2. Semester Exam Policy Miss no more than 1 day and have a semester average of at least 70 Miss no more than 2 days and have a semester average of at least 85 Miss no more than 3 days and have a semester average of at least 93 Note: Semester exam day (Friday 5/22) does NOT count as an attendance day :) If you are required to take the semester exam you may come to my classroom during any ONE block to take your test. Example: You are exempted from 1 st block exam… You may take your Alg exam during 1 st, but you are NOT allowed to come back to my class during your regular class period.

3. Algebra IB Semester Test Review Chapters 6, 8, 9, 11, & 12

4. 1. Solve the system of equations using substitution. Then choose the answer that shows the correct x value. 4x + y = 13 ; x = y – 3 A. x = 2 B. x = -7 C. x = 5 D. x = 8 4x + y = 13 4(y – 3) + y = 13 4y – 12 + y = 13 5y – 12 = 13 5y = 25 y = 5 x = y – 3 x = 5 – 3 x = 2

5. A. x = 5 B. x = 1 C. x = 7 D. x = -2 2. Solve the system of equations using elimination. Then choose the answer that shows the correct x value. 2x – 2y = 6 ; -2x + 3y = -8 2x – 2y = 6 -2x + 3y = -8 y = -2 2x – 2(-2) = 6 2x + 4 = 6 2x = 2 x = 1

6. 3. Determine the system that represents the graph. A. y > - x + 1; y ≤ 2x – 1 B. y > x – 1; y ≥ -2x + 1 C. y ≥ - x + 1; y < 2x – 1 D. y ≤ x + 1; y > 2x – 1 1212 1212 1212 1212

7. A. 65 B. 43 C. 99 D. 57 4. The sum of Mia’s and Nic’s Algebra 1 averages is 142. Nic’s average is 13 more than two times Mia’s average. Solve the system to find Nic’s average. m + n = 142 ; n = 2m + 13 m + n = 142 m + 2m + 13 = 142 3m + 13 = 142 3m = 129 m = 43 n = 2m + 13 n = 2(43) + 13 n = 86 + 13 n = 99

8. A. B. C. D. 5. Putting Green Mini Golf changes a $4 golf club rental fee plus $1.25 per game. Good Times Golf charges a $1.25 golf club rental fee plus $3.75 per game. Which system of equations could be solved to determine for how many games the cost is the same at both places? y = 4x + 1.25 y = 3.75 + 1.25x y = 1.25x + 4 y = 3.75x + 1.25 y = 1.25x + 3.75 y = 1.25x – 4 y = 4 – 1.25x y = -3.75 + 1.25x

9. A. x = -4 B. x = -3 C. x = -8 D. x = -11 6. Solve the system of equations using elimination. Then choose the answer that shows the correct value of x. 2x + 3y = -18 ; -2x + 5y = -14 2x + 3y = -18 -2x + 5y = -14 8y = -32 y = - 4 2x + 3(-4) = -18 2x – 12 = -18 2x = -6 x = -3

10. A. (3x – 2) B. (3x + 2) C. (4x – 9) D. (4x + 9) 7. A table has an area of 6x 2 + 23x – 18 square feet. The width is (2x + 9) feet. What is the length? 6x 2 + 23x – 18 2x · 3x -2 · 9 (2x + 9)(3x – 2)

11. A. Prime B. (x – 4 )(x – 6) C. (x – 8)(x – 3) D. (x + 2)(x – 12) 8. Factor x 2 – 10x – 24. x 2 – 10x – 24 x · x 2 · -12 (x + 2)(x – 12)

12. A. (x – 6) 2 B. (x – 18)(x – 18) C. (x + 4)(x – 9) D. (x – 6)(x + 6) 9. Choose the correct factorization of x 2 – 36. x 2 – 36 x · x -6 · 6 (x + 6)(x – 6)

13. 10. Factor completely: 6xy 2 – 18x 2 y + 12xy A. 6xy(y – 3x +2) B. 6xy(y + 3x + 2) C. 6(xy 2 – 3x 2 y + 2xy) D. 6(xy 2 + 3x 2 y + 2xy)

14. A. y = 2x 2 – 2x – 5 B. y = 2x 2 + 2x – 5 C. y = -2x 2 + 2x + 5 D. -2y = -2x 2 + 2x – 5 11. Which of the following functions has a graph with an axis of symmetry of x = - – ? 1212 B. y = 2x 2 + 2x – 5

15. 12. Which of the following quadratic functions would have a graph that opens upward? A. y + 2 + 3x 2 = 1 B. y + x 2 = 3x + 2 C. y = 1 – 2x + 6x 2 D. y = -3x 2 + 4x → y = -3x 2 – 1 → y = -x 2 + 3x + 2 → y = 6x 2 – 2x + 1 → y = -3x 2 + 4x

