1. Solve the system of equations by graphing.
𝑥−𝑦=3 7𝑥−𝑦=−3
(-1, -4)

2. Solve the system of equations by graphing.
4𝑥+𝑦=2 𝑦=−4𝑥+2
Infinitely many solutions
Will draw graph before making copies

3. Solve the system of equations by graphing.
𝑦−3𝑥=4 𝑦=3𝑥−2
No solutions
Will draw graph before making copies

4. Solve the system of equations by using the Elimination Method.
6𝑥−12𝑦=24 −𝑥−6𝑦=4
(2, -1)

5. Solve the system of equations by using the Elimination Method.
−8𝑥−10𝑦=24 6𝑥+5𝑦=2
(7, -8)

6. Solve the system of equations by using the best method (elimination or substitution).
8𝑥−6𝑦=−20 −16𝑥+7𝑦=30
The best method is Elimination because the x variable has a least common factor.
(-1, 2)

7. Solve the system of equations by using the Substitution Method.
7𝑥+2𝑦=−19 −𝑥+2𝑦=21
(-5, 8)

8. Solve the system of equations by using the Substitution Method.
4𝑥−𝑦=20 −2𝑥−2𝑦=10
(3, -8)

9. Solve the system of equations by using the best method (elimination or substitution).
𝑥+7𝑦=0 2𝑥−8𝑦=22
The best method is Substitution because the first equation can easily be solved for in terms of x.
(7, -1)

10. Solve the system of inequalities by graphing.
4𝑥−3𝑦<9 𝑥+3𝑦>6

11. Solve the system of inequalities by graphing.
𝑥+𝑦>2 2𝑥−𝑦>1

12. Solve the system of inequalities by graphing.
4𝑥+3𝑦>−6 𝑥−3𝑦≤−9

13. 1) Write a system of equations for the word problem
1) Write a system of equations for the word problem. 2) Find the numbers.
Three times a number subtracted from two times another number is equal to minus three times the first number is equal to four times the second number.
2𝑥−3𝑦=11
8−3𝑥=4𝑦
(4, -1)

14. 1) Write a system of equations for the word problem
1) Write a system of equations for the word problem. 2) Find the numbers.
The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156. How many sundaes and banana splits did The Frosty Ice-Cream Shop sell?
2𝑠+3𝑏=156
𝑠=𝑏+8
𝑠=36
𝑏=28

15. 1) Write a system of equations for the word problem
1) Write a system of equations for the word problem. 2) Find the numbers.
At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. The price of the math textbook is $6 more than 3 times the price of the novel. What is the price of the textbook? What is the price of the novel?
𝑚+𝑛=54
𝑚=3𝑛+6
𝑚=42
𝑏=12