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HW 29 Worksheet #1-19
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For #1-8, simplify each expression as much as possible.
1.) 6 x 2  4 x  2 x 2  9 x
2.) 5x  8 y 2  2 y  8x  6 y  9 y 2
4.) 8  6x  4 y  3
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7.) 4 x 2 y 5xy  2 x 2 y  8x 2 y 4
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5.) 6 9 x  7 x 2
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8.) 9 x3 y 2 6 xy 2  7 x 2 y 3  8x 2 y
3.) 7 xy  3 y 2  5 y 2  8xy  4x 2
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6.) 2 x 2 9 xy  4 x  6 x3



For #10-13, simplify each expression.
10.) ( x  7)( x  4)
11.) ( x  9)( x  8)
12.) (2 x  1)(3x  4)
13.) (4 x  5)(6 x  7)
For #14-16, simplify each expression completely.


14.) 3 120 6 50


15.)
72  4 242
16.)
3
8
For #17-19, simplify each expression completely. Leave only positive exponents in your answers.

17.) 3x3 y8

3

6 3 2
 4x y

18.) 
 12 x 9 y 



19.)
10 x6 y 3 16 x 4 y 8

12 x 1 y 9 24 x 3 y
HW 30 Worksheet #1-15
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For #1-6, factor each expression as much as possible. Show a CHECK for each problem!
1.) 14 x3  6 x 2  24 x
2.) 8x 4  32 x 6  16 x 3
3.) 20 x3 y  30 x 2 y 2  45x 4 y3
4.) 18x 4 y 2  36x7 y 4  12 x3 y3
5.) 9 x 2 y 4 18x3 y  30xy 2
6.) 24x3 y3  16x 4 y 2  8x5 y3
For #7-9, simplify each expression completely.
7.) 6 48  2 27
8.)
 4 12  2 18 

9.)
24
27
For #10-12, find the slope of each line passing through the given points.
10.) (8, 3) and (-4, 9)
11.) (-6, -1) and (-8, -9)
12.) (4, 2) and (4, 8)
For #13-15, graph each line using the slope & y-intercept.
13.) 2x + 3y = 12
15.) -3x – 4y = 16
14.) 4x – 2y = 6
HW 31 Worksheet #1-18
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For #1-6, find two numbers that multiply to the top number and add to the bottom number.
1.)
2.)
3.)
4.)
5.)
6.)
For #7-12, simplify each expression as much as possible.
7.) 6 x 2  4 x 3  9 x 2  8x  7 x 3

10.) 3x 2 2 x 2  7 x  4
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
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

9.) 4 6 x 2  8x  9
11.)  x  7   x  8 
12.)  3x  4  2x  9 
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8.) 7 x 2  5x  9 x 2  3x
For #13-15, factor each expression completely. Show a CHECK for each problem!
13.) 8x 6  12 x9  24 x 3
14.) 16x6 y 3  24x3 y 5  30x5 y8
15.) 12x7 y 2  60 x 4 y5  36x5 y3
For #16-18, simplify each expression completely. Leave only positive exponents in your answers.

5 2
16.) 6 x y
8x y 
7 3


17.) 3x6 y3

3
18.)
14 x7 y 2
26 x 3 y5
HW 32 Worksheet #1-15
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For #1-9, factor each expression completely! Be sure to perform a CHECK for each problem!
2
1.) x  8x  16
2
2.) n  16n  64
2
3.) x  8x  15
2
4.) x  36
2
5.) x  6 x  8
2
6.) x  14 x  24
2
7.) x  13x  30
2
8.) x  3x  40
2
9.) x  144
For #10-11, factor out the GCF from each expression. Show a CHECK for each problem!
10.) 8x 7  24 x3  32 x5
11.) 16 x 4 y5  8x8 y 7  32 x6 y 4
For #12-15, solve each equation. Leave your answers as integers or reduced proper or improper
fractions.
12.) 2x  6  18
13.) 3x  4  7 x 12
14.) 2(4 x  1)  x  6
15.)
3
5 5
2
x  x
4
2 6
3
HW 33 Worksheet #1-15
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For #1-10, factor each expression completely! Be sure to perform a CHECK for each problem!
2
1.) x  5x  6
2
2.) x  4 x  5
2
3.) x  14 x  45
2
4.) x  8x  15
2
5.) x  2 x  15
2
6.) x  64
2
7.) x  9 x  10
2
8.) x  19 x  18
4 6
6 3
2 5
10.) 18x y  36x y  81x y
5
4
3
9.) 8x  12 x  28x
For #11-13, simplify each expression completely.
11.) (4 x  3)(2 x  9)
12.) (5x  1)(6 x  7)
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For #14-15, simplify each expression completely.
2 3
15.)
14.) 96  18
72

