Prerequisite Skills VOCABULARY CHECK 1

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Y -intercept ANSWER slope ANSWER Prerequisite Skills VOCABULARY CHECK Copy and complete the statement. ? In the equation y = mx + b, the value of m is.

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Prerequisite Skills VOCABULARY CHECK 1 Copy and complete the statement using f(x) = and g(x) = 4x + 2. x 1. The domain of f(x) is ? . ANSWER x ≠ 0 2. The range of g(x) is ? . ANSWER all real numbers 3. The composition f (g(x)) is equal to ? . ANSWER 1 4x + 2

Prerequisite Skills SKILL CHECK Solve the equation. Check your solution. 4. 7x + 3 = 31 ANSWER 4 5. 9 = 2x – 7 ANSWER 8 6. 14 = –3x + 8 ANSWER –2

Prerequisite Skills SKILL CHECK Solve the equation. Check your solution. 7. 10 – 3x = 28 ANSWER –6 8. 11x + 9 = 3x + 17 ANSWER 1 9. 2x + 3 = –6 – x ANSWER –3

( ) ( ) Prerequisite Skills SKILL CHECK Solve the system using any algebraic method. 10. 3x + y = 0 , –2x – 4y = –30 ANSWER (–3, 9) 11. 2x – 2y = 10 , x + y = –10 ( ) ANSWER – , – 2 15 5 12. 4x – 5y = 25 , 0.5x + 1.5y = 18.5 ( ) 260 17 123 ANSWER ,

Prerequisite Skills SKILL CHECK Let f(x) = 2x – 1 and g(x) = –2x–1. Perform the indicated operation and state the domain. 13. f (g(x)) ANSWER –4x–1 – 1, all real numbers except x = 0 14. f (f (x)) ANSWER 4x – 3, all real numbers 15. g(g(x)) ANSWER x, all real numbers except x = 0