Math 410 Test 1. Name: Class: Date: Show your work.
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1 Name: Class: Date: Math 40 Test Show your work.. Solve the equation, if possible. Answer no solution if appropriate. Answer R if all real numbers are a solution. 3 y y = y + 3 y =. Solve the equation and check the result. 5 + x = x A slice of pie with a scoop of ice cream has,050 calories. The calories in the pie alone are 50 more than twice the calories in the ice cream alone. How many calories are in each food? calories in the ice cream, and calories in the pie. 6. A 7-foot board has been cut into two sections, one twice as long as the other. How long is each section? x = 3. Solve the formula for the specified variable. 6x y = 36; for x 4. The flag of Eritrea, a country in east Africa, is shown. The perimeter of the flag is 70 inches. What is the width of the flag? What is the area of the red triangular region of the flag? short piece: ft. longer piece: ft. 7. Kesha has collected the autographs of 6 more television celebrities than she has of movie stars. Each TV celebrity autograph is worth $75 and each movie star autograph is worth $50. Her collection is valued at $,45. How many TV celebrity autographs does she have? Width is in. Area is in. How many movie star autographs does she have? 8. Determine whether the equation y = 9x 8 has the ordered pair, as a solution. Answer yes or no. 9. Determine whether the equation 6x + 7y = 0 has the ordered pair ( 7, 6) as a solution. Answer yes or no.
2 Name: 0. To find the y-intercept of the graph of a line, substitute for x in the equation and solve for. 4. Determine the slope of the graph of the line that has the given table of solutions. x 5 7. Find the slope of the line. Give your answer in fractional form. y 3 7 (x, y) ( 5, 3) (, ) (7, 7) Give your answer in fractional form. 5. The graph below approximates the net sales of a store for the years Find the slope of the line. Find the rate of change in sales for the years $ billion per year Find the rate of change in sales for the years Find the slope of the line passing through the given points, when possible. If impossible, answer undefined. $ billion per year (, 4) and ( 6, 5) 6. Find the slope of the line, if possible. If impossible, answer undefined. Give your answer in fractional form. x=
3 Name: 7. Each semester, students enrolling at a community college must pay tuition costs of $5 per unit as well as a $50 student services fee. Write a linear equation that gives the total fees t to be paid by a student enrolling at the college and taking x units. Use your answer to find the enrollment cost for a student taking 4 units. t4 = $ 8. For the pair of equations, determine whether their graphs are parallel, perpendicular, or neither. y = 4x + 8 y = 3x 9. Write an equation of the line that passes through the points (7, 5) and (9, 5). Write your result in slope-intercept form. 0. Write the equation of the vertical line that passes through (8, 6).. Determine whether the arrow diagram defines y as a function of x. X Y Answer yes or no. Indicate a value x that is assigned more than one value of y. 3
4 Math 40 Test Answer Section SHORT ANSWER. ANS: no solution PTS:. ANS: PTS: 3. ANS: x = 6 y + 6 MSC: tgea MSC: tgea PTS: 4. ANS: 34; 867 PTS: 5. ANS: 300; 750 PTS: 6. ANS: 9; 8 PTS: 7. ANS: 9; 3 PTS: 8. ANS: yes PTS: 9. ANS: no PTS: 0. ANS: 0; y PTS: MSC: tgea MSC: tgea MSC: tgea MSC: tgea MSC: tgea04.0.review.68 MSC: tgea MSC: tgea MSC: tgea
5 . ANS: m = 3 PTS:. ANS: m = 0 PTS: 3. ANS: MSC: tgea MSC: tgea m = 4 PTS: 4. ANS: MSC: tgea m = 5 6 PTS: 5. ANS: ; 33 PTS: 6. ANS: undefined PTS: 7. ANS: t = 5x + 50; 400 PTS: 8. ANS: neither PTS: 9. ANS: y = 5 PTS: 0. ANS: x = 8 PTS:. ANS: no; 3,0, 3, PTS: MSC: tgea MSC: tgea MSC: tgea MSC: tgea MSC: tgea MSC: tgea MSC: tgea MSC: tgea
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