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All Textbook Solutions for PREALGEBRA

In the following exercises, graph each pair of equations in the same rectangular coordinate system. y=5xand y=5In the following exercises, graph each equation. y=4xIn the following exercises, graph each equation. y=2xIn the following exercises, graph each equation. y=12x+3In the following exercises, graph each equation. y=14x2In the following exercises, graph each equation. y=xIn the following exercises, graph each equation. y=xIn the following exercises, graph each equation. xy=3In the following exercises, graph each equation. x+y=5In the following exercises, graph each equation. 4x+y=2In the following exercises, graph each equation. 2x+y=6In the following exercises, graph each equation. y=1In the following exercises, graph each equation. y=5In the following exercises, graph each equation. 2x+6y=12In the following exercises, graph each equation. 5x+2y=10In the following exercises, graph each equation. x=3In the following exercises, graph each equation. x=4Motor home cost The Robinsons rented a motor home for one week to go on vacation. It cost them $594 plus SO.32 per mile to rent the motor home, so the linear equation y = 594 + O.3I gives the cost. y. for driving x miles. Calculate the rental cost for driving 400. 800, and 1.200 miles, and then graph the line.Weekly earning At the art gallery where he works, Salvador gets paid $200 per week plus 159 of the sales he makes, so the equation y = 200 +0. 15x gives the amount v he earns for selling x dollars of artwork. Calculate the amount Salvador earns for selling $900. $1,600, and $2.000. and then graph the line.Explain how you would choose three x-values to make a table to graph the line y=15x2 .What is the difference between the equations of a vertical and a horizontal line?Find the x- and y-intercepts of the graph: x — y = 2.Find the x- and y-intercepts of the graph: 2x + 3y = 6.Find the intercepts: 3x + y = 12Find the intercepts: x+4y= 8Find the intercepts of the line: 3x—4y = 12.Find the intercepts of the line: 2x—4y = 8.Graph the line using the intercepts: x—2y = 4.Graph the line using the intercepts: —x + 3y = 6.Graph the line using the intercepts: 5x—2y = 10.Graph the line using the intercepts: 3x—4y = 12.Graph using the intercepts: y = 3x.Graph using the intercepts: y = - x.Identify the most convenient method to graph each line: (a) 3x+2y=12 (b) y=4 (c) y=15x4 (d) x=7Identify the most convenient method to graph each line: (a) x=6(b) y=34x+1 (c) y=8 (d) 4x3y=1In the following exercises, find the x- and y- intercepts.In the following exercises, find the x- and y- intercepts.In the following exercises, find the x- and y- intercepts.In the following exercises, find the x- and y- intercepts.In the following exercises, find the x- and y- intercepts.In the following exercises, find the x- and y- intercepts.In the following exercises, find the x- and y- intercepts.In the following exercises, find the x- and y- intercepts.In the following exercises, find the x- and y- intercepts.In the following exercises, find the x- and y- intercepts.In the following exercises, find the intercepts. x+y=4In the following exercises, find the intercepts. x+y=3In the following exercises, find the intercepts. x+y=2In the following exercises, find the intercepts. x+y=5In the following exercises, find the intercepts. . xy=5In the following exercises, find the intercepts. xy=1In the following exercises, find the intercepts. xy=3In the following exercises, find the intercepts. xy=4In the following exercises, find the intercepts. x+2y=8In the following exercises, find the intercepts. x+2y=10In the following exercises, find the intercepts.In the following exercises, find the intercepts. 3x+y=9In the following exercises, find the intercepts. x3y=12In the following exercises, find the intercepts. x2y=8In the following exercises, find the intercepts. 4xy=8In the following exercises, find the intercepts. 5xy=5In the following exercises, find the intercepts. Y13 2x+5y=10In the following exercises, find the intercepts. 2x+3y=6In the following exercises, find the intercepts. 3x2y=12In the following exercises, find the intercepts. 3x5y=30In the following exercises, find the intercepts. y=13x1In the following exercises, find the intercepts.In the following exercises, find the intercepts. y=15x+2In the following exercises, find the intercepts. y=13x+4In the following exercises, find the intercepts. y=3xIn the following exercises, find the intercepts. y=2xIn the following exercises, find the intercepts. y=4xIn the following exercises, find the intercepts. y=5xIn the following exercises, find the intercepts. x+5y=10In the following exercises, find the intercepts. x+4y=8In the following exercises, find the intercepts. x+2y=4In the following exercises, find the intercepts. x+2y=6In the following exercises, graph using the intercepts.In the following exercises, graph using the intercepts. x+y=5In the following exercises, graph using the intercepts. x+y=3In the following exercises, graph using the intercepts. x+y=1In the following exercises, graph using the intercepts. xy=1In the following exercises, graph using the intercepts. xy=2In the following exercises, graph using the intercepts. xy=4In the following exercises, graph using the intercepts. xy=3In the following exercises, graph using the intercepts. 4x+y=4In the following exercises, graph using the intercepts. 3x+y=3In the following exercises, graph using the intercepts. 3xy=6In the following exercises, graph using the intercepts. 