Pearson eText A Problem Solving Approach for Mathematics for Elementary School Teachers -- Instant Access (Pearson+)
Pearson eText A Problem Solving Approach for Mathematics for Elementary School Teachers -- Instant Access (Pearson+)
13th Edition
ISBN: 9780136880141
Author: Rick Billstein, Shlomo Libeskind
Publisher: PEARSON+
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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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Chapter 8.4A, Problem 1A

The graph of y = m x is given in the following figure. Sketch the graphs of (a) and (b) on the same sets of axes and graphs of (c) and (d) on different set of axes. Explain your answers.

a. y = m x + 3

b. y = m x − 3

c. y = 3 m x

d. y = − 3 m x

Chapter 8.4A, Problem 1A, The graph of y=mx is given in the following figure. Sketch the graphs of a and b on the same sets of

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Chapter 8 Solutions

Pearson eText A Problem Solving Approach for Mathematics for Elementary School Teachers -- Instant Access (Pearson+)

Ch. 8.1 - Student were asked to write an algebraic...Ch. 8.1 - a. Choose seven consecutive term in any arithmetic...Ch. 8.1 - A teacher instructed her class as follows: Take...Ch. 8.1 - A teacher instructed her class to take any number...Ch. 8.1 - Give an example of geometric sequence whose first...Ch. 8.1 - Joel says that there is no reason to have more...Ch. 8.1 - A student wonders if sets can ever be considered...Ch. 8.1 - A student wants to know how can she prove that a...Ch. 8.1 - Prob. 9MCCh. 8.1 - Prob. 11MC
Ch. 8.1 - Prob. 1NAEPCh. 8.1 - 2+n 5 3+n 6 4+n 7 5+n 8 What number does n...Ch. 8.1 - Prob. 3NAEPCh. 8.1 - Melissa saves money for six weeks to buy a...Ch. 8.1A - Translate the following phrases into algebraic...Ch. 8.1A - Prob. 2ACh. 8.1A - In the tile pattern for an arithmetic sequence of...Ch. 8.1A - Prob. 4ACh. 8.1A - In a college, there are P professors and S...Ch. 8.1A - Suppose a class has g girls and b boys, and there...Ch. 8.1A - Ryan is building matchstick sequences as shown....Ch. 8.1A - Prob. 8ACh. 8.1A - For a particular event, a student pays 5 per...Ch. 8.1A - Prob. 10ACh. 8.1A - Prob. 11ACh. 8.1A - Prob. 12ACh. 8.1A - Find the first term and the difference in an...Ch. 8.1A - Prob. 14ACh. 8.1A - A ball is dropped from a height of 10 ft and...Ch. 8.1A - Jake bought contact lenses and was told to wear...Ch. 8.1A - Construct a Fibonacci-like sequence that is also...Ch. 8.1A - Prob. 18ACh. 8.1B - Translate the following phrases into algebraic...Ch. 8.1B - Prob. 2ACh. 8.1B - Discover a possible tile pattern in the following...Ch. 8.1B - In the following descriptions, write an expression...Ch. 8.1B - Prob. 5ACh. 8.1B - Suppose there are c chairs and t tables in a...Ch. 8.1B - Prob. 7ACh. 8.1B - Prob. 8ACh. 8.1B - Prob. 9ACh. 8.1B - Matt has twice as many as stickers as David. If...Ch. 8.1B - Prob. 11ACh. 8.1B - Prob. 12ACh. 8.1B - Find the first term and the difference in an...Ch. 8.1B - Find the first term in a geometric sequence if the...Ch. 8.1B - A ball is dropped from a height of 20 meters and...Ch. 8.1B - Consider the following arithmetic sequences....Ch. 8.1B - Prob. 18ACh. 8.2 - Students were asked to find three consecutive...Ch. 8.2 - Prob. 2MCCh. 8.2 - Create an equation with x on both sides of the...Ch. 8.2 - Prob. 4MCCh. 8.2 - Prob. 5MCCh. 8.2 - Prob. 6MCCh. 8.2 - Prob. 7MCCh. 8.2 - Prob. 8MCCh. 8.2 - A student was told that in order to check a...Ch. 8.2 - Prob. 10MCCh. 8.2 - Olivier said that his teacher would not accept 5=x...Ch. 8.2 - A student claimed that the equation 2x=3y has...Ch. 8.2 - Prob. 13MCCh. 8.2 - Prob. 14MCCh. 8.2 - Prob. 15MCCh. 8.2 - Prob. 16MCCh. 8.2 - Prob. 17MCCh. 8.2 - Prob. 18MCCh. 8.2 - Write an algebraic equation relating the variables...Ch. 8.2 - a. Show that the sum of every three consecutive...Ch. 8.2 - Prob. 21MCCh. 8.2 - Prob. 22MCCh. 8.2 - Prob. 1NAEPCh. 