Download Mid Unit Review

Mac 1140 Review Mid First Testing Period
Factor:
1. y2 – 36
2. 6y3 + 2
4. x2 – 15x + 14
5. y2 – 6y – 27
7. 3x2 –3x - 18
8. 8x2 – 6x - 9
Solve:
10. 3x – 2 = 0
13. x2 – 6x – 4 = 0
16. 4  2 3x  2  6
18. Graph: y = -|x+3| + 2.
3. 125x3 – 27
11. 3x2 – 2 = 0
14.
2
3
1


x x 1 x
6. x4 – 81
9. 25x2 +10xy + y2
12. 2x2 –3x = 2
15.
x
x2

x  2 x 1
17. 4  2 3x  2  6
Also, find the domain, range, and intervals where function is
increasing, decreasing, or constant.
19. Write the equation of the line:
a) passing through (-2, 5) (4, -7). (Slope – intercept form)
b) passing through (3, 4) and perpendicular to 2x – 3y = 5. (Point – slope form)
c) passing through (3, 4) and parallel to 2x – 3y = 5. (Standard form)
d) passing through (-3, 6) and perpendicular to y = 5
e) passing through (-4, 5) (3, 5)
20. Find the domain:
a) y = 2x – 5
b) y = 3  2 x  5
c) y =
3
x3
d) y =
3x
x  2 x  35
21. Given f(x) = x – 2 and g(x) = x2:
a) g(-4)
b) f(5)
c) ( g  f )( 5)
d) f(g(x))
22. Find the difference quotient for the following function: f(x) = 2x + 1
2
Review Mid First Testing Period
1. (y + 6)(y – 6)
2. 2(3y3 + 1)
3. (5x – 3)(25x2 + 15x + 9)
4. (x – 14)(x – 1)
5. (y – 9)(y + 3)
6. (x2 + 9)(x + 3)(x – 3)
7. 3(x – 3)(x + 2)
8. (2x – 3)(4x + 3)
9. (5x + y)2
10. 2
3
6
3
11.

12.
1
 ,2
2
13. 3  13
14. 1
4
15. – 4
16.  7 ,1
3
17. no solution
18.
D:  , 
R:  ,2
Inc:  ,3
Dec:  3, 
19a. y = -2x + 1
b. y – 4 =  3 (x – 3)
2
c. -2x + 3y = 6
d. x = -3
e. y = 5
20a.  , 
b. x ≥ 5
c.  , 
d. x ≠ 7, -5
21a. 16
b. 3
c. 49
d. x2 – 2
22. 2