MATH 131 University of Idaho College Algebra Equations Questions

Section 1.5, pages 55–56, exercises 4, 14, 44, 50, 70, 80, 82, 90, 96, 100.

See attached pictures for questions.

Complete the graded assignments in pencil only. Copy the original question, show your work in a verticalformat on the page, and circle the answer.

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5-22 • The given equation is either linear or equivalent to a
linear equation. Solve the equation.
5. 2x + 7 = 31
6. 5x – 3 = 4
7. x – 8 = 1
8. 3 + fx = 5
9. -7w = 15 – 2w
10. 5t – 13 = 12 – 5
11. įy – 2 = $y
12. 2
– 3
5 102
2 + 7
13. 2(1 – x) = 3(1 + 2x) + 5
14.
žy + 30 – 3) = “+!
144 Determine whether the given value is a solution of the
equation.
1. 4x + 7 = 9x – 3
(a) x= -2 ) x = 2
2. 1 – [2 – (3 – x)] = 4x – (6 + x)
(a) x2 (b)x= 4
1 1
3.
= 1
X-4
(a) r= 2 (b)x=4
12
4.
=r-8
X-6
(a) r=4
(b) x = 8
37–44. Solve the equation by factoring.
37. x2 + x – 12 = 0 38. r? + 3x – 4 = 0
39. r? – 7x + 12 = 0 40. r? + &x + 12 = 0
41. 4x² – 4x – 15 = 0 42. 2y2 + 7y + 3 = 0
43. 3x² + 5x = 2
44. 6x(x – 1) = 21 – x
45-52 Solve the equation by completing the square.
45. x2 + 2x – 5=0 46. x2 – 4x + 2 = 0
47. r? + 3x – 1 = 0 48. r2 = x-
49. 2.×2 + 8x + 1 = 0 50. 3×2 – 6x – 1 – 0
51. 4.x? – x=0
52. – 2x² + 6x + 3 = 0
69-74 – Use the discriminant to determine the number of real
solutions of the equation. Do not solve the equation.
69. x2 – 6x + 1 = 0 70. 3r? = 6x – 9
x+5
79.
5 28
+
al
X-2 x + 2 x r- 4 2x + 7
x + 3
81. V2x + 1 + 1 = x
1 = 82. V5 – x + 1 = x-2
83. 2x + x + 1 = 8
+ = 84. VVx-3 + x = 5
85. x- 13×2 + 40 = 0 86. x+ – 5×2 + 4 = 0
87. 2x+ + 4x + 1 = 0 88. r’ – 2 – 3 = 0
89. x45 – 5×2 +6=0 90. V# – 3V1 – 4 = 0
91. 4(x + 1)2 – 5(+ 1)2/2 + (x + 1)5/2 = 0
92. x2 + 3x-1/2 = 10x – 3/2
93. x/2 – 3×3 = 3×1% -9 94. 1-5Vx+ 6 = 0
95. |2x= 3
96. 3x + 51 = 1
97. |* – 41 = 0.01 98. lx – 6 = -1
+
5
x+5
28
79.
x+1
80.
X-2 x + 2 x² – 4 2.x + 7 x + 3
81. V2x + 1 + 1 = x 82. V5 – x + 1 = -2
83. 2x + x + 1 = 8 84. V VX-5 + x = 5
85. x4 – 13×2 + 40 = 0 86. r* – 5r? + 4 = 0
87. 2.r+ + 4×2 + 1 = 0 88. – 2x – 3 = 0
89.4/3 – 5×2 + 6 = 0 90. Vi-3** – 4 = 0
91. 4(x + 1)2 – 5(x + 1)/2 + (x + 1)5/2 = 0
92. x2 + 3x-1/2 – 10x – 3/2
93. x1/2 – 3×3 = 3×1% -9 94. x-5Vx + 6 = 0
95. |2x| = 3
96. (3x + 5 = 1
97. |1 – 41 = 0.01 98. lx – 61 = -1
Applications
99–100 Falling-Body Problems Suppose an object is
dropped from a height h, above the ground. Then its height after
seconds is given by h = -1612 + ho, where h is measured in
feet. Use this information to solve the problem.
99. If a ball is dropped from 288 ft above the ground, how
long does it take to reach ground level?
100. A ball is dropped from the top of a building 96 ft tall.
(a) How long will it take to fall half the distance to ground
level?
(b) How long will it take to fall to ground level?