Glencoe Math Accelerated, Student Edition
Glencoe Math Accelerated, Student Edition
1st Edition
ISBN: 9780076637980
Author: McGraw-Hill Glencoe
Publisher: MCG
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Concept explainers

Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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Question
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Chapter 1.4, Problem 58STP
To determine

To simplify the expression 10⋅(x⋅3) .

Expert Solution & Answer
Check Mark

Answer to Problem 58STP

  30x

Explanation of Solution

Given information:

The expression: 10⋅(x⋅3) .

Concept Used:

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.

Associative Property of multiplication: (a⋅b)⋅c=a⋅(b⋅c)

Calculation:

In order to simplify the expression 10⋅(x⋅3) , use the associative property of multiplication and then multiply the like terms to simplify further as shown below,

  10⋅(x⋅3)=10⋅(3⋅x) Commutative property=(10⋅3)⋅x Associative property=(30)⋅x=30x

Thus, the given expression simplifies to 30x .

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Chapter 1.4, Problem 57STP
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Chapter 1.4, Problem 59CCR

Chapter 1 Solutions

Glencoe Math Accelerated, Student Edition

Ch. 1.1 - Prob. 1GPCh. 1.1 - Prob. 2GPCh. 1.1 - Prob. 3GPCh. 1.1 - Prob. 4IPCh. 1.1 - Prob. 5IPCh. 1.1 - Prob. 6IPCh. 1.1 - Prob. 7IPCh. 1.1 - Prob. 8IPCh. 1.1 - Prob. 9HPCh. 1.1 - Prob. 10HP
Ch. 1.1 - Prob. 11HPCh. 1.1 - Prob. 12HPCh. 1.1 - Prob. 13STPCh. 1.1 - Prob. 14STPCh. 1.1 - Prob. 15STPCh. 1.1 - Prob. 16CCRCh. 1.1 - Prob. 17CCRCh. 1.1 - Prob. 18CCRCh. 1.1 - Prob. 19CCRCh. 1.1 - Prob. 20CCRCh. 1.1 - Prob. 21CCRCh. 1.1 - Prob. 22CCRCh. 1.1 - Prob. 23CCRCh. 1.1 - Prob. 24CCRCh. 1.2 - Prob. 1GPCh. 1.2 - Prob. 2GPCh. 1.2 - Prob. 3GPCh. 1.2 - Prob. 4GPCh. 1.2 - Prob. 5GPCh. 1.2 - Prob. 6GPCh. 1.2 - Prob. 7GPCh. 1.2 - Prob. 8GPCh. 1.2 - Prob. 9GPCh. 1.2 - Prob. 10GPCh. 1.2 - Prob. 11GPCh. 1.2 - Prob. 12IPCh. 1.2 - Prob. 13IPCh. 1.2 - Prob. 14IPCh. 1.2 - Prob. 15IPCh. 1.2 - Prob. 16IPCh. 1.2 - Prob. 17IPCh. 1.2 - Prob. 18IPCh. 1.2 - Prob. 19IPCh. 1.2 - Prob. 20IPCh. 1.2 - Prob. 21IPCh. 1.2 - Prob. 22IPCh. 1.2 - Prob. 23IPCh. 1.2 - Prob. 24IPCh. 1.2 - Prob. 25IPCh. 1.2 - Prob. 26IPCh. 1.2 - Prob. 27IPCh. 1.2 - Prob. 28IPCh. 1.2 - Prob. 29IPCh. 1.2 - Prob. 30IPCh. 1.2 - Prob. 31IPCh. 1.2 - Prob. 32IPCh. 1.2 - Prob. 33IPCh. 1.2 - Prob. 34IPCh. 1.2 - Prob. 35HPCh. 1.2 - Prob. 36HPCh. 1.2 - Prob. 37HPCh. 1.2 - Prob. 38STPCh. 