MAT135
Review for Test I – Sections 2.1-2.6,3.1-3.3,3.5
Spring 2010
1. Find the slope of the line that passes through the points (3, 2) and (4,5) .
2. Is (2,5) a solution to 3x y 7 ?
3. Solve for x: ( x 16) 2( x 1) .
4. Solve for x: 5x 2 3 9 .
5. A car rental agency offers two rental plans. With Plan 1, the customer pays $20.00
per day plus $0.10 per mile. With Plan 2, the customer pays $40.00 per day plus $0.05
per mile. How many miles must be driven to make the daily cost of Plan 2 the better
deal?
6. Solve for x: 9 6 3x 3 . Express the answer in interval notation.
7. Find the slope and y-intercept of 6 x 2 y 11.
8. Find the equation of a line parallel to 3x y 5 that passes through the point
(2, 2) .
9. Solve a b( x y) c for x.
10. What is the y-intercept of the horizontal line that passes through (3, 7)?
11. What is the domain, in interval notation of f ( x) 6 7 x ?
12. Solve and graph: 2x 11 9 or x 8 x .
13. A lawyer charges a consultation fee of $125.00 plus $50.00 for every 30 minutes
spent working for a client. Write the equation (you do not have to solve) that represents
the charges to the client for x hours of work.
14. If g ( x) 2 x 2 1, what is g (5)?
15. Solve for x: x 14 3.
16. Is the following relation a function?
(1,8),(3,2),(5, 1),(8,200),(16, 1), .
17. The relationship between the number of pages read, P, and the number of hours, h,
spent reading is linear. If someone reads 92 pages in 4 hours one day and 23 pages in one
hour the next day, how long will it take to read 108 pages?
Dugopolski
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MAT135
Review for Test I – Sections 2.1-2.6,3.1-3.3,3.5
Spring 2010
18. Consider the graph of y=f(x) below. Are the following statements true or false?
y
x
a. : The y-intercept is at (2,0).
b. The x-intercept is at (-2,0).
c. The slope of the line is negative.
d. The slope of the line is 2.
e. f (1) 3 .
f. The graph represents a function.
g. f (3) 1.
19. What is the equation of the line shown in the graph above?
20. The profit from a sale of tickets to an event is represented by P(t ) 25t 2.4 .
What does the slope of this equation represent?
21. Solve for x and write the solution in interval notation:
1
1
(6 x 2) 25 (8 x 4) .
6
4
Dugopolski
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Review for Test I – Sections 2.1-2.6,3.1-3.3,3.5
MAT135
Spring 2010
Answer Key
1) m = – 1
2) No
3) x = –6
4) x =
14
, x = –2
5
5) x > 400
6) (3, 5]
7) m = 3, b =
11
2
8) y = –3x – 8
9) x =
a by c
b
10) (0, -7)
6
7
12) (, )
11) ( , ]
13)
14)
15)
16)
125 + 100x
49
[11, 17]
Yes
17) 4
16
hours
23
18) a) F
b) T
c) F
d) F
e) T
f) T
g) F
19) y = x + 2
20) cost of tickets
21) (,
Dugopolski
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)
9
3
0
