Problem Set 1 Preske
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Transcript of Problem Set 1 Preske
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Chapter P & Sections 2.1 & 2.4 Homework Packet
Answer each of the following questions on a separate sheet of paper. Show all of your work!
Homework Set #1: For each of the following questions, choose the best answer.
1. Simplify: 1 4(5 3) 2 7 + +
A. 5 B. 8 C.
8
3 D.
23
9
2. Simplify:( )
34
3
2 5
2 4
6 8
x x
x x
A.12
6
xB.
7
6
xC.
128
3
xD.
122
3
x
3. Solve: 6( 4) 2 8 (3 9)x x + = +
A.7
3B.
13
3C.
7
9D.
19
9
4. Factor completely: 4 3 224 18 81 x x x
A. 2(2 3)(12 27) x x x+ B.2 23 (8 6 27) x x x
C. 23 (2 3)(4 9) x x x+ D. 2 (6 9)(4 9) x x x+
Homework Set #2:For each of the following questions, choose the best answer.
1. Factor completely: 3 364 27y x+
A. 2 2(4 3 )(4 12 3 ) y x y xy x+ + B. 2 2(4 3 )(16 12 9 ) y x y xy x+ +
C. 2 2(4 3 )(4 12 3 ) y x y xy x+ + D.2 2(4 3 )(16 12 9 ) y x y xy x+ +
2. The midpoint ofMNis (-6, -8). M has coordinates (4, -2). Find the coordinates of N.
A. (16, 14) B. (-16, -14) C. (-8, -18) D. (-10, -6)
3. Find the slope of the line passing through the points (-5, 3) and (-6, -9).
A.6
11B.
1
12C.
12
11D. 12
4. Find the slope of the line perpendicular to the line 4x 2y = 8.
A.1
2 B. 2 C. -2 D.
1
2
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Homework Set #3: For each of the following questions, choose the best answer.1. Find the x-intercept of the line 6x 2y 24 = 0
A. 4 B. 4 C. 12 D. 12
2. Simplify:2 2
2 2
6 5 4 4 32
2 17 8 12 5 2
x x x x
x x x x
+
+
.
A.(3 4)( 8)( 4)
( 8)(3 2)(4 1)
x x x
x x x
+ + +
+
B.( 4)
(4 1)
x
x
+
+
C.(3 4)( 4)
(3 2)(4 1)
x x
x x
+ +
+
D.2( 4)
(4 1)
x
x
+
+
3. Find the equation of the perpendicular bisector to AB for ABC with coordinates
A(-2, 4), B(6, -2), and C(8, 6).
A.3 5
4 2y x= + B.
5 2
6 3y x= C.
4 5
3 3y x= D.
4 14
3 3y x=
4. Simplify:
23
53
32
4
x
x
A.7
38x B.8
xC.
1038x D. 8x
Homework Set #4: For each of the following questions, choose the best answer.
1. Simplify: ( ) ( )2 3
3 4 26 2 x y x y
A.2 4
12
x yB.
6 4
12
x yC.
6 4
288
x y
D.
72 12
288
x y
2. Write the equation of the line passing through the point (4, -2) and parallel to the line 2x + y = 6.
A. 2 10y x= B. 2 6y x= + C.1
42
y x= D. 2y x=
3. What is the slope of the line perpendicular to the line y = 3?
A. 0 B. undefined C. 1 D.1
3
4. The length ofMN is half the length ofMP . If M has coordinates (4, -3) and P has coordinates (8, -11),
what is the length ofMN?
A. 4 5 B. 2 5 C. 85 D. 53
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Homework Set #5: For each of the following questions, choose the best answer.1. Solve 7 4 3 10x x = +
A.7
2B.
7
5C.
3
2D.
3
5
2. Solve:2 1 2 5
3 6 9 6x x+ =
A. 34
B. 32
C. 94
D. 98
3. Solve: 3 7( 2) 2( 5) 12x x + = +
A. 3 B.33
5 C.
13
5 D. 15
4. Solve by factoring: 23 11 4 0x x+ =
A.4
1,3
B.1
4,3
C.1
4,3
D.4
1,3
