Download Algebra 2 Unit 2-2

Algebra 2 Unit 2-1
Solving Systems, Pt. 2
Name
Independent Systems:
Dependent Systems:
Period
Inconsistent Systems:
Solve the following equations by substitution. If a single point, write answer as an ordered pair.
y  4x
9 x  3 y  15
______1.
______2.
2 x  y  12
4x  y  8
______3.
2 x  3 y  14
y  5x  9
______4.
6x  2 y  8
y  3 x  12
Solve the following equations by elimination. If a single point, write answer as an ordered 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  3y  5
3x  9 y  15
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:
12.  x  1 y  4
2


4 x  5 y  8
Choose the best possible solution for each of the following problems.
13. What would be the second step using the eliminate method to solve the equation
3 x  5 y  10
4 x  2 y  19
if your first step was to
multiply equation one by 2?
A.
B.
C.
D.
Multiply equation 2 by 2.
Multiply equation 2 by 5.
Multiply equation 1 by 3.
Multiply equation 2 by -2.
14. To begin solving the equation 4 x  3 y  3 which of the following would “NOT” be a method to use.
5x  2 y  8
A. Multiply equation 1 by -5 and equation 2 by 4 in order to eliminate x.
B. Multiply equation 1 by -2 and equation 2 by 3 in order to eliminate y
C. Multiply equation 1 by 5 and equation 2 by -4 in order to eliminate x.
D. Multiply equation 1 by 3 and equation 2 by 2 in order to eliminate y.
1
_______15. (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)
16. 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
17. You have a money jar containing nickels and dimes worth $1.45. The money jar contains 17 coins. How many of each coin do
you have?
18. A movie charges $5 for an adult ticket and $2 for a child ticket. The theater sold 624 tickets for $2745. How many adult tickets
and how many child tickets were sold?
19. 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 80 centimeters? (Hint: P = 2l + 2w).
20. Your teacher gives you a test worth 100 points with 35 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.
21. Linda goes to a local fast food restaurant and buys 4 burgers and 3 sodas for $17.75. Jacob goes to the same restaurant and buys 3
burgers and 5 sodas for $16.75. How much does a burger cost? How much does a soda cost?