Questions:
1. Graph the inequality.
y ε 3x
2. Solve the system by graphing.
x – 2y = 8
x + y = –1
3. The difference of two numbers is 34. The second is 4 less than 3 times the first. What are the two numbers?
4. Solve the system by substitution.
x + y = 12
y = 2x
5. Given f(x) = –x3 – 2x2 – 2x – 1, find f(–1), f(0), and f(2)
6. The sum of two numbers is 92. The second is 4 more than 3 times the first. What are the two numbers?
7. Given g(x) = 4x – 5, find g(3a).
8. Solve the following system of linear inequalities by graphing.
x + y < 5
0 < y < 3
x ε 1
9. Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of a chocolate bar and the cost of a pack of gum.
10. Graph the inequality.
y < –2
11. Given f(x) = –3x – 1, find f(a – 1).
A) –3a + 2
B) –3a – 2
C) a – 5
D) a + 2
12. Solve the system by graphing.
4x + 2y = 10
y = 4
13. Graph f(x) = –2x + 4
14. The sum of two numbers is 41. Their difference is 9. What are the two numbers?
15. Solve the following system of linear inequalities by graphing.
3x – y < 2
x + y > 2
16. Solve the following system of linear inequalities by graphing.
x – 2y ε 4
x < 4
17. Solve the system by graphing.
x – y = 2
3x – 3y = 6
18. Solve the system by substitution.
3x – 3y = 0
y = –5x + 18
19. Solve the following system of linear inequalities by graphing.
x – y ≥ 3
x + 2y ≤ 6
20. Given f(x) = –2x – 3, find f(–2).
21. Solve the system by graphing.
x + y = 3
x + y = –1
22. Rewrite the equation 2x – 3y = –6 as a function of x
A. f (x ) = 2/3 x + 2
B. f (x ) = 3/2 x - 3
C. f (x ) = 3/2 x - 6
D. f (x ) = 2/3 x + 6
23. Solve the system by addition.
–2x + 9y = 0
x – 5y = –1
24. Graph the inequality.
y ε 1
25. Given f(x) = 5x2 – 3x + 1, find f(–2).
A) –13
B) 15
C) –25
D) 27