Name ____________________________ CP Algebra II Midterm Review Packet 2019-2020 Unit 1: Linear Equations and Inequalities Solve each equation. 1. 2 3 3 5 x 2. 3 4( 5) 6 22 x x x 3. 8 3 5(2 1) x x 4. 3( 2) 4 k k 5. 4 3 6 x x 6. V lhw for h 7. x y b z for x Find the slope of the line that passes through each pair of points. 8. 6, 5 ,(4,1) 9. 4,1.5 ,(4,6.5) 10. 6,8 ,( 4,8) 11. 3, 10 ,( 2, 4)
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Name ____________________________
CP Algebra II Midterm Review Packet 2019-2020
Unit 1: Linear Equations and Inequalities
Solve each equation.
1. 2 3
3 5x 2. 3 4( 5) 6 22x x x 3. 8 3 5(2 1)x x
4. 3( 2) 4k k 5. 4
3 6
x x
6. V lhw for h 7. x y
bz
for x
Find the slope of the line that passes through each pair of points.
8. 6, 5 ,(4,1) 9. 4,1.5 ,(4,6.5)
10. 6,8 ,( 4,8) 11. 3, 10 ,( 2, 4)
Find the slope of the line.
12. 13. 14.
Write the equation in slope-intercept form for each graph.
15. 16. 17.
Graph each line.
18. 𝑦 = −1
3𝑥 + 4 19. 𝑥 = 3 20. 2𝑦 − 4𝑥 = −4
Find the x- and y-intercepts. Write as points!
21. 2 5 10x y 22. 3 4 12 0x y
Find the slope of the line parallel to the given line.
23. a. 1
273
y x b. 6 3 18x y
Find the slope of the line perpendicular to the given line.
24. a. 2 18y x b. 4 16x y
State the slope and y-intercept of the graph of each equation.
25. 3 5 20x y 26. 2 4 10x y 27. 12y 28. 1x
Determine if the lines are parallel, perpendicular or neither.
29. a. b. c.
29
5
511
2
y x
y x
27
3
2 3 36
y x
x y
168
492
x
y
Write the equation in slope-intercept form for the line that satisfies each set of conditions.
30. slope is 3, passes through (0,-6). 31. slope 3
4, passes through (-5,1).
32. passes through (-2,5) and (3,1). 33. passes through (7,1) and (6,2).
Solve each inequality. Graph the solution set.
34. 2 5 7z 35. 3 6x 36. 2 3 4 28f
37. Which of the following is a solution to the inequality 2 5 9x ?
a. 5 b. 6 c. 7 d. 8
38. Which of the following is NOT a solution to the inequality 2 12 3 5x x ?
a. 16 b. 17 c. 18 d. 19
Graph each inequality.
39. 1
52
y x 40. 4 5 10 5x y
Unit 2: Systems of Linear Equations and Inequalities
Graph the following systems of equations on the coordinate plane. Find the solution to the system.