Linear Equations
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
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3. Find the x- and y-intercepts and then graph each equation: 4x - 36 =12 | 3. (3,0); (0,-4)
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4. Find the x- and y-intercepts and then graph each equation: 5x+ 76 = 28 | 4. (28/5,0); (0,4)
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5. Find the x- and y-intercepts and then graph each equation: 2x + 56 = 20 | 5. (10,0); (0,4)
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6. Find the x- and y-intercepts and then graph each equation: x - 4y + 8 | 6. (8,0); (0,-2)
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9. Find the slope of each line: Thru (-1,2) and (4,-5) | 9. -7/5
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10. Find the slope of each line: Thru (0,3) and (-2, 4) | 10. -1/2
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11. Find the slope of each line: y = 2x + 3 | 11. 2
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12. Find the slope of each line: 3x - 46 = 5 | 12, 3/4
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13. Find the slope of each line: x = 5 | 13. undefined
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14. Find the slope of each line: Parallel to 3y = 2x = 5 | 14. 2/3
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15. Find the slope of each line: Perpendicular to 3x - y = 4 | 15. -1/3
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16. Find the slope of each line: Thru (-1,5) and (-1, -4) | 16. undefined
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17. Find the slope of each line: Picture of Graph | 17. -1/3
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18. Find the slope of each line: Picture of Graph | 18. -1
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19. Tell Whether each line has Positive, negative, 0, or undefined slope: Picture of Graph | 19. positive
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20. Tell Whether each line has Positive, negative, 0, or undefined slope: Picture of Graph | 20. negative
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21. Tell Whether each line has Positive, negative, 0, or undefined slope: Picture of Graph | 21. undefined
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22. Tell Whether each line has Positive, negative, 0, or undefined slope: Picture of Graph | 22. 0
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25. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form Slope -1/3; y-int (0,-1) | 25. (a) y = -1/3x -1
(b) x + 3y = -3
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26. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form Slope 0; y-int (0, -2) | 26. (a) y = -2
(b) y = -2
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27. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form Slope -4/3; thru (2,7) | 27. (a) y = -4/3x + 29/3
(b) 4x + 3y = 29
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28. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form Slope 3; thru (-1,4) | 28. (a) y = 3x + 7
(b) 3x - y = -7
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29. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form Vertical; thru (2,5) | 29. (a) not possible
(b) x - 2
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30. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form Thru (2,-5) and (1,4) | 30. (a) y = -9x + 13
(b) 9x + y =13
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31. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form Thru (-3,-1) and (2,6) | 31. (a) y = 7/5x + 16/5
(b) 7x - 5y = -16
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32. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form The line pictured in Exercise 18 | 32. (a) y = -x + 2
(b) x + y = 2
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33. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form Parallel to 4x - y = 3 and thru (7,-1) | 33. (a) y = 4x -29
(b) 4x - y = 29
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37. Graph the solution set of each inequality 3x - 26 <_ 12 | 37. see p.A-9
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38. Graph the solution set of each inequality 58 - y > 6 | 38. see p.A-9
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39. Graph the solution set of each inequality 2x + y <_ 1 and x>_ 2y | 39. see p.A-9
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2.1 Solve each equation 1. -(8 + 3x) + 5 = 2x + 6 | 2.1
1. {-9/5}
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2.1 Solve each equation 2. -3/4x = -12 | 2.1
2. {16}
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2.1 Solve each equation 3. 3x + 1 /3 - x - 1 /4 = 0 | 2.1
3. {-7/5}
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2.1 Solve each equation 4. 4(2x - 3) = 6(x - 1) + 4x | 2.1
4. 0
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2.1 Solve each equation. Then tell whether the equation is conditional, an identity, or a contradiction 5. 7x - 3(2x - 5) + 5 + 3x = 4x + 20 | 2.1
5. {all real numbers}; identity
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2.1 Solve each equation. Then tell whether the equation is conditional, an identity, or a contradiction 6. 8x - 4x - (x - 1) + 3x - (4 - x) = -(x +5) -5 | 2.1
6. 0; contradiction
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7. -2x + 6(x-1) + 3x - (4 - x) = -(x + 5) - 5 | 2.1
7. {0}; conditional
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stevenlittle
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