2xy=8In the following exercises, graph using the intercepts. 2x+4y=12.In the following exercises, graph using the intercepts. 3x+2y=12In the following exercises, graph using the intercepts. . 3x2y=6In the following exercises, graph using the intercepts. 5x2y=10In the following exercises, graph using the intercepts. . 2x5y=20In the following exercises, graph using the intercepts. 3x4y=12In the following exercises, graph using the intercepts. y=2xIn the following exercises, graph using the intercepts. y=4xIn the following exercises, graph using the intercepts. y=xIn the following exercises, graph using the intercepts. y=3xIn the following exercises, identify the most convenient method to graph each line. x=2In the following exercises, identify the most convenient method to graph each line. y=4In the following exercises, identify the most convenient method to graph each line. y=5In the following exercises, identify the most convenient method to graph each line. x=3In the following exercises, identify the most convenient method to graph each line. y=3x+4In the following exercises, identify the most convenient method to graph each line. y=5x+2In the following exercises, identify the most convenient method to graph each line. xy=5In the following exercises, identify the most convenient method to graph each line. xy=1In the following exercises, identify the most convenient method to graph each line. y=23x1In the following exercises, identify the most convenient method to graph each line. y=45x3In the following exercises, identify the most convenient method to graph each line. y=3In the following exercises, identify the most convenient method to graph each line. y=1In the following exercises, identify the most convenient method to graph each line. 3x2y=12In the following exercises, identify the most convenient method to graph each line. 2x5y=10In the following exercises, identify the most convenient method to graph each line. y=14x+3In the following exercises, identify the most convenient method to graph each line.Road trip Damien is driving from Chicago to Denver, a distance of 1.000 miles. The x-axis on the graph below shows the time in hours since Damien left Chicago. The y-axis represents the distance he has left to drive. (a) Find the x- and v- intercepts (b) Explain what the x- and y- intercepts mean for Damien.Road trip Ozzie filled up the gas tank of his truck and went on a road trip. The x-axis on the graph shows the number of miles Ozzie drove since filling up. The y-axis represents the number of gallons of gas in the truck’s gas tank. (a) Find the x- and y- intercepts. (b) Explain what the x- and y- intercepts mean for Ozzie.How do you find the x-intercept of the graph of 3x—2y = 6?How do you find the v-intercept of the graph of 5x—y= 10?Do you prefer to graph the equation 4x + y = -4 by plotting points or interceptsDo you prefer to graph the equation y=23x2 by plotting points or intercepts? Why?What is the slope of the line on the geoboard shown?What is the slope of the line on the geoboard shown?What is the slope of the line on the geoboard?What is the slope of the line on the geoboard?Use a geoboard to model a line with the given slope: m=13 .Use a geoboard to model a line with the given slope: m=32 .Use a geoboard to model a line with the given slope: m=32Use a geoboard to model a line with the given slope: m=13Find the slope of the line:Find the slope of the line:Find the slope of the line.Find the slope of the line:Find the slope of the line:Find the slope of the line:Find the slope of the line: x = —4.Find the slpoe of the line: y=7Find the slope of the line through the given points: (8,5) and (6. 3).Find the slope of the line through the given points: (1. 5) and (5. 9).Find the slope of the line through the pair of points: (—3. 4) and (2, —1).Find the slope of the line through the pair of points: (—2. 6) and (—3. —4).Graph the line passing through the point with the given slope: (2,2),m=43Graph the line passing through the point with the given slope: (—2. 3), m=14Graph the line with the given intercept and slope: y-intercept 4. m=52Graph the line with the given intercept and slope: x -intercept —3. m=34Graph the line with the given intercept and slope: (—2. 1). m =3.Graph the line with the given intercept and slope: (4. —2). m = —2.Find the slope given rise and run: A roof with a rise = 14 and run = 24.Find the slope given rise and run: A roof with a rise = 15 and run = 36.Find the slope of the pipe: The pipe slopes down - 13 inch per foot.Find the slope of the pipe: The pipe slopes down 34 inch per yard.In the following exercises, find the slope modeled on each geoboard.In the following exercises, find the slope modeled on each geoboard.In the following exercises, find the slope modeled on each geoboard.In the following exercises, find the slope modeled on each geoboard.In the following exercises, model each slope. Draw a picture to show your results. 23In the following exercises, model each slope. Draw a picture to show your results. 34In the following exercises, model each slope. Draw a picture to show your results. 14In the following exercises, model each slope. Draw a picture to show your results. 43In the following exercises, model each slope. Draw a picture to show your results. 12In the following exercises, model each slope. Draw a picture to show your results. 34In the following exercises, model each slope. Draw a picture to show your results. 23In the following exercises, model each slope. Draw a picture to show your results. 