Embed Size (px)
Citation preview
Algebra 2 Unit 8 Practice Test Multiple Choice.
1. Solve by graphing. – 𝑥 + 𝑦 = −2𝑥 + 3𝑦 = 6
a. No Solution b. (-‐3, 1) c. (1, 3) d. (3, 1)
2. Does the system have one solution, no solution, or an infinite number of solutions? 2𝑦 = −2𝑥 + 18𝑥 + 𝑦 = 5
a. No Solution b. One Solution c. Infinite Number
3. What is the value of x in the system? −6𝑥 + 5𝑦 = −34−2𝑥 + 2𝑦 = −10
a. 8 b. 9 c. 5 d. 4
4. Solve the system by any method. 𝑥 + 𝑦 = −3𝑥 + 𝑦 = −9
a. (0, -‐12) b. (-‐3, -‐9) c. Infinite Number d. No Solution
5. Solve by the substitution method. 𝑥 + 6𝑦 = 407𝑥 + 5𝑦 = 58
a. (3, 7) b. (-‐4, 7) c. (4, 6) d. No Solution
6. Solve the system by the elimination method. 𝑥 + 4𝑦 = −6
−7𝑥 + 3𝑦 = −51
a. (-‐6, -‐2) b. (6, -‐3) c. (5, -‐2) d. No Solution
7. Graph the solution of the system. 𝑥 − 𝑦 ≤ 4𝑥 + 𝑦 ≥ 10
a. b. c. d.
8. What are the x-‐coordinates of the solution for the system? 𝑥! − 𝑥 − 17 − 𝑦 = 3−3𝑥 + 𝑦 = −15
a. x = -‐5 and x = 1 b. x = 5 and x = -‐1 c. x = -‐5 and x = -‐1 d. x = 5 and x = 1
9. Which quadrant contains the solution region created by the following system? 𝑦 ≤ −2𝑥 + 2𝑦 ≥ −3
𝑦 ≤ 3𝑥 − 3
a. Quadrant I b. Quadrant II c. Quadrant III d. Quadrant IV
10. Solve the following system to find the y-‐coordinate of the solution. 𝑦 = 𝑥! − 4𝑥 + 6𝑦 = 𝑥 + 2
a. y = 6 and y = 3 b. y = 4 and y = 1 c. y = -‐6 and y = 3 d. No Solution
Free Response.
11. Solve by graphing. 𝑥 − 𝑦 = 2𝑥 + 𝑦 = 0
12. Solve by any method. 𝑥 − 5𝑦 = 35𝑥 − 4𝑦 = 15 13. Solve by any method.
2𝑥 = −2𝑦 + 63𝑥 + 3𝑦 = −15
14. Solve by any method. −7𝑥 − 6𝑦 = −245𝑥 + 3𝑦 = 12 15. Solve by any method.
𝑥 + 6𝑦 = 342𝑥 + 12𝑦 = 68
16. Graph the solution to the system. 𝑥 + 𝑦 < 2
−2𝑥 + 𝑦 > −3 17. Graph the solution to the system. 𝑦 ≤ 𝑥 + 4
𝑦 < −3𝑥 + 5𝑦 ≥ 1
