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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) Commutative Property 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) -.25
d) none
4) Which number is whole, but not natural?
a) 0
b) 4
c) .75
d) 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,
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Do all problems in NB – Finish for HW
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
Parallel
Perpendicular
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 – 3y
2) 8x – 7y = 60
3) 9x = 6 – 5y
6x + 13y = 40
3x + 11y = 77
5x + 6y = 42
Factor:
1) x2 – 17x + 72
2) x2 – 3x – 28
3) x2 + x – 90
4) x2 + 13x + 12
5) x2 - 121
6) 9x2 – 25
7) 4x2 – 16x – 180
8) 5x2 + 40x + 60
9) 3x2 – 243
10) 7x8 – 175
11) 36x2 – 16
12) 144x4 – 64
13) 24x2 + 10x - 14
14) 8x2 - 15x + 5
15) 24x2 + 35x + 4
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2 | 6x + 3 | . - 23 = --17
2) 4| 3x – 15 | - 2 . = -2
9
-5
Solve and graph (number line)
3) -5 < 3x – 5 < 13
4) -⅔ | 6x + 12 | + 3 < -9
5) | 3x – 9 | < -10
6) | 3x – 9 | > -10
7) | 3x – 9 | = -10
1)
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)
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Do all problems in NB – Finish for HW