each linear equation. 16=3(x1)(x7) Problem 24E: In Exercises 1-16, solve and check each linear equation. 5x(2x+2)=x+(3x5) Problem 25E: In Exercises 1-16, solve and check each linear equation. 25[ 2+5y3(y+2) ]=3(2y5)[ 5(y1)3y+3 ] Problem 26E: In Exercises 1-16, solve and check each linear equation.
16.
Problem 27E: Exercises 17-30 contain linear equations with constants in denominators. Solve each equation.
17.
Problem 28E Problem 29E: Exercises 17-30 contain linear equations with constants in denominators. Solve each equation.... Problem 30E Problem 31E: Exercises 17-30 contain linear equations with constants in denominators. Solve each equation.
21.
Problem 32E: Exercises 17-30 contain linear equations with constants in denominators. Solve each equation.
22.
Problem 33E: Exercises 17-30 contain linear equations with constants in denominators. Solve each equation.... Problem 34E Problem 35E: Exercises 17-30 contain linear equations with constants in denominators. Solve each equation.... Problem 36E Problem 37E: Exercises 17-30 contain linear equations with constants in denominators. Solve each equation.
27.
Problem 38E Problem 39E: Exercises 17-30 contain linear equations with constants in denominators. Solve each equation.... Problem 40E Problem 41E: Exercises 31-50 contain rational equations with variables in denominators. For each equation, a.... Problem 42E Problem 43E: Exercises 31-50 contain rational equations with variables in denominators. For each equation, a.... Problem 44E: Exercises 31-50 contain rational equations with variables in denominators. For each equation, a.... Problem 45E: Exercises 31-50 contain rational equations with variables in denominators. For each equation, a.... Problem 46E Problem 47E: Exercises 31-50 contain rational equations with variables in denominators. For each equation, a.... Problem 48E Problem 49E: Exercises 31-50 contain rational equations with variables in denominators. For each equation, a.... Problem 50E Problem 51E: 8xx+1=48x+1 Problem 52E Problem 53E: Exercises 31-50 contain rational equations with variables in denominators. For each equation, a.... Problem 54E Problem 55E: Exercises 31-50 contain rational equations with variables in denominators. For each equation, a.... Problem 56E Problem 57E: Exercises 31-50 contain rational equations with variables in denominators. For each equation, a.... Problem 58E: Exercises 31-50 contain rational equations with variables in denominators. For each equation, a.... Problem 59E: Exercises 31-50 contain rational equations with variables in denominators. For each equation, a.... Problem 60E Problem 61E Problem 62E Problem 63E Problem 64E: In Exercises 51-56, find all values of x satisfying the given conditions. y1=x+14,y2=x23, and... Problem 65E: In Exercises 51-56, find all values of x satisfying the given conditions.... Problem 66E: In Exercises 51-56, find all values of x satisfying the given conditions.
56. , and
.
Problem 67E Problem 68E Problem 69E Problem 70E Problem 71E: In Exercises 61-68, solve each equation. Then determine whether the equation is an identity, a... Problem 72E: In Exercises 61-68, solve each equation. Then determine whether the equation is an identity, a... Problem 73E: In Exercises 61-68, solve each equation. Then determine whether the equation is an identity, a... Problem 74E Problem 75E: In Exercises 61-68, solve each equation. Then determine whether the equation is an identity, a... Problem 76E Problem 77E Problem 78E Problem 79E: The equations in Exercises 69-80 combine the types of equations we have discussed in this section.... Problem 80E Problem 81E: The equations in Exercises 69-80 combine the types of equations we have discussed in this section.... Problem 82E Problem 83E Problem 84E: The equations in Exercises 69-80 combine the types of equations we have discussed in this section.... Problem 85E Problem 86E Problem 87E Problem 88E Problem 89E Problem 90E Problem 91E: In Exercises 81-84, use the Y= screen to write the equation being solved. Then use the table to... Problem 92E: In Exercises 81-84, use the screen to write the equation being solved. Then use the table to solve... Problem 93E: In Exercises 81-84, use the Y= screen to write the equation being solved. Then use the table to... Problem 94E: In Exercises 81-84, use the Y= screen to write the equation being solved. Then use the table to... Problem 95E Problem 96E Problem 97E Problem 98E Problem 99E Problem 100E Problem 101E: In Exercises 89-96, solve each equation. 512x=87x[ 63(2+53)+5x ] Problem 102E: In Exercises 89-96, solve each equation. 2(5x+58)=10x+4(213.511) Problem 103E Problem 104E Problem 105E Problem 106E Problem 107E Problem 108E Problem 109E Problem 110E Problem 111E Problem 112E Problem 113E: Formulas with rational expressions are often used to model learning. Many of these formulas model... Problem 114E: Formulas with rational expressions are often used to model learning. Many of these formulas model... Problem 115E: A company wants to increase the 10% peroxide content of its product by adding pure peroxide (100%... Problem 116E: Suppose that x liters of pure acid are added to 200 liters of a 35% acid solution. a. Write a... Problem 117E: Explaining the Concepts What is a linear equation in one variable? Give an example of this type of... Problem 118E: Suppose that you solve x5x2=1 by multiplying both sides by 20 rather than the lead common... Problem 119E: Suppose you are an algebra teacher grading the following solution on an examination:... Problem 120E: 110. Explain how to find restriction on the variable in a rational equation.
Problem 121E: 111. Why should restrictions on the variable in a rational equation he listed before you begin... Problem 122E: 112. What is an identify? Give an example.
Problem 123E: 113. What is a conditional equation? Give an example.
Problem 124E: What is an inconsistent equation? Give an example. Problem 125E: 115. Describe the trend shown by the graph in Exercises 103-104 in terms of learning new tasks. What... Problem 126E: Technology Exercises In Exercises 116-119, use your graphing utility to enter each side of the... Problem 127E: Technology Exercises In Exercises 116-119, use your graphing utility to enter each side of the... Problem 128E: Technology Exercises In Exercises 116-119, use your graphing utility to enter each side of the... Problem 129E: Technology Exercises In Exercises 116-119, use your graphing utility to enter each side of the... Problem 130E Problem 131E: Make Sense? In Exercises 120-123, determine whether each statement makes sense or does not make... Problem 132E: Make Sense? In Exercises 120-123, determine whether each statement makes sense or does not make... Problem 133E: Make Sense? In Exercises 120-123, determine whether each statement makes sense or does not make... Problem 134E: In Exercises 124-127, determine whether each statement is true or false. If the statement is false,... Problem 135E: In Exercises 124-127, determine whether each statement is true or false. If the statement is false,... Problem 136E: In Exercises 124-127, determine whether each statement is true or false. If the statement is false,... Problem 137E: In Exercises 124-127, determine whether each statement is true or false. If the statement is false,... Problem 138E: 128. If x represents a number, write an English sentence about the number that results in an... Problem 139E: 129. Find b such that has a solution set given by .
Problem 140E: Find b such that 4xbx5=3 has a solution set given by . Problem 141E: Preview Exercises Exercises 131-133 will help you prepare for the material covered in the next... Problem 142E Problem 143E format_list_bulleted