Question
1. Find the equation of the line (in y=mx+b form) that goes through the points (1,3) and (5,-5). NEATLY sketch a graph of the line.
1. Find the equation of the line (in y=mx+b form) that goes through the points (1,3) and (5,-5). NEATLY sketch a graph of the line. Clearly indicate at least two points on the graph.
2. Rosa has $5 bills and $10 bills in her wallet and a total of $85. She has 1 more $10 bill than $5 bill. How many of each bill does she have in her wallet? Find Number of $5 bills and Number of $10 bills
3. A parking meter accepts both nickels and dimes. At 11 am, the number of dimes in the parking meter is 5 less than twice the number of nickels, and there's a total of $10.75 in the parking meter. Find the number of nickels and the number of dimes. Find Number of nickels and Number of dimes
4. Paula bought $22.82 worth of 49-cent stamps and 21-cent stamps. The number of 21-cent stamps was eight less than the number of 49-cent stamps. How many of each did Paula buy? Find Number of 49-cent stamps and Number of 21-cent stamps
5. A passenger train leaves the train depot 2 hours after a freight train left the same depot. The freight train is traveling 20 mph slower than the passenger train. Find the rate of each train, if the passenger train overtakes the freight train after traveling for three hours. Find: The passenger train is traveling at a rate of (in mph) and The freight train is traveling at a rate of (in mph)
6. Two buses leave NY for LA. The first one travels at an average speed of 40 mph. The second one leaves 4 hours later and travels at an average speed of 50 mph. How many hours after the first bus leaves will it take the second bus to overtake the first one? (include the units in your answer)
7. Solve the inequality: Nineteen less than b is at most -22
8. Solve the inequality: negative five times r is smaller than 95
9. If the x-intercept for the line: y=3/11x+9 is (a,0) then the value of a is
10. If the y-intercept for the line: 3x+10y=3 is (0,b) then the value of b is (round to 2 decimal places if needed)
11. Find the slope of the line:-3x+2y=9 (Write your answer as a decimal)
12. Find the equation of the line that goes through the points (2,5) and (-1,-13) write your answer in Y=mX+b form
13. A line with slope 5 goes through the point (1,10). WITHOUT FINDING THE EQUATION OF THE LINE, find the y-coordinate of the point whose x-coordinate is 2.
14. A line with slope 2/5 goes through the point (1,6). Which other points are also on the line? You do not need to find the equation of the line.
(2,5) and (4,10)
(3,11) and (5,16)
(2,8) and (3,10)
(6,8) and (11,10)
15. A line with slope -3 goes through the point (1,a) where a is some number. Which other points are also on the line?
(2, a+3) and (3, a+6)
(2, 3-a) and (3, 6-a)
(2, a-3) and (3, a-6)
(2, -3) and (3, -6)
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