High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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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
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Chapter 2, Problem 2GR
To determine

The solution of the equation x+4=34 , and check the solution.

Expert Solution & Answer
Check Mark

Answer to Problem 2GR

  x=−134

Explanation of Solution

Given:

The equation, x+4=34 .

Concept Used:

  • To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
  • To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
  • To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
  • To get rid of a number in division from one side, multiply the same number both sides of equal sign.

Rules of Addition/ Subtraction:

  • Two numbers with similar sign always get added and the resulting number will carry the similar sign.
  • Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

  • The product/quotient of two similar sign numbers is always positive.
  • The product/quotient of two numbers with opposite signs is always negative.

Calculation:

In order to solve the given equation x+4=34 for the unknown variable, isolate the variable term x on one side by performing some basic algebraic operations to get rid of the other numbers and terms associated with it.

Here to isolate x on left side, first subtract 4 from both sides and then simplify further by taking Least Common Denominator to solve fractions as shown below,

  x+4=34x+4−4=34−4x=34−164x=3−164x=−134

Thus, the solution of the given equation is x=−134 .

Now, to check the solution, substitute x=−134 in the given equation and check whether the values on both sides of equal sign is same or no. So, it gives

  x+4=34−134+4=34−134+164=34−13+164=3434=34 True Statement

Since, the left hand side and right hand side are equal, so the solution is correct.

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Chapter 2, Problem 1GR
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Chapter 2, Problem 3GR

