Download Math 95 Test 2 Review I. Solve the following inequalities. Graph the

Math 95
Test 2 Review
I. Solve the following inequalities. Graph the solution and write it in interval notation.
1. 4 x − 5 ≥ 10
2. 3 x − 2 ( x + 1) < 3 ( 2 x − 7 )
4. −14 < 3 x − 5 < 10
5.
1
x − 5 < 12
2
7. 5 ( 2 x − 4 ) + 10 > −3
8. −4 ≤
3. 2 x − 1 ≥ 15
6. 1 − 3 x < 7
1
x −1 ≤ 9
3
9.
1 − 3 x − 5 ≥ −2
II. Solve each absolute value equation.
10
10. 6 x − 5 =
11. 3 x + 10 − 5 =−3
3
12. 5 − x =
2
4
III. Find the x and y-intercepts for each.
13. 4 x − 5 y =
20
14. =
y 3x − 4
16. y − 5 =
0
17. 4 x + 3 y =
24
IV. Find the missing values in the t-chart.
18. x + 2 y =
−6
x
0
y
0
-4
19. x + 3 =−2
x
y
-2
3
4
15. x + 5 =
0
20. 3 x − y =
9
x
0
y
0
4
V. Graph each linear equation.
21.=
y
−1
x+3
2
25. =
y 2x − 3
22. y = 3 x
24. y = 2
26. 4 x − 5 y =
−20
27. x = −1
VI. Find the slope and midpoint.
28. (2, 4) and (3, -5)
29. (7, -2) and (-3, -9)
30. (4, 5) and (4, -9)
31. (-2, 0) and (2, 4)
VII. Write an equation of a line in slope-intercept form and standard form.
32. (2, 3) and (-2, 9)
33. m = 4, (0, -3)
34. m = -1/2, (-2, 9)
35. m = 5, (2, 4)
36. Through (7, 2); parallel to 3x – y = 8.
37. Through (-1, 3); parallel to –x + 3y = 12.
38. Through (8, 5); perpendicular to 2x – y = 7.
39. Through (2, -7); perpendicular to 5x + 2y = 18.
VIII. Solve
40. A member in the Midwest Athletic Club cost $99, plus $41 per month. Let x
represent the number of months and y represent the cost. How much does the first
year’s membership cost?
41. There is a $30 fee to rent a chain saw, plus $6 per day. Let x represent the number
of days the saw is rented and y represent the charge to the user in dollars. If the total
charge is $138, for how many days is the saw rented?