Download Chapter 7 Review for Algebra 1

Name: __________________________
Per: _______ Date: ________
Chapter 7 Review for Algebra 1
Use graphing to solve the systems of equations for questions 1 and 2. (Be sure to label you
solution.)
1. y = -2x - 6
2. y = x + 2
y = -2x + 3
y = 3x – 2
3. y = 7
y=½x+6
4. x + y = 2
2x + 2y = 4
Use substitution to solve the system of equations. (Make sure you find both the x and y values.)
5. x + 3y = -4
6. 3x + 2y = 9
y=x
x+y=3
Use the elimination (addition) method to solve systems of equations. (Be sure to find both the x
and y values.)
7. 3x – y = 21
8. 3m – 4n = 1
2x + y = 4
3m – 2n = -1
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Name: __________________________
Per: _______ Date: ________
Determine the best method to solve each system of equations. Then solve the systems. (Be sure
to find both x and y.)
9. y = 2x - 5
10. 2x + y = -5
3x – 2y = 9
2x + 3y = 7
11. y = 3x + 1
y = 6x – 1
12. x – 2y = -3
3x + y = 5
13. 3x – 2y = 6
5x + 7y = 41
14. x + 2y = 1
2x + 5y = 7
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Name: __________________________
Per: _______ Date: ________
Write the system of equations and then solve the system.
15. The sum of two numbers is 15 and their difference is 1. What are the two numbers?
System:
Solution:
16. The sum of two numbers is -11 and their difference is 5. What are the two numbers?
System:
Solution:
17. The sum of two numbers is 7 and their difference is 17. What are the two numbers?
System:
Solution:
18. The sum of two numbers is -7 and their difference is -1. What are the two numbers?
System:
Solution:
19. Bob has $0.70 in nickels and dimes. If he has 12 coins in all, find the number of
nickels and dimes.
System:
Solution:
20. Bob has $2.10 in nickels and dimes. If he has 27 coins in all, find the number of
nickels and dimes.
System:
Solution:
21. Bob has $2.90 in nickels and dimes. If he has 31 coins in all, find the number of
nickels and dimes.
System:
Solution:
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Name: __________________________
Per: _______ Date: ________
22. In 1999, there were 59,549 physicians specializing in Pediatrics in the United States and its
possessions. The number of male physicians minus the number of female physicians in this
category is 2,551. How many female physicians were there that specialized in Pediatrics in the
United States?
a) Write a system of equations
b) Solve the system of equations and answer the question.
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