High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
1st Edition
ISBN: 9780133185614
Author: Prentice Hall
Publisher: Prentice Hall
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Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
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Textbook Question
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Chapter 5.8, Problem 21P

Writing Can the absolute value of a number equal a negative number? Explain your reasoning.

Expert Solution & Answer
Check Mark
To determine

To Explain: The absolute value of a number equal to a negative number.

Answer to Problem 21P

Absolute value of any number cannot be equal to a negative number. Because absolute value is the distance from 0 to that particular number. So, distance cannot be negative.

Explanation of Solution

Given information: absolute value of a number can be a negative number.

Absolute value of a number is distance of that number from 0. The distance cannot be a negative number.

So, absolute value of a number cannot be equal to a negative number.

Conclusion: Absolute value of a number is always a positive number.

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Chapter 5.8, Problem 20P
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Chapter 5.8, Problem 22P

Chapter 5 Solutions

High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9

Ch. 5.1 - Determine whether each rate of change is constant....Ch. 5.1 - Determine whether each rate of change is constant....Ch. 5.1 - Determine whether each rate of change is constant....Ch. 5.1 - Find the slope of each line.Ch. 5.1 - Find the slope of each line.Ch. 5.1 - Find the slope of each line.Ch. 5.1 - Find the slope of the line that passes through...Ch. 5.1 - Find the slope of the line that passes through...Ch. 5.1 - Find the slope of the line that passes through...Ch. 5.1 - Find the slope of the line that passes through...
Ch. 5.1 - Find the slope of the line that passes through...Ch. 5.1 - Find the slope of the line that passes through...Ch. 5.1 - Find the slope of each line.Ch. 5.1 - Find the slope of each line.Ch. 5.1 - Find the slope of each line.Ch. 5.1 - Without graphing, tell whether the slope of a line...Ch. 5.1 - Without graphing, tell whether the slope of a line...Ch. 5.1 - Without graphing, tell whether the slope of a line...Ch. 5.1 - Without graphing, tell whether the slope of a line...Ch. 5.1 - State the independent variable and the dependent...Ch. 5.1 - State the independent variable and the dependent...Ch. 5.1 - State the independent variable and the dependent...Ch. 5.1 - Find the slope of the line that passes through...Ch. 5.1 - Find the slope of the line that passes through...Ch. 5.1 - Find the slope of the line that passes through...Ch. 5.1 - Find the slope of the line that passes through...Ch. 5.1 - Find the slope of the line that passes through...Ch. 5.1 - Find the slope of the line that passes through...Ch. 5.1 - Writing Explain why the slope of a horizontal line...Ch. 5.1 - Writing Describe how to draw a line that passes...Ch. 5.1 - Each pair of points lies on a line with the given...Ch. 5.1 - Each pair of points lies on a line with the given...Ch. 5.1 - Each pair of points lies on a line with the given...Ch. 5.1 - Each pair of points lies on a line with the given...Ch. 5.1 - For Exercises 15, choose the correct letter. What...Ch. 5.1 - For Exercises 15, choose the correct letter. A...Ch. 5.1 - For Exercises 15, choose the correct letter. The...Ch. 5.1 - For Exercises 15, choose the correct letter. What...Ch. 5.1 - Shawn needs to read a book that is 374 pages long....Ch. 5.1 - Robi has run the first 4 miles of a race in 30...Ch. 5.2 - Determine whether each equation represents a...Ch. 5.2 - Determine whether each equation represents a...Ch. 5.2 - Determine whether each equation represents a...Ch. 5.2 - Determine whether each equation represents a...Ch. 5.2 - Determine whether each equation represents a...Ch. 5.2 - Determine whether each equation represents a...Ch. 5.2 - Suppose y varies directly with x. Write a direct...Ch. 5.2 - Suppose y varies directly with x. Write a direct...Ch. 5.2 - Suppose y varies directly with x. Write a direct...Ch. 5.2 - Suppose y varies directly with x. Write a direct...Ch. 5.2 - Suppose y varies directly with x. Write a direct...Ch. 5.2 - Suppose y varies directly with