26. Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither. Show all work and explain your conclusion clearly.
Answer:
27. To pay for a shipment of t-shirts, the owner of Hot T-shirts Shop borrowed $8000 at 9 and ¾% interest and for a period of 60 days. What is the simple interest on this loan? What is the total amount that needs to be paid to the loan company? (4 points)
Answer interest amount:
Answer total amount:
28. What are the coordinates of point A on the following graph?
![graph1]()
A. (-3, -4)
B. (-4, 3)
C. (3, -4)
D. (-4, -3)
E. (3, 4)
29. You are visiting Somewhere City and you take a taxi. The taxi fee is a flat fee of $3.00 and a charge of $0.75 per mile. Write an equation that you could use to find the cost of the taxi ride. Let x represent the number of miles and y represent the total cost. (12 points)
What is the line equation?
What would a taxi ride for 8 miles cost?
If a taxi ride cost $15, how far was the trip?
30. Solve the inequality x – 72 > 21
Answer:
31. If 3x + 3 = 6x-15 then x + 8 =
Answer:
32. Which of the following is a correct graph of x>1, x <4?
![clip_image0017]()
A. Line A
B. Line B
C. Line C
D. Line D
E. Line E
33. Given the points (-6, 1) and (2, 4) find the slope of the line that connects these points.
a) -3/8
b) 8/3
c) -4/3
d) 3/8
e) -5/4
34. What is the slope of the line that contains the given pairs of points (-11, 7) and (15, -3)?
Answer:
35. What is the graph of the equation 5x – 2y = 6?
A) ![graph]()
B) ![graph]()
C) ![graph]()
D) ![graph]()
36. Evaluate the expression: −12 − 7x
x as x = −1
Answer:
37. Solve the following equation: 7x + 2(x + 9) = −9
Answer:
38. The equation 3y + 7x = 4 best describes a
A) point
B) parabola
C) line
D) hyperbola
E) circle
39. Solve the following equation for A: 2A/3 = 8 + 4A
A. -2.4
B. 2.4
C. 1.3
D. -1.3
E. 0
40. Which of the following correctly completes the problem? Solve for x: 2(x – 1) + 3 = 5
A. 2x + 2 + 3 = 5
2x + 5 = 5
x = 2
B. 2x – 1 + 3 = 5
2x = 3
x = 3/2
C. 2(x – 1) = 8
x – 4 = 4
x = 5
D. 2x – 2 + 3 = 5
2x = 4
x = 2
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math_012_midterm.docx
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