Download Algebra 2 Unit 2-2

Part II Review
Algebra 2 Unit 2-2
Name
Period
Solve the following equations by substitution. Express the answer as a coordinate pair.
y  4x
9 x  3 y  15
______1.
______2.
2 x  y  12
4x  y  8
______3.
2 x  3 y  14
______4.
y  5x  9
3x  2 y  8
y  2 x  12
Solve the following equations by elimination. Express the answer as a coordinate pair.
3 x  4 y  7
3 x  4 y  27
______5.
______6.
2 x  y  10
3x  12 y  3
______7.
2x  y  3
______8.
4x  y  9
x  3 y  16
3x  y  0
Solve the following equations by either substitution of elimination. Classify the type of solution as
independent, dependent, or inconsistent.
8 x  4 y  24
2 x  y  9
Type:
9.
Type
10. 
4 x  2 y  12
 y  2 x  6
Solution:
Solution
Type:
Solution
11.
3 x  y  16
5 x  5 y  20
Type:
Solution:
1
12.  x  y  4
2


4
x

5
y 8

Part II Review
Choose the best possible solution for each of the following problems.
14. What would be the second step using the eliminate method to solve the equation 3 x  5 y  10
if your
4 x  2 y  19
first step was to multiply equation one by 2.
A. Multiply equation 2 by 2.
B. Multiply equation 2 by 5.
C. Multiply equation 1 by 3.
D. Multiply equation 2 by -2.
15. To begin solving the equation
A.
B.
C.
D.
4x  3y  3
5x  2 y  8
which of the following would “NOT” be a method to use.
Multiply equation 1 by -5 and equation 2 by 4 in order to eliminate x.
Multiply equation 1 by -2 and equation 2 by 3 in order to eliminate y
Multiply equation 1 by 5 and equation 2 by -4 in order to eliminate x.
Multiply equation 1 by 3 and equation 2 by 2 in order to eliminate y.
16. You have a money jar containing nickels and quarters worth $1.55. The money jar contains 11 coins.
How many of each coin do you have?
1
17. (s04-11th #16) Which of the following is the solution for this system of linear equations? y   2 x  3
4x  2 y  9
A. (
3
, 3)
2
B. (3,
3
)
2
C. (3, 3)
D. (3, 5)
18. In the system of equations 6x + 3y = 18 and 2x + 5y = 12, which expression can be correctly substituted
for y in the equation 2x + 5y = 12?
A. 18 – 2x
B. 18 + 2x
C. 6 – 2x
D. 6 + 2x
19. Tickets for the homecoming dance cost $20 for a single ticket or $35 for a couple. Ticket sales totaled $2280
and 128 people attended. How many tickets of each type were sold?
20. An overseas phone call is charged at one rate (a fixed amount) for the first minute and at a different rate for
each additional minute. If a 7 min call costs $10, and a 4 min call costs $6.40, find each rate.
Part II Review
21. Reba is having a party. She bought 6 bottles of sprite and10 pizzas for $60. Later she bought 2 bottles of
sprite and 4 pizzas
party hats for $22. How much did each item cost?
22. A movie charges $5 for an adult ticket and $2 for a child ticket. The theater sold 785 tickets for $3280. How
many adult tickets and how many child tickets were sold?
23. The length of a rectangle is equal to triple the width. Which system of equations can be used to find the
dimensions of the rectangle if the perimeter is 85 centimeters?
24. Your teacher gives you a test worth 100 points with 50 questions. Each question is worth either 2 points or 4
points. Write a system of equations to determine the number of 2 point and 4 point questions on the test.
25. Karen bought some 2 neon fish and 6 angel fish at $6.75 for her new aquarium. Then Karen bought 5 neon
fish and 1 angel fish and spent $5.25. Write the system of equations to determine how much she spent on each
type of fish.