x. Write a direct...Ch. 5.2 - Graph each direct variation equation. y=5xCh. 5.2 - Graph each direct variation equation. y=25xCh. 5.2 - Graph each direct variation equation. y=34xCh. 5.2 - An equilateral triangle is a triangle with three...Ch. 5.2 - The amount a you fill a tub varies directly with...Ch. 5.2 - For the data in each table, tell whether y varies...Ch. 5.2 - For the data in each table, tell whether y varies...Ch. 5.2 - For the data in each table, tell whether y varies...Ch. 5.2 - Suppose y varies directly with x. Write and graph...Ch. 5.2 - Suppose y varies directly with x. Write and graph...Ch. 5.2 - Suppose y varies directly with x. Write and graph...Ch. 5.2 - Tell whether the two quantities vary directly....Ch. 5.2 - Tell whether the two quantities vary directly....Ch. 5.2 - Tell whether the two quantities vary directly....Ch. 5.2 - Tell whether the two quantities vary directly....Ch. 5.2 - Tell whether the two quantities vary directly....Ch. 5.2 - Solve each exercise and enter your answer on the...Ch. 5.2 - Solve each exercise and enter your answer on the...Ch. 5.2 - Solve each exercise and enter your answer on the...Ch. 5.2 - Solve each exercise and enter your answer on the...Ch. 5.2 - The distance d a train travels varies directly...Ch. 5.3 - Find the slope and y-intercept of the graph of...Ch. 5.3 - Find the slope and y-intercept of the graph of...Ch. 5.3 - Find the slope and y-intercept of the graph of...Ch. 5.3 - Find the slope and y-intercept of the graph of...Ch. 5.3 - Find the slope and y-intercept of the graph of...Ch. 5.3 - Find the slope and y-intercept of the graph of...Ch. 5.3 - Find the slope and y-intercept of the graph of...Ch. 5.3 - Find the slope and y-intercept of the graph of...Ch. 5.3 - Find the slope and y-intercept of the graph of...Ch. 5.3 - Write an equation of a line with the given slope m...Ch. 5.3 - Write an equation of a line with the given slope m...Ch. 5.3 - Write an equation of a line with the given slope m...Ch. 5.3 - Write an equation of a line with the given slope m...Ch. 5.3 - Write an equation of a line with the given slope m...Ch. 5.3 - Write an equation of a line with the given slope m...Ch. 5.3 - Write an equation in slope-intercept form of each...Ch. 5.3 - Write an equation in slope-intercept form of each...Ch. 5.3 - Write an equation in slope-intercept form of each...Ch. 5.3 - Write an equation in slope-intercept form of the...Ch. 5.3 - Write an equation in slope-intercept form of the...Ch. 5.3 - Write an equation in slope-intercept form of the...Ch. 5.3 - Write an equation in slope-intercept form of the...Ch. 5.3 - Write an equation in slope-intercept form of the...Ch. 5.3 - Write an equation in slope-intercept form of the...Ch. 5.3 - Write an equation in slope-intercept form of the...Ch. 5.3 - Write an equation in slope-intercept form of the...Ch. 5.3 - Write an equation in slope-intercept form of the...Ch. 5.3 - Graph each equation. y=x+3Ch. 5.3 - Graph each equation. y=4x1Ch. 5.3 - Graph each equation. y=x+6Ch. 5.3 - Graph each equation. y=3x2Ch. 5.3 - Graph each equation. y=5x+1Ch. 5.3 - Graph each equation. y=7x4Ch. 5.3 - Hudson is already 40 miles away from home on his...Ch. 5.3 - When Phil started his new job, he owed the company...Ch. 5.3 - Find the slope and the y-intercept of the graph of...Ch. 5.3 - Find the slope and the y-intercept of the graph of...Ch. 5.3 - Find the slope and the y-intercept of the graph of...Ch. 5.3 - Find the slope and the y-intercept of the graph of...Ch. 5.3 - Find the slope and the y-intercept of the graph of...Ch. 5.3 - Find the slope and the y-intercept of the graph of...Ch. 5.3 - For Exercises 15, choose the correct letter. What...Ch. 5.3 - For Exercises 15, choose the correct letter. What...Ch. 5.3 - For Exercises 15, choose the correct letter. What...Ch. 5.3 - For Exercises 15, choose the correct letter. The...Ch. 5.3 - For Exercises 15, choose the correct letter....Ch. 5.3 - What is an equation of the line that passes...Ch. 5.4 - Write an equation of the line in point-slope form...Ch. 5.4 - Write an equation of the line in point-slope form...Ch. 5.4 - Write an equation of the line in point-slope form...Ch. 5.4 - Write an equation of the line in point-slope form...Ch. 5.4 - Graph each equation. y2=2(x+3)Ch. 5.4 - Graph each equation. y+3=2(x+1)Ch. 5.4 - Graph each equation. y+1=35(x+5)Ch. 5.4 - Write an equation in point-slope form for each...Ch. 5.4 - Write an equation in point-slope form for each...Ch. 5.4 - Write an equation in point-slope form for each...Ch. 5.4 - Write an equation in point-slope form of the line...Ch. 5.4 - Write an equation in point-slope form of the line...Ch. 5.4 - Write an equation in point-slope form of the line...Ch. 5.4 - Open-Ended Write an equation of a line that has a...Ch. 5.4 - Model the data in each table with a linear...Ch. 5.4 - Model the data in each table with a linear...Ch. 5.4 - Graph the line that passes through the given point...Ch. 5.4 - Graph the line that passes through the given point...Ch. 5.4 - Graph the line that passes through the given point...Ch. 5.4 - Writing Describe what you know about the graph of...Ch. 5.4 - Writing Describe how you would use the point-slope...Ch. 5.4 - Writing Describe how linear data given in a table...Ch. 5.4 - A sign says that 3 tickets cost $ 22.50 and that 7...Ch. 5.4 - For Exercises 15, choose the correct letter. Which...Ch. 5.4 - For Exercises 15, choose the correct letter. Which...Ch. 5.4 - For Exercises 15, choose the correct letter. Which...Ch. 5.4 - For Exercises 15, choose the correct letter. Which...Ch. 5.4 - For Exercises 15, choose the correct letter. The...Ch. 5.4 - The table shows the cost of a large cheese pizza...Ch. 5.5 - Find the x- and y-intercepts of the graph of each...Ch. 5.5 - Find the x- and y-intercepts of the graph of each...Ch. 5.5 - Find the x- and y-intercepts of the graph of each...Ch. 5.5 - Find the x- and y-intercepts of the graph of each...Ch. 5.5 - Find the x- and y-intercepts of the graph of each...Ch. 5.5 - Find the x- and y-intercepts of the graph of each...Ch. 5.5 - Draw a line with the given intercepts....Ch. 5.5 - Draw a line with the given intercepts....Ch. 5.5 - Draw a line with the given intercepts....Ch. 5.5 - Graph each equation using x- and y-intercepts....Ch. 5.5 - Graph each equation using x- and y-intercepts....Ch. 5.5 - Graph each equation using x- and y-intercepts....Ch. 5.5 - For each equation, tell whether its graph is a...Ch. 5.5 - For each equation, tell whether its graph is a...Ch. 5.5 - For each equation, tell whether its graph is a...Ch. 5.5 - For each equation, tell whether its graph is a...Ch. 5.5 - Graph each equation. y=6Ch. 5.5 - Graph each equation. x=2Ch. 5.5 - Graph each equation. y=7Ch. 5.5 - Write each equation in standard form using...Ch. 5.5 - Write each equation in standard form using...Ch. 5.5 - Write each equation in standard form using...Ch. 5.5 - Write each equation in standard form using...Ch. 5.5 - Write each equation in standard form using...Ch. 5.5 - Write each equation in standard form using...Ch. 5.5 - Write each equation in standard form using...Ch. 5.5 - You have only nickels and dimes in your piggy...Ch. 5.5 - For each graph, find the x- and y-intercepts. Then...Ch. 5.5 - For each graph, find the x- and y-intercepts. Then...Ch. 5.5 - Find the x- and y-intercepts of the line that...Ch. 5.5 - Find the x- and y-intercepts of the line that...Ch. 5.5 - Find the x- and y-intercepts of the line that...Ch. 5.5 - For Exercises 14, choose the correct letter. What...Ch. 5.5 - For Exercises 14, choose the correct letter. Which...Ch. 5.5 - For Exercises 14, choose the correct letter. What...Ch. 5.5 - For Exercises 14, choose the correct letter....Ch. 5.5 - The grocery store is selling eggs for $ 2 per...Ch. 5.6 - Write an equation of the line that passes through...Ch. 5.6 - Write an equation of the line that passes through...Ch. 5.6 - Write an equation of the line that passes through...Ch. 5.6 - Write an equation of the line that passes through...Ch. 5.6 - Write an equation of the line that passes through...Ch. 5.6 - Write an equation of the line that passes through...Ch. 5.6 - Determine whether the graphs of the given...Ch. 5.6 - Determine whether the graphs of the given...Ch. 5.6 - Determine whether the graphs of the given...Ch. 5.6 - Determine whether the graphs of the given...Ch. 5.6 - Determine whether the graphs of the given...Ch. 5.6 - Determine whether the graphs of the given...Ch. 5.6 - Determine whether each statement is always,...Ch. 5.6 - The slopes of vertical lines and horizontal lines...Ch. 5.6 - A vertical line is perpendicular to the x-axis.Ch. 5.6 - Write an equation of the line that passes through...Ch. 5.6 - Write an