Name: ___________________________________ Period: __________
Unit 1 Test Part 2 Review Solve each system below by graphing. 1. x – 2y = 0 2. x + 2y = 4 y = 2x – 3 2x – 3y = 1 Solution: _________ Solution: _________ Solve each system using substitution: 3. a = b - 4 4. x = -3y - 3 a + b = 20 4x + 3y = 6 Solve each system using elimination.
5. -2x + y = -1 6. 6w – 8z = 16 x + 2y = 3 3w – 4z = 8 7. x – y = -5 8. 2b + 3c = -4 3x + 4y = 13 b + c = 3
Solve the following systems of equations: 9. -11x – 4y = 36 10. y = 4x - 9 -10x – 10y = 20 -2x – y = -3(x – 1)
y
x
y
x
11. 2x + y = 6 12. 3y – z = -6 3x – 2y = 16 z = -3y – 6 13. Eric’s bank account has a balance od $140. Every week he deposits $20 into his account. Joe’s bank account has a balance of $500. Every week Joe withdraws $10 from his account.
a) Define the variables for this function.
b) Write functions to represent Eric and Joe’s bank accounts.
c) Graph each function on the graph to the right. Make sure to label each axis correctly.
d) How much will each have after 5 weeks?
e) How long can Joe continue his withdrawals until he runs out of money?
f) What is the domain that represents Joe having more money in the bank than Eric.
g) What is the break even point and what does it represent? 14. At Los Betos you can get 2 tacos and 3 enchiladas for $2.39 or 4 tacos and 5 enchiladas for $4.23.
a) Define your variables and write two equations that represent the situation above.
b) What is the price of one taco and one enchilada?
15. Two shirts and one tie cost $42. One shirt and 2 ties cost $39.
a) Define your variables and write two equations that represent the situation above.
b) What is the cost of one shirt and one tie.