1.2 - Prob. 39STPCh. 1.2 - Prob. 40STPCh. 1.2 - Prob. 41STPCh. 1.2 - Prob. 42CCRCh. 1.2 - Prob. 43CCRCh. 1.2 - Prob. 44CCRCh. 1.2 - Prob. 45CCRCh. 1.2 - Prob. 46CCRCh. 1.2 - Prob. 47CCRCh. 1.2 - Prob. 48CCRCh. 1.2 - Prob. 49CCRCh. 1.2 - Prob. 50CCRCh. 1.3 - Prob. 1GPCh. 1.3 - Prob. 2GPCh. 1.3 - Prob. 3GPCh. 1.3 - Prob. 4GPCh. 1.3 - Prob. 5GPCh. 1.3 - Prob. 6GPCh. 1.3 - Prob. 7GPCh. 1.3 - Prob. 8GPCh. 1.3 - Prob. 9GPCh. 1.3 - Prob. 10GPCh. 1.3 - Prob. 11GPCh. 1.3 - Prob. 12IPCh. 1.3 - Prob. 13IPCh. 1.3 - Prob. 14IPCh. 1.3 - Prob. 15IPCh. 1.3 - Prob. 16IPCh. 1.3 - Prob. 17IPCh. 1.3 - Prob. 18IPCh. 1.3 - Prob. 19IPCh. 1.3 - Prob. 20IPCh. 1.3 - Prob. 21IPCh. 1.3 - Prob. 22IPCh. 1.3 - Prob. 23IPCh. 1.3 - Prob. 24IPCh. 1.3 - Prob. 25IPCh. 1.3 - Prob. 26IPCh. 1.3 - Prob. 27IPCh. 1.3 - Prob. 28IPCh. 1.3 - Prob. 29IPCh. 1.3 - Prob. 30IPCh. 1.3 - Prob. 31IPCh. 1.3 - Prob. 32IPCh. 1.3 - Prob. 33IPCh. 1.3 - Prob. 34IPCh. 1.3 - Prob. 35IPCh. 1.3 - Prob. 36IPCh. 1.3 - Prob. 37IPCh. 1.3 - Prob. 38IPCh. 1.3 - Prob. 39IPCh. 1.3 - Prob. 40IPCh. 1.3 - Prob. 41IPCh. 1.3 - Prob. 42HPCh. 1.3 - Prob. 43HPCh. 1.3 - Prob. 44HPCh. 1.3 - Prob. 45HPCh. 1.3 - Prob. 46STPCh. 1.3 - Prob. 47STPCh. 1.3 - Prob. 48STPCh. 1.3 - Prob. 49STPCh. 1.3 - Prob. 50CCRCh. 1.3 - Prob. 51CCRCh. 1.3 - Prob. 52CCRCh. 1.3 - Prob. 53CCRCh. 1.3 - Prob. 54CCRCh. 1.3 - Prob. 55CCRCh. 1.3 - Prob. 56CCRCh. 1.3 - Prob. 57CCRCh. 1.3 - Prob. 58CCRCh. 1.3 - Prob. 59CCRCh. 1.3 - Prob. 60CCRCh. 1.3 - Prob. 61CCRCh. 1.3 - Prob. 62CCRCh. 1.3 - Prob. 63CCRCh. 1.3 - Prob. 64CCRCh. 1.3 - Prob. 65CCRCh. 1.3 - Prob. 66CCRCh. 1.3 - Prob. 67CCRCh. 1.3 - Prob. 68CCRCh. 1.3 - Prob. 69CCRCh. 1.3 - Prob. 70CCRCh. 1.3 - Prob. 71CCRCh. 1.4 - Prob. 1GPCh. 1.4 - Prob. 2GPCh. 1.4 - Prob. 3GPCh. 1.4 - Prob. 4GPCh. 1.4 - Prob. 5GPCh. 1.4 - Prob. 6GPCh. 1.4 - Prob. 7GPCh. 1.4 - Prob. 8GPCh. 1.4 - Prob. 9GPCh. 1.4 - Prob. 10GPCh. 1.4 - Prob. 11GPCh. 1.4 - Prob. 12GPCh. 1.4 - Prob. 13GPCh. 1.4 - Prob. 14GPCh. 1.4 - Prob. 15GPCh. 1.4 - Prob. 16GPCh. 1.4 - Prob. 17GPCh. 1.4 - Prob. 18IPCh. 1.4 - Prob. 19IPCh. 1.4 - Prob. 20IPCh. 1.4 - Prob. 21IPCh. 1.4 - Prob. 22IPCh. 1.4 - Prob. 23IPCh. 1.4 - Prob. 24IPCh. 1.4 - Prob. 25IPCh. 1.4 - Prob. 26IPCh. 1.4 - Prob. 27IPCh. 