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Intermediate Algebra TEST 1: Review Solutions
Intermediate Algebra TEST 1: Review Solutions
1. If find
the value of y when x = 2

2. Multiply :

3. Multiply:
or use the rule 
4. Simplify by subtracting :

5. Multiply:

6. Multiply:

7. Multiply:

8.Simplify and write with positive exponents :
Cancel terms inside the parentheses first, then square. 
9. Factor: Using the Difference of 2 Squares rule, 
10. Factor completely : First factor out the highest common factor , then use the Perfect Squares rule. 
11. Factor completely:

12. Factor: Use the Sum of Cubes rule, 
13. Solve for x :

14. Solve for x :
multiply through by the lowest common denominator, 12 
15. Solve for x:

16. Solve for x and graph on the number line :

17. Solve for x:
Use the rule that if Therefore 
18. Solve for x:
Therefore x = −3,1 
19. Solve for x and graph on the number line :
Use the rule that if  x  < a, then a < x < a 
20. Solve for x and graph and the number line :
Use the rule that if  x  > a, then x > a or x < a 
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