
Algebra 2
Name___________________________________
Review Unit 4
Solve each system by substitution.
2) x = 12.1 - 5y
 x y
1)  x y
 x y
Solve each system by elimination.
3) 2x + 4y = 23
4)  x y
 x y
 x y
Solve using any method.
5) x y
 x y
6)  x y
 x y
Solve each system by graphing.
7)  x y
x y





8)  x y
x y
y















 x















-1-
y



 x
Worksheet by Kuta Software LLC

9)  x y
 x y
10)  x y
x y





y















 x




y





 x




 x









Sketch the solution to each system of inequalities.
11)  x y
y


12) y x

x
y












y






 x
















13) y x


y x


y














 x




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-2-
Worksheet by Kuta Software LLC
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14)  x y
x y

15) Is the point (0, -1) a solution to the system of
inequalities in problem #14?
y














 x




a. 𝑓 2 =
GRAPH b. y-­‐intercept =
ALGEBRA SKILLZ! SIMPLIFY Simplify the radical a. 24
SOLVE: Solve for x. Hint: Use the LCM‼ !!
!
a. ! + = 480
!
c. 𝑓 𝑥 = −3
when x = d. x-­‐intcepts =
b. 4 54
-3-
b.
FACTOR: 𝑥 ! − 4𝑥 − 45
Worksheet by Kuta Software LLC
Unit 4 Application 1. Brust loves creating sculptures with candles. In fact, he is going to the store to buy new candles for his new
sculpture "Candelbrot Set". Small candles (x) cost $4 and large candles (y) cost $5. He needs to buy at least
20 candles, and he cannot spend more than $200.
a.
Brust wants to buy at least 20 candles:
________________________________________ Brust cannot spend more than $200
________________________________________ Graph your system of inequalities. Use a ruler.
Number of Large Candles
b.
Write an inequality for each of the following components:
Number of Small Candles
c.
Name one point that is a solution to your system of inequalities _____________
d.
Name one point that is NOT a solution to your system of inequalities______________
2.
Bean is selling tickets to his new musical "Fear Factor: the life of a young boy who factors trinomials
while feeding alligators." On the first day of ticket sales Bean sold 3 senior citizen tickets and 15 child tickets
for a total of $171. He then took in $111.50 on the second day by selling 3 senior citizen tickets and 8 child
tickets. Find the price of a senior citizen ticket and the price of a child ticket.