Competency 1: Graphing Linear Equations

ALGEBRA 2 UNIT 2 REVIEW

Competency 1: Graphing Linear Competency 3: Writing the Equation of a Equations Line Graph each of the following equations on the 11a. Write the equation of the vertical line graphs provided, and name the slope and passing through the point (5, -2). y-intercept. 11b. Write the equation of the horizontal line 1. x + 3y = 3 passing through the point (5, -2).

2. 4x + 4y = 0 12. Write the equation of the line that has 3 2 slope  and y-intercept . 3. 3x  6y = 12 4 3

4. x = -3 13. Write the equation of the line that has 4 slope 3 and y-intercept  . 5. y = 4 5

14. Write an equation, in slope-intercept Competency 2: Slope of a Line form, for the line containing the points 6. Find the slope of the line containing (-4, 3) and (2, -1). the points (3, -1) and (6, 4). 15. Write an equation, in slope-intercept 7. Find the slope of the line containing form, for the line containing the points the points (4, -1) and (5, -2). (-3, 2) and (3, 5).

8. Find the slope of the line with the Competency 4: Direct Variation equation 16. If y varies directly as x, and y = 21 when x + 2y = 4. x = 6, find k.

9. Find the slope to the line parallel to 17. If y varies directly as x, and y = 6 when 3x  y = 2. x = 2, write an equation that relates the variables. 10. Find the slope of the line perpendicular to 18. The amount of water in a large picnic jug 5x - 3y = 9. varies directly with the time that the water has been running into it (until the jug is full). After the water ran for 15 seconds, there were 2 quarts of water in the jug. Write an equation that relates the quarts, Q, of water in the jug to the time, t, (in seconds), that the water has been running into it.

19. Solve: 2x  7  15

20. Solve: 6  3y  9 ALGEBRA 2 UNIT 2 REVIEW

Competency 1 Competency 2

1. 5 6. m = 3 7. m = -1 1 8. m   2 9. mP = 3 1 m = - , b = 1 3 3 10. m ^ =  5 2. Competency 3

11a. x = 5 b. y = -2 3 2 12. y  x  4 3 4 m =  1 , b = 0 13. y 3x  5 3. 2 1 14. y= - x + 3 3 1 7 15. y  x  2 2

1 Competency 4 m = , b = -2 2 7 16. k = 4. 2 17. y = 3x 2 18. Q = t 15 19. x = -4, 11 m = undefined , b = none 20. x = 1 , 5

m = 0 , b = 4