IM 8.4.15 Lesson: Writing Systems of Equations
Match each system of equations with the number of solutions the system has.
[math]\begin{cases} y=\text-\frac43x+4 \\ y = \text-\frac43x-1 \end{cases}[/math]
[math]\begin{cases} y=4x-5 \\ y = \text-2x+7 \end{cases}[/math]
[math]\begin{cases} 2x+3y = 8 \\ 4x+6y = 17 \end{cases}[/math]
[math]\begin{cases} y= 5x-15 \\ y= 5(x-3) \end{cases}[/math]
For each situation:
[size=100][list][*]Create a system of equations.[/*][*]Then, without solving, interpret what the solution to the system would tell you about the situation.[/*][/list][/size][br]Lin’s family is out for a bike ride when her dad stops to take a picture of the scenery. He tells the rest of the family to keep going and that he’ll catch up. Lin's dad spends 5 minutes taking the photo and then rides at 0.24 miles per minute until he meets up with the rest of the family further along the bike path. Lin and the rest were riding at 0.18 miles per minute.[size=100][br][br]System of Equations:[/size]
Without solving, interpret what the solution to the system would tell you about the situation.
[size=150]Noah is planning a kayaking trip. Kayak Rental A charges a base fee of $15 plus $4.50 per hour. Kayak Rental B charges a base fee of $12.50 plus $5 per hour.[/size][br][br]System of Equations:
Without solving, interpret what the solution to the system would tell you about the situation.
[size=150]Diego is making a large batch of pastries. The recipe calls for 3 strawberries for every apple. Diego used 52 fruits all together.[/size][br][br]System of Equations:
Without solving, interpret what the solution to the system would tell you about the situation.
[size=150]Flour costs $0.80 per pound and sugar costs $0.50 per pound. An order of flour and sugar weighs 15 pounds and costs $9.00.[/size][br][br]System of Equations:
Without solving, interpret what the solution to the system would tell you about the situation.
Your teacher will give you either a problem card or a data card. Do not show or read your card to your partner.
[table][tr][td]If your teacher gives you the [i]problem card[/i]:[/td][td]If your teacher gives you the [i]data card[/i]:[/td][/tr][tr][td][br][list=1][*]Silently read your card and think about what[br] information you need to be able to answer the[br]question.[br][/*][*]Ask your partner for the specific information that [br]you need.[br][/*][*]Explain how you are using the information to [br]solve the problem.[br]Continue to ask questions until you have [br]enough information to solve the problem.[br][/*][*]Share the [i]problem card [/i]and solve the problem[br]independently.[br][/*][*]Read the [i]data card[/i] and discuss your reasoning.[br][/*][/list][/td][td][list=1][*]Silently read your card.[/*][*]Ask your partner [i]“What specific information do you [br]need?”[/i] and wait for them to [i]ask[/i] for information.[br]If your partner asks for information that is not on[br]the card, do not do the calculations for them. Tell[br]them you don’t have that information.[/*][*]Before sharing the information, ask “[i]Why do you[br]need that information?[/i]” Listen to your partner’s[br]reasoning and ask clarifying questions.[/*][*]Read the [i]problem card[/i] and solve the problem[br]independently.[/*][*]Share the [i]data card[/i] and discuss your reasoning.[/*][/list][/td][/tr][/table][br]Use the space below to take notes on your discussion.
Here are a lot of systems of equations.
[br][table][tr][td][math]\begin{cases} y=\text-2x+6 \\ y=x-3 \end{cases}[/math][/td][td][math]\begin{cases} y=x - 6\\ x=6 + y \end{cases}[/math][/td][/tr][tr][td][math]\begin{cases} y=5x-4 \\ y=4x+12 \end{cases}[/math][/td][td][math]\begin{cases} y=0.24x\\ y=0.18x+0.9 \end{cases}[/math][/td][/tr][tr][td][math]\begin{cases} y=\frac23x-4 \\ y=\text-\frac43x+9 \end{cases}[/math][/td][td][math]\begin{cases} y=4.5x+15 \\ y=5x+12.5 \end{cases}[/math][/td][/tr][tr][td][math]\begin{cases} 4y + 7x = 6 \\ 4y+7x = \text-5 \end{cases}[/math][/td][td][math]\begin{cases} y=3x \\ x+y=52 \end{cases}[/math][br][/td][/tr][/table][br]Without solving, identify 3 systems that you think would be the [b]least difficult [/b]for you to solve. Explain your reasoning.[br]
Without solving, identify 3 systems you think would be the [b]most difficult [/b]for you to solve. Explain your reasoning.
Choose 4 systems to solve. At least one should be from your "least difficult" list and one should be from your "most difficult" list.
1[sup]st[/sup] system with solution: [br][size=85]("least difficult")[/size]
2[sup]nd[/sup] system with solution:
3[sup]rd[/sup] system with solution:
4[sup]th[/sup] system with solution: [br][size=85]("most difficult")[/size]
IM 8.4.15 Practice: Writing Systems of Equations
[size=150][size=100]Kiran and his cousin work during the summer for a landscaping company. Kiran's cousin has been working for the company longer, so his pay is 30% more than Kiran's. Last week his cousin worked 27 hours, and Kiran worked 23 hours. Together, they earned $493.85. [/size][size=100]What is Kiran's hourly pay? Explain or show your reasoning.[/size][/size]
[size=150]Decide which story can be represented by the system of equations [math]y=x+6[/math] and [math]x+y=100[/math].[/size]
[size=150][size=100]Explain your reasoning.[/size][/size]
[size=150]Clare and Noah play a game in which they earn the same number of points for each goal and lose the same number of points for each penalty. Clare makes 6 goals and 3 penalties, ending the game with 6 points. Noah earns 8 goals and 9 penalties and ends the game with [math]-22[/math] points.[/size][size=150][br][br][size=100]Write a system of equations that describes Clare and Noah's outcomes. Use [math]x[/math] to represent the number of points for a goal and [math]y[/math] to represent the number of points for a penalty.[/size][/size]
[size=100]Solve the system. What does your solution mean?[/size]
Solve:
[math] \begin{cases} y=6x-8 \\ y=\text-3x+10 \\ \end{cases}[/math]
Estimate the coordinates of the point where the two lines meet.[br][br][img]data:image/png;base64,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[/img]
Choose two equations that make up the system represented by the graph.
Solve the system of equations and confirm the accuracy of your estimate.