3
6
7
2
13.) 8x 2 x  5x  3x

HW 34 Worksheet #1-15
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For #1-8, factor each expression completely! Be sure to perform a CHECK for each problem!
3.) y 2 10 y  25
1.) x 2  144
2.) x 2  x  56
4.) x 2  22 x  75
5.) 18m 2 n 4  12m 2 n3  24m3n 2
7.) x 2  64
8.) x 2  9 x  18
6.) 3x 2  21xy  54 y 2
For #9-10, find the slope of the line passing through the two given points.
9.) (-6, -3) and (-4, 2)
10.) (5, 8) and (-2, 8)
For #11-13, solve each equation. Leave your answers as integers or reduced proper or improper
fractions.
4 7
7
11.) 7 x  8  3x  20
12.) 3(2 x  9)  3x  18
13.)  x 
5 8
3
For #14-15, solve each inequality.
14.) 2x  9  7
2
15.)  x  5  9
3
HW 35 Worksheet #1-15
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For #1-10, factor each expression completely! Be sure to perform a CHECK for each problem!
2
1.) 3a  6a  3
2
2.) 3x  12 x  12
2
3.) 6 x  12 x  6
2
4.) 3m  18m  27
2
5.) 3x  33x  36
2
6.) 4 x  64
2
7.) 8x  32 x  32
2
8.) 2 x  12 x  16
2
9.) 6 x  54
2
10.) 2 x  22 x  48

For #11-13, simplify each expression completely. 
2 3
5 2
3 9
3 6
12.)
11.) 6 x y 4 x y  8x y  2 x y



 9x  4   2x  5 


13.)
 6x 1  2x  3
For #14-15, simplify each expression completely. Leave only positive exponents in your answers.
14.)
18x 3 y 4
24 x 2 y 7
2
 16 x 4 y8 

15.) 
7 2
20x
y


HW 36 Worksheet #1-15
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For #1-10, factor each expression completely! Be sure to perform a CHECK for each problem!
1.) 4 x 2  25
2.) 9 y 2  30 y  25
3.) 16 x 2  1
4.) 16 x 2  8x  1
5.) x 2  26 x  169
6.) 5x 2  20 x  20
7.) 2 x 2  5x  3
8.) 4n 2  4n  15
9.) 4a 2  2a  6
10.) 6 y 2  7 y  20
For #11-12, simplify each expression completely.
11.) 6x(8x3  2 x 2  4)
12.) (7 x  3)(2 x  5)
For #13-15, graph each line using the slope & y-intercept.
14.) 3x  2 y  12
13.) y  3x  8
15.) x  8 y  32
HW 37 Worksheet #1-15
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For #1-10, factor each expression completely! Be sure to perform a CHECK for each problem!
1.) 12 x 2  9 x  15
2.) 5x 2  45
3.) 6 x 2  41x  7
4.) x 2  7 x  18
5.) 8x 2  10 x  3
6.) 9a 2  15a  6
7.) 5 y 2  36 y  32
8.) 4n 2  12n  9
9.) 2 x 2  12 x  18
10.) 8x 3  200 x
For #11-12, simplify each expression.
11.) ( x  6)(2 x  9)
12.) (4 x  3)(7 x  2)
For #13-15, find the x- & y-intercepts. Write each intercept as an ordered pair.
5
13.) y  x  30
14.) 3x  9 y  45
15.) 2 x  8 y  24
4
HW 38 Worksheet #1-15
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For #1-6, simplify each expression completely.








4
2
1.) 3 7 x  2 x  9


3
2
2.) 4 6 x  5x  8

3.) 6 x

2 4 x5  3x 2  7 x 4


4.) ( x  3)( x  8)
5.) (2 x  9)( x  4)
6.) (8x  3)(2 x  1)
For #7-12, factor each expression completely! Be sure to perform a CHECK for each problem!
7.) x 2  8x  16
8.) x 2  4 x  12
10.) 2 x 2  5x  3
11.) 12m 4 n 4  3m3n 2  6m 2 n 2
9.) 3x 2  5x  2
12.) 9 y 2  4
For #13-15, solve each inequality.
14.) 3  x  8
13.) 2x  1  9
15.) 3x  4  19
HW 40 Worksheet #1-15
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For #1-5, solve each equation. Leave your answers as integers or reduced proper or improper
fractions.
3
1
x6 5
2.)
3.)  8x  16    6 x  10 
1.) 6x  4  8x  4x  6  x

4
2
x3 8
4.)
4
1 5
3
x  x
3
8 6
4
5.) 2(3x  4)  2 x  6
For #6-10, factor each expression completely. Show a CHECK for each problem!
6.) 16x7 y 3  8x3 y 4 12x6 y5
7.) x 2  6 x  5
9.) 6 x 2  7 x  2
10.) 9 y 2  30 y  25
8.) 3 y 2  12
For #11-12, simplify each expression completely.
11.) 4 27  6 12
12.) 5 8 3 72
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

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For #13-15, simplify each expression. Leave only positive exponents in your answers.
13.)
30x5 y 9
24 x 2 y 4

3 8
14.) 4 x y
8x y 
6 3
2
 6x 5 y 3 
15.) 

 18x7 y9 