1.4 - Prob. 28IPCh. 1.4 - Prob. 29IPCh. 1.4 - Prob. 30IPCh. 1.4 - Prob. 31IPCh. 1.4 - Prob. 32IPCh. 1.4 - Prob. 33IPCh. 1.4 - Prob. 34IPCh. 1.4 - Prob. 35IPCh. 1.4 - Prob. 36IPCh. 1.4 - Prob. 37IPCh. 1.4 - Prob. 38IPCh. 1.4 - Prob. 39IPCh. 1.4 - Prob. 40IPCh. 1.4 - Prob. 41IPCh. 1.4 - Prob. 42IPCh. 1.4 - Prob. 43IPCh. 1.4 - Prob. 44IPCh. 1.4 - Prob. 45IPCh. 1.4 - Prob. 46IPCh. 1.4 - Prob. 47IPCh. 1.4 - Prob. 48IPCh. 1.4 - Prob. 49IPCh. 1.4 - Prob. 50HPCh. 1.4 - Prob. 51HPCh. 1.4 - Prob. 52HPCh. 1.4 - Prob. 53HPCh. 1.4 - Prob. 54HPCh. 1.4 - Prob. 55STPCh. 1.4 - Prob. 56STPCh. 1.4 - Prob. 57STPCh. 1.4 - Prob. 58STPCh. 1.4 - Prob. 59CCRCh. 1.4 - Prob. 60CCRCh. 1.4 - Prob. 61CCRCh. 1.4 - Prob. 62CCRCh. 1.4 - Prob. 63CCRCh. 1.4 - Prob. 64CCRCh. 1.4 - Prob. 65CCRCh. 1.4 - Prob. 66CCRCh. 1.4 - Prob. 67CCRCh. 1.4 - Prob. 68CCRCh. 1.4 - Prob. 69CCRCh. 1.4 - Prob. 70CCRCh. 1.4 - Prob. 71CCRCh. 1.4 - Prob. 72CCRCh. 1.4 - Prob. 73CCRCh. 1.4 - Prob. 74CCRCh. 1.4 - Prob. 75CCRCh. 1.4 - Prob. 76CCRCh. 1.4 - Prob. 77CCRCh. 1.4 - Prob. 78CCRCh. 1.4 - Prob. 79CCRCh. 1.4 - Prob. 80CCRCh. 1.5 - Prob. 1GPCh. 1.5 - Prob. 2GPCh. 1.5 - Prob. 3GPCh. 1.5 - Prob. 4GPCh. 1.5 - Prob. 5IPCh. 1.5 - Prob. 6IPCh. 1.5 - Prob. 7IPCh. 1.5 - Prob. 8IPCh. 1.5 - Prob. 9IPCh. 1.5 - Prob. 10IPCh. 1.5 - Prob. 11IPCh. 1.5 - Prob. 12IPCh. 1.5 - Prob. 13IPCh. 1.5 - Prob. 14IPCh. 1.5 - Prob. 15IPCh. 1.5 - Prob. 16HPCh. 1.5 - Prob. 17HPCh. 1.5 - Prob. 18HPCh. 1.5 - Prob. 19HPCh. 1.5 - Prob. 20STPCh. 1.5 - Prob. 21STPCh. 1.5 - Prob. 22STPCh. 1.5 - Prob. 23STPCh. 1.5 - Prob. 24CCRCh. 1.5 - Prob. 25CCRCh. 1.5 - Prob. 26CCRCh. 1.5 - Prob. 27CCRCh. 1.5 - Prob. 28CCRCh. 1.5 - Prob. 29CCRCh. 1.5 - Prob. 30CCRCh. 1.5 - Prob. 31CCRCh. 1.5 - Prob. 32CCRCh. 1.5 - Prob. 33CCRCh. 1.5 - Prob. 34CCRCh. 1.5 - Prob. 35CCRCh. 1.6 - Prob. 1GPCh. 1.6 - Prob. 2GPCh. 1.6 - Prob. 3GPCh. 1.6 - Prob. 4GPCh. 1.6 - Prob. 5GPCh. 1.6 - Prob. 6GPCh. 1.6 - Prob. 7GPCh. 1.6 - Prob. 8GPCh. 1.6 - Prob. 9GPCh. 1.6 - Prob. 10GPCh. 1.6 - Prob. 11GPCh. 1.6 - Prob. 12IPCh. 1.6 - Prob. 13IPCh. 1.6 - Prob. 14IPCh. 1.6 - Prob. 15IPCh. 1.6 - Prob. 16IPCh. 1.6 - Prob. 17IPCh. 1.6 - Prob. 18IPCh. 1.6 - Prob. 19IPCh. 1.6 - Prob. 20IPCh. 1.6 - Prob. 21IPCh. 1.6 - Prob. 22IPCh. 1.6 - Prob. 23IPCh. 1.6 - Prob. 24IPCh. 1.6 - Prob. 25IPCh. 1.6 - Prob. 26IPCh. 1.6 - Prob. 27IPCh. 1.6 - Prob. 28IPCh. 1.6 - Prob. 29IPCh. 1.6 - Prob. 30IPCh. 1.6 - Prob. 31IPCh. 1.6 - Prob. 32IPCh. 1.6 - Prob. 33IPCh. 1.6 - Prob. 34IPCh. 1.6 - Prob. 35IPCh. 1.6 - Prob. 36IPCh. 1.6 - Prob. 37HPCh. 1.6 - Prob. 38HPCh. 1.6 - Prob. 39HPCh. 1.6 - Prob. 40HPCh. 1.6 - Prob. 41STPCh. 