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High School Math Algebra Algebra 2

The equation that represent the valid way to solve equation.. F − 3 ( x − 7 ) = − 16 − 3 x − 21 = − 16 − 3 x = 5 x = − 5 3 G 7 − 4 x = 3 x + 27 7 − 7 x = 27 − 7 x = − 20 7 x = 20 H 2 ( x − 4 ) = 20 2 x − 8 = 20 2 x = 12 x = 6 J 6 ( 2 x + 1 ) = 30 12 x + 6 = 30 12 x = 24 x = 2

The equation that represent the valid way to solve equation.. F − 3 ( x − 7 ) = − 16 − 3 x − 21 = − 16 − 3 x = 5 x = − 5 3 G 7 − 4 x = 3 x + 27 7 − 7 x = 27 − 7 x = − 20 7 x = 20 H 2 ( x − 4 ) = 20 2 x − 8 = 20 2 x = 12 x = 6 J 6 ( 2 x + 1 ) = 30 12 x + 6 = 30 12 x = 24 x = 2

Algebra 2

1st Edition

ISBN: 9780078884825

Author: McGraw-Hill/Glencoe

Publisher: Glencoe/McGraw-Hill School Pub Co

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Concept explainers

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 3.5, Problem 31HP

To determine

To explain: The equation that represent the valid way to solve equation..

F−3(x−7)=−16−3x−21=−16−3x=5x=−53

G 7−4x=3x+277−7x=27−7x=−207x=20

H 2(x−4)=202x−8=202x=12x=6

J 6(2x+1)=3012x+6=3012x=24x=2

Expert Solution & Answer

Answer to Problem 31HP

The correct equation is solved in option J.

Explanation of Solution

Given information:

The solution of equation in single variable.

Calculation:

Consider the of equations,

F−3(x−7)=−16−3x−21=−16−3x=5x=−53

The above equation is wrong since when −3 is multiplied by −7 result is 21 and not −21.

G 7−4x=3x+277−7x=27−7x=−207x=20

The second last step is not defined. 7 should not be divided

H 2(x−4)=202x−8=202x=12x=6

The equation is solved wrong since when number jumps the equal to sign its sign changes.

J 6(2x+1)=3012x+6=3012x=24x=2

The steps are all correct.

Thus, the correct equation is solved in option J.

Chapter 3.5, Problem 30HP

Chapter 3.5, Problem 32HP

Chapter 3 Solutions

Algebra 2

Ch. 3.1 - Prob. 1ACYP Ch. 3.1 - Prob. 1BCYP Ch. 3.1 - Prob. 2ACYP Ch. 3.1 - Prob. 2BCYP Ch. 3.1 - Prob. 3CYP Ch. 3.1 - Prob. 4ACYP Ch. 3.1 - Prob. 4BCYP Ch. 3.1 - Prob. 4CCYP Ch. 3.1 - Prob. 4DCYP Ch. 3.1 - Prob. 1CYU

