SEMESTER 1 EXAM REVIEW PACKET
Exam Topics
Vocabulary:
- Properties
- Real Number System
- Domain and Range
- Functions (be able to determine if a table and a graph are functions)
Chapter 1:
- Order of Operations
- Translating verbal sentences
- Evaluating expressions
- Statistics
Chapter 2:
- +/-/x/÷ Integers
- Simplifying using dist. prop
- Matrices
Chapter 3:
- Solving equations (Stay and Go!)
- Solving proportions
- Formulas (rearranging for a given variable)
Chapter 4:
- Graphing using a table of values, x and y intercepts, and slope-intercept (m and b)
- Finding slope given two points, a graph and an equation
- Getting an equation into slope-intercept form (y = form)
-Direct Variation
Chapter 5:
- Writing the equation of a line given a) slope and y intercept, b) slope and one point, c) two points,
d) a graph
- Writing an equation in standard form
- Parallel and perpendicular lines
Chapter 6:
-Solving and graphing inequalities
-Graphing compound inequalities
VOCABULARY AND SUCH
Match each statement to the corresponding property.
1. If 3 = y, then y = 3A. Associative Property
2. 2 + 0 = 2B. Commutative Property
3. a = aC. Distributive Property
4. 5(4 + 7x) = 5(7x + 4)D. Identity Property
5. If x = y and y = z + 2, then x = z + 2E. Reflexive Property
6. x(9 + 4) = 9x + 4xF. Symmetric Property
7. (3x + 7y) + 2y = 3x + (7y + 2y)G. Transitive Property
Write an algebraic expression, equation or inequality for each statement.
8. The sum of the cube of a number and 12.
9. Fourteen less than a number is at least twenty.
10. Three times the quantity of eight and a number is sixty.
11. Nine more than the product of three and a number.
12. Twice the difference of a number and seven is greater than five.
Determine if each number is Irrational, Rational, Integer, Whole and/or Natural. List all that apply.
__
13. -214. π15. 9316. 017. √ 5
Domain, Range and Inverse
Domain: x values, input
Range: y values, output
Inverse: Switch the domain and range
How can you tell if it’s a function: The x values are all different if the relation is a function
Decide if each relation is a function. Then list the domain, range and inverse.
18. {(7, 5) (8, 5) (9, 5) (10, 5)} 19 . x y
-3 2
-2 9
-116
0 23
20.What is the domain of this function?
What is the range of this function?
Find the domain:
21. y = -222 . y = __8__
x – 7 x2 - 9
CHAPTER 1
Evaluate the expressions.
23. 32 – 5(2 + 1) + 424. 36 ÷ 4 • 3
25. w + n(x – y) if w= 4 n = 826. 3xy – y² if x = 6 and y = -5
x = 5 y = 2
27. 6 + 2² 28. [10 + (5² • 2)] ÷6
17 – 6 • 2
29. 24 – 3a³ if a = 230. [(b – a)³ – (a + b)²]³ if a = 1
b = 4
Use the given stem-and-leaf plot to answer questions 31 – 33.
31. Which of the following has the greatest value: mean, median, mode, or range?
32. Draw a box and whisker plot to display this information.
33. Determine the interquartile range of the given data.
34. What is the standard deviation of the following information? 62, 63, 66, 61, 67, 70, 71, 49, 55, 65, 67, 58, 50.
CHAPTER 2
Use the distribute property to simplify.
35. 2(x² + 4x – 5)36. -3x(2x + 4)
37. 4(2x + 9) + 5(x – 6)38. 7y(2x + 6) – 2y(3x + 4)
39. –(3x + 2y – 5z)40. 6(5 – 2y) – 2(7 + 4y)
Find the sum or difference.
41. -9 + 3 + -442. 45 – (-7)
43. 15 – 30 + -2044. 14 + (-2) – 8
Find the product or quotient.
45. -18 ÷ 946. (-2)(-8)(-3)
47. (-1)(-6)(5)48. -144 ÷ -12
CHAPTER 3
Solve each equation. Leave answers as fractions unless decimals are given in the problem!
49. x – (-3) = 1250. 3(y – 2) = 3y – 6
51. 3x = -3652. 5x + 7 – 2x = 22
4
53. 7 – (2x + 3) = ¾(4x – 8)54. 2x – 9 = 13
55. 4.2(3.1 + 6.2x) = 17.2x – 3.956. 5(2 –x) + 7x = -3(x + 5)
57. 2(y – 8) = 3y58. 3 + 4(p + 2) = 2p + 3(p + 4)
59. -13x + 20 = - 1960. 4x + 15 = -x
Solve for the indicated variable.
61. A = ½h(b1 + b2) Solve for b162. I = Prt Solve for t
63. F = 9 C + 32 Solve for C64. V = lwh Solve for h
5
Solve each word problem. Make sure you show your equation!
65. Find 4 consecutive integers whose sum is -202.
66. Seven times the quantity of three times a number and four is the same as four times the quantity of five times the same number and thirteen. Find the number.
67. Andrew is five more than two times Matt’s age. The sum of their ages is 14. Find both of their ages.
Solve each proportion.
68. x = 969. 24 = 4
x– 12 5 5z + 4 z - 1
CHAPTER 4
70. Name the quadrant in which each point is located.
A. (-3, -8)B. (-6, 2)C. (1, 2)D. (3, -5)
71. Which equation matches the line graphed at right?
A. y = -3x + 1
B. y = 3x + 1
C. y = ⅓x +1
D. y = -⅓x + 1
72. What are the x and y intercepts of the graph?
73. Graph the line y = 2x -1 using m and b.
74. Graph the line 3x – 4y = -12 using x and y intercepts.
Find the slope.
75. Find the slope of the line graphed in # 74.76. (8,3) (-3, -2)
77. (0, -1) (-5, 6)78. (-1, 2) (-3, 4)
Determine whether each relation is a function.
79.80. 81. {(-3,2)(-4,2)(-5,2)}
Use f(x) = 2x + 5 and g(x) = 3x² + 2 to evaluate each expression.
82. f(-1)83. g(-2)84. g(0)
Which graph represents a direct variation? Name the constant of variation for that graph.
85. 86.
87. 88.
89. If x and y vary directly and x = 2 when y = -14, find x when y = -28.
CHAPTER 5
Write the equation of the line using the information given.
90. slope = -⅝91. slope = 3
y intercept = (0, -2) y intercept = -4
92. m = -293. m = ¼
(1, -3) (-3, -5)
94. (1, -3) (4, 2)95. (-3, -2) (1, 5)
96. m = 497. m = 3
(5, 1) (0, 6)
98.99.
Write each equation in standard form.
100. y = ½x + 3101. y = 2x – 4
Write an equation in standard form of the line satisfying the given conditions.
102. m = -1103. m = ¾
b = 6 (5, 2)
104. Write the equation of a line parallel to the graph of y = 3x – 5 and passing through the point (-1, 4).
105. Write the equation of a line perpendicular to the graph of y – 4x = 2 and passing through the point (2, -6)
CHAPTER 6
Solve and graph each compound inequality.
106. 4x – 8 ≥ 2(x + 4)107. 10 > -3x + 1
108. Graph: 2x + 4y -8109. Graph: y > -1/4x + 2
110. Graph: x 3111. Graph: y 2/3x - 5