Chapter 2 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 2.1 - Prob. 1CBCh. 2.1 - Prob. 2CBCh. 2.1 - Prob. 3CBCh. 2.1 - Prob. 4CBCh. 2.1 - Prob. 5CBCh. 2.1 - Prob. 6CBCh. 2.1 - Prob. 7CBCh. 2.1 - Prob. 8CBCh. 2.1 - Prob. 9CBCh. 2.1 - Prob. 10CB
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Prob. 65PPECh. 2.3 - Prob. 66PPECh. 2.3 - Prob. 67PPECh. 2.3 - Prob. 68PPECh. 2.3 - Prob. 1MPCh. 2.4 - Prob. 1CBCh. 2.4 - Prob. 2CBCh. 2.4 - Prob. 3CBCh. 2.4 - Prob. 4CBCh. 2.4 - Prob. 5CBCh. 2.4 - Prob. 6CBCh. 2.4 - Prob. 1PCh. 2.4 - Prob. 2PCh. 2.4 - Prob. 3PCh. 2.4 - Prob. 4PCh. 2.4 - Prob. 1LCCh. 2.4 - Prob. 2LCCh. 2.4 - Prob. 3LCCh. 2.4 - Prob. 4LCCh. 2.4 - Prob. 5LCCh. 2.4 - Prob. 6LCCh. 2.4 - Prob. 7LCCh. 2.4 - Prob. 8LCCh. 2.4 - Prob. 9LCCh. 2.4 - Prob. 10PPECh. 2.4 - Prob. 11PPECh. 2.4 - Prob. 12PPECh. 2.4 - Prob. 13PPECh. 2.4 - Prob. 14PPECh. 2.4 - Prob. 15PPECh. 2.4 - Prob. 16PPECh. 2.4 - Prob. 17PPECh. 2.4 - Prob. 18PPECh. 2.4 - Prob. 19PPECh. 2.4 - Prob. 20PPECh. 2.4 - Prob. 21PPECh. 2.4 - Prob. 22PPECh. 2.4 - Prob. 23PPECh. 2.4 - Prob. 24PPECh. 2.4 - Prob. 25PPECh. 2.4 - Prob. 26PPECh. 2.4 - Prob. 27PPECh. 2.4 - Prob. 28PPECh. 2.4 - Prob. 29PPECh. 2.4 - Prob. 30PPECh. 2.4 - Prob. 31PPECh. 2.4 - Prob. 32PPECh. 2.4 - Prob. 33PPECh. 2.4 - Prob. 34PPECh. 2.4 - Prob. 35PPECh. 2.4 - 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Prob. 16PPECh. 2.5 - Prob. 17PPECh. 2.5 - Prob. 18PPECh. 2.5 - Prob. 19PPECh. 2.5 - Prob. 20PPECh. 2.5 - Prob. 21PPECh. 2.5 - Prob. 22PPECh. 2.5 - Prob. 23PPECh. 2.5 - Prob. 24PPECh. 2.5 - Prob. 25PPECh. 2.5 - Prob. 26PPECh. 2.5 - Prob. 27PPECh. 2.5 - Prob. 28PPECh. 2.5 - Prob. 29PPECh. 2.5 - Prob. 30PPECh. 2.5 - Prob. 31PPECh. 2.5 - Prob. 32PPECh. 2.5 - Prob. 33PPECh. 2.5 - Prob. 34PPECh. 2.5 - Prob. 35PPECh. 2.5 - Prob. 36PPECh. 2.5 - Prob. 37PPECh. 2.5 - Prob. 38PPECh. 2.5 - Prob. 39PPECh. 2.5 - Prob. 40PPECh. 2.5 - Prob. 41PPECh. 2.5 - Prob. 42PPECh. 2.5 - Prob. 43PPECh. 2.5 - Prob. 44PPECh. 2.5 - Prob. 45PPECh. 2.5 - Prob. 46PPECh. 2.5 - Prob. 47PPECh. 2.5 - Prob. 48PPECh. 2.5 - Prob. 49PPECh. 2.5 - Prob. 50PPECh. 2.5 - Prob. 51STPCh. 2.5 - Prob. 52STPCh. 2.5 - Prob. 53STPCh. 2.5 - Prob. 54MRCh. 2.5 - Prob. 55MRCh. 2.5 - Prob. 56MRCh. 2.5 - Prob. 57MRCh. 2.5 - Prob. 58MRCh. 2.5 - Prob. 59MRCh. 2.5 - Prob. 60MRCh. 2.5 - Prob. 61MRCh. 2.5 - Prob. 62MRCh. 2.5 - Prob. 63MRCh. 2.5 - Prob. 64MRCh. 2.5 - Prob. 65MRCh. 2.5 - Prob. 66MRCh. 2.5 - Prob. 1MCQCh. 