Intermediate Algebra TEST 1: Review Solutions
Intermediate Algebra TEST 1: Review Solutions
1. If ![]()
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2. Multiply :
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3. Multiply:
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4. Simplify by subtracting :
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5. Multiply: ![]()
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6. Multiply:![]()
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7. Multiply:
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8. Simplify and write with positive exponents:
Cancel terms inside the parentheses first, then square. |
9. Factor: ![]()
Using the Difference of 2 Squares rule,
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10. Factor completely :![]() First factor out the highest common factor , then use the Perfect Squares rule. |
11. Factor completely:
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12. Factor:![]()
Use the Sum of Cubes rule,
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13. Solve for x :
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14. Solve for x :
![]()
multiply through by the lowest common denominator, 12 |
15. Solve for x:
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16. Solve for x and graph on the number line :
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17. Solve for x:
![]() Use the
rule that if Therefore |
18. Solve for x:
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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 :
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Use the rule that if | x | > a, then x > a or x < -a |
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