Algebra I
Semester 1 Review
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. What is the slope of the line represented by the equation 3x + 4y = 15?
A.
3
4
B. 
4
3
C.
4
3
D. 5
38. 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
39. Evaluate f ( x)  5 x  6 when f (4)
A. – 20
40. Simplify:
A. 0
B. 13
C. 14
12  6  4  2
B. 12
C. 16
D. 36
41. Which of the following is the simplified form of
A. -6x − 4y – 10
B. 6x − 4y + 10
42. What is the solution to:
A. x  9
D. 26
A. 8
B. 10
C. 14
D. 12
C. 6x + 4y + 10
D. 26x + 24y + 12
6(x – 5)  24?
B. x  -1
43. 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
44. Which graph represents a function?
A.
x
B.
x
C.
D.
x
x
Matching
A. z-score
______45. The point of intersection of the two axes in the coordinate plane.
B. base
______46. A number that can be expressed in a/b form
C. difference
______47. How a single data point compares to normal data
______48. Which set of numbers is described by {… -3, -2, -1, 0, 1, 2,
3…}
______49. The answer to a subtraction problem.
______50. The set of numbers represented by { 1, 2, 3, 4 …}
______51. The “8” in the expression 86.
D. domain
E. exponent
F. greater than
G. less than
H. natural numbers
______52. An equation in the form Ax + By = C
J. origin
______53. The set of numbers represented by {0, 1, 2, 3, 4…}
K. parallel lines
______54. The word that describes the symbol <
______55. The answer to a multiplication problem.
______56. The answer to a division problem.
L. standard deviation
M. integers
______57. The “6” in the expression 86.
N. product
______58. Two lines which have the same slope
O. quotient
______59. The collection of all output values
P. range
______60. An equation in the form y = mx + b
Q. rational number
______61. Shows how much variation exists from the average
R. slope formula
______62. The collection of all input values.
S. slope intercept form
______63. A letter used to represent one or more numbers
______64. The word that describes the symbol >
T. standard form
U. sum
______65. The answer to an addition problem.
W. variable
______66.
rise
run
X. whole numbers
67. Simplify -2(7x − 11) − (2 + 6x)
68. Solve for n :
8
7   n5
3
69. Graph x > –4
0
70. Solve: 10(y + 3) = 6(y – 2) + 10
71. Solve the for x.
x  3 x 1

5
4
72. Is this a function?
Input
6
0
6
2
Output
–3
0
5
9
Using the graph to the right answer questions 73-74.
B
73. What quadrant does point B lie in?
74. Give the ordered pair for point C.
C
75. Find the slope of the line that passes through the points (7, 3) and (5, -9).
76. Is (2, −8) a solution to the equation −2y + 4x = –8?
77. Graph the equation –2x + y = –3
78. Graph the equation: 4x – 3y = 12
79. Rewrite in standard form:
y
2
x4
3
80. Write the equation of line D in slope intercept form.
D
81. What is the equation of the inequality in the graph shown?