Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
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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Chapter 3.4, Problem 58SR
To determine

Find value of the unknown variable x from the given equation.

Expert Solution & Answer
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Answer to Problem 58SR

  x=−7

Explanation of Solution

Given:

The Equation: −  4x+16=0

Concept Used:

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Calculation:

Addition or Subtraction Property of Equality:

If a  =  b , then a + c =  b + c or If a  =  b , then a − c =  b − c

The property that states that if you add or subtract the same number to both sides of an equation, the sides remain equal (i.e., the equation continues to be true.)

Multiplication and Division Properties of Equality:

If a  =  b , then a · c  =  b · c

If a  =  b , then a ÷ c  =  b ÷ c , where c is not equal to 0.

In other words, if two expressions are equal to each other and you multiply or divide (except for 0) the exact same constant to both sides, the two sides will remain equal. 

Given the Equation: −  4x+16=0

  Solve :−  4x+16=0−  4x+16−16=0−16  [  subtract  16  from  both  sides  ]  −  4x=−16−  4x−  4     −16−  4  [  divide  each  side  by  −  4  ]x=4

Thus, the solution of the equation −  4x+16=0is x=4

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Chapter 3 Solutions

Algebra 1

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