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Name _____________________________
Date ___________________

Algebra
(Answer ID # 0647789)
Simplify.
1.  
5-7  ×  59
2.  
611  ×  612
3.  
2-7  ×  2-6

Solve each inequality.
4.  
15

7
    q  -  
19

5
5.  
-2    d  +  
3

2
6.  
3

5
  +  b    
2

3

Factor completely.
7.   x2 - 9x + 20
8.   x2 + 5x - 24
9.   x2 + x - 132

Add.
10.   (4x + 19) + (16x + 10)



11.   (20x + 12) + (20x + 6)



12.   (6x2 + 18x + 20) + (9x2 + 11x + 5)




 

Is the given expression a factor of the polynomial?
13.   f(x) = 2x3 - 24x2 + 72x  
Is x - 6 a factor?
14.   f(x) = x3 - 64  
Is x - 4 a factor?
15.   f(x) = -x3 - 3x2 + 70x  
Is x + 10 a factor?

Complete.
16.   Solve for c:
4c

5
 -
1

2
   =  
-25

2
17.   Simplify:
 6 
192
 +
 5 
12
  
 2967 
7125
  
  
204
  
 58 
6
  
 1682 
6
  
 841 
12
  
 58 
3

Use the quadratic formula to solve each equation.
18.   6x2 + 5x - 3 = 0
19.  
-9x2 - x + 11  =  0
20.  
-4x2 + 8x + 18  =  -8x2 + 24

Complete.
21.   There are three consecutive multiples of nine. The sum of the first two numbers is 2,853. What are the integers?
22.   Taylor leases cars for $79 per month plus two cents per mile the car is driven up to 72 miles and ten cents per mile over 72 miles. Rachel and Kaitlyn both rented a car from Taylor. In February, Rachel paid $17.82 more than Kaitlyn. How many more miles did Rachel drive?

 

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