16. A. (1, 4)B. (3, 0) C. (-1, 0)D. (4, 1) 13. What is the vertex of the function that is graphed?

17. 14. Find the axis of symmetry for the quadratic function. y = 3x 2 – 9x – 5 A. x = 4.5 B. x = -1.5 C. x = 1.5 D. x = 3 B. y = 3x 2 – 9x – 5

18. 15. Solve by factoring. 2x 2 – x – 3 = 0 A., 3 B. 1, C. -3, D. -1, 2x 2 – x – 3 = 0 2x · 1x 1 · -3 (2x – 3)(x + 1) 2x – 3 = 0 x + 1 = 0 2x = 3 x = -1 x = 1.5 {-1, 1.5} 3 2 3 2 3 2 3 2

19. 16. Which quadratic equation has the solutions -1 and -3? A. y = 2x 2 – x – 3 B. y = x 2 + 4x + 3 C. y = x 2 – 4x + 3 D. y = 4x 2 + 7x + 3 y = x 2 + 4x + 3 0 = (-1) 2 + 4(-1) + 3 0 = 0 0 = (-3) 2 + 4(-3) + 3 0 = 0

20. 17. Compare the graph of the function g(x) = -x 2 – 5 with the graph of the function f(x) = x 2 + 3. A. g(x) is narrower and translated down 5 units. B. g(x) is wider and opens down. C. g(x) opens down and is translated down 8 units. D. g(x) opens up is translated up 3 units

21. 18. Which function is graphed? A. y = -x 2 + 4 B. y = x 2 + 1 C. y = x 2 – 5x + 14 D. y = -x 2 + 2x + 3 Type the equations into the calculator and look at the graphs.

22. A. All Real Numbers B. {y|y > 1} C. {y|y ≥ -1} D. {y|y ≤ 1} 19. Find the range of the function that is graphed.

23. A. B. C. D. 20. Simplify the expression and state all restrictions on the domain. x 2 – x – 6 x 2 + x – 12 x + 4 x + 2 x ≠ -2, x ≠ -4 x – 2 x – 4 x ≠ 0 x – 3 x ≠ 3 x + 2 x + 4 x ≠ -4, x ≠ 3 (x – 3)(x + 2) (x + 4)(x – 3)

24. 21. Simplify the expression and state all restrictions on the domain. A. B. C. D. x 2 – 16 x 2 + 8x + 16 (x – 4)(x – 4) (x + 4)(x + 4) x ≠ -4 (x – 4)(x + 4) (x + 4)(x + 4) x – 4 x + 4 x ≠ -4 x – 8 x + 8 x ≠ -8 1 x ≠ -4, x ≠ 4

25. 22. Simplify. A. B. C. D. x 2 + 5x + 6 x 2 + 2x – 15 x 2 + 13x + 40 x 2 – 6x – 16 (x + 2)(x + 3) (x + 5)(x – 3) (x + 5)(x + 8) (x – 8)(x + 2) (x + 3)(x + 8) (x – 3)(x – 8) x 2 + 11x + 24 x 2 – 11x + 24 x 2 + 11x + 24 –1 1

26. 23. Simplify. A. B. C. D. x 2 – 9 2x x + 3 x ÷ (x + 3)(x – 3) 2x x x + 3. x – 3 2 2 2

27. 24. A table has a mass of 52 kilograms. Which is closest to the weight of this table in pounds? A. 180 pounds B. 150 pounds C. 115 pounds D. 24 pounds 52 kg 1 lb 1 0.454kg 1 pound ≈ 0.454 kilograms

28. 25. Which number correctly completes this equation? 6 square yards = ____ square inches A. 216 B.648 C.1728 D. 7776 6 yd yd 3 ft 3 ft 12in 12in 1 1yd 1 yd 1ft 1ft

29. 26. Which of the following is a geometric sequence? A. ½, 1, 3 / 2, 2, … B. 3, 8, 13, 18, … C. -2, -6, -10, -14, … D. 5, 10, 20, 40, … r = 2

30. 27. The function f(x)= 15(1.4) x represents the area in square inches of a photograph after is has been enlarged times by a factor of 140%. What is the area of the photograph after it has been enlarged 4 times? A. 560 square inches B. 57.624 square inches C. 41.16 square inches D. 5.6 square inches

31. 28. The function y = x gives the approximate time in seconds that it takes an object to fall to the ground from a height of meters. About how long will it take an object 25 meters above the ground to fall to the ground? A. 5 seconds B. 11.2 seconds C. 0.4 seconds D. 2.2 seconds 1 5

32. A. 7n 3 B. 7n 2 C. 49n 3 D. 49n 2 29. What is the simplified form of √ 343n 9 ? 3

33. 30. Which of the following is the solution of √ 8 – 2x – 2 = 2? A. 2 B. -2 C. 4 D. -4