Name
Do all problems in NB – Finish for HW
Complete the Matching Column (put the corresponding letter next to the number)
1) 32 + 0 = 32 a) Reflexive
2)If 30 = 5 · 6, then 5 · 6 = 30 b) Additive Identity
3)3 + 8 = 8 + 3 c) Multiplicative identity
4)2X + 4 = 2X + 4 d) Associative Property of Add.
5) 36 · 0 = 0 e) Transitive
6)9 · -3 = -3 · 9 f) Comm. Property of Mult.
7) 6 + (2 + 12) = (6 + 2) + 12 g) Symmetric
8)12 · 1 = 12 h) CommutativeProperty of Add.
9)16(3 + 9) = 16(3) + 16(9) i) Multiplicative property of zero
10) If 15 = 5 · 3 and 5 · 3 = 17 - 2 , then 15 = 17-2 j)Distributive
1) Which number is a rational number but not an integer?
a) – 6 b) 0 c) ⅝ d) none
2) Which number is an integer but not a natural number?
a) π b) -¾ c) 0 d) none
3) Which number is an integer, but not rational?
a) π b) 4 c) -.25d) none
4) Which number is whole, but not natural?
a) 0 b) 4 c) .75d) none
5) Which number is natural, but not whole?
a) ¼ b) 4 c) 0 d) none
Solve each equation: (Linear and Quadratic mixed.... watch out for the x2!!!)
1) 20 - (5/8)x = 40 2) 6(7x - 2) = 8(4x + 1) 3) 2(5x - 4) - 3(4x + 3) = -43
4) x2+ 44 = 15x 5) 2x2+ 12x = 54 6) 3x2 = 42x - 135
7) 11x - 5 = 7x - 53 8) 6(3x + 1) + 5(10 - 4x)= 39 9) ¼x - 33 = -49
10) x2 - 88 = 3x 11) 9(3x + 1) = 8(5x + 6) 12) 15x = x2 – 16
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Word Problems:
1) A store sold Duke t-shirts for $29 and Tar Heel t-shirts for $23. The store sold 380 shirts and made $11,002. How many of each T-shirt were sold?
2) The sum of 5 consecutive integers is 340. Find the 5 integers.
3) Find 4 consecutive even integers such that the sum of the 2nd and 4th is -212.
4) Sally’s cell phone company’s daytime rate is $.18/minute and nighttime rate (after 8:00 PM) is $.11/minute. When she got her bill she saw a 36-minute phone call that cost $4.94.
5)A jar of change has $33.95 in it. There are 5 more dimes than double the quarters. There are 3 less nickels than triple the amount of quarters. How many nickels, dimes, and quarters are in the jar? (There are no pennies.)
6) The souvenir stand sold Yankee hats for $15 and Mets hats for $11. The store sold 8 more Yankee hats than 12 times the Mets hats and made $490. How many of each hat were sold?
a) Find the equation of the line under “original”. DO NOT GRAPH!!
b)For the line found in part a, find a line that is parallel and passes through the given point.
c)Find the equation of a line that is perpendicular and passes through the given point.
Original ParallelPerpendicular
1) m = (- ¾ ), (-8,5) (4,-8) (3,4)
2) 39x + 13y = 26 (-2, 2) (-9, -4)
3) (4, 5)(-2, -7) (3, 8) (-4, 5)
4) m = 0 (4,5)(2, -6)(-5,-8)
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Solve and check:
1) x = 5 – 3y2) 8x – 7y = 603) 9x = 6 – 5y
6x + 13y = 40 3x + 11y = 77 5x + 6y = 42
Factor:
1) x2 – 17x + 722) x2 – 3x – 283) x2 + x – 90
4) x2 + 13x + 125) x2 - 1216) 9x2 – 25
7) 4x2 – 16x – 1808) 5x2 + 40x + 609) 3x2 – 243
10) 7x8 – 17511) 36x2 – 1612) 144x4 – 64
13) 24x2 + 10x - 1414) 8x2 - 15x + 515) 24x2 + 35x + 4
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1) 2 | 6x+ 3 | .- 23 = --172) 4| 3x – 15 | - 2 . = -2
9 -5
Solve and graph (number line)
3) -5 3x – 5 < 134) -⅔ | 6x + 12 | + 3 < -9
5) | 3x – 9 | < -106) | 3x – 9 | > -107) | 3x – 9 | = -10
8) Find the equation of a line parallel to y = -5, passing through (-4,7)
9) Find the equation of a line parallel to x = 6, passing through (-4,7)
10) Find the equation of a line perpendicular to y = -5, passing through (8,-10)
11) Find the equation of a line perpendicular to x = -5, passing through (8,-10)
12) Find the equation of a line parallel to y = (3/2)x + 4, passing through (-6,11)
13) Find the equation of a line perpendicular to y = -¼ x- 5 , passing through (2,9)