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AVUHSD Alg. 1 Sem 2 DBME
6 Week Study Guide (10-11)
1. a. What integer is 105 the
closest to?
b. What integer is 160 the
closest to?
c. What integer is 329 the
closest to?
d. What integer is 359 the
closest to?
2.
3
4
5
32
7
18
b. Simplify:
5
72
c. Simplify.
5
75
d. Simplify
2
6
7
0
0
 x  2
c. 

 x2
0
 7x4  2 

d. 
 6x  7 y 
8
0
a. 2 27  7 12  3 3 =
b. 80  2 45  3 5 =
c.  3 50  4 32  5 2 =
d. 3 63  7 28  6 7 =
(3 x  5) 2  26
b.
( 2 z  7) 2  7
c.
(5 y  3)  14
d.
(7 x  11) 2  11
9
Find the roots of the equation:
2
a. x (x 4 ) 3 
b. z 3 (z 6 ) 2 
c. x 2 (x 3 ) 5 
d. x 6 (x 2 ) 3 
a. 2ab  6ab 
b. 14ab  21ab 
c. 15 pq  30 pq 
d.
2x3  2x 2  4x
x 3  3x 2  5 x
x3  6x 2  9x
5 z 3  40 z 2  35 z
a. 7 
 x
b.  
 13 
a. Simplify:
a.
a. Factor
b. Factor
c. Factor
d. Factor
10 p 3 q  6 pq 
a. x2 - x – 12 = 0
b. x2 + 3x – 18 = 0
c. x2 - 8x + 15 = 0
d. x2 + 16x = -63
10
Find the solutions to the given
quadratic equation?
a.
b.
c.
d.
3x 2  x  4  0
7 x 2  15 x  2  0
2x 2  7x  6  0
6 x 2  23 x  7
AVUHSD Alg. 1 Sem 2 DBME
6 Week Study Guide (10-11)
11
17
a. (x) 2
b.
( 6) 2
c.
(6 x  2) 2
d.
(4 z  2 y  6) 2
18
12
13
14
15
16
a. Factor
b. Factor
c. Factor
d. Factor
x 2  49
x 2  121
9a 2  169b 2
z 2 1
a. Factor
b. Factor
c. Factor
d. Factor
3x 2  x  2
2x 2  7x  4
3x 2  4 x  15
9a 2  12a  5
Find the roots of:
a. y = 5x2 + x –18
b. y = 6x2 +13x +6
c. y = 4x2 +4 x – 15
d. y = 15x2 –19 x +6
What is the factored form of:
a. 6a 2  4ab  10b 2
b. 6c 2  33cd  15d 2
c. 12 x 2  28xy  24 y 2
d. 15s 2  19 st  6t 2
What is the factored form
of
a. x 2  22 x  121
b. y 2  28 y  196
c. 3x 2  36 x  108
d. 2 x 2  20 x  50
a.
b.
c.
d.
 5 5 5
122 2  5 2
7 13  6 13
5 7 7 7
a. Solve
b. Solve
c. Solve
d. Solve
z 2  64  0
x2  4
y 2  36
x 2  144  0
19
a. 5 3  7 2  8 3
b. 2 7  6 11  7
c.  19 15  2 31  9 15
d. 2 11  6 11  8 21
20
Completely factor
a. z 2  6 zy  7 y 2
b. a 2  3ab  10b 2
c. x 2  4 xy  4 y 2
d. x 2  11xy  28 y 2
21
a. Simplify
b. Simplify
c. Simplify
d. Simplify
22
What is factorable
a. x 2  36 ?
b. x 2  49
c. 9 x 2  16 y 2
d. 4a 2  25b 2
48
18
200
288
23. Classify a given number as rational,
Irrational, whole or integer (Note
some numbers can exist in more
than one number set.)
a. 48
c. -22
2
b.
d. 9
3
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