Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN: 9781680331141

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Question

Chapter 5.5, Problem 4E

To determine

ToSolve:The equation −3=4x+1 using the given below graph.

Expert Solution & Answer

Answer to Problem 4E

The solution of the given equation is the x=−1

Explanation of Solution

Given:

The equation −3=4x+1 and the graph

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015, Chapter 5.5, Problem 4E , additional homework tip 2

Concept Used:

The solution of an equation is the point of the intersection of the graph of the two functions of both sides of the equation.

Calculation:

Given the equation −3=4x+1 and the graph

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015, Chapter 5.5, Problem 4E , additional homework tip 3

Since, the point of the intersection of the graph of the two functions of both sides of the equation, that is −3 and 4x+1 is (−1,3) .

The solution of the given equation is the x-coordinate of (−1,3) .

Therefore, the solution of the given equation is the x=−1

Checking

Substituting the solution of the equation on both sides of the equation, we have

Substituting on left hand side of the given equation

−3=−3

Substituting on right hand side of the given equation

4x+1=4(−1)+1=−4+1=−3

Since, the value is coming out to be same after substituting the solution of the equation on both sides.

Therefore, the solution, x=−1 of the given equationis correct.

Conclusion:

The solution of the given equation is the x=−1

Chapter 5.5, Problem 3E

Chapter 5.5, Problem 5E

Chapter 5 Solutions

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E

Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Prob. 14E Ch. 5.1 - Prob. 15E Ch. 5.1 - Prob. 16E Ch. 5.1 - Prob. 17E Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.2 - Prob. 1E Ch. 5.2 - Prob. 2E Ch. 5.2 - Prob. 3E Ch. 5.2 - Prob. 4E Ch. 5.2 - Prob. 5E Ch. 5.2 - Prob. 6E Ch. 5.2 - Prob. 7E Ch. 5.2 - Prob. 8E Ch. 5.2 - Prob. 9E Ch. 5.2 - Prob. 10E Ch. 5.2 - Prob. 11E Ch. 5.2 - Prob. 12E Ch. 5.2 - Prob. 13E Ch. 5.2 - Prob. 14E Ch. 5.2 - Prob. 15E Ch. 5.2 - Prob. 16E Ch. 5.2 - Prob. 17E Ch. 5.2 - Prob. 18E Ch. 5.2 - Prob. 19E Ch. 5.2 - Prob. 20E Ch. 5.2 - Prob. 21E Ch. 5.2 - Prob. 22E Ch. 5.2 - Prob. 23E Ch. 5.2 - Prob. 24E Ch. 5.2 - 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ToSolve: The equation − 3 = 4 x + 1 using the given below graph.