Cool Down
Solve this system of equations without graphing. Be prepared to show your reasoning. Use this system of equations to answer questions 1 – 3.
What is the value?
Compare your answer:
What is the value?
6
Explain your solutions.
Compare your answer:
Your answer may vary, but here are some samples.
- Substituting for in the first equation, , gives or , which then gives . Substituting for in the first equation and solving for gives .
- The first equation, , can be rearranged to . Substituting for in the second equation gives . Solving this equation leads to , and substituting for in either equation gives .
Building Character: Growth Mindset
Having a growth mindset means believing you can improve your abilities. Compared to a fixed mindset, a growth mindset encourages you to embrace challenges, sustain effort, and try new strategies. Think about your current sense of having a growth mindset. Are the following statements true for you??
- After I make a mistake, I always look for ways to learn from it.
- I love challenges because they make me smarter.
Don’t worry if none of these statements are true for you. Developing this trait takes time. Your first step starts today!