Chapter 1
Chapter 1.5: Video Lesson on Ways that Two Lines Can Intersect Lesson
Questions for you to Try
1. Solve the following systems of equations by the method of substitution
a) y = 3x + 10 and y = -5x - 6 Answer: (-2,4) Video Solution
b) 4x - y - 18 = 0 and 2x + 3y + 12 = 0 Answer: (3, -6) Video Solution
c) 4x - 3y + 24 = 0 and x + 6y - 3 = 0 Answer: (-5, 4/3) Video Solution
2. Solve the following systems of equations by the method of elimination
a) 2x + y + 1 = 0 and 3x + 2y + 3 = 0 Answer: (1, -3) Video Solution
b) 5x - 3y - 9 = 0 and 4y + 9x = 82 Answer: (6, 7) Video Solution
c) 5/2 x + 2/3 y + 2 = 0 and 1/2 x + 3/4 y = 7 Answer: (-4, 12) Video Solution
3. Tyra went to the corner store and purchased one popsicle and one chocolate bar for $3.25. The next day she purchased four popsicles and three chocolate bars for $11.00. How much does one popsicle cost?
Answer: $1.25 Video Solution
4. Charlie's age and Fred's age add to 44. Thirteen years ago, Charlie was twice as old as Fred. How old is Charlie now? Answer: 25 Video Solution
5. Farmer Ted has chickens and cows on his farm. There are 130 animals and 340 legs. How many cows are there?
Answer: 40 Video Solution
6. Joanne can run 6 m/s on paved road and 5 m/s on sand. If Joanne ran a total distance of 980 metres in three minutes, how long was she on sand?
Answer: 100 seconds Video Solution
7. Coffee beans from Kenya are $5.20/kg, and coffee beans from Ethiopia are $4.00/kg. A quantity of Kenyan beans is mixed with a quantity of Ethiopian beans. The resulting blend weighs 250 kg and costs $4.48/kg. How much of each type of coffee was in the blend?
Answer: 100 kg of Kenyan beans and 150 kg of Ethiopian beans Video Solution