2.5 - Prob. 2MCQCh. 2.5 - Prob. 3MCQCh. 2.5 - Prob. 4MCQCh. 2.5 - Prob. 5MCQCh. 2.5 - Prob. 6MCQCh. 2.5 - Prob. 7MCQCh. 2.5 - Prob. 8MCQCh. 2.5 - Prob. 9MCQCh. 2.5 - Prob. 10MCQCh. 2.5 - Prob. 11MCQCh. 2.5 - Prob. 12MCQCh. 2.5 - Prob. 13MCQCh. 2.5 - Prob. 14MCQCh. 2.5 - Prob. 15MCQCh. 2.5 - Prob. 16MCQCh. 2.5 - Prob. 17MCQCh. 2.5 - Prob. 18MCQCh. 2.5 - Prob. 19MCQCh. 2.5 - Prob. 20MCQCh. 2.5 - Prob. 21MCQCh. 2.5 - Prob. 22MCQCh. 2.6 - Prob. 1PCh. 2.6 - Prob. 2PCh. 2.6 - Prob. 3PCh. 2.6 - Prob. 4PCh. 2.6 - Prob. 1LCCh. 2.6 - Prob. 2LCCh. 2.6 - Prob. 3LCCh. 2.6 - Prob. 4LCCh. 2.6 - Prob. 5LCCh. 2.6 - Prob. 6LCCh. 2.6 - Prob. 7LCCh. 2.6 - Prob. 8LCCh. 2.6 - Prob. 9PPECh. 2.6 - Prob. 10PPECh. 2.6 - Prob. 11PPECh. 2.6 - Prob. 12PPECh. 2.6 - Prob. 13PPECh. 2.6 - Prob. 14PPECh. 2.6 - Prob. 15PPECh. 2.6 - Prob. 16PPECh. 2.6 - Prob. 17PPECh. 2.6 - Prob. 18PPECh. 2.6 - Prob. 19PPECh. 2.6 - Prob. 20PPECh. 2.6 - Prob. 21PPECh. 2.6 - Prob. 22PPECh. 2.6 - 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Prob. 66MRCh. 2.7 - Prob. 67MRCh. 2.7 - Prob. 68MRCh. 2.7 - Prob. 69MRCh. 2.7 - Prob. 70MRCh. 2.7 - Prob. 71MRCh. 2.7 - Prob. 72MRCh. 2.7 - Prob. 73MRCh. 2.8 - Prob. 1PCh. 2.8 - Prob. 2PCh. 2.8 - Prob. 3PCh. 2.8 - Prob. 4PCh. 2.8 - Prob. 1LCCh. 2.8 - Prob. 2LCCh. 2.8 - Prob. 3LCCh. 2.8 - Prob. 4LCCh. 2.8 - Prob. 5LCCh. 2.8 - Prob. 6PPECh. 2.8 - Prob. 7PPECh. 2.8 - Prob. 8PPECh. 2.8 - Prob. 9PPECh. 2.8 - Prob. 10PPECh. 2.8 - Prob. 11PPECh. 2.8 - Prob. 12PPECh. 2.8 - Prob. 13PPECh. 2.8 - Prob. 14PPECh. 2.8 - Prob. 15PPECh. 2.8 - Prob. 16PPECh. 2.8 - Prob. 17PPECh. 2.8 - Prob. 18PPECh. 2.8 - Prob. 19PPECh. 2.8 - Prob. 20PPECh. 2.8 - Prob. 21PPECh. 2.8 - Prob. 22PPECh. 2.8 - Prob. 23PPECh. 2.8 - Prob. 24PPECh. 2.8 - Prob. 25PPECh. 2.8 - Prob. 26PPECh. 2.8 - Prob. 27PPECh. 2.8 - Prob. 28PPECh. 2.8 - Prob. 29PPECh. 2.8 - Prob. 30PPECh. 2.8 - Prob. 1MPCh. 2.9 - Prob. 1PCh. 2.9 - Prob. 2PCh. 2.9 - Prob. 3PCh. 2.9 - Prob. 4PCh. 2.9 - Prob. 5PCh. 2.9 - Prob. 1LCCh. 2.9 - Prob. 2LCCh. 2.9 - Prob. 3LCCh. 2.9 - Prob. 4LCCh. 2.9 - Prob. 5LCCh. 2.9 - Prob. 6LCCh. 2.9 - Prob. 7LCCh. 2.9 - Prob. 8LCCh. 2.9 - Prob. 9PPECh. 2.9 - Prob. 10PPECh. 2.9 - Prob. 11PPECh. 