pre algebra final exam specification sheet free response...

Pre Algebra Final Exam Specification Sheet

Free Response 1 X% of Y = Z Problems 2 Pythagorean Theorem 3 Operations with Binomials 4 Organize and Display Data 5 Dilation Multiple Choice 1 Properties of Real Numbers 2 Order of Operations 3 Solving Multi-step Equations 4 Solving Equations with the Variable on Both Sides 5 Solving and Graphing Inequalities in One Variable 6 Scientific Notation 7 Solving Two-step Equations 8 Similar Triangles 9 Proportions 10 Combinations/Permutations 11 X% of Y = Z Problems 12 % Applications 13 Simple Interest 14 Functions and Relations 15 Linear Equations - Tables←→Equations 16 x- intercepts and y-intercepts 17 Slope 18 Linear Equations - Equations ←→ Graphs 19 Square Roots 20 Pythagorean Theorem 21 Ordering a Set of Rational Numbers 22 Midpoint 23 Identify and Classify Polygons 24 Classification of Polygons 25 Area of a Plane Figure 26 Area of a Plane Figure 27 Surface Area 28 Volume 29 Organize and Display Data 30 Analyzing Data 31 Measure of Central Tendency 32 Combinations/Permutations 33 Reading and Interpreting Data Displays 34 Combinations/Permutations 35 Operations with binomials 36 Extending Patterns 37 Angle relationships 38 Angle relationships Involving Transversals 39 Sum of the Interior Angles 40 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 1x − 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. 5. Dilate ABC using a scale factor of 2.

y

x

5

5

-5-5

A

C

B

y

x

5

5

-5-5

60 65 70 75 80 85 90 95

1. Which equation below shows a correct use ofthe distributive property?

A. 2 · (3 + 5) = (2 + 3) · (2 + 5)

B. 2 · (3 + 5) = (2 · 3) + 5

C. 2 · (3 + 5) = 2 · (5 + 3)

D. 2 · (3 + 5) = (2 · 3) + (2 · 5)

2. Shelley is applying the order of operations tothe following expression.

3 − 16 ÷ 2 × 5 × 3

Which part of the expression should Shelleysimplify first?

A. 3 − 16

B. 16 ÷ 2

C. 2 × 5

D. 5 × 3

3. What is the value of x if 24 − 2(x + 8) = 30?

A. −11

B. −1

C. 1

D. 11

4. What is the value of x in the followingequation?

5x − 13 = 15 + 7x

A. −14

B. −1

C. 1

D. 14

5. Which number line represents the solution tothe inequality 1 + 2x < − 7?

A.

B.

C.

D.

6. Alberta measured a microscopic organism tobe 0.000032 centimeter in diameter. What is0.000032 written in scientific notation?

A. 3.2 × 10−4

B. 3.2 × 104

C. 3.2 × 10−5

D. 3.2 × 105

7. What value of x makes the equation

−4 + 12 x = 8 true?

A. 6

B. 8

C. 12

D. 24

Pre-Alg Practice Final Exam

Copyright © 2008By Educational Testing Service. All rights reserved.

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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 indicatesthat a length of 3 inches represents a distanceof 75 miles. What distance is represented by alength of 6 inches on the map?

A. 25 miles

B. 37.5 miles

C. 150 miles

D. 470 miles

10. A local delicatessen offers 2 types of bread, 4types of meat, and 3 types of cheese for theirsandwiches. How many different sandwichchoices with 1 type of bread, 1 type of meat,and 1 type of cheese could this delicatessenoffer?

A. 3

B. 9

C. 24

D. 48

11. What is 75% of 200?

A. 15

B. 50

C. 125

D. 150

12. Mrs. Williamson had 18 students in herhomeroom at the beginning of the school yearand 24 students at the end of the year. Whatwas the approximate percent increase in thenumber of students in Mrs. Williamson’shomeroom?

A. 25%

B. 33%

C. 57%

D. 75%



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13. A savings account earns 4.5% simple interestper year. If $650.00 is deposited and nowithdrawals or deposits are made during oneyear, how much interest will be earned afterone year?

A. $4.50

B. $29.25

C. $54.00

D. $292.50

14. Which relation is NOT a function?

A.

B. {(0, 1), ( − 1, − 1), (2, 4), (1, − 1)}

C.

