Practice Exam for Chp 6 7

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Math 115 Practice Test #4 (Chapters 6 & 7)
1.
Find the equation of the lines satisfying the following conditions:
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a) with slope m  and passing through the point (6, 6) . Write your answer in the standard
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form Ax  By  C where A, B and C are integers.
b) (8 pts) passing through the points (3, 2) and (7, 7) . Write the answer in the slopeintercept form.
2. Graph the line:
x  3 . What is the slope of this line?
3. Given the linear equation:  6 x  15 y  60 ,
a) Find its slope.
b) Find its y-intercept. Write it as an ordered pair.
c) Find its x-intercept. Write it as an ordered pair.
d) Graph this line.
4.
Graph the inequality: x  2 y  6
 x  6 y  50
5. Solve the system using the substitution method: 
 5 x  5 y  5
2 x  3 y  5
6. Solve the system using the addition method: 
6 x  5 y  1
7. Fill in the blank:
a) The slope of a horizontal line is:
b) The slope of a vertical line is:
c) A definition of the slope of a line is: m =
d) The slope of a line that is increasing as we move to the right is:
8.
Two shirts and three pairs of shorts cost $88.15. Three shirts and one pair of shorts cost
$66.60. Find the price of each.
9.
Find how many milliliters of a 3% acid solution and a 9% acid solution should be mixed to
yield 60 milliliters of a 5% acid solution.
10. Mrs. Boyd has a desk full of quarters and nickels. If she has a total of 26 coins with a total
face value of $5.10, how many of the coins are quarters and how many are nickels?
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