SAMPLE EXAM
SAMPLE EXAM
Double Block Algebra
Name _____________________________________
Block __________
Directions: True or False?? If False explain why.
1. ________ The directions for this test tell you to just answer True or False.
2. ________ When combining like terms, if signs are the same you subtract.
3. ________ To multiply fractions you must find a common denominator.
4. ________ Absolute value is the distance from zero.
5. ________ An ordered pair is made up of the y-value, followed by the x-value: (y, x).
Directions: Multiple Choice. Choose the BEST option.
6. The directions tell you that there is(are) ____ choice(s) for each multiple choice
question.
a. 1
b. 2
c. 3
d. multiple
7. Identify the property: 7 3 2 7 2 3
a. Associative
b. Commutative c. Distributive
d. Multiplicative
8. Which is an example of the Associative Property?
a. 3 8 2a 3 2a 8
b. 3 8 2a 3 8 2a
c. 3 8 2a 11 2a
d. 3 8 2a 3 8 2a
9. Identify the property: 4 x 8 4 x 32
a. Associative
b. Commutative c. Distributive
d. Substitution
10. If 5 = 3 + 2, then 3 + 2 = 5 is an example of the _____ property
a. Additive
b. Commutative c. Symmetric
d. Transitive
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Directions: Multiple Choice. Choose the BEST option.
11. Twice some number increased by 4 is written mathematically as:
a. x2 + 4
b. x2(4)
c. 2x(4)
d. 2x + 4
e. None of these
c. -2x + 6
d. -2
e. None of these
12. If f(x) = 3x + 6, then f(-2) = _____?
a. 12
13.
b. 0
What is the slope of the graphed line?
a.
3
2
c.
3
2
b.
2
3
d.
2
3
14. What is the slope of a line that goes through the points (3, -2) and (-9, 2)
1
2
3
a.
b.
c. 3
d.
e. None of these
3
3
2
15. A stereo normally sells for $125.00. A sale takes 15% off. What is the sale price?
a. $18.75
b. $143.75
c. $106.25
Directions: Evaluate if a = 6, b = -2, c = -1 and d =
16.
b c a
17. ac ab
d. $124.85
e. None of these
1
2
18. 6d
a
b
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Directions: Short Answer.
19. If the signs of 2 numbers are the same do you Add or Subtract?
20. When adding and subtracting, how do you know what the sign of the answer is?
21. When do you need to find a common denominator?
22. When you find a common denominator, does the numerator (top number)
change before you add/subtract?
23. How are fractions divided?
Directions: Simplify Completely. Do NOT use decimals. SHOW ALL WORK!!
24.
2 7
25.
93 39
27. 3 6
28. 5 7
5 6 1
30.
2 5 3
31.
33.
5 3
2 2
34.
1 3
2 2
3 5
5 6
26.
57
29.
6 1
5 3
12
32. 4
7
35.
3 7
8 12
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Directions: Simplify Completely. Do NOT use decimals. SHOW ALL WORK!!
36. 2 6 8 4
38.
2 5 8 18 3
37. 30 22 5 5
39.
9 3 42
3 2 22
Directions: Simplify Completely. If not possible write: I.S.F. (In Simplest Form)
40. 2x 5 4 x 3
41. 3b 1 2b 5
42. 11a 2 11a 2 12a
43. 3 x 2y 2y
Directions: Solve for the variable. You must use Algebra. SHOW ALL WORK!!
44. 2 x 3 11
46.
x
3 4
6
48. 8 x 7 x 2 1
45. 21 5 x 36
47.
x 3
4
6
49. 5 x 3 7 x 5
50.
x
4 1
6
51.
3 x 2x
5
4
3
52.
1x
2x
4
5
5
53.
3 x 2 1x
5
4
4
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Directions: Use the data below to answer questions #56 – 57
Age
Group
1-10
11-20
21-30
31-40
41-50
Frequency Cumulative
Frequency
8
9
5
12
8
54. Make a frequency graph of the data
55. Fill in the cumulative frequency column
Directions: Use the data set below to answer questions #58 – 67
{16, 14, 5, 14, 13, 6, 2, 4, 14, 16, 6}
56. Range
57. Mean
58. Mode
59. Median
60. Upper Quartile
61. Lower Quartile
62. Low
63. High
64. Using the information above, create a box-and-whisker plot of the data.
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Directions: 1Define the variable, 2write an ALGEBRAIC equation, & 3solve ALGEBRAICALLY!!
65. Mrs. Denzin ordered 5 pair of shoes on-line. Each pair of shoes cost the same
amount. If Mrs. Denzin paid a total of $170 for the 5 pair of shoes plus $10 in
shipping, how much did each pair cost?
Definition:
Equation:
Answer: ______________
66. Four consecutive odd numbers have a sum of 96. Find the numbers.
Definitions:
Equation:
Answers: ______________
Directions: Solve using one of the following Algebraic formulas.
x
y
a. % Proportion
b. I = prt
c. O O % New
d. 1 1
x2 y 2
67. 5% of 40 is what?
e.
x1 y 2
x2 y 1
68. Jamie needs to earn $500 in interest in order to buy a car. If she puts $2,000 into
an account that earns 8% interest, how long will it take for her to earn the $500 she
needs?
69. In kick boxing, it is found that the force needed to break a board varies inversely
with the length of the board. If it takes 5 pounds of pressure to break a board 2
feet long, how many pounds of pressure will it take to break a board that is 6 feet
long?
70. A pitcher has given up 12 runs in 20 innings. If it is assumed that the number of
runs varies directly as the number of innings, how many runs would he give up in 9
innings?
