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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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