Download 79. List the numbers that are the domain in the chart above. (1 point)

Multiple Choice (46 pts): _______
Free Response & Matching (60 pts): _______
Algebra I
Semester 1 Practice Exam
Final Grade (106 pts): _______
Name _______________
1. Find the value of 16 + 12x – x when x = 2.
3
A. 32
C. 48
D. –16
B. −4
C. 14
D. 2
B. –2
C. 2
D. 48
B. 34
2. – (–5) – (–3) + ( –6) = _______
A. –14
3. Solve: –8 = 6 + x
A. −14
4. What is the range of the ordered pair (–7, 5)?
A. –7
B. – 2
C. 5
D. all reals
5. Which equation describes four more than twice a number is fifteen?
A. 4 – 2x = 15
B.
x
+ 4 = 15
2
C. 2x + 4 = 15
D. 2x – 4 = 15
6. Which expression describes seven less than x?
A. 7 – x
B. x – 7
C. 7x
D.
B
7. What is the equation of line B?
A. x = 2
B. x = –2
C. y = 2
D. y = –2
x
7
8. An equation of the line whose slope is 4 and whose y-intercept is –2 is:
A. y = 4x + 2
B. y = 4x – 2
C. y = –2x + 4
D. y = 2x – 4
B. x > –1
C. x < 1
D. x > 1
9. Solve: −3x + 8 > 2x + 3
A. x < –1
10. Find the value of 4y2  2 + 15 when y = 10.
A. 35
B. 815
C. 55
D. 215
11. Is x = 4 a solution of the equation 7x – 5 = 19 + x?
A. YES
B. NO
C
12. What is the x intercept of line C?
A. 2
B. –2
C. 3
D. –3
13. Evaluate 4y2 – n(x – y) when n = 3, x = 5, and y = 2
A. 7
B. 39
C. 55
D. 183
14. What is the equation of the line that has slope of 7 and a y-intercept of 3?
A. 3x + y = 7
B. –7x + y = 3
C. -3x + y = 7
D. 7x + y = – 3
15. Solve: –6x – 14 < 4
A. x > 
5
3
B. x < –3
C. x > –3
D. x < 7
B. 3
C. 1
D. –1
B. x > 3
C. x > 5
D. x > −3
16. Solve: 24x – 20 – 12x = 16
A. –3
17. Solve: x + 4 > 1
A. x < 5
18. Which property of real numbers is demonstrated below?
2(x – 8) = 2x – 16
A. Associative property of addition
B. Commutative property of addition
C. Identity property of addition
D. Distributive property
19. What is the slope of line D?
B. –2
A. 2
C.
1
2
D. –
1
2
D
20. Find the slope of the line that passes through the points (4, 3) and (6, 9)?
A.
1
3
B.
5
6
C. 3
D.
1
3
21. Which property of real numbers is demonstrated below?
a●b●c=a●c●b
A. Commutative property of multiplication
B. Associative property of multiplication
C. Identity property of multiplication
D. Distributive property
22. Solve: 12(2 – x) + 8x = –10(x + 3)
A.  9
B. 
5
7
3
C. 
27
7
D. –9
C
23. What is the y-intercept of line C?
A. 2
B. –2
C. 3
D. –3
24. Name the slope of the line represented by this equation: y + 8x = 6
A.
6
B.
−6
C.
D.
8
−8
25. Find the slope of the line that passes through the points (5, 9) and (5, 7)?
A. 0
B. undefined
C. 2
D. ½
C. 42
D. 45
26. Evaluate the expression 3  (62 + 3).
A. 15
B. 117
27. Simplify the expression 10y – 3x + 4x – 2y.
A. x + 8y
28. Solve:
B. 7x + 2y
C. 2x + 7y
D. –7x + 12y
B. 8
C. 12
D. 27
2
x  7  15
3
A. 6
29. What is the equation of line A?
2
3
B.
2
C. y  x  2
3
2
D. y  x  2
3
30. Write y 
y
2
2
3
A. y  x  2
A
3x
 7 in standard form.
2
A. 7y = 3x – 2
B. –3x + 2y = 14
C. 3x – 2y = 7
D. 3x – 2y = 14
31. Which equation does NOT have a solution of w = 3?
A. 3w – 4 = 5
B. 20w – 22 = 38
C. 12 + 2w = 18
D. 16 = 22 – w
32. Simplify –2(4x – 5) + 3x
A. –8x + 10
B. 5x – 10
C. –5x + 10
D. –23x + 10
33. Solve: 8x – 6(x + 2) = 10 (4 – x)
A. 
13
3
B.
13
3
3
13
C.
D. 
3
13
34. Find the slope of the line passing through the points (16, –8) and (–8, 4).
A. 
2
3
B.
1
2
C. 
1
2
D. 2
3
2
35. Which is an equation of line perpendicular to the line y   x  4 ?
3
2
B. y   x 6
2
3
2
3
D. y   x  2
A. y  x  2
3
2
C. y  x 3
36. Which does NOT represent a function?
A. (4, 2) , (3, 5) , (1, 6) , (4, 7)
B. (1, 4) , (6, 5) , (4, 2) , (1, 0)
C. (1, 2) , (3, 5) , (4, 2) , (5, 0)
D. (1, 4) , (6, 3) , (3, 2) , (7, 1)
37. Choose the inequality that would correctly compare –3 and –8.
A. –3 < –8
B. –3 > –8
C. –8 > –3
D. Both B and C
38. What is the slope of the graph of 3x + 4y = 15?
A.
