Transcript
Pre Algebra Final Exam Specification Sheet Free Response 1 2 3 4 5
X% of Y = Z Problems Pythagorean Theorem Operations with Binomials Organize and Display Data Dilation
Multiple Choice 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
Properties of Real Numbers Order of Operations Solving Multi-step Equations Solving Equations with the Variable on Both Sides Solving and Graphing Inequalities in One Variable Scientific Notation Solving Two-step Equations Similar Triangles Proportions Combinations/Permutations X% of Y = Z Problems % Applications Simple Interest Functions and Relations Linear Equations - Tables←→Equations x- intercepts and y-intercepts Slope Linear Equations - Equations ←→ Graphs Square Roots Pythagorean Theorem Ordering a Set of Rational Numbers Midpoint Identify and Classify Polygons Classification of Polygons Area of a Plane Figure Area of a Plane Figure Surface Area Volume Organize and Display Data Analyzing Data Measure of Central Tendency Combinations/Permutations Reading and Interpreting Data Displays Combinations/Permutations Operations with binomials Extending Patterns Angle relationships Angle relationships Involving Transversals Sum of the Interior Angles Transformations
Pre-Algebra Practice Final Exam Free Response 1. Write a proportion to model the problem; then show an equation that could solve the problem. Solve. What % of 60 is 12?
2. A homeowner constructed a patio 5 feet wide and 12 feet long. The distance on the diagonal was 14 feet. Determine whether or not the patio has right angles at the corner; support your answer. Include a diagram.
3. Given the monomial 3x and the binomial 2 x − 1 explain how to find the sum. Use mathematical terms in your explanation.
Pre-Algebra Practice Final Exam Free Response
4. A student earned the following scores on her math tests for the quarter: 87, 64, 82, 75, 62, 90 and 80. Display the data in a box-and-whisker plot.
60
5. Dilate
65
75
70
80
85
90
95
ABC using a scale factor of 2. y
5
A
5
y
B x
x
C
-5 -5
5
-5 -5
5
Pre-Alg Practice Final Exam 5. Which number line represents the solution to the inequality 1 + 2x < − 7?
1. Which equation below shows a correct use of the distributive property? A. 2 · (3 + 5) = (2 + 3) · (2 + 5)
A.
B. 2 · (3 + 5) = (2 · 3) + 5 B.
C. 2 · (3 + 5) = 2 · (5 + 3) D. 2 · (3 + 5) = (2 · 3) + (2 · 5)
C. 2. Shelley is applying the order of operations to the following expression. D.
3 − 16 ÷ 2 × 5 × 3 Which part of the expression should Shelley simplify first?
6. Alberta measured a microscopic organism to be 0.000032 centimeter in diameter. What is 0.000032 written in scientific notation?
A. 3 − 16 B. 16 ÷ 2
A. 3.2 × 10−4
C. 2 × 5
B. 3.2 × 104
D. 5 × 3
C. 3.2 × 10−5
3. What is the value of x if 24 − 2( x + 8) = 30?
D. 3.2 × 105
A. −11
7. What value of x makes the equation 1 −4 + x = 8 true? 2
B. −1 C. 1 D. 11
A. 6 B. 8
4. What is the value of x in the following equation? 5x − 13 = 15 + 7x
C. 12 D. 24
A. −14 B. −1 C. 1 D. 14 Copyright © 2008 By Educational Testing Service. All rights reserved.
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Pre-Alg Practice Final Exam 8. Triangle ABC is similar to Triangle DEF below.
What is the length of DF ? A. 7 units B. 13 units C. 16 units D. 20 units 9. The scale used on a map of Alaska indicates that a length of 3 inches represents a distance of 75 miles. What distance is represented by a length of 6 inches on the map?
11. What is 75% of 200? A. 15 B. 50
A. 25 miles
C. 125
B. 37.5 miles
D. 150
C. 150 miles
12. Mrs. Williamson had 18 students in her homeroom at the beginning of the school year and 24 students at the end of the year. What was the approximate percent increase in the number of students in Mrs. Williamson’s homeroom?
D. 470 miles 10. A local delicatessen offers 2 types of bread, 4 types of meat, and 3 types of cheese for their sandwiches. How many different sandwich choices with 1 type of bread, 1 type of meat, and 1 type of cheese could this delicatessen offer?
A. 25% B. 33%
A. 3
C. 57%
B. 9
D. 75%
C. 24 D. 48 Copyright © 2008 By Educational Testing Service. All rights reserved.
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Pre-Alg Practice Final Exam 13. A savings account earns 4.5% simple interest per year. If $650.00 is deposited and no withdrawals or deposits are made during one year, how much interest will be earned after one year?
15. Which equation matches the coordinates given in the table below?
A. $4.50 B. $29.25 C. $54.00 D. $292.50 A. y = 2x 14. Which relation is NOT a function?
B. y = 3x
A.
C. y = x + 4 D. y = x + 6 16. Which set of ordered pairs represents the x-intercept and y-intercept of the graph of y = 2x − 12? A. (6, 0) and (0, 12)
B. {(0, 1), ( − 1, − 1), (2, 4), (1, − 1)}
B. (6, 0) and (0, − 12)
C.
C. ( − 6, 0) and (0, 12) D. ( − 6, 0) and (0, − 12)
D.