8.2 - Prob. 2NAEPCh. 8.2 - Archaeologists measure the lengths of certain...Ch. 8.2 - Jessica makes clay bowls. The following equation...Ch. 8.2A - Consider the balances: What is the value of each...Ch. 8.2A - Prob. 2ACh. 8.2A - Solve each of the following if x is a real number....Ch. 8.2A - Ryan is building a matchstick sequence so that one...Ch. 8.2A - For a particular event, 812 tickets were sold for...Ch. 8.2A - An estate of 486,000 is left to three siblings....Ch. 8.2A - A 10-ft board is to be cut into three pieces: two...Ch. 8.2A - Prob. 8ACh. 8.2A - Miriam is 10 years older than Ricardo. Two years...Ch. 8.2A - In a college, 20 times as many undergraduate...Ch. 8.2A - A farmer has 1200 yd of fencing to enclose a...Ch. 8.2A - The sum of three consecutive terms in the...Ch. 8.2A - Carlos bought 430 feet of fencing. With this, he...Ch. 8.2A - The sum of four consecutive natural numbers is...Ch. 8.2B - Consider the following balances: a. Which shape...Ch. 8.2B - Prob. 2ACh. 8.2B - Prob. 3ACh. 8.2B - Prob. 4ACh. 8.2B - Prob. 5ACh. 8.2B - Prob. 6ACh. 8.2B - Prob. 7ACh. 8.2B - Matt has twice as many stickers as David. How many...Ch. 8.2B - Prob. 9ACh. 8.2B - Prob. 10ACh. 8.2B - Prob. 11ACh. 8.2B - Prob. 12ACh. 8.2B - Prob. 13ACh. 8.3 - Prob. 1MCCh. 8.3 - Prob. 2MCCh. 8.3 - Prob. 4MCCh. 8.3 - Prob. 7MCCh. 8.3 - Prob. 8MCCh. 8.3 - Prob. 9MCCh. 8.3 - Prob. 10MCCh. 8.3 - Prob. 11MCCh. 8.3 - Prob. 12MCCh. 8.3 - Prob. 13MCCh. 8.3 - Prob. 14MCCh. 8.3 - Prob. 15MCCh. 8.3 - Prob. 16MCCh. 8.3 - Prob. 17MCCh. 8.3 - Prob. 18MCCh. 8.3 - Refer to the School Book page on page 456 and...Ch. 8.3 - Prob. 20MCCh. 8.3 - Prob. 21MCCh. 8.3 - Prob. 22MCCh. 8.3 - Prob. 23MCCh. 8.3 - Prob. 24MCCh. 8.3 - Prob. 1NAEPCh. 8.3 - Prob. 2NAEPCh. 8.3 - Prob. 3NAEPCh. 8.3A - Prob. 1ACh. 8.3A - Which of the following are function from the set...Ch. 8.3A - a. Draw an arrow diagram of a function with domain...Ch. 8.3A - Suppose f(x)=2x+1 and the domain {0,1,2,3,4}....Ch. 8.3A - Prob. 5ACh. 8.3A - a. Make an arrow diagram for each of the...Ch. 8.3A - The dosage of a certain drug is related to the...Ch. 8.3A - For each of the following, guess what might be...Ch. 8.3A - Quick-Talk advertises monthly cellualr...Ch. 8.3A - For each of the following sequenceseither...Ch. 8.3A - Consider the following two function machines. Find...Ch. 8.3A - In problem 11, find the all inputs for which the...Ch. 8.3A - a. Repeat exercise 11 when the bottom machine...Ch. 8.3A - Consider the function f(x)=x+b, where b is a...Ch. 8.3A - Let t(n) be the function that assigns the nth term...Ch. 8.3A - a. If f(x)=x2 and the output is 2, find all...Ch. 8.3A - Consider a function machine that accepts inputs as...Ch. 8.3A - The following graph shows the relationship between...Ch. 8.3A - A ball is shot out of a cannon at ground level....Ch. 8.3A - Prob. 20ACh. 8.3A - Prob. 21ACh. 8.3A - Which of the following equations or inequalities...Ch. 8.3A - Which of the following are graphs of fucntions and...Ch. 8.3B - The following sets of ordered pairs are functions....Ch. 8.3B - Prob. 2ACh. 8.3B - Prob. 4ACh. 8.3B - Prob. 5ACh. 8.3B - Prob. 6ACh. 8.3B - Prob. 7ACh. 8.3B - Prob. 8ACh. 8.3B - Prob. 9ACh. 8.3B - Prob. 10ACh. 8.3B - Prob. 11ACh. 8.3B - In problem 11, find the all inputs for which the...Ch. 8.3B - Prob. 13ACh. 8.3B - Prob. 14ACh. 8.3B - Prob. 15ACh. 8.3B - Prob. 16ACh. 8.3B - Prob. 17ACh. 8.3B - Prob. 18ACh. 8.3B - Prob. 19ACh. 8.3B - Prob. 20ACh. 8.3B - Prob. 21ACh. 8.3B - Prob. 22ACh. 8.3B - Prob. 23ACh. 8.4 - In this chapter, an arithmetic sequence was...Ch. 8.4 - Prob. 2MCCh. 8.4 - Prob. 3MCCh. 8.4 - Prob. 4MCCh. 8.4 - Prob. 5MCCh. 8.4 - Prob. 6MCCh. 8.4 - Prob. 7MCCh. 8.4 - Prob. 8MCCh. 8.4 - Prob. 9MCCh. 8.4 - Prob. 10MCCh. 8.4 - Janis noticed that in the simultaneous equations...Ch. 8.4 - Prob. 12MCCh. 8.4 - Prob. 13MCCh. 8.4 - Prob. 14MCCh. 8.4 - Prob. 15MCCh. 8.4 - Prob. 16MCCh. 8.4 - Prob. 17MCCh. 8.4 - Prob. 18MCCh. 8.4 - Prob. 19MCCh. 8.4 - Prob. 20MCCh. 8.4 - Prob. 1NAEPCh. 8.4 - Prob. 2NAEPCh. 8.4 - Prob. 3NAEPCh. 8.4 - Prob. 4NAEPCh. 8.4A - The graph of y=mx is given in the following...Ch. 8.4A - Prob. 2ACh. 8.4A - Find the x-intercept and y-intercept for the...Ch. 8.4A - Prob. 4ACh. 8.4A - Write each of the following equations in...Ch. 8.4A - For each of the following, write the equation of...Ch. 8.4A - Find the coordinates of two other collinear points...Ch. 8.4A - Prob. 8ACh. 8.4A - Prob. 9ACh. 8.4A - Find the equation for each of the following lines....Ch. 8.4A - For each of the following, find the slope, if...Ch. 8.4A - Write the equation of each line in exercise 11....Ch. 8.4A - Wildlife experts found that the number of chirps C...Ch. 8.4A - The lines AB and BC shown in the figure are graph...Ch. 8.4A - What do the graphs of the following equations have...Ch. 8.4A - Suppose a car is travelling at constant speed of...Ch. 8.4A - Solve each of the following systems, if possible....Ch. 8.4A - The owner of a 5000-gal oil truck loads the truck...Ch. 8.4A - Josephines bank contains 27 coins. If all the...Ch. 8.4B - Prob. 2ACh. 8.4B - ASSESSMENT 8-4B Find the x-intercept and...Ch. 8.4B - Prob. 4ACh. 8.4B - Prob. 5ACh. 8.4B - Prob. 6ACh. 8.4B - ASSESSMENT 8-4B Find the coordinates of two other...Ch. 8.4B - Prob. 8ACh. 8.4B - Prob. 9ACh. 8.4B - ASSESSMENT 8-4B Find the equation for each of the...Ch. 8.4B - ASSESSMENT 8-4B For each of the following, find...Ch. 8.4B - ASSESSMENT 8-4B Write the equation of each line in...Ch. 8.4B - Prob. 13ACh. 8.4B - Prob. 14ACh. 8.4B - Prob. 15ACh. 8.4B - Prob. 16ACh. 8.4B - Solve each of the following systems, if possible....Ch. 8.CR - Each of the following is a geometric sequence....Ch. 8.CR - Prob. 2CRCh. 8.CR - a. If the first two terms of an arithmetic...Ch. 8.CR - There are 13 times as many students as professors...Ch. 8.CR - Write a sentence that gives the same information...Ch. 8.CR - Write an equation to find the number of feet given...Ch. 8.CR - The sum of n whole numbers is S. If each number is...Ch. 8.CR - I am thinking a whole number. If I divide it by...Ch. 8.CR - a. Think of a number. Add 17. Double the result....Ch. 8.CR - Find all the values of x that satisfy the...Ch. 8.CR - Mike has 3 times as many baseball cards as Jordan,...Ch. 8.CR - Jeannie has 10 books overdue at the library. She...Ch. 8.CR - Three children deliver all the newspapers in a...Ch. 8.CR - Which of the following sets of ordered pairs are...Ch. 8.CR - Prob. 15CRCh. 8.CR - Prob. 16CRCh. 8.CR - Prob. 17CRCh. 8.CR - Prob. 18CRCh. 8.CR - Prob. 19CRCh. 8.CR - Prob. 20CRCh. 8.CR - Graph each of the following equations: a. y=-2x+5...Ch. 8.CR - Prob. 22CRCh. 8.CR - Solve the following equations if possible: a....Ch. 8 - NOW TRY THIS Noah has some white square tiles and...Ch. 8 - Prob. 2NTCh. 8 - NOW TRY THIS What are the values of and in...Ch. 8 - NOW TRY THIS Solve the Newspaper Delivery problem...Ch. 8 - NOW TRY THIS Determine which of the following are...Ch. 8 - NOW TRY THIS a. Use the slope formula to find the...

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