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# MAT1033 - Test 1

### Linear Equations

3. Find the x- and y-intercepts and then graph each equation: 4x - 36 =12 3. (3,0); (0,-4)
4. Find the x- and y-intercepts and then graph each equation: 5x+ 76 = 28 4. (28/5,0); (0,4)
5. Find the x- and y-intercepts and then graph each equation: 2x + 56 = 20 5. (10,0); (0,4)
6. Find the x- and y-intercepts and then graph each equation: x - 4y + 8 6. (8,0); (0,-2)
9. Find the slope of each line: Thru (-1,2) and (4,-5) 9. -7/5
10. Find the slope of each line: Thru (0,3) and (-2, 4) 10. -1/2
11. Find the slope of each line: y = 2x + 3 11. 2
12. Find the slope of each line: 3x - 46 = 5 12, 3/4
13. Find the slope of each line: x = 5 13. undefined
14. Find the slope of each line: Parallel to 3y = 2x = 5 14. 2/3
15. Find the slope of each line: Perpendicular to 3x - y = 4 15. -1/3
16. Find the slope of each line: Thru (-1,5) and (-1, -4) 16. undefined
17. Find the slope of each line: Picture of Graph 17. -1/3
18. Find the slope of each line: Picture of Graph 18. -1
19. Tell Whether each line has Positive, negative, 0, or undefined slope: Picture of Graph 19. positive
20. Tell Whether each line has Positive, negative, 0, or undefined slope: Picture of Graph 20. negative
21. Tell Whether each line has Positive, negative, 0, or undefined slope: Picture of Graph 21. undefined
22. Tell Whether each line has Positive, negative, 0, or undefined slope: Picture of Graph 22. 0
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
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
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
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
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
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
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
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
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
37. Graph the solution set of each inequality 3x - 26 <_ 12 37. see p.A-9
38. Graph the solution set of each inequality 58 - y > 6 38. see p.A-9
39. Graph the solution set of each inequality 2x + y <_ 1 and x>_ 2y 39. see p.A-9
2.1 Solve each equation 1. -(8 + 3x) + 5 = 2x + 6 2.1 1. {-9/5}
2.1 Solve each equation 2. -3/4x = -12 2.1 2. {16}
2.1 Solve each equation 3. 3x + 1 /3 - x - 1 /4 = 0 2.1 3. {-7/5}
2.1 Solve each equation 4. 4(2x - 3) = 6(x - 1) + 4x 2.1 4. 0
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
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
7. -2x + 6(x-1) + 3x - (4 - x) = -(x + 5) - 5 2.1 7. {0}; conditional
Created by: stevenlittle