2.9 - Prob. 12PPECh. 2.9 - Prob. 13PPECh. 2.9 - Prob. 14PPECh. 2.9 - Prob. 15PPECh. 2.9 - Prob. 16PPECh. 2.9 - Prob. 17PPECh. 2.9 - Prob. 18PPECh. 2.9 - Prob. 19PPECh. 2.9 - Prob. 20PPECh. 2.9 - Prob. 21PPECh. 2.9 - Prob. 22PPECh. 2.9 - Prob. 23PPECh. 2.9 - Prob. 24PPECh. 2.9 - Prob. 25PPECh. 2.9 - Prob. 26PPECh. 2.9 - Prob. 27PPECh. 2.9 - Prob. 28PPECh. 2.9 - Prob. 29PPECh. 2.9 - Prob. 30PPECh. 2.9 - Prob. 31PPECh. 2.9 - Prob. 32PPECh. 2.9 - Prob. 33PPECh. 2.9 - Prob. 34PPECh. 2.9 - Prob. 35PPECh. 2.9 - Prob. 36PPECh. 2.9 - Prob. 37PPECh. 2.9 - Prob. 38PPECh. 2.9 - Prob. 39PPECh. 2.9 - Prob. 40PPECh. 2.9 - Prob. 41PPECh. 2.9 - Prob. 42PPECh. 2.9 - Prob. 43PPECh. 2.9 - Prob. 44PPECh. 2.9 - Prob. 45PPECh. 2.9 - Prob. 46PPECh. 2.9 - Prob. 47PPECh. 2.9 - Prob. 48PPECh. 2.9 - Prob. 49PPECh. 2.9 - Prob. 50PPECh. 2.9 - Prob. 51PPECh. 2.9 - Prob. 52PPECh. 2.9 - Prob. 53PPECh. 2.9 - Prob. 54STPCh. 2.9 - Prob. 55STPCh. 2.9 - Prob. 56STPCh. 2.9 - Prob. 57MRCh. 2.9 - Prob. 58MRCh. 2.9 - Prob. 59MRCh. 2.9 - Prob. 60MRCh. 2.9 - Prob. 61MRCh. 2.9 - Prob. 62MRCh. 2.10 - Prob. 1PCh. 2.10 - Prob. 2PCh. 2.10 - Prob. 3PCh. 2.10 - Prob. 4PCh. 2.10 - Prob. 5PCh. 2.10 - Prob. 1LCCh. 2.10 - Prob. 2LCCh. 2.10 - Prob. 3LCCh. 2.10 - Prob. 4LCCh. 2.10 - Prob. 5LCCh. 2.10 - Prob. 6LCCh. 2.10 - Prob. 7PPECh. 2.10 - Prob. 8PPECh. 2.10 - Prob. 9PPECh. 2.10 - Prob. 10PPECh. 2.10 - Prob. 11PPECh. 2.10 - Prob. 12PPECh. 2.10 - Prob. 13PPECh. 2.10 - Prob. 14PPECh. 2.10 - Prob. 15PPECh. 2.10 - Prob. 16PPECh. 2.10 - Prob. 17PPECh. 2.10 - Prob. 18PPECh. 2.10 - Prob. 19PPECh. 2.10 - Prob. 20PPECh. 2.10 - Prob. 21PPECh. 2.10 - Prob. 22PPECh. 2.10 - Prob. 23PPECh. 2.10 - Prob. 24PPECh. 2.10 - Prob. 25PPECh. 2.10 - Prob. 26PPECh. 2.10 - Prob. 27PPECh. 2.10 - Prob. 28PPECh. 2.10 - Prob. 29PPECh. 2.10 - Prob. 30PPECh. 2.10 - Prob. 31PPECh. 2.10 - Prob. 32PPECh. 2.10 - Prob. 33PPECh. 2.10 - Prob. 34PPECh. 2.10 - Prob. 35PPECh. 2.10 - Prob. 36PPECh. 2.10 - Prob. 37PPECh. 2.10 - Prob. 38PPECh. 2.10 - Prob. 39PPECh. 2.10 - Prob. 40PPECh. 2.10 - Prob. 41PPECh. 2.10 - Prob. 42STPCh. 2.10 - Prob. 43STPCh. 2.10 - Prob. 44STPCh. 