3
4
B. 
4
3
C.
4
3
D. 5
39. When LWH = A is solved for L, which equation results?
A. L = A – HW
B. L = A – H
W
C. L = A
WH
D. L= H – A
W
C. 14
D. 26
40. Evaluate f ( x)  5 x  6 when f (4)
A. – 20
B. 13
41. Which graph displays a direct variation?
A.
B.
42. Simplify:
A. 0
D
C.
12  6  4  2
B. 12
C. 16
D. 36
43. Which of the following is the simplified form of
A. -6x − 4y – 10
B. 6x − 4y + 10
44. What is the solution to:
A. x  9
A. 8
B. 10
C. 14
D. 12
C. 6x + 4y + 10
D. 26x + 24y + 12
6(x – 5)  24?
B. x  -1
45. What is the missing value?
- 6 - 10x - 10y + 16x + 14y + 16 ?
C. x 
17
3
D. x  9
x
y
1
9
3
6
11
?
9
17
46. Which graph represents a function?
A.
x
B.
x
C.
x
D.
x
# 47-68 Matching. Write the letter of the word from the attached sheet that is described by each
definition. You will not use the scantron answer sheet for the remaining questions. (1 pt each)
eacheach)
______47. The point of intersection of the two axes in the coordinate plane.
______48. A number that can be expressed in a/b form
______49. The equation for direct variation.
______50. Which set of numbers is described by {… -3, -2, -1, 0, 1, 2, 3…}
______51. The answer to a subtraction problem.
______52. The set of numbers represented by { 1, 2, 3, 4 …}
______53. The “8” in the expression 86.
______54. An equation in the form Ax + By = C
______55. The set of numbers represented by {0, 1, 2, 3, 4…}
______56. The word that describes the symbol <
______57. The answer to a multiplication problem.
______58. The answer to a division problem.
______59. The “6” in the expression 86.
______60. Two lines which have the same slope
______61. The collection of all output values
______62. An equation in the form y = mx + b
______63. The equation for inverse variation.
______64. The collection of all input values.
______65. A letter used to represent one or more numbers
______66. The word that describes the symbol >
______67. The answer to an addition problem.
______68.
rise
run
#69 – 101 Free response. Complete each problem and write your answer on the
blank provided. Show all work necessary to solve each problem to receive credit.
___________________ 69. Simplify -2(7x − 11) − (2 + 6x)
__________________ 70. Solve for n :
8
7   n5
3
(2 points)
(2 points)
__________________ 71. If y varies directly with x, and y = 24 when x = 6,
What is the constant of variation? (2 points)
72. Graph x > –4 (1 point)
0
__________________ 73. Solve: 10(y + 3) = 6(y – 2) + 10 (2 points)
________________ 74. y varies inversely with x , and y = 4 when x = 6.
Find y when x = 12.
(2 points)
_______________ 75. Solve: 4(x + 7) = 4(x + 8) – 4 (2 points)
_______________ 76. Solve: 9(x – 1) + 15x = 3x + 18(x + 1) (2 points)
_______________ 77. Solve the proportion.
(2 points)
x  3 x 1

5
4
YES
NO
78. Is this a function?
(1 point)
Input
6
0
6
2
Output
–3
0
5
9
_______________ 79. List the numbers that are the domain in the chart above. (1 point)
Using the graph to the right answer questions 80-82. (1 point each)
see graph
___________
80. Graph and label point A with
coordinates (4, −3)
B
___________ 81. What quadrant does point B lie in?
___________ 82. Give the ordered pair for point C.
C
_____________ 83. Write an inequality to model the real life situation below: (1 point)
The product of $15 and the number of club members (M) is less than or equal to 250.
_____________ 84. a) What is the slope of a vertical line? (1/2 point)
_____________
b) What is the slope of a horizontal line? (1/2 point)
_____________ 85. Find the slope of the line that passes through the points (7, 3) and (5, -9)
(2 points)
YES
NO
86. Is (2, −8) a solution to the equation −2y + 4x = –8? (1 point)
87. Graph the equation y = –3x + 2 (1 point)
88. Graph the equation –2x + y = –3 (2 points)
89. Graph the equation: 4x – 3y = 12 (2 points)
_______________ 90. Rewrite in standard form:
y
2x
4
3
(2 points)
_________________ 91. Write an equation in slope-intercept form with m = –5 and b = 3.
(1 point)
_________________ 92. Write the equation of line D
in slope intercept form.
(1 point)
D
________________ 93. Write an equation for the statement below and solve: (2 points)
The larger of two numbers is 15 more than the smaller. Their sum is 31.
Find the larger number and write this on the answer blank. SHOW WORK!
Matching Choices. Each answer will be used once.
A.
y
a
x
B. base
C. difference
D. domain
E. exponent
F. greater than
G. less than
H. natural numbers
J. origin
K. parallel lines
L. y  ax
M. integers
N. product
O. quotient
P. range
Q. rational number
R. slope formula
S. slope intercept form
T. standard form
U. sum
W. variable
X. whole numbers