Download Algebra 2 - Mid-Term Exam - Practice

Algebra 2 - Mid-Term Exam - Practice
Multiple Choice
____
1. Which relation is a function?
a.
b.
____
2. Determine the type and number of solutions for
a. Two real solutions
c. One real solution
b. Two imaginary solutions
d. One imaginary solution.
____
3. Determine which binomial is a factor of
a. x + 16
b. x – 4
.
c. x – 16
Short Answer
Name the property of real numbers illustrated by the equation.
4.
5.
6.
7. 2  –2 = 0
8. –0.9  0 = –0.9
Find the opposite and the reciprocal of the number.
9. 300
10. Simplify
.
d. x + 4
Insert <, >, or = to make the sentence true.
11. 20.35
Evaluate the expression for the given value of the variable(s).
12.
13.
;x=2
Simplify by combining like terms.
14.
Solve the equation. Show all of your work and circle your answer.
15.
16.
Solve the inequality. Graph the solution set.
17. 4 + 4k  0
18. 5(4b + 5) < 20 + 20b
Solve the compound inequality. Graph the solution set.
19. 10x – 4 < –24 or 5x + 11 > 21
Solve the inequality. Graph the solution.
20.
21.
Solve for x. State any restrictions on the variables.
22.
23. For
,
.
24. Find the slope of the line through the pair of points (2, 1) and (9, 7)
25. Find the standard form of the equation of the line with slope = 7 and passing through the point (5, 3)
26. Find the point-slope form of the equation of the line passing through the points (–7, –5) and (6, 5).
27. Find the slope of the line for the equation
28. Find the equation of the line that passes through (4, 2) and is horizontal.
1
29. Find the equation of the line that passes through (4, 5) and is parallel to y = x – 1.
2
30. Find the equation of the line that passes through (–4, –7) and is perpendicular to y =
31. Write two linear equations you can use to graph
32. What is the vertex of the function
5
2
x – 4.
.
?
33. Write the equation 7y = 20x + 0.1 in standard form. Identify A, B, and C.
34. Write an equation in slope-intercept form for the line that satisfies the following condition.
slope 9, and passes through (7, 21)
35.
36. Identify the vertex and the y-intercept of the graph of the function
37. Write
38. Factor
in vertex form.
.
39. Factor
40. Factor
41. Factor
42. Factor
43. Factor
44. Factor
45. Simplify
using the imaginary number i.
46. Simplify
47. Simplify
48. Simplify
49. Simplify
50. Find the missing value to complete the square.
51. Classify –3x5 – 2x3 by degree and by number of terms.
52. Classify –8x5 – 5x4 – 2x3 + 5 by degree and by number of terms.
53. Write the polynomial
in standard form.
54. Write –3x2(x2 + 4x3) in standard form. Then classify it by degree and number of terms.
55. Write the expression (x – 5)(x + 2) as a polynomial in standard form.
56. Write 3x3 – 18x2 + 24x in factored form.