2.10 - Prob. 45MRCh. 2.10 - Prob. 46MRCh. 2.10 - Prob. 47MRCh. 2.10 - Prob. 48MRCh. 2.10 - Prob. 49MRCh. 2.10 - Prob. 50MRCh. 2.10 - Prob. 51MRCh. 2 - Prob. 1GRCh. 2 - Prob. 2GRCh. 2 - Prob. 3GRCh. 2 - Prob. 4GRCh. 2 - Prob. 5GRCh. 2 - Prob. 6GRCh. 2 - Prob. 7GRCh. 2 - Prob. 8GRCh. 2 - Prob. 9GRCh. 2 - Prob. 10GRCh. 2 - Prob. 11GRCh. 2 - Prob. 12GRCh. 2 - Prob. 13GRCh. 2 - Prob. 14GRCh. 2 - Prob. 15GRCh. 2 - Prob. 16GRCh. 2 - Prob. 17GRCh. 2 - Prob. 18GRCh. 2 - Prob. 19GRCh. 2 - Prob. 20GRCh. 2 - Prob. 1CRCh. 2 - Prob. 2CRCh. 2 - Prob. 3CRCh. 2 - Prob. 4CRCh. 2 - Prob. 5CRCh. 2 - Prob. 6CRCh. 2 - Prob. 7CRCh. 2 - Prob. 8CRCh. 2 - Prob. 9CRCh. 2 - Prob. 10CRCh. 2 - Prob. 11CRCh. 2 - Prob. 12CRCh. 2 - Prob. 13CRCh. 2 - Prob. 14CRCh. 2 - Prob. 15CRCh. 2 - Prob. 16CRCh. 2 - Prob. 17CRCh. 2 - Prob. 18CRCh. 2 - Prob. 19CRCh. 2 - Prob. 20CRCh. 2 - Prob. 21CRCh. 2 - Prob. 22CRCh. 2 - Prob. 23CRCh. 2 - Prob. 24CRCh. 2 - Prob. 25CRCh. 2 - Prob. 26CRCh. 2 - Prob. 27CRCh. 2 - Prob. 28CRCh. 2 - Prob. 29CRCh. 2 - Prob. 30CRCh. 2 - Prob. 31CRCh. 2 - Prob. 32CRCh. 2 - Prob. 33CRCh. 2 - Prob. 34CRCh. 2 - Prob. 35CRCh. 2 - Prob. 36CRCh. 2 - Prob. 37CRCh. 2 - Prob. 38CRCh. 2 - Prob. 39CRCh. 2 - Prob. 40CRCh. 2 - Prob. 41CRCh. 2 - Prob. 42CRCh. 2 - Prob. 43CRCh. 2 - Prob. 44CRCh. 2 - Prob. 45CRCh. 2 - Prob. 46CRCh. 2 - Prob. 47CRCh. 2 - Prob. 48CRCh. 2 - Prob. 49CRCh. 2 - Prob. 50CRCh. 2 - Prob. 51CRCh. 2 - Prob. 52CRCh. 2 - Prob. 53CRCh. 2 - Prob. 54CRCh. 2 - Prob. 55CRCh. 2 - Prob. 56CRCh. 2 - Prob. 57CRCh. 2 - Prob. 58CRCh. 2 - Prob. 59CRCh. 2 - Prob. 60CRCh. 2 - Prob. 61CRCh. 2 - Prob. 62CRCh. 2 - Prob. 63CRCh. 2 - Prob. 64CRCh. 2 - Prob. 1PTCh. 2 - Prob. 2PTCh. 2 - Prob. 3PTCh. 2 - Prob. 4PTCh. 2 - Prob. 5PTCh. 2 - Prob. 6PTCh. 2 - Prob. 7PTCh. 2 - Prob. 8PTCh. 2 - Prob. 9PTCh. 2 - Prob. 10PTCh. 2 - Prob. 11PTCh. 2 - Prob. 12PTCh. 2 - Prob. 13PTCh. 2 - Prob. 14PTCh. 2 - Prob. 15PTCh. 2 - Prob. 16PTCh. 2 - Prob. 17PTCh. 2 - Prob. 18PTCh. 2 - Prob. 1CCSRCh. 2 - Prob. 2CCSRCh. 2 - Prob. 3CCSRCh. 2 - Prob. 4CCSRCh. 2 - Prob. 5CCSRCh. 2 - Prob. 6CCSRCh. 2 - Prob. 7CCSRCh. 2 - Prob. 8CCSRCh. 2 - Prob. 9CCSRCh. 2 - Prob. 10CCSRCh. 2 - Prob. 11CCSRCh. 2 - Prob. 12CCSRCh. 2 - Prob. 13CCSRCh. 2 - Prob. 14CCSRCh. 2 - Prob. 15CCSRCh. 2 - Prob. 16CCSRCh. 2 - Prob. 17CCSRCh. 2 - Prob. 18CCSRCh. 2 - Prob. 19CCSRCh. 2 - Prob. 20CCSRCh. 2 - Prob. 21CCSRCh. 2 - Prob. 22CCSRCh. 2 - Prob. 23CCSRCh. 2 - Prob. 24CCSRCh. 2 - Prob. 25CCSR

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