# MA105 Midterm MA105 - 2219

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MA105

MIDTERM and show all work.

1. Solve: 7 + 2(6 - x ) = 15 + 3(5- x)

1. Solve: -x-6=0

1. Solve: |x+6| -4= 2
2.
3. Solve: |3x - 1|  7

5. Solve the inequality and express the solution set in interval notation:

5(3x+6) - 9  14x + 4

6. The length of a rectangle is 5 more than twice its width. If the perimeter is 58 cm, find the

Dimensions.

1. Given A(-2,5) and B(13,-7) find the midpoint of AB.

1. Determine the slope of the line passing through the points (-7,7) , (3,-5).

1. Write an equation of the line with the slope m = -3 that passes through the point (2, 3).

1. Determine an equation of a line through the point (?2, 7) that is parallel to

5x – 3y + 1 = 0.

11. Given    , find g(-2)

1. Sketch y = -3x +4 and determine the intercepts.  (graph is needed)
2. Given f(x) = and g(x) = 2x + 1 determine (f .

14. Given f(x) = 6-5x; ; find the inverse, .

15. Determine whether  f(x) = 5x – 4 and g(x) = are inverses.

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