P Prerequisites 1 Equations, Inequalities, And Modeling 2 Functions And Graphs 3 Polynomial And Rational Functions 4 Exponential And Logarithmic Functions 5 Systems Of Equations And Inequalities 6 Matrices And Determinants 7 The Conic Sections 8 Sequences, Series, And Probability A Scatter Diagrams And Curve Fitting expand_more
1.1 Linear, Rational, And Absolute Value Equations 1.2 Constructing Models To Solve Problems 1.3 Equations And Graphs In Two Variables 1.4 Linear Equations In Two Variables 1.5 Quadratic Equations 1.6 Miscellaneous Equations 1.7 Linear And Absolute Value Inequalities Chapter Questions expand_more
Problem 1FT: True or False? Explain. The number 3 is in the solution set to 5(4– x) = 2x –1 Problem 2FT: True or False? Explain. The equation 3x –1 = 8 is equivalent to 3x –2=7. Problem 3FT: True or False? Explain. The equation is equivalent to x = – 2. Problem 4FT: True or False? Explain. The solution set to x – x = 7 is the empty set. Problem 5FT: True or False? Explain.
5. The equation 12x = 0 is an inconsistent equation.
Problem 6FT: True or False? Explain. The equation x – 0.02x= 0.98x is an identity. Problem 7FT: True or False? Explain. The equation |x| = –8 is equivalent to x = 8 or x = –8. Problem 8FT: True or False? Explain.
8. The equations and x = 5 are equivalent.
Problem 9FT: True or False? Explain. To solve we should multiply each side by . Problem 10FT: True or False? Explain. If a and b are real numbers, then ax + b = 0 has a solution. Problem 1E: Fill in the blank.
1. A statement that two algebraic expressions are equal is a(n)_______.
Problem 2E: Fill in the blank. An equation of the form ax + b = 0 with a ≠ 0 is a(n) _________ equation. Problem 3E Problem 4E Problem 5E Problem 6E Problem 7E Problem 8E Problem 9E: Determine whether each given number is a solution to the equation following it. 3, 2x – 4 = 9 Problem 10E: Determine whether each given number is a solution to the equation following it. − 2 , 1 x − 1 2 = −... Problem 11E: Determine whether each given number is a solution to the equation following it.
11. –3, (x –1)2 =... Problem 12E: Determine whether each given number is a solution to the equation following it.
12.
Problem 13E: Solve each equation and check your answer. 3x – 5 = 0 Problem 14E: Solve each equation and check your answer.
14. –2x + 3 = 0
Problem 15E: Solve each equation and check your answer. –3x + 6 = 12 Problem 16E Problem 17E: Solve each equation and check your answer.
17. 8x – 6 = 1 – 6x
Problem 18E Problem 19E Problem 20E: Solve each equation and check your answer. –3(x –5) = 4 – 2x Problem 21E: Solve each equation and check your answer. Problem 22E Problem 23E: Solve each equation and check your answer. Problem 24E: Solve each equation and check your answer.
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Problem 25E Problem 26E Problem 27E: Solve each equation. Identify each equation as an identity, an inconsistent equation, or a... Problem 28E: Solve each equation. Identify each equation as an identity, an inconsistent equation, or a... Problem 29E Problem 30E Problem 31E: Solve each equation. Identify each equation as an identity, an inconsistent equation, or a... Problem 32E Problem 33E: Solve each equation. Identify each equation as an identity, an inconsistent equation, or a... Problem 34E Problem 35E Problem 36E: Solve each equation. Identify each equation as an identity, an inconsistent equation, or a... Problem 37E: Solve each equation involving rational expressions. Identify each equation as an identity, an... Problem 38E: Solve each equation involving rational expressions. Identify each equation as an identity, an... Problem 39E Problem 40E: Solve each equation involving rational expressions. Identify each equation as an identity, an... Problem 41E Problem 42E: Solve each equation involving rational expressions. Identify each equation as an identity, an... Problem 43E: Solve each equation involving rational expressions. Identify each equation as an identity, an... Problem 44E: Solve each equation involving rational expressions. Identify each equation as an identity, an... Problem 45E: Solve each equation involving rational expressions. Identify each equation as an identity, an... Problem 46E: Solve each equation involving rational expressions. Identify each equation as an identity, an... Problem 47E: Solve each equation involving rational expressions. Identify each equation as an identity, an... Problem 48E: Solve each equation involving rational expressions. Identify each equation as an identity, an... Problem 49E Problem 50E: Use a calculator to help you solve each equation. Round each approximate answer to three decimal... Problem 51E Problem 52E Problem 53E Problem 54E Problem 55E Problem 56E Problem 57E Problem 58E Problem 59E Problem 60E Problem 61E Problem 62E Problem 63E Problem 64E Problem 65E: Solve each absolute value equation. Use the summary on page 84. |x – 4| = 4 Problem 66E Problem 67E: Solve each absolute value equation. Use the summary on page 84. |x–6| = 0 Problem 68E: Solve each absolute value equation. Use the summary on page 84. |x – 7| = 0 Problem 69E: Solve each absolute value equation. Use the summary on page 84. | x + 8| = –3 Problem 70E: Solve each absolute value equation. Use the summary on page 84. |x + 9| = –6 Problem 71E: Solve each absolute value equation. Use the summary on page 84. |2x – 3| = 7 Problem 72E: Solve each absolute value equation. Use the summary on page 84. |3x + 4| = 12 Problem 73E Problem 74E Problem 75E: Solve each absolute value equation. Use the summary on page 84. 2 | x + 5 | − 10 = 0 Problem 76E: Solve each absolute value equation. Use the summary on page 84.
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Problem 77E Problem 78E: Solve each absolute value equation. Use the summary on page 84.
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Problem 79E: Solve each absolute value equation. Use the summary on page 84. 2 | x | + 7 = 6 Problem 80E Problem 81E Problem 82E Problem 83E Problem 84E Problem 85E: Solve each equation. (x + 2)2 = x2 + 4 Problem 86E Problem 87E Problem 88E Problem 89E: Solve each equation. Problem 90E: Solve each equation.
90.
Problem 91E Problem 92E: Solve each equation. Problem 93E Problem 94E Problem 95E: Solve each equation. 9 − 4 | 2 x − 3 | = 9 Problem 96E: Solve each equation. − 7 − | 3 x + 1 | = | 3 x + 1 | − 7 Problem 97E Problem 98E Problem 99E Problem 100E Problem 101E:
Solve each equation.
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Problem 102E Problem 103E Problem 104E Problem 105E Problem 106E Problem 107E Problem 108E Problem 109E Problem 110E Problem 111E Problem 112E Problem 113E Problem 114E Problem 115E Problem 116E: Evaluate . Problem 117E Problem 118E Problem 119E Problem 120E Problem 121E Problem 122E: Summing Factorials What is the units digit in the sum 1! + 2! + 3! + 4! + • • • + 1775! + 1776!? Problem 1PQ Problem 2PQ: Solve each equation and identify each as an identity, inconsistent equation, or a conditional... Problem 3PQ Problem 4PQ Problem 5PQ Problem 6PQ: Solve each equation and identify each as an identity, inconsistent equation, or a conditional... Problem LC format_list_bulleted