17. What is the slope of the line that contains points ( − 3, − 5) and (2, 7)? A. −2 B. −
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3
1 2
C.
5 12
D.
12 5
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Pre-Alg Practice Final Exam 18. Which graph below represents the equation y =
3 x − 4? 2
A.
C.
B.
D.
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Pre-Alg Practice Final Exam 19. Which fraction is equivalent to
22. What are the coordinates of the midpoint of the line segment with endpoints (7, 2) and (3, 4)?
64 ? 9
A.
8 9
B.
8 3
B. (4, 2)
C.
32 9
D. (4, − 2)
D.
32 3
A. (2, 1) C. (5, 3)
23. Which of the following BEST describes the shape of the tile shown below?
20. A right triangle is shown below.
A. hexagon
How long is x in inches?
B. octagon
A. 1
C. pentagon
B. 5
D. trapezoid
C. 25
24. Maria knows that a certain figure is a quadrilateral with all angles equal. Maria can conclude that
D. 313 21. Which correctly orders the numbers from largest to smallest?
A. the figure is a rhombus. B. the figure is a rectangle.
2 2 1 A. > > > 9 2 3 4 9>
2 1 2 > > 2 3 4
C. 9 >
2 2 1 > > 3 2 4
B.
D.
C. the figure is a parallelogram. D. the figure is a triangle.
2 2 1 > > 9> 2 3 4
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Pre-Alg Practice Final Exam 25. Nidia cut a rectangle into 2 pieces as shown below.
She put the pieces together to form a parallelogram. What is the area of the parallelogram? A. 32 square feet B. 64 square feet C. 144 square feet D. 240 square feet 26. The radius of a circle is 3 centimeters. Which of the following BEST represents the area of the circle in square centimeters?
27. The figure below represents a rectangular prism with square bases 10 centimeters long on each side.
A. 3π B. 6π C. 9π D. 12π What is the surface area of the prism? A. 160 square centimeters B. 180 square centimeters C. 300 square centimeters D. 320 square centimeters
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Pre-Alg Practice Final Exam 28. What is the volume, in cubic centimeters, of the cylinder below?
A. 40π B. 80π C. 160π D. 640π
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Pre-Alg Practice Final Exam 29. The data shows the number of minutes students in Mr. Hill’s health class spent exercising last week.
Which stem-and-leaf plot accurately displays the data? A.
C.
B.
D.
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Pre-Alg Practice Final Exam 30. The distribution of the ages of the performers in a play is shown in the plot below.
33. The Venn diagram below represents the number of households serviced by Salvo Cable Network.
Which is true according to the plot? A. The mean age is 30. B. The median age is 30. C. The mean age is 40. D. The median age is 40. 31. Todd took a survey to find out how many hours of television his friends watched per day. The results are below. 8, 1, 0, 2, 7, 1, 2, 3, 9, 6, 0, 1, 7, 1, 9 How many households does Salvo Cable Network service with both Digital Music and the Sports Network?
What is the median time Todd’s friends watch television per day? A. 1
A. 12
B. 2
B. 45
C. 3
C. 57
D. 4
D. 167 34. Mrs. Kraft gives her 7th grade math class ten review questions. She will select four of the review questions for a quiz. How many different quizzes are possible?
32. Ten horses are entered in a race. How many possible ways could 3 out of the 10 horses, place 1st, 2nd, and 3rd? A. 30
A. 24
B. 120
B. 40
C. 720
C. 210
D. 1000
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D. 10 · 9 · 8 · 7
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Pre-Alg Practice Final Exam 35. What is (5x − 4) − ( x + 6)?
38. In the figure below, line m and line n are parallel lines intersected by line t.
A. 6x + 2 B. 6x − 10 C. 4x + 2 D. 4x − 10 36. If the increasing pattern shown below continues, what would be the next three numbers in the pattern? 13, 17, 21, 25, . . . Which pair of angles is congruent? A. 27, 31, 35
A. ∠ 1 and ∠ 6
B. 28, 30, 31
B. ∠ 2 and ∠ 8
C. 29, 33, 37
C. ∠ 3 and ∠ 4
D. 29, 34, 40
D. ∠ 4 and ∠ 7
37. Two angles, ∠ 1 and ∠ 2, are supplementary. The measure of ∠ 1 is 38°. What is the measure of ∠ 2?
39. What is the value of x in the figure below?
A. 38° B. 52° C. 128° D. 142°
A. 31° B. 77° C. 88° D. 180°
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Pre-Alg Practice Final Exam 40. M N has endpoints at M ( − 3, 2) and N ( − 1, 7). If M N is reflected over the y−axis, what will the coordinates of the endpoints of the image M 'N ' be ?
A. M '(3, 2) N'(5, 7) B. M '( − 3, − 2) N'( − 1, 3) C. M '( − 3, − 2) N'( − 1, − 7) D. M '(3, 2) N'(1, 7)
Copyright © 2008 By Educational Testing Service. All rights reserved.
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Pre-Algebra Practice Final Exam Answer Key
1
D
21
C
2
B
22
C
3
A
23
B
4
A
24
B
5
D
25
D
6
C
26
C
7
D
27
D
8
C
28
C
9
C
29
D
10
C
30
D
11
D
31
B
12
B
32
C
13
B
33
C
14
C
34
C
15
B
35
D
16
B
36
C
17
D
37
D
18
D
38
B
19
B
39
B
20
B
40
D
