Name __________________________________________ Date________________
Period_______
4th Six-Weeks: Unit 6 Test Review
Solve by graphing:
1.
2.
3.
Solution:
Solution:
Solution:
4.
5.
6.
𝑦 = −2𝑥 + 2
𝑦 = −2𝑥 − 2
𝑦 = 2𝑥 – 2
𝑦 = −𝑥 + 4
Solution:
Solution:
 ANSWERS:
No Solution
Solution:
Infinitely Many Solutions
(3, -2)
(2, 2)
Fill out the tables to solve the systems of equations:
7.
8.
x
𝑦 = 𝑥−2
𝑦 = 4𝑥 + 1
x
-2
2
-1
3
0
4
1
5
Solution:
1
𝑦 = 𝑥+5
2
𝑥 − 2𝑦 = 10
Solution:
𝑦=𝑥−7
𝑦 = −2𝑥 + 8
(2, -1)
(4, -4)
Solve the following by substitution or elimination. Show all your work on a separate sheet of paper to receive credit.
9.
2x - 3y = -1
y=x–1
10.
5x + 4y = -30
3x – 9y = -18
11.
x – y = 11 10.
2x + y = 19
12.
4x + 2y = 8
y = -2x + 4
13.
5x – 3y = -18
x – 6y = -9
14.
2x + 8y = 6
-5x – 20y = -15
15.
3y – 3x = 4
y=x+3
16.
2x – y = 4
6x – 3y = 3
17.
-5x – 6y = 8
5x + 2y = 4
18.
y = -2x + 20
6x – 5y = 12
19.
3x – 2y = 1
3x – 2y = -1
20.
x – 3y = 7
x + 2y = 2
 ANSWERS:
(7, 6)
No solution
(-3, 1)
Infinitely Many Solutions
(10, -1)
No Solution
(4, 3)
No Solution
(2, -3)
Infinitely Many Solutions
(4, -1)
(-2, -4)
21. Write the equations of the system in slope intercept form.
22. Write the equations of the system in point slope form:
What is the approximate solution?
What is the approximate solution?
Is the given point a solution to the system?
𝑥 + 3𝑦 = 6
23. (3, 1); {
4𝑥 − 5𝑦 = 7
3𝑥 − 2𝑦 = 14
24. (6, −2); {
5𝑥 − 𝑦 = 32
Fill in the blanks:
25. A system of equations has ___________ solutions when the lines are parallel.
26. Parallel lines have _______________ slope.
27. A system of equations has ______________ solutions when the lines coincide.