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Algebra II UNIT 2
QUIZ/REVIEW Systems of Equations
Name __________________ Per ___
Solve each system by graphing.
1

y   x  2
(1.) 
2
 y  x  5
 y  4 x  4
(2.) 
4 x  y  4
Solution
Solution
_______
_______
Solve each system algebraically.
SHOW YOUR WORK!
 y  2 x  9
(3.) 
3x  4 y  8
6 x  3 y  3
(4.) 
 x  y  7
Solution ________________________
Solution ________________________
2 y  5 x
(5.) 
2 x  2 y  18
 x  2 y  8
(6.) 
4 x  8 y  56
Solution ________________________
Solution ________________________
Solve each system by the method of your choice.
2 x  5 y  2
(7.) 
3x  2 y  4
x + y + 2z = 41

(8.) 2x + 8y - 2z = 60
- 2x - 8y + z = -66

Solution __________
Solution __________
Algebra II UNIT 2
QUIZ/REVIEW Systems of Equations
Name __________________ Per ___
Define variables, write a system of equations and state the solution as a complete
sentence.
(9.)
A dealer carries two models of DVD players. One sells for $300 and the other sells for $225.
The dealer sells 22 DVD players for a total revenue of $5700. How many of each type did he
sell?
Equation 1 __________________________
Equation 2 __________________________
Solution in a complete sentence:
(10.) The perimeter of a rectangle is 108 cm. The width is one-half of the length. Find the
dimensions of the rectangle.
Equation 1 __________________________
Equation 2 __________________________
Solution in a complete sentence:
(11.) Brad is a farmer. He feeds his hogs 12 pounds of feed per day and has 170 pounds of feed in his
barn. Cliff is also a farmer. He feeds his hogs 15 pounds of feed per day and has 200 pounds of feed
in his barn. In how many days will Brad and Cliff have the same amount of feed left?
Equation 1 __________________________
Equation 2 __________________________
Solution in a complete sentence:
(12.) Three students from Klein High decided to go grab something to eat at Burgers-R-Us after
school on Friday. Jane ordered one order of French fries and a cheeseburger. Jane had to pay
$3.75 before tax. John was really hungry so he ordered 3 cheeseburgers, 2 orders of French
fries and 3 Diet Cokes. (There are no free refills.) John paid $12.25. Sam was on a low carb
diet so he only had a Diet Coke and a cheeseburger (he removed the bun). Sam paid $3.25.
What were the prices of each of the menu items?
Equation 1 __________________________
Equation 2 __________________________
Equation 3 __________________________
Solution in a complete sentence:
(13.) Magnets cost $10 plus $1.25 each to produce. You sell them for $1.75. How many magnets
would you have to sell prior to making a profit?