Download Math 1 Mid-Term Exam Test # ______ 1. State the domain for the

Math 1 Mid-Term Exam
Test # __________
1. State the domain for the function f ( x )  x  3 .
(A) 3x<
(B) 3<x< 
(C) 0x<
(D) 0<x<
2. Write the converse of the compound statement:
“If this is not Math 1, then this is not my first test.”
(A) If this is math 1, then this is not my first test.
(B) If this is Math 1, then this is my first test.
(C) If this is not my first test, then this is not
Math 1.
(D) If this is not Math 1 then this is my first test.
3. Which of the following parent functions has an interval of increase for x<0 and
interval of increase for x>0?
(A) Cubic
(B) Absolute
value
(C) Rational
(D) all of these
4. Which type of function would not have a constant rate of change?
(A) rational
(B) quadratic
(C) cubic
5. Given the graph below, which of the following are true?
I. f (x) is increasing on the interval 1 < x < 3.
II. f(x)is decreasing on the interval 0< x < 1
III. f (x) has exactly 2 zeros from 1 ≤ x ≤ 5.
IV. f (x) has a local maximum at x = 3.
(A) I and II
(B) I, II and III
(C) II, III and IV
(D) I, II, III, and IV
5/6/09
(D) all of these
6. It takes Mia 5 hours, reading at a constant rate, to read a certain book containing
200 pages of reading material. If Samantha reads at twice this rate, how many
minutes would it take her to read 100 pages of reading material?
(A) 75
(B) 60
(C) 90
(D) 120
7. According to the graph, which of the following is the closest approximation to the
increase per year in the number of homes sold between 1985 and 1986?
(A) 7,500
(B) 11,500
(C) 15,000
(D) 17,500
8. Use the table of values to determine the function represented.
(A) g(x) = x
(B) g(x) =
x
–2
–1
0
1
2
x2
(C) g(x) = |x|
(D) g(x) = x3
g(x)
2
1
0
1
2
9. Find the 50th term of the sequence 3, 5, 7, 9, …
(A) 100
5/6/09
(B) 101
(C) 103
(D) 105
10. What is a recursive rule for the sequence 2, 7, 12, 17, …?
(A) an = 2(3)n – 1
(B) a1 = 2,
an = 5an – 1
(C) a1 = 2,
an = 3an – 1
(D) a1 = 2,
an = an – 1 +5
Use the Graph below to answer questions 11- 14
11. The Domain of the function is:
(A)
(B)
(C)
(D)
X<0
X>5
All Real Numbers
Y<0
12. The Range of the function is:
(A) X < 0
(B) X > 5
(C) All Real Numbers
(D) Y < 0
5/6/09
13. The Interval of Increase for the function is:
(A)
(B)
(C)
(D)
X>5
All Real Numbers
X<0
X<5
14. The Rate of Change for the interval 3<x<5 is:
(A) 4
(B) 2
(C) 5
(D) 3
15. Al Gone went on a long trip. The graph below represents the relationship between
distance and time. On which interval was Al’s average rate of travel the fastest?
(A) 0 to 6
(B) 6 to 8
(C) 8 to
11
(D) 11 to
16
Perform the indicated operation and then choose the best answer
___16. (5c2 – 4c + 4) + (– 2c2 + 3c + 5)
5/6/09
(A) 3c2 – 1c + 9
(B)
7c2 – 1c + 9
(C) 3c2 – 7c + 1
(D)
7c2 – 7c + 1
___17. (9b2 – 3b + 4) – (3b2 + 4b + 2)
(A) 12b2 - 7b + 6
(B)
6b2 + b + 6
(C) 12b2 + b + 2
(D)
6b2 – 7b + 2
(A) – 6y7 + 12y5 – 9y3
(B)
6y7 – 13y5 + 9y3
(C) – 6y7 + 13y5 – 9y3
(D)
6y7 + 12y5 + 9y3
(A) 2y2 + y + 8
(B)
2y2 + y + 15
(C) 2y2 – y – 8
(D)
2y2 + y – 15
(A) x2 + 14x + 49
(B)
x2 – 14x + 49
(C) x2 + 49
(D)
x2 – 49
___18. -3y3(2y4 – 4y2 + 3).
___19. (y + 3)(2y – 5).
___20. (x – 7)2.
___21. Add:
2
5

x 1 x  3
(A)
7
( x  1)( x  3)
(B)
7x 1
( x  1)( x  3)
(C)
10
( x  1)( x  3)
(D)
7 x  13
( x  1)( x  3)
22. Simplify 3 50  2 6
(A) 3 300
(B) 30 12
(C) 12 30
(D) 6 300
5/6/09
23 Simplify
27
8
3 6
4
(B) 3 6
(A)
(C)
(D)
