Algebra 2First Semester Final Exam* Please DO NOT write on the test! *Form B
1) For the equation 5x – 4y = 20, which has value -5?
(a) the x-intercept(b) the y-intercept
(c) the slope(d) the origin
(e) None of the above.
2) Which equation does NOT represent a direct variation?
(a) (b)
(c) (d) y – 5x = 0
(e) None of the above.
3) Which of the following describes the graph of ?
(a) A v-shape graph with vertex at (0, -7) that opens down
(b) A v-shape graph with vertex at (0, 7) that opens down
(c) A v-shape graph with vertex at (0, -7) that opens up
(d) A v-shape graph with vertex at (0, 7) that opens up
(e) None of the above.
4) What is the vertex of ?
(a) (-7, 5)(b) (7, 5)
(c) (-42, 5)(d) (42, 5)
(e) None of the above.
5) The graph of is translated 4 units left and 3 units down. What is the equation of the new graph?
(a) (b)
(c) (d)
(e) None of the above.
6) Which point(s) are solutions of the inequality 7x + 5y ≥ 2?
I. (-2, -3)II. (9, -1) and (0, 4)III. (0,-3) and (1, -5)
(a) I (b) II
(c) III(d) I and III
(e) None of the above.
7) One equation of a system of equations is 12x – 3y = 6. Which of the following
equations would make the system inconsistent?
(a)y = -4x – 2(b) y = 4x – 8
(c)y = -4x – 8(d) y = -12x - 6
(e) None of the above.
8) What is the solution of the system?
(a) (6, -1)(b) (6, 1)
(c) (-6, 1)(d) (-6, -1)
(e) None of the above.
9) When you graph the inequality y ≤ -6x + 8, the boundary line (on the graph) should be _____, and the shading should be _____ the line.
(a) dotted, above(b) dotted, below
(c) solid, above(d) solid, below
(e) None of the above.
10) Which function is NOT a quadratic function?
(a) y = (x – 17)(x – 2)(b) y = x2 + 3x – 16
(c)y = -2x2 + x(2x + 3)(d) y = x(x – 4) - 6x2
(e) None of the above.
11) The number belongs to which set of numbers?
(a) Natural numbers, Real numbers(b) Irrational numbers, Real numbers
(c) Rational numbers, Real numbers(d) Integers, Rational numbers, Real numbers
(e) None of the above.
12) Which of the following expressions is NOT equivalent to the others?
(a) 5(5n - 2) – 10n(b) 3(5n – 2) + 4
(c) 15n – 10(d) 5(3n -2)
(e) None of the above.
13) If f(x) = -2x2 + 7, what is f(-5)?
(a) 107(b) 57
(c) 43(d) -43
(e) None of the above.
14) What is the solution of the inequality 9 – 4x -4(2 + x) + 3?
(a) (b)
(c) All Real numbers(d) No Real Numbers (No Solution)
(e) None of the above.
15) What is the solution of the compound inequality or ?
(a) x -2 or x 18(b) -2 x 18
(c) All Real Numbers(d) No Real Numbers
(e) None of the above.
16) Which of the following have the same solutions?
I. II. 4x – 7 < 8 and 4x - 7 < -8
III. 4x – 7 < 8 or 4x + 7 < -8IV. 4x – 7 < 8 and 4x - 7 > -8
(a) I and II(b) I and III
(c) I and IV (d) I, III, and IV
(e) None of the above.
17) Which are the solutions to ?
(a) -3 or 11(b) 3 or -11
(c) -7 or 7(d) 1 or 7
(e) None of the above.
18) Which relation is not a function?
(a) (b)
(c) (d)
(e) None of the above.
19) Which equation represents a line through (6, 1) that is perpendicular to y = 3x + 6?
(a) y = 3x – 17(b) y = -3x + 19
(c) (d)
(e) None of the above.
20) Solve .
(a) -11, 5(b) , 21
(c) , 3(d) -3,
(e) None of the above.
21) Write a Polynomial Function in Standard Form with the given zeroes at 2, -3, -2
(a) (b)
(c) (d)
(e) None of the above.
22) What is the vertex of y = -x2 - 8x – 3?
(a) (-8, -3)(b) (-8, 125)
(c) (-4, 13)(d) (-4, 45)
(e) None of the above.
23) Simplify:
(a) (b)
(c) (d)
(e) None of the above.
24) Complete the square:
(a) 6(b) 9
(c) 36(d) 3
(e) None of the above.
25) Solve by using the Quadratic Formula.
(a) (b)
(c) (d)
(e) None of the above.
26) Rewrite in vertex form.
(a) (b)
(c) (d)
(e) None of the above.
27) The vertices of a feasible region are (-5, 1), (0, 2), (0, 0), and (4, 2). For which
vertex is the maximum cost C = -6x + 3y found?
(a) (-5, 1)(b) (0, 2)
(c) (0, 0)(d) (4, 2)
(e) None of the above.
28) Solve using the Quadratic Formula:
29) Solve by Completing the Square:
30) Solve by factoring:
31) Simplify: (3 – 2i)( 4 + 5i)
32) Sketch the graph of
33) Factor: x2 + 3x – 28
34) Factor: 3x2 + 11x + 10
35) Write an inequality for the graph below.
36) Write the polynomial in Standard Form. Classify it by its degree and by the number of terms:
37) Write the product in standard form:
38) Solve the equation:
39) Graph y = x- 4x + 5. State the axis of symmetry and the minimum value.
40) Write an equation of the line through (1, -3) and ( -2, 9) in slope-intercept form, standard form and point-slope form.
Slope-intercept form is
Standard form is
Point-slope form is
Algebra 2First Semester Final ExamName ______
Form B
28. x = ______37. ______
29. x = ______38. x = ______
30. x = ______39. Axis of Symmetry ______
31. ______Minimum value ______
32. Sketch below.Graph Below
33. ______40. Slope intercept ______
34. ______Standard form ______
35. ______Point slope form ______
36. ______
Classify by degree ______
Classify by terms ______