Ch. 3.1 - Prob. 2CYU Ch. 3.1 - Prob. 3CYU Ch. 3.1 - Prob. 4CYU Ch. 3.1 - Prob. 5CYU Ch. 3.1 - Prob. 6CYU Ch. 3.1 - Prob. 7CYU Ch. 3.1 - Prob. 8CYU Ch. 3.1 - Prob. 9CYU Ch. 3.1 - Prob. 10CYU Ch. 3.1 - Prob. 11CYU Ch. 3.1 - Prob. 12CYU Ch. 3.1 - Prob. 13PPS Ch. 3.1 - Prob. 14PPS Ch. 3.1 - Prob. 15PPS Ch. 3.1 - Prob. 16PPS Ch. 3.1 - Prob. 17PPS Ch. 3.1 - Prob. 18PPS Ch. 3.1 - Prob. 19PPS Ch. 3.1 - Prob. 20PPS Ch. 3.1 - Prob. 21PPS Ch. 3.1 - Prob. 22PPS Ch. 3.1 - Prob. 23PPS Ch. 3.1 - Prob. 24PPS Ch. 3.1 - Prob. 25PPS Ch. 3.1 - Prob. 26PPS Ch. 3.1 - Prob. 27PPS Ch. 3.1 - Prob. 28PPS Ch. 3.1 - Prob. 29PPS Ch. 3.1 - Prob. 30PPS Ch. 3.1 - Prob. 31PPS Ch. 3.1 - Prob. 32PPS Ch. 3.1 - Prob. 33PPS Ch. 3.1 - Prob. 34PPS Ch. 3.1 - Prob. 35PPS Ch. 3.1 - Prob. 36PPS Ch. 3.1 - Prob. 37PPS Ch. 3.1 - Prob. 38PPS Ch. 3.1 - Prob. 39PPS Ch. 3.1 - Prob. 40PPS Ch. 3.1 - Prob. 41PPS Ch. 3.1 - Prob. 42HP Ch. 3.1 - Prob. 43HP Ch. 3.1 - Prob. 44HP Ch. 3.1 - Prob. 45HP Ch. 3.1 - Prob. 46HP Ch. 3.1 - Prob. 47HP Ch. 3.1 - 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Prob. 60STP Ch. 3.3 - Prob. 61STP Ch. 3.3 - Prob. 62STP Ch. 3.3 - Prob. 63S Ch. 3.3 - Prob. 64S Ch. 3.3 - Prob. 65S Ch. 3.3 - Prob. 66S Ch. 3.3 - Prob. 67S Ch. 3.3 - Prob. 68S Ch. 3.3 - Prob. 1E Ch. 3.3 - Prob. 2E Ch. 3.3 - Prob. 3E Ch. 3.3 - Prob. 4E Ch. 3.3 - Prob. 5E Ch. 3.3 - Prob. 6E Ch. 3.3 - Prob. 7E Ch. 3.3 - Prob. 8E Ch. 3.3 - Prob. 9E Ch. 3.4 - Prob. 1ACYP Ch. 3.4 - Prob. 1BCYP Ch. 3.4 - Prob. 2ACYP Ch. 3.4 - Prob. 2BCYP Ch. 3.4 - Prob. 3CYP Ch. 3.4 - Prob. 1CYU Ch. 3.4 - Prob. 2CYU Ch. 3.4 - Prob. 3CYU Ch. 3.4 - Prob. 4CYU Ch. 3.4 - Prob. 5CYU Ch. 3.4 - Prob. 6CYU Ch. 3.4 - Prob. 7CYU Ch. 3.4 - Prob. 8PPS Ch. 3.4 - Prob. 9PPS Ch. 3.4 - Prob. 10PPS Ch. 3.4 - Prob. 11PPS Ch. 3.4 - Prob. 12PPS Ch. 3.4 - Prob. 13PPS Ch. 3.4 - Prob. 14PPS Ch. 3.4 - Prob. 15PPS Ch. 3.4 - Prob. 16PPS Ch. 3.4 - Prob. 17PPS Ch. 3.4 - Prob. 18PPS Ch. 3.4 - Prob. 19PPS Ch. 3.4 - Prob. 20PPS Ch. 3.4 - Prob. 21PPS Ch. 3.4 - Prob. 22PPS Ch. 3.4 - Prob. 23PPS Ch. 3.4 - Prob. 24PPS Ch. 3.4 - Prob. 25PPS Ch. 3.4 - Prob. 26PPS Ch. 3.4 - Prob. 27PPS Ch. 3.4 - Prob. 28PPS Ch. 3.4 - Prob. 29PPS Ch. 3.4 - Prob. 30HP Ch. 3.4 - Prob. 31HP Ch. 3.4 - Prob. 32HP Ch. 3.4 - Prob. 33HP Ch. 3.4 - Prob. 34HP Ch. 3.4 - Prob. 35HP Ch. 3.4 - Prob. 36HP Ch. 3.4 - Prob. 37HP Ch. 3.4 - Prob. 38STP Ch. 3.4 - Prob. 39STP Ch. 3.4 - Prob. 40STP Ch. 3.4 - Prob. 41STP Ch. 3.4 - Prob. 42STP Ch. 3.4 - Prob. 43STP Ch. 3.4 - Prob. 44STP Ch. 3.4 - Prob. 45STP Ch. 3.4 - Prob. 46STP Ch. 3.4 - Prob. 47STP Ch. 3.4 - Prob. 48STP Ch. 3.4 - Prob. 49STP Ch. 3.4 - Prob. 50S Ch. 3.4 - Prob. 51S Ch. 3.4 - Prob. 52S Ch. 3.4 - Prob. 53S Ch. 3.4 - Prob. 54S Ch. 3.4 - Prob. 55S Ch. 3.5 - Prob. 1ACYP Ch. 3.5 - Prob. 1BCYP Ch. 3.5 - Prob. 2ACYP Ch. 3.5 - Prob. 2BCYP Ch. 3.5 - Prob. 3CYP Ch. 3.5 - Prob. 1CYU Ch. 3.5 - Prob. 2CYU Ch. 3.5 - Prob. 3CYU Ch. 3.5 - Prob. 4CYU Ch. 3.5 - Prob. 5CYU Ch. 3.5 - Prob. 6CYU Ch. 3.5 - Prob. 7CYU Ch. 3.5 - Prob. 8PPS Ch. 3.5 - Prob. 9PPS Ch. 3.5 - Prob. 10PPS Ch. 3.5 - Prob. 11PPS Ch. 3.5 - Prob. 12PPS Ch. 3.5 - 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