MAT-121 Written Assignment 2.docx - MAT-121 COLLEGE ALGEBRA...

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MAT-121: COLLEGE ALGEBRA Written Assignment 2 2.5 points each SECTION 2.1 Algebraic For the following exercise, solve the equation for y in terms of x 1. 8 x + 3 y = 11 3 y =− 8 x + 11 y = 8 x + 11 3 For the following exercise, find the distance between the two points. Simplify your answer, and write the exact answer in simplest radical form for an irrational answer. 2. ( 0, 5 ) and ( 7,4 ) ( 7 0 ) 2 + [ 4 −(− 5 ) ] 2 ( 7 ) 2 + ( 9 ) 2 49 + 81 130 Graphical For exercises 3 and 4 , plot the three points on the given coordinate plane. State whether the three points you plotted appear to be collinear (on the same line). 3. ( 10,4 ) , ( 4, 2 ) , ( 3,2 ) (Use a scale of 2 for each axis.) The three points are noncollinear. . Copyright © 2019 by Thomas Edison State University. All rights reserved.
4. Name the quadrant in which the following points would be located. If the point is on an axis, name the axis.
Numeric For the following exercise, find and plot the x - and y -intercepts, and graph the straight line based on those two points. 5. 2 x + 6 y = 18 2 x + 6 ( 0 ) = 18 2 x = 18 x =− 9 (-9,0) 2 ( 0 ) + 6 y = 18 6 y = 18 y = 3 (0,3) For the following exercise, use the graph to the right. 6. Find the distance between the two endpoints using the distance formula. Round to three decimal places. (Use a scale of 1 for each axis.) Copyright © 2019 by Thomas Edison State University. All rights reserved.
7. A woman drove 15 miles directly east from her home, made a right turn at an intersection, and then traveled 8 miles south to her business. If a road was made directly from her home to her business, what would its distance be to the nearest tenth of a mile?
Copyright © 2019 by Thomas Edison State University. All rights reserved.
SECTION 2.2 Algebraic For the following exercise, solve the equation for x . 8. 3 x 2 + 2 5 = 7 x 10 3 4 20 ( 3 x 2 + 2 5 ) = ( 7 x 10 3 4 ) 20 30 x + 8 = 14 x 15 16 x =− 23 x = 23 16 For the following exercise, solve each rational equation for x . State all x -values that are excluded from the solution set. 9. 4 + 5 2 x 7 = x 4 2 x 7 2 x 7 ( 4 + 5 2 x 7 ) = ( x 4 2 x 7 ) 2 x 7 8 x 28 + 5 = x 4 8 x 23 = x 4 7 x = 19 x = 19 7 For exercises 10 and 11 , find the equation of the line using the point-slope formula. Write all the final equations using the slope-intercept form. 10. ( 3,0 ) with a slope of 3 2 y 0 = 3 2 ( x 3 ) y = 3 ( x 3 ) 2 11. Perpendicular to 5 y = 2 x 6 and passes through the point (-1, 5) 5 y = 2 x 6 y 5 = 2 5 [ x −(− 1 ) ] y = 2 5 x 6 y 5 = 2 5 x + 1 Copyright © 2019 by Thomas Edison State University. All rights reserved.

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