1. What are 3 different methods for solving systems of equations and when would you use each one? (MP6) 2. How do you graph the solution set to a system of linear inequalities in two variables? (MP6)
3. What are the different types of solutions that you can get when you solve a system of linear equations? (MP6)
4. How do you determine whether a system of linear equations has no solution, one solution, or infinitely many solutions? (MP6)
5. What are equivalent systems and how are the algebraic properties used in creating equivalent systems? (MP6)
6. Make an inequality in standard form with two variables and explain a real-world situation that may apply. Explain how you would graph the inequality. (MP2 and 4)

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walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

step-by-step explanation:

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal