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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 €
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