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Directions: Use the mapping below to answer the following questions
71. State the Relation
72. State the Inverse
73. State the Domain
74. State the Range
3
2
5
1
0
75. Is the Relation a function? Why or why not?
Directions: If f x 2x 3 find the following:
76. f(4)
77. f(-4)
78. 2[f(1)]
79.
1
f 3
3
Directions: Find the equation of the line described below
80. Find the equation of a line with a slope of -½, and a y-intercept of 8.
81. Find the equation of a line with a slope of 3 that passes through the point (-8, 6).
82. Find the equation of a line that passes through the points (4, 1) and (2, 0).
83. Find the equation of a line that passes through the points (4, -5) and (6, -9).
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Directions: Identify the slope, y-int, and x-int, then graph the line using any method
84. x + y = 2
85. 2x – 3y = 6
Directions: Use SohCahToa to find the missing measurement. Round to the nearest tenth.
86.
87.
88.
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SAMPLE EXAM ANSWER KEY
Double Block Algebra
1. False
23. Keep
45. x = -3
67. % Proportion
IS = 2
24. 5
46. x = 6
68. I = prt
t = 3.125 years
25. -54
47. x = 21
69. Indirect Variation
x = 1.67 lbs
26. 2
48. x = -1
70. Direct Variation
x = 5.4 runs
27. 9
49. x = 5
71. {(3,5)(2,5)(1,5)(0,5)}
28. -12
50. x = 18
72. {(5,3)(5,2)(5,1)(5,0)}
51. x = 60
73. {3, 2, 1, 0}
52. x = -20
74. {5}
75. Yes, b/c each ”x” has one
“y” partner
If false, explain
why
2. False
Same signs = Add
Change
Flip
3. False
Common denom
for +/-‘ing fracs
4. True
5. False
x, then y (x, y)
6. A
2
7. B
29.
8. D
30. -1
9. C
31.
10. C
32.
11. D
33. -4
5
1
3
3
7
7
53. x = -11
54.
- See Back -
76. 5
55.
- See Back -
77. -11
12. B
34.
13. C
35.
14. A
36. 14
58. 14
15. C
37. 36
59. 13
16. -18
38. 12
60. 14
17. 6
39.
18. 0
19. Add
20. Sign of Larger
30
5
24
11
56. 14
78. -2
57. 10
79. 1
1
80. y x 8
2
81. y 3 x 30
1
82. y x 1
2
61. 5
83. y 2 x 3
40. 6x + 8
41. 5b – 6
42. 12a
84.
- See Back 85.
- See Back 86. x = 6.8 yd
21. When +/-‘ing
Fracs
62. 2
63. 16
64.
- See Back 65. Def: x = 1 pair of shoes
43. 3x + 4y
87. x = 8.2 meters
22. Yes
44. x = 4
5x = 5 pair of shoes
Equ: 5x + 10 = 170
Ans: x = $32 each
66. Def: x = 1st x+2=2nd,
x+4=3rd, x+6=4th
Equ: 4x + 12 = 96
Ans: x = 21, x+1=23,
x+2=25, x+3=27
13
88. x = 53.1o
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54.
Age
Group
1-10
11-20
21-30
31-40
41-50
55.
Frequency Cumulative
Frequency
8
8
17
9
22
5
34
12
42
8
64.
y
10
84. y = –x + 2
m = –1
b=2
b
2
m
8
6
4
2
-10 -8 -6 -4 -2
2
4
6
8 10 x
2
4
6
8 10 x
-2
-4
-6
-8
-10
y
2
x 2
3
2
m=
3
b = –2
b
3
m
85. y
10
8
6
4
2
-10 -8 -6 -4 -2
-2
-4
-6
-8
-10
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TIPS FOR SEMESTER I EXAM
Double Block Algebra
REMEMBER: You can pass this exam. Take your time and use your brains. There are a lot
of rules to remember, but if you remember the following, you’ll do fine.
The Properties of Algebra
Order of Operations - PEMDASDB
Simplify expressions inside the Parenthesis
Evaluate all Exponents
Do all Multiplication & Division left to right
Do all Addition & Subtraction left to right
Simplify the Division Bar
Additive [a + 0 = a]
Associative [x+(y+z) = (x+y)+z]
Commutative [x + y = y + x]
Distributive [3(x + y) = 3x + 3y]
Multiplicative [a • 1 = a]
Reflexive [x = x]
Substitution [replace/simplify]
Symmetric [x = y SO y = x]
Transitive [3 “=” signs]
Zero [a • 0 = 0]
+/–‘ing Fractions
1. Find the Common Denominator
2. Multiply numerators by # to get
common denominator
3. Add new numerators
4. Keep Common Denominator
*/÷‘ing Fractions
1. Reduce any numerator with any
denominator
2. Multiply straight across
3. Reduce if possible
Leave answers in fraction form!!
Solving Equations & Inequalities
1. Get rid of any parenthesis by distributing
2. Get rid of any division bars by multiplying both sides by denominator
3. “Pack the boxes” – Before moving, combine all like terms on each side of “=” sign
4. Get variables together by moving them all to one side by adding/subtracting
5. Get numbers together by moving them all to the other side by adding/subtracting
6. Get the variable all alone by multiplying/dividing by the coefficient of “x”
Linear Equations & Inequalities
Slope:
a. Count
b. m
Point-Slope: (y – y1) = m(x – x1)
up / down
over
y1 y 2
x1 x2
1. (x1, y1) is an ordered pair
2. m is slope
3. x & y are the variables.
Slope Intercept: y = mx + b
1.
2.
3.
m = slope
b = y-intercept
b
= x-intercept
m
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