Exam
Name___________________________________
 
Solve the equation.  Identify the equation as an identity, an inconsistent equation, or a conditional equation. 
1) 

 -  =  

 
Solve the absolute value equation. 
2) 

 =  20 

 
Solve the problem. 
3) 

Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make  20 pounds of feed worth  per pound by mixing one kind worth $ 0.35 per pound with another worth  per pound. How many pounds of the cheaper kind should they use in the mix? (Round to the nearest pound.) 

 
4) 

One maid can clean the house in  6 hours. Another maid can do the job in  5 hours. How long will it take them to do the job working together? 

 
Graph the equation. 
5) 

 +   + 6x  + 4y  + 9 = 0

 
Find the equation of the line through the given pair of points. Solve it for y if possible. 
6) 

( -7,  -8), ( -4,  7) 

 
Write an equation in standard form using only integers for the line described. 
7) 

The line through ( 0,  2), perpendicular to y = x + 2 

 
Solve the equation by factoring. 
8) 

  + 14y =  -45 

 
Use the square root property to find all real or imaginary solutions to the equation. 
9) 

 =  64 
A) 

B) 

C) 

D) 

 
Find the real or imaginary solutions by completing the square. 
10) 

 + 4x +  40 = 0 

 
Find the real or imaginary solutions by using the quadratic formula. 
11) 

3  + 12x =  -2 

 
State the value of the discriminant and the number of real solutions. 
12) 

5y2 =  -3y  - 7 

 
Solve the inequality by reading the graph. 
13) 

4x - 3 ≥ 2x + 1

	y = 2x + 1	y = 4x-3 

 
Solve the absolute value inequality. Write the solution set using interval notation. 
14) 

 ≥  4 

 
15) 

9 <  3 

 
16) 

| 19x -  7| <  -5 

 
Find the values of x for which the expression is a real number. 
17) 

 
1) 

Conditional, { 2} 

2) 

{ 113,  -87} 

3) 

14 lb 

4) 

 hr 

5) 

 

6) 

y =  5x  + 27 

7) 

2x  + 3y =  6 

8) 

{ -9,  -5} 

9) 

D 

10) 

{-2 ±   6i} 

11) 

 
12) 

-131, no real solutions 

13) 

[2, ∞) 

14) 

 ∪  

15) 

 
16) 

∅ 

17) 

(-∞,  13)