Answers Mixed Review #1:
1. a. -5x2 + 12x - 17 b. -3t2 - 9t + 9
2. a. 3x3 - 2x2 - 5x + 22
b. 4x2 - 12x + 9 c. x3 + 6x2 + 12x + 8
3. a. -24x5y13
b. 25x4
c. 1
16y4
4. a. 4x2y3 √3x
b. 8a2b √2a
5. Proof Steps: Distributive, Simplify, Comm. Prop of Add
6. a. x = x
b. x + 1 = x + 4
c. 5x = 25
7. a. 4x2 - 9x - 4 b. 2x2 + x - 10 c. 3x4 - 19x3 + 22x2 + 23x - 21
8. a. x = 0
b. n = -3
9. a. x = -28
b. No Solution
10. a. x ≤ -1
b. x ≠ 15/4
11. a. -25 < x < 11
b. x ≥ 5 and x < 10
12. 32 in by 64 in
13. Fred is 3 and Wilbur is 17
14. 28.72 + .31x ≤ 40
36 minutes
15. 9, 11, 13, 15
c. x > -9 or x < 15
(all reals)
Mixed Review Aim #2:
12-16-14
HW: Finish Worksheet
Do Now: Factor the following polynomials completely:
1) 2n3 - 2n2 - 24n
2) w6 - w4 - 9w2 + 9
3) 37g8 - 37h8
4) 36y2 + 114y - 20
1. Graph the following equations by finding the x and y intercept.
a. 5x – 3y = 15
b. x – y = -7
2.
Calculate the slope of the line that passes through each pair of points:
a. (-4, 4), (2,-5) b. (-8, 0), (1, 5) c. (-5, ½), (-5, 3) d. (0, 3.5), (-4,2.5)
3. Find the slope and y-intercept of each equation:
a. y = -x – 7
b. 2y – 6 = 3x
c. -2y = 6(5 – 3x)
4.
Write the equation of a line in slope-intercept form that:
a. has a slope of -3/4 and passes through the point (4,-1)
b. passes through the points (-4, 10) and (6, 5)
5. Graph the following equations:
a. y = (-3/2)x
c. y = ½x + 4
b. y = -5x + 2
d. y = 3
6. Write an equation in point-slope form for the line that has a slope of -3 and that passes through the point (-1, 7).
7. Write an equation in point-slope form for the line that passes through the points (2,3) and (-1,-5).
8. Graph the following equations: