# 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 pi

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 vertical
format on the page, and circle the answer.PDF FORMAT! 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. ?y – 2 = \$y
12. 2
– 3
5 102
2 + 7
13. 2(1  x) = 3(1 + 2x) + 5
14.
y + 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?

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