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Name _____________________________
Date ___________________

Algebra
(Answer ID # 1014000)
Solve each equation by factoring.
1.  
17x - 79  =  -4x2 - 2
2.  
-75x2 + 290x  =  240
3.  
1

3
x2 - 3x + 
14
2

3
  =  2x

Complete and write in lowest terms.
4.  
2k

5
-
9k

15
5.  
4c

7
-
8c

28
6.  
7b

6
-
5b - 12

24

Graph each equation.
7.  
y =  4x   -  8
8.   2y = -6

Solve each system by graphing. Find the vertices of the graph.
9.   3x - 2y    5
5x + 2y    3
3x - 4y    -19
x - 8y    -13
10.   3x - y    4
4x - y    17
2x - y = 5
7x - 5y    20
11.   2x + 3y    5
x + y    4
x - 3y    -20
3y    9

 

Complete.
12.   Find the sum of 3j2 + 12j - 4 and 6j2 + 11j - 7.
13.  
The equation  a + k = k + a
is an example of which of the following?
  the communitive law
  distributive property
  identity property
  the associative law
  inverse property

State the inverse of each relation. Is the inverse a function?
14.   {(-11, -10), (-12, -9), (9, -12),
(16, 6), (18, -2), (-5, 3)}
15.   {(4, 7), (13, -9), (-10, -9),
(-19, -9)}
16.   {(-5, -4), (18, -5), (-15, -2),
(-9, -9), (11, 0)}

Simplify.
17.   (-2a6)(6a2)
18.   (-2k6)(-4k5n6)(-11k5)
19.   (-10s6z3)(-8s6)

Factor out the GCF from each polynomial.
20.   -26x4 + 234x2
21.   -18x4 + 16x3
22.   5x6 + 12x4

 

Answer Key

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