6 3
4
3 3
2 2
24. Expand the binomial (a + 3)3.
(A) a 3  27a 2  27a  27
(B) a 3  9a 2  9a  27
(C) a 3  9a 2  27a  27
(D) a 3  9a 2  27a  9
25. Find a polynomial expression for the volume of the prism shown.
Simplify completely
(A)
(B)
(C)
(D)
2x3
2x3
2x3
2x3
 3x 2
 5x 2
 3x 2
 3x 2
 27 x  30
 29 x  30
 29 x  20
 29 x  30
26. A polynomial with degree one is called a ________________.
(A) Trinomial
(B) Binomial
(C) Linear
(D) Quadratic
5/6/09
(x + 2)
(x – 5)
(2x + 3)
27. A polynomial with two terms is called a ________________.
(A) Trinomial
(B) Binomial
(C) Linear
(D) Quadratic
28. Find the perimeter of the isosceles trapezoid. Simplify completely.
(A)
(B)
(C)
(D)
(x + 7)
6x + 9
5x + 9
6x + 5
5x + 5
x
(3x – 2)
29. The sides of a rectangle have lengths x + 7 and widths x – 6. Which equation below
describes the perimeter, P, of the rectangle in terms of x?
(A) P = 4x + 26
(B)
P = x2 + 2x – 42
(C) P = 2x + 1
(D)
P = 4x + 2
30. Expand the binomial (x – 2)4
(A)
(B)
(C)
(D)
x 4  4 x 3  24 x 2  32 x  16
x 4  8 x 3  24 x 2  32 x  16
x 4  4x3  6x 2  4x  1
x 4  4 x 3  24 x 2  32 x  16
31. Complete the congruence statement GJH  ___ by ____.
5/6/09
(A)
GJH  IJH by SAS
(B)
GJH  IHJ by SAS
(C)
GJH  IJH by HL
J
(D)
GJH  IHJ by HL
I
G
H
32. The sides of a triangle are 12, 7 and x. Which of the following is a possible value
for x?
(A) 19
(B) 5
(C) 8
(D) 21
33. E is the midpoint of AC and BD . Choose the true statement.
(A) AEB  DEC by ASA
A
(B) AEB  DEC by SAS
(C) AEB  CED by ASA
B
E
D
(D) AEB  CED by SAS
C
34. The medians of a triangle concur at the
(A) orthocenter
(B) incenter
(C) circumcenter
(D) centroid
35. Which points of concurrency may lie outside the triangle?
5/6/09
(A) orthocenter and the circumcenter
(B)
circumcenter and incenter
(C) centroid and incenter
(D)
centroid and orthocenter
36. Given the diagram below. mD = 3x + 4, find x
(A) x = 80
(B) x = 22
(C) x = 66
(D)
x = 106
3
37. Given the diagram below, find mE.
(A) mE = 130
(B) mE = 65
(C) mE = 50
(D) mE = 115
38. Which is a counterexample for the following statement?
“If it grows, then it is alive.”
(A) A dead tree
(B) The national debt
(C) A baby boy (D) A blue whale
39. Given the diagram at right, which theorem or postulate proves 3  7?
(A) Congruent Complements Theorem
(B) Side-Angle-Side Postulate
(C) Vertical Angles Theorem
(D) Corresponding Angles Postulate
5/6/09
40. Given the diagram below with GE, GD and GF are perpendicular bisectors of the
sides of the triangle.
C
G
F
A
D
E
B
G is the ____________________ of the triangle.
(A)
(B)
(C)
(D)
Circumcenter
Orthocenter
Centroid
Incenter
41. Find the value of each variable in the parallelogram.
(A)
(B)
(C)
(D)
b=90, c =80, d=100
b=90, c =100, d=80
b=100, c =100, d=100
b=100, c =80, d=80
42. Which is the inverse of the following statement?
“If it is Thursday, then we eat pizza.”
(A) If we do not eat pizza, then it is not Thursday.
(B) If we eat pizza, then it is Thursday.
(C) If it is not Thursday, then we do not eat pizza.
(D) If it is not Thursday, then we eat lasagna.
5/6/09
43. In a certain regular polygon, the measure of an interior angle is equal to the
measure of an exterior angle. How many sides does the polygon have?
(A)
(B)
(C)
(D)
7
6
5
4
44. Use the information in the diagram to solve for x.
(A)
(B)
(C)
(D)
12
13
14
15
45. The diagonals of a quadrilateral are perpendicular to each other, what kind(s) of
quadrilateral do we have?
(A)
(B)
(C)
(D)
5/6/09
Rhombus
Rectangle
Parallelogram
Trapezoid