S. Hiles
Alg. II
3.1 Review
Name
Date
Short Answer.
1. Find the slope between: (5, -2), (-10, 12)
1. __________________
2. Graph: y – 1 = ½ (x + 3)
3. If a line has a slope of -2/3 what is the slope of a line parallel to it? 3. _______
4. If a line has a slope of -2/3 what is the slope of a line perpendicular to it? 4. _____
5. Find the x-intercept of: 5x + 6y = 30
5. ____________________
6. Find the y-intercept of: 5x + 6y = 30
6. ____________________
7. Identify the system of equations with no solutions.
a. 5x – 2y = 12
3x + 2y = 12
b. 4x – y = 7
-8x + 2y = 5
c. 3x + 2y = 4
-6x – 4y = -8
8. Identify the system of equations with infinitely many solutions.
a. 5x – 2y = 12
3x + 2y = 12
b. 4x – y = 7
-8x + 2y = 5
c. 3x + 2y = 4
-6x – 4y = -8
9. If we were to solve the following system of equations by substitution, circle the
variable would we isolate (solve for).
10x – y = 12
3x + 2y = 7
10. If we were to solve the following system of equations by elimination, what
would you multiply the first equation by to eliminate the y’s?
7x + 3y = 14
3x + 6y = 10
11. If we were to solve the following system of equations by elimination, what
would you multiply the first and the second equation by to eliminate the x’s?
5x + 6y = -2
-2x + 5y = 44
12. Is (2, 0) a solution to the following system of equations?
8x + y = -16
-3x + y = -5
13. Solve the following system of equations by graphing.
y +5 = x
y=-½x–2
14. Solve the system by substitution. Show all work.
2x + y = 6
3x – 2y = 16
15. Solve the system by elimination. Show all work.
3x + 8y = -6
x–y=9