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€ € € € € € € € € € € WARM UP Find the x-‐intercept and y-‐intercept of the following lines. ⎛ 1 ⎞ 1. y + 3 = −2x + 4 ; (0,1) and ⎜ ,0⎟ ⎝ 2 ⎠ 2. y = −2x +10 ; (0,10) and (5,0) 3. x = 4 ; None and ( 4,0) 4. y = −2€ ; (0,−2) a€ nd None € € Write the € equation of the line, given 3 5. €The line passing through (2,-‐6) and (8,3). y = x − 9 2 6. The horizontal line passing through (-‐2,4). y = 4 7. The line through (-‐2,8) and parallel to 2x + y = 7 . y = −2x + 4 ⎛ 5 9 ⎞ 4 11 € 8. The line through ⎜ , ⎟ and perpendicular to 4 y − 5x = 3. y = − x + ⎝ 8 4 ⎠ 5 4 € Solve each system. € € 5x + y = 16 3x − 8y = 0 9. ; (2,6) 11. ; (16,6) € −3x + y € =0 −2x € + 5y = −2 5x − y = −9 x − 2y = 5 10. ; (-‐1,4) 12. ; (2a+5,a) 2x + y = 2 2x − 4 y = 10 € Simplify each expression. 7x 2 7 18. 3 −81 ; −33 3 € 13. 3 ; −1 9 x x 19. (6 0 − 3−2 ) ; 2 0 2 2 14. 6y (2y ) ; 24 y 8 3 32x 4 2x ; 12(x + y) 4 20. € € 15. ; (x + y) 2 4 5 5 3 21. 16x y ; 2xy 3 2xy € 9(x + y) 3 € 4 € 4 7 4 3 8 ; 2 2 16. € 22. 80u v ; 2 u v 5v 4 2 2 4 4 € € 17. 3x y ; x 3y € € € € € € €