1.6 - Prob. 42STPCh. 1.6 - Prob. 43STPCh. 1.6 - Prob. 44STPCh. 1.6 - Prob. 45CCRCh. 1.6 - Prob. 46CCRCh. 1.6 - Prob. 47CCRCh. 1.6 - Prob. 48CCRCh. 1.6 - Prob. 49CCRCh. 1.6 - Prob. 50CCRCh. 1.6 - Prob. 51CCRCh. 1.6 - Prob. 52CCRCh. 1.6 - Prob. 53CCRCh. 1.6 - Prob. 54CCRCh. 1.6 - Prob. 55CCRCh. 1.6 - Prob. 56CCRCh. 1.6 - Prob. 57CCRCh. 1.6 - Prob. 58CCRCh. 1.6 - Prob. 59CCRCh. 1.6 - Prob. 60CCRCh. 1.6 - Prob. 61CCRCh. 1.6 - Prob. 62CCRCh. 1.6 - Prob. 63CCRCh. 1.7 - Prob. 1GPCh. 1.7 - Prob. 2GPCh. 1.7 - Prob. 3GPCh. 1.7 - Prob. 4IPCh. 1.7 - Prob. 5IPCh. 1.7 - Prob. 6IPCh. 1.7 - Prob. 7IPCh. 1.7 - Prob. 8IPCh. 1.7 - Prob. 9IPCh. 1.7 - Prob. 10IPCh. 1.7 - Prob. 11IPCh. 1.7 - Prob. 12HPCh. 1.7 - Prob. 13HPCh. 1.7 - Prob. 14HPCh. 1.7 - Prob. 15HPCh. 1.7 - Prob. 16HPCh. 1.7 - Prob. 17HPCh. 1.7 - Prob. 18HPCh. 1.7 - Prob. 19HPCh. 1.7 - Prob. 20CCRCh. 1.7 - Prob. 21CCRCh. 1.7 - Prob. 22CCRCh. 1.7 - Prob. 23CCRCh. 1.7 - Prob. 24CCRCh. 1.7 - Prob. 25CCRCh. 1.7 - Prob. 26CCRCh. 1.7 - Prob. 27CCRCh. 1.7 - Prob. 28CCRCh. 1.7 - Prob. 29CCRCh. 1.7 - Prob. 30CCRCh. 1.7 - Prob. 31CCRCh. 1.7 - Prob. 32CCRCh. 1.7 - Prob. 33CCRCh. 1.7 - Prob. 34CCRCh. 1.7 - Prob. 35CCRCh. 1.7 - Prob. 36CCRCh. 1.7 - Prob. 37CCRCh. 1.7 - Prob. 38CCRCh. 1.7 - Prob. 39CCRCh. 1.7 - Prob. 40CCRCh. 1.7 - Prob. 41CCRCh. 1.7 - Prob. 42CCRCh. 1.7 - Prob. 43CCRCh. 1.7 - Prob. 44CCRCh. 1 - Prob. 1CRCh. 1 - Prob. 2CRCh. 1 - Prob. 3CRCh. 1 - Prob. 4CRCh. 1 - Prob. 5CRCh. 1 - Prob. 6CRCh. 1 - Prob. 7CRCh. 1 - Prob. 8CRCh. 1 - Prob. 9CRCh. 1 - Prob. 10CRCh. 1 - Prob. 11CRCh. 1 - Prob. 12CRCh. 1 - Prob. 13CRCh. 1 - Prob. 14CRCh. 1 - Prob. 15CRCh. 1 - Prob. 16CRCh. 1 - Prob. 17CRCh. 1 - Prob. 18CRCh. 1 - Prob. 19CRCh. 1 - Prob. 20CRCh. 1 - Prob. 21CRCh. 1 - Prob. 22CRCh. 1 - Prob. 23CRCh. 1 - Prob. 24CRCh. 1 - Prob. 25CRCh. 1 - Prob. 26CRCh. 1 - Prob. 27CRCh. 1 - Prob. 28CRCh. 1 - Prob. 29CRCh. 1 - Prob. 30CRCh. 1 - Prob. 31CRCh. 1 - Prob. 32CRCh. 1 - Prob. 33CRCh. 1 - Prob. 34CRCh. 1 - Prob. 35CRCh. 1 - Prob. 36CRCh. 1 - Prob. 37CRCh. 1 - Prob. 38CRCh. 1 - Prob. 39CRCh. 1 - Prob. 40CRCh. 1 - Prob. 41CR

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