Description

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. 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?

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