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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Concept explainers

Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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Textbook Question
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Chapter 5.6, Problem 29P

Writing Explain how you can determine if the graphs of two lines are parallel or perpendicular without graphing the lines.

Expert Solution & Answer
Check Mark
To determine

To explain how we can determine that the graph to two lines are parallel or perpendicular to each other.

Explanation of Solution

When the lines are perpendicular then the product of their slope is equal to -1 whereas if the lines have the same slope then they are parallel to each other.

Hence by observing the slope of line from the equation of line we can determine if the lines are parallel or perpendicular to each other.

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Chapter 5.6, Problem 28P
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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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