32In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line shownIn the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line. y=3In the following exercises, find the slope of each line. y=1In the following exercises, find the slope of each line. x=4In the following exercises, find the slope of each line. x=2In the following exercises, find the slope of each line. y=2In the following exercises, find the slope of each line. y=3In the following exercises, find the slope of each line. x=5In the following exercises, find the slope of each line. x=4In the following exercises, use the slope formula to find the slope of the line between each pair of points. (1,4)(3,9)In the following exercises, use the slope formula to find the slope of the line between each pair of points. (2,3),(5,7)In the following exercises, use the slope formula to find the slope of the line between each pair of points. (0,3),(4,6)In the following exercises, use the slope formula to find the slope of the line between each pair of points. (0,1)(5,4)In the following exercises, use the slope formula to find the slope of the line between each pair of points. (2,5),(4,0)In the following exercises, use the slope formula to find the slope of the line between each pair of points. (3,6),(8,0)In the following exercises, use the slope formula to find the slope of the line between each pair of points. (3,3)(2,5)In the following exercises, use the slope formula to find the slope of the line between each pair of points. (2,4),(3,1)In the following exercises, use the slope formula to find the slope of the line between each pair of points. (1,2),(2,5)In the following exercises, use the slope formula to find the slope of the line between each pair of points. (2,1)(6,5)In the following exercises, use the slope formula to find the slope of the line between each pair of points. (4,5),(1,2)In the following exercises, use the slope formula to find the slope of the line between each pair of points. (3,6),(2,2)In the following exercises, graph the line given a point and the slope. (1,2);m=34In the following exercises, graph the line given a point and the slope. (1,1);m=12In the following exercises, graph the line given a point and the slope. (2,5);m=13In the following exercises, graph the line given a point and the slope. (1,4);m=12In the following exercises, graph the line given a point and the slope. (3,4);m=32In the following exercises, graph the line given a point and the slope. (2,5);m=54In the following exercises, graph the line given a point and the slope. (1,4);m=43In the following exercises, graph the line given a point and the slope. (3,5);m=32In the following exercises, graph the line given a point and the slope. (0,3);m=25In the following exercises, graph the line given a point and the slope. (0,5);m=43In the following exercises, graph the line given a point and the slope. (2,0);m=34In the following exercises, graph the line given a point and the slope. (1,0);m=15In the following exercises, graph the line given a point and the slope. (3,3);m=2In the following exercises, graph the line given a point and the slope. (4,2);m=4In the following exercises, graph the line given a point and the slope. (1,5);m=3In the following exercises, graph the line given a point and the slope. (2,3);m=1In the following exercises, sole these slope applications. Slope of a roof A fairly easy way to determine the slope is to take a 12-inch level and set it on one end on the roof surface. Then take a tape measure or ruler, and measure from the other end of the level down to the roof surface. You can use these measurements to calculate the slope of the roof. What is the slope of the roof in this picture?In the following exercises, solve these slope applications. What is the slope of the roof shown?In the following exercises, sole these slope applications. Road grade A local road has a grade of 6. The grade of a road is its slope expressed as a percent. (a) Find the slope of the road as a fraction and then simplify the fraction. (b) What rise and run would reflect this slope or grade?In the following exercises, solve these slope applications. Highway grade A local road rises 2 feet for every 50 feet of highway. (a) What is the slope of the highway? (b) The grade of a highway is its slope expressed as a percent. What is the grade of this highway?Wheelchair ramp The rules for wheelchair ramps require a maximum 1 inch rise for a 12 inch run. (a) How long must the ramp be to accommodate a 24-inch rise to the door? (b) Draw a model of this ramp.Wheelchair ramp A I-inch rise for a 16-inch run makes it easier for the wheelchair rider to ascend the ramp. (a) How long must the ramp be to easily accommodate a 24-inch rise to the door? (b) Draw a model of this ramp.What does the sign of the slope tell you about line?How does the graph of a line with slope m=12 differ from the graph of a line with slope m=2 ?Why is the slope of a vertical line undefined?Explain how you can graph a line given a point and its slope.In the following exercises, plot each point in a rectangular coordinate system. (1,3)(3,1)In the following exercises, plot each point in a rectangular coordinate system. (2,5),(5,2)In the following exercises plot each point in a rectangular coordinate system and the quadrant in which the point is located (1,5) (b) (3,4) (c) (2,-3) (d) (1,52)In the following exercises plot each point in a rectangular coordinate system and the quadrant in which the point is located. (a) (3,2) (b) (4,1) (c ) (5,4) (d) (2,103)In the following exercises, find the slope of each line shown.In the following exercises, name the ordered pair of each point shown in the rectangular coordinate system.In the following exercises, name the ordered pair of each point shown in the rectangular coordinate system.In the following exercises, name the ordered pair of each point shown in the rectangular coordinate system.In the following exercises, find the ordered pairs that are solutions to the given equation. 