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Due Dates:
Algebra I
First Semester Exam Review Questions
Name _________________
Show work on a separate sheet of paper if you cannot fit it onto the review sheet.
1. Find the value of 16 + 12x – x3 when x = 2
2. Evaluate:
3. Evaluate: 12 + 48  6
4. Evaluate: 5  (42 + 7).
5. Evaluate: ––16
6. Find the value of 4y2  2 + 16 when y = 3.
7. Simplify the expression 11x – 2y + 5y – 3x
8. Simplify: 11y + 3(7 – y)
9. Simplify –4(2x + 3) + 5x
10. Simplify 2(3x – 4) – 2(x – 4)
11. Is x = 5 a solution of the equation 2x – 5 = 9 + x? Yes or No?
12. Which equation does NOT have a solution of w = 5?
A. 3w – 4 = 11
C. 12 + 2w = 22
B. 10w – 22 = 38
D. 17 = 22 – w
13. Is (–1, 9) a solution to the equation 3y – 3x = 30? Yes or No?
– (–6) – (–9) + –4
Circle each set of numbers the given number is included in.
(Look at notes from ring of reals)
14.
–3
Whole
Real
Rational
Integer
Natural
Irrational
15.
1
2
Whole
Real
Rational
Integer
Natural
Irrational
16.
0
Whole
Real
Rational
Integer
Natural
Irrational
17.
13
Whole
Real
Rational
Integer
Natural
Irrational
Solve each equation for questions 18 – 29
x
 19
4
18. –6 = 3 + x
19.
20. 3x – 5 – 2x = 3
21.
22. 3(x – 7) = x – 4 + 2x
23. 4(3 – x) + 5x = –3(x + 8)
24. 5x – 2(x + 4) = 4 (5 – x)
25. 2(r – 5) + 3 = 5(r + 4) – 19
26. 3(y + 2) + 7 = 4(y – 1) + 4
27. 2(x + 4) + 3x = 5(x + 1) + 3
2
x  4  12
3
28.
x2 3

10
6
30. A =
1
bh
2
29.
(proportion … cross multiply)
2x  5 x

9
3
Solve for h.
31. Solve the equation 2L + 2W = P for L
32. Rewrite in function form: 2x + 4y = 20
(this means solve for y)
33. Write an inequality to model the real life situation describe below (DO NOT SOLVE!):
The product of $35 and the number of club members (M) is less than 650.
Write an equation and solve for questions 34 & 35.
34. Three less than twice a number is seventeen.
35. The sum of five and three times a number is 20.
For questions 36 & 37, write let statements, an equation and solve. Write answer in a sentence.
36. The smaller of two numbers is 14 less than the larger and their sum is 64.
Find the smaller number.
37.
The sum of three consecutive even integers is 66. What is the larger integer?
36a) y varies directly to x. Write an equation that relates x & y when x = 4 and y = 12.
b) y varies inversely with x. Write an equation that relates x & y when x = 4 and y = 12.
37. The graph of a direct variation ALWAYS passes through the ________________?
Which property of real numbers is demonstrated in each problem below?
38. 3(x + 2) = 3x + 6
39. a + b + c = b + a + c
40. a + (b + c) = (a + b) + c?
41. Evaluate the following using the function f(x) = 10x – 2.
a.
f(3) =
b. f(-2) =
c. f(0) =
Given f(x) = 5x – 2 complete the following:
____________ 42. Find f(3)
___________ 43. Find x if f(x) = 18
44. A. What is the missing value for the function shown in the chart?
B. Write an equation to describe the function.
Input
3
5
Output
–2
0
7
9
?
4
45. Which does NOT represent a function?
A. (1, 4) , (6, 5) , (4, 2) , (5, 0)
C. (1, 4) , (6, 3) , (3, 2) , (7, 1)
B. (1, 2) , (3, 5) , (4, 2) , (5, 0)
D. (1, 2) , (3, 5) , (1, 6) , (4, 7)
46. Is this a function? Yes or No?
Input
7
5
Output
–2
1
4
7
2
3
47. Is this graph a function?
Write either < , >, or = that would correctly compare the given numbers.
48.
– 3 ______ – 4
49.
3 ______ 4
50.
2
______ 2
Solve and graph each inequality. (remember to switch the inequality when you DPE or MPR by a negative)
51.
x <4
52.
3x – 6 > 3
0
53.
–2x + 4 < 16
0
54.
2x + 7 > –2x – 1
0
0
55.
–3x + 6 < 4x – 8
56.
–22 < 4x – 10
0
0
Using the graph to the right answer questions 57-61.
57. Graph point A with coordinates (–4, –3).
58. What quadrant does point B lie in?
59. Name the ordered pair for point C.
60. Name the ordered pair for point D.
61. What is the location of points C AND D? (Two answers)
C
D
B 
62. Find the slope given the points (5, 4) and (3, 4).
63. Find the slope of the line that passes through the points (6, –3) and (4, 6)?
64. Find the slope of the line passing through the points (7, –6) and (7, 4).
65. Find the slope of the line that passes through the points (6, –3) and (9, 4)?
66. What is the slope AND y-intercept of the graph of 3x + 2y = 14? (Two answers)
67. What is the slope of any line parallel to the line y 
68. What is the equation of line A?
A
69. What is the slope of line A?
70. What is the equation of line B?
71. What is the slope of line B?
72. What is the slope of line D?
73. What is the x-intercept of line D?
74. What is the y-intercept of line D?
75. Use a t-chart (table) to graph the equation y = –3x + 3
x
y
5
x6
3
B
D
76. Use x & y intercepts to graph the equation y – 2x = 4
77. Use slope-intercept form to graph the equation 3x – 4y = 8
78. Rewrite in standard form: y = –5x + 6
79. Rewrite y =
2
x – 3 into standard form.
5
80. Write an equation in slope intercept form of a line with slope of 2 and has a y-intercept of –6.
81. Write an equation in standard form of the line with m = –3 and b = 7.
(since you have the y intercept and slope, start with slope intercept equation first, then rewrite in standard form)
82. Write an equation in slope intercept form for line D drawn below.
D
(find the y intercept and count slope)
A
What is the equation of line A written in:
83. slope intercept form:
84. rewrite into standard form:
There will be a matching section on the exam for vocabulary. These are the words that
need to be studied.
absolute value
base
difference
domain
exponent
greater than
less than
natural numbers
origin
parallel lines
perpendicular lines
point slope form
product
quotient
range
rational number
slope formula
slope intercept form
standard form
sum
variable
whole numbers
The semester one Algebra I Exam topics:
Chapter 1: All Lessons
Chapter 2 : Lessons 2.1 - 2.6
Chapter 3: All Lessons (Skip 3.7)
Chapter 4: All Lessons
Chapter 5: Lessons 5.1, 5.2, 5.4
Chapter 6: Lessons 6.1 - 6.3
Chapter 12: Lesson 12.1