Download Part I: Solve each system graphically

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Alg1 Q3 Test 1 Review
January 23, 2012
Due: Monday, 1/30/12
Part I: Solve each system graphically
1) y = 2x - 5
y = - ½x + 5
4) 24x - 18y = -18
y = -7
Answer Key:
1) (4,3)
2) (2,3)
2) 15x + 15y = 75
y + 6 = (3/2)(x + 4)
3) y - 3 = ¾ (x - 8)
34x – 17y = -34
5) y - 2 = (- ⅓)(x - 9)
27x – 9y = 45
3) (-4,-6)
4) (-6,-7)
6) x = 3
y + 15 = (-5/3)(x - 9)
5) (3,4)
6) (3,-5)
Part II: Graph each inequality:
1) 24x – 6y > 12
2) 15x + 10y > -40
3) x < -5
4) y > 6
Part III: Solve each system of inequalities graphically:
1) y - 4 < 2(x – 2)
y < -3
2) y + 9 > - ⅓(x – 12)
x>2
3) y – 2 > ¼ (x – 12)
44x – 11y > -11
Part IV: Multiplication and Division of Monomials:
1) (5x4y-3z6)3
2) (4x8y10z-5)(6x-5y3z2)3
3) 21x7y6z8 _
14x5y-6z8
4) (4x15y8z5 )2
(2x6y4z-2)5
5) (7x7y4z3)2(4x-5y3z)3
6)
7) 5x(4x2 – 8x + 3) + 4x(5x2 + 10x – 7)
Answer Key:
1) 125x12z18
y9
4)
z20
2y4
7) 40x3 -13x
(8x12y6z3)2 _
(2x4y2z)6
8) 8x2(7x2 – 3x – 12) – 6x(4x2 – 16x – 3)
2) 24y19z
x7
3) 3x2y12
5) 3,136y17z9
x
6) 1
8) 56x4 -48x3 + 18x