5x+y=10 (a) (5,1) (b) (2,0) (c) (4,-10)In the following exercises, find the ordered pairs that are solutions to the given equation. y=6x2 (a) (1,4) (b) (13,0) (c) (6,2)In the following exercises, complete the table to find solutions to each linear equation. y=4x1In the following exercises, complete the table to find solutions to each linear equation. y=12x+3In the following exercises, complete the table to find solutions to each linear equation. x+2y=5In the following exercises, complete the table to find solutions to each linear equation. 3x2y=6In the following exercises, find three solutions to each linear equation. x+y=3In the following exercises, find three solutions to each linear equation. x+y=4In the following exercises, find three solutions to each linear equation. y=3x+1In the following exercises, find three solutions to each linear equation. y=x1In the following exercises, for each ordered pair, decide (a) if the ordered pair is a solution to the equation. (b) if the point is on the line. y=x+4 (a)(0,4) (b)(-1,3) (c ) (2,2)(d)(-2,6)In the following exercises, for each ordered pair, decide (a) if the ordered pair is a solution to the equation. (b) if the point is on the line. y=23x1 (a) (0,-1) (b) (3,1) (c ) (-3,-3) (d) (6,4)In the following exercises, graph by plotting points. y=4x3In the following exercises, graph by plotting points. y=3xIn the following exercises, graph by plotting points. 2x+y=7In the following exercises, graph the vertical or horizontal lines. y=2In the following exercises, graph the vertical or horizontal lines. x=3In the following exercises, find the x- and y-intercepts.In the following exercises, find the x- and y-intercepts.In the following exercises, find the intercepts. x+y=5In the following exercises, find the intercepts. xy=1In the following exercises, find the intercepts. y=34x12In the following exercises, find the intercepts. y=3xIn the following exercises, graph using the intercepts. x+3y=3In the following exercises, graph using the intercepts. x+y=2In the following exercises, identify the most convenient method to graph each line. x=5In the following exercises, identify the most convenient method to graph each line. y=3In the following exercises, identify the most convenient method to graph each line. 2x+y=5In the following exercises, identify the most convenient method to graph each line. xy=2In the following exercises, identify the most convenient method to graph each line. y=12x+2In the following exercises, identify the most convenient method to graph each line. y=34x1In the following exercises, find the slope modeled on each geoboard.In the following exercises, find the slope modeled on each geoboard.In the following exercises, find the slope modeled on each geoboard.In the following exercises, find the slope modeled on each geoboard.In the following exercises, model each slope. Draw a picture to show your results. 13In the following exercises, model each slope. Draw a picture to show your results. 32In the following exercises, model each slope. Draw a picture to show your results. 23In the following exercises, model each slope. Draw a picture to show your results. 12In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line shown.In the following exercises, find the slope of each line. y=2In the following exercises, find the slope of each line. x=5In the following exercises, find the intercepts. x=3In the following exercises, find the slope of each line. y=1In the following exercises, use the slope formula to find the slope of the line between each pair of points. (2,1),(4,5)In the following exercises, use the slope formula to find the slope of the line between each pair of points. (1,1),(0,5)In the following exercises, use the slope formula to find the slope of the line between each pair of points. (3,4),(4,1)In the following exercises, use the slope formula to find the slope of the line between each pair of points. (5,2),(3,2)In the following exercises, graph the line given a point and the slope. (2,2);m=52In the following exercises, graph the line given a point and the slope. (3,4);m=13In the following exercise, solve the slope application. A roof has rise 10 feet and run 15 feet. What is its slope?Plot and label these points: (a) (2, 5) (b) (—1. —3) (c) (—4. 0) (d)(3, —5) (e) (—2. 1)Name the ordered pair for each point shown.Find the x-intercept and y-intercept on the line shown. .Find the x-intercept and y-intercept of the equation 3x—y= 6.Is (1, 3) a solution to the equation x+ 4y= 12? How do you know?Complete the table to find four solutions to the equation y= —x+1.Complete the table to find three solutions to the equation 4x+y= 8In the following exercises, find three solutions to each equation and then graph each line. y=3xIn the following exercises, find three solutions to each equation and then graph each line. 2x+3y=6In the following exercises, find the slope of each line.In the following exercises, find the slope of each line.In the following exercises, find the slope of each line. Use the slope formula to find the slope of the line between (0. —4) and (5. 2).In the following exercises, find the slope of each line. Find the slpoe of the line y=2