2. 1. Three times a number increased by 5 results in 20. 2. A number plus twice a number is 150. 3. The sum of three consecutive integers is 74. 4. Twice a number is 4 more than the number. 5. A number is 10 less than twice the number. Writing Equations

3. The number of subway stations in Toronto and Montreal is the same. Forty-seven less than 5 times the number of stations in Toronto is the same as 83 more than 3 times the number of stations in Montreal. Find the number of subway stations. Let s = 5s - 47= Therefore, there are subway stations. Problem 1

4. The length of a basketball court is 2 m less than twice the width. The perimeter of the court is 80 m. Find the dimensions of the court. Let w = Length = Therefore, the width is and the length is. Problem 2

5. The number of quarters exceeds the number of dimes by 2. If in total there is $1.90, how many of each coin are there? Let d = Therefore, there are dimes and quarters. Problem 3

6. John travels to his friend’s house at a speed of 40 km/h. On the return trip, he travels at 50 km/h. If the total time for the two trips is 1.5 h, calculate the distance to his friend’s house. Problem 4 Therefore, the distance to John’s friend is

7. Tom drove 400 km in the same time that Paul drove 450 km. If Paul was travelling 10 km/h faster, find the rate of speed of both Tom and Paul. Let s = Tom was travelling at and Paul at Problem 5

8. Sandra left Calgary, driving north at 90 km/h. Paul left Calgary two hours later at 10:00 a.m. travelling north at 110 km/h. At what time did they meet? Let t = Therefore they meet in Problem 6

9. Sandra left Lethbridge at 9:00 a.m. heading for Edmonton travelling at 80 km/h. Paul left Edmonton heading for Lethbridge at the same time, travelling at 100 km/h. If the distance from Edmonton to Lethbridge is 520 km, what time will they meet? Let d Sandra travelled km. The time that this would take her is: Problem 6 Therefore, they would meet at.

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