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Name _____________________________
Date ___________________

Algebra
(Answer ID # 0480187)
Simplify.
1.   (7t-6)(-3t-3c-3)
2.   (-11j4)(-6j-3)
3.   (-8l4)(-5l4b-4)

Find the minimum and maximum values of the objective quantity.
4.   5x + 2y    -17
3x - 4y    -5
x + y    -7
x - y = -1
f(x,y) = 6x + 11y
5.   5x - 3y    0
3x - 5y    17
4x - y    0
4x - 7y    23
f(x,y) = -10x - 12y
6.   5x - 6y    34
4x - y    12
7x - 8y    71
2x + y    17
f(x,y) = -7x + 9y + 7

Complete.
7.   Michael has 1 liter of a mixture containing 69% of boric acid. How much water must be added to make the mixture 50% boric acid? (represent answer as a fraction)
8.   The diagonal of a rectangle is twenty-five inches more than its width. The length of the rectangle is seventeen inches more than its width. What are the dimensions of the rectangle?

Solve each system by graphing. Find the vertices of the graph.
9.   3x - 2y    7
x - 4y    -1
x + y    -1
10.   9x - 7y    -1
3x + 2y    -22
12x - 5y    16
11.   2x - 3y    -23
9x - 8y    -87
7x - 5y    -53

 

Solve each system of equations using the elimination method.
12.   11x + 6y = 153
156 =  -3y  +  10x
13.  
-112

3
  +  
2

3
y  = x

x =  
19

9
y  -  
479

9

State whether the value for the unknown makes the inequality true or false.
14.  
20t  <  49

t = 9
15.  
7  >  
a

12

a = 42
16.  
80

m
    10

m = 8

Complete.
17.   The measures of two angles in a supplementary triangle are in the ratio of 1:11. What is the measure of the larger angle?
18.   The sum of thirty-nine and twenty-one is forty-six more than a number. What is the number?

Simplify.
19.   (27x)4    ÷  (30x)0  
20.   (23x)3    ÷  (-4x)2  
21.   (-28x)    ÷  (-5x)  

 

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