Questions:
Solving system of linear equations and linear inequalities
1. Solve the system by graphing.
x + y = 4
-x + y = 2
2. Determine which two equations represent perpendicular lines.
a) y = 2/9x - 2
b) y = 2x - 2/9
c) y = - 1/2x + 2/9
d) y = 1/2x - 2/9
A) (a) and (b)
B) (b) and (c)
C) (a) and (d)
D) (c) and (d)
3. Solve the system by graphing.
3x + y = 6
3x - y = 0
4. Graph the inequality
y < -3
5. Solve the following system of linear inequalities by graphing.
x + 2y < 3
2x - 3y < 6
6. Anna has 12 bills in her wallet, some $5 and some $10. The total value of the bills is $100. How many of each bill does Anna have?
7. Determine which two equations represent parallel lines.
(a) y = -6x + 4
(b) y = 6x + 4
(c) y = 1/6 x + 4
(d) y = -6x + 5
A) (a) and (b)
B) (b) and (c)
C) (a) and (c)
D) (a) and (d)
8. Graph the solution set of x < -1.
9. Solve the following system of linear inequalities by graphing.
x - 2y >= 4
x < = 4
10. Solve. 8 - (4x - 3) = 19
11. Graph x = 3.
12. Find the slope and the y-intercept.
y = -9x
13. Find the slope of the graphed line.
A. 2
B. -2
C. 1/2
D. - 1/2
14. Graph 3x + 2y = 6.
15. Solve the system by addition.
4x - 7y = 17
x - 5y = 1
16. Find the slope of the line passing through the points (-1, 1) and (-2, 9).