equation of the line that passes through...Ch. 5.6 - Write an equation of the line that passes through...Ch. 5.6 - Write an equation of the line that passes through...Ch. 5.6 - Write an equation of the line that passes through...Ch. 5.6 - Write an equation of the line that passes through...Ch. 5.6 - Open-Ended Write the equations of three lines...Ch. 5.6 - Open-Ended Write the equations of two lines whose...Ch. 5.6 - What is the slope of a line that is perpendicular...Ch. 5.6 - What is the slope of a line that is perpendicular...Ch. 5.6 - What is the slope of a line that is parallel to...Ch. 5.6 - What is the slope of a line that is perpendicular...Ch. 5.6 - On a map, Sandusky St. passes through coordinates...Ch. 5.6 - Writing Explain how you can determine if the...Ch. 5.6 - For Exercises 15, choose the correct letter. Which...Ch. 5.6 - For Exercises 15, choose the correct letter. Which...Ch. 5.6 - For Exercises 15, choose the correct letter. Which...Ch. 5.6 - For Exercises 15, choose the correct letter. Which...Ch. 5.6 - For Exercises 15, choose the correct letter....Ch. 5.6 - A city designer is drawing the road map for a new...Ch. 5.7 - For each table, make a scatter plot of the data....Ch. 5.7 - For each table, make a scatter plot of the data....Ch. 5.7 - Use the table below and a graphing calculator for...Ch. 5.7 - Use the table below and a graphing calculator for...Ch. 5.7 - Use the table below and a graphing calculator for...Ch. 5.7 - Use the table below and a graphing calculator for...Ch. 5.7 - Use the table below and a graphing calculator for...Ch. 5.7 - Use the table below and a graphing calculator for...Ch. 5.7 - Use the table below and a graphing calculator for...Ch. 5.7 - Use the table below and a graphing calculator for...Ch. 5.7 - In each situation, tell whether a correlation is...Ch. 5.7 - In each situation, tell whether a correlation is...Ch. 5.7 - In each situation, tell whether a correlation is...Ch. 5.7 - In each situation, tell whether a correlation is...Ch. 5.7 - Open-Ended Describe a real world situation that...Ch. 5.7 - Writing Describe the difference between...Ch. 5.7 - Writing Describe how the slope of a line relates...Ch. 5.7 - For Exercises 1-5, choose the correct letter. For...Ch. 5.7 - For Exercises 1-5, choose the correct letter. When...Ch. 5.7 - For Exercises 1-5, choose the correct letter. Mr....Ch. 5.7 - For Exercises 15, choose the correct letter. A...Ch. 5.7 - What type of correlation is represented by the...Ch. 5.7 - Use the scatter plot to answer the following...Ch. 5.8 - Describe how each graph is related to the graph of...Ch. 5.8 - Describe how each graph is related to the graph of...Ch. 5.8 - Describe how each graph is related to the graph of...Ch. 5.8 - Describe how each graph is related to the graph of...Ch. 5.8 - Graph each function by translating y=x. y=x+3Ch. 5.8 - Graph each function by translating y=x. y=x2Ch. 5.8 - Graph each function by translating y=x. y=x1.5Ch. 5.8 - Describe how each graph is related to the graph of...Ch. 5.8 - Write an equation for each translation of y=x. 1...Ch. 5.8 - Write an equation for each translation of y=x. 18...Ch. 5.8 - Graph each function by translating y=x. y=x+6Ch. 5.8 - Graph each function by translating y=x. y=x5Ch. 5.8 - Graph each function by translating y=x. y=x+3.2Ch. 5.8 - Write an equation for each translation of y=x....Ch. 5.8 - Write an equation for each translation of y=x....Ch. 5.8 - Write an equation for each translation of y=x....Ch. 5.8 - At the right is the graph of y=x. Graph each...Ch. 5.8 - At the right is the graph of y=x. Graph each...Ch. 5.8 - The table at the right shows the dosage of a...Ch. 5.8 - Reasoning Examine the expressions...Ch. 5.8 - Writing Can the absolute value of a number equal a...Ch. 5.8 - Graph each translation of y=x. Describe how the...Ch. 5.8 - Graph each translation of y=x. Describe how the...Ch. 5.8 - For Exercises 16, choose the correct letter. Which...Ch. 5.8 - For Exercises 16, choose the correct letter. How...Ch. 5.8 - For Exercises 16, choose the correct letter. What...Ch. 5.8 - For Exercises 16, choose the correct letter. Which...Ch. 5.8 - For Exercises 16, choose the correct letter. Which...Ch. 5.8 - For Exercises 16, choose the correct letter. What...Ch. 5.8 - Let f(x)=x3+1 a. What is the graph of the...

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