D.

15. Which equation matches the coordinatesgiven in the table below?

A. y = 2x

B. y = 3x

C. y = x + 4

D. y = x + 6

16. Which set of ordered pairs represents thex-intercept and y-intercept of the graph ofy = 2x − 12?

A. (6, 0) and (0, 12)

B. (6, 0) and (0, − 12)

C. ( − 6, 0) and (0, 12)

D. ( − 6, 0) and (0, − 12)

17. What is the slope of the line that containspoints ( − 3, − 5) and (2, 7)?

A. −2

B. − 12

C. 512

D. 125



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18. Which graph below represents the equation y = 32 x − 4?

A. C.

B. D.



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19. Which fraction is equivalent to 649 ?

A. 89

B. 83

C. 329

D. 323

20. A right triangle is shown below.

How long is x in inches?

A. 1

B. 5

C. 25

D. 313

21. Which correctly orders the numbers fromlargest to smallest?

A. 12 > 2

3 > 24

> 9

B. 9 > 24

> 12 > 2

3

C. 9 > 24

> 23 > 1

2

D. 12 > 2

4> 9 > 2

3

22. What are the coordinates of the midpoint ofthe line segment with endpoints (7, 2) and(3, 4)?

A. (2, 1)

B. (4, 2)

C. (5, 3)

D. (4, − 2)

23. Which of the following BEST describes theshape of the tile shown below?

A. hexagon

B. octagon

C. pentagon

D. trapezoid

24. Maria knows that a certain figure is aquadrilateral with all angles equal. Maria canconclude that

A. the figure is a rhombus.

B. the figure is a rectangle.

C. the figure is a parallelogram.

D. the figure is a triangle.



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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. Whichof the following BEST represents the area ofthe circle in square centimeters?

A. 3π

B. 6π

C. 9π

D. 12π

27. The figure below represents a rectangularprism with square bases 10 centimeters longon each side.

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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28. What is the volume, in cubic centimeters, ofthe cylinder below?

A. 40π

B. 80π

C. 160π

D. 640π



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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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30. The distribution of the ages of the performersin a play is shown in the plot below.

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 manyhours of television his friends watched perday. The results are below.

8, 1, 0, 2, 7, 1, 2, 3, 9, 6, 0, 1, 7, 1, 9

What is the median time Todd’s friends watch television per day?

A. 1

B. 2

C. 3

D. 4

32. Ten horses are entered in a race. How manypossible ways could 3 out of the 10 horses,place 1st, 2nd, and 3rd?

A. 30

B. 120

C. 720

D. 1000

33. The Venn diagram below represents thenumber of households serviced by SalvoCable Network.

How many households does Salvo CableNetwork service with both Digital Music andthe Sports Network?

A. 12

B. 45

C. 57

D. 167

34. Mrs. Kraft gives her 7th grade math class tenreview questions. She will select four of thereview questions for a quiz. How manydifferent quizzes are possible?

A. 24

B. 40

C. 210

D. 10 · 9 · 8 · 7



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35. What is (5x − 4) − (x + 6)?

A. 6x + 2

B. 6x − 10

C. 4x + 2

D. 4x − 10

36. If the increasing pattern shown belowcontinues, what would be the next threenumbers in the pattern?

13, 17, 21, 25, . . .

A. 27, 31, 35

B. 28, 30, 31

C. 29, 33, 37

D. 29, 34, 40

37. Two angles, ∠ 1 and ∠ 2, are supplementary.The measure of ∠ 1 is 38°. What is themeasure of ∠ 2?

A. 38°

B. 52°

C. 128°

D. 142°

38. In the figure below, line m and line n areparallel lines intersected by line t.

Which pair of angles is congruent?

A. ∠ 1 and ∠ 6

B. ∠ 2 and ∠ 8

C. ∠ 3 and ∠ 4

D. ∠ 4 and ∠ 7

39. What is the value of x in the figure below?

A. 31°

B. 77°

C. 88°

D. 180°



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40. MN has endpoints at M ( − 3, 2) and

N ( − 1, 7). If MN 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)



11

STOP

Pre-Algebra Practice Final Exam Answer Key

1 D 21 C2 B 22 C3 A 23 B4 A 24 B5 D 25 D6 C 26 C7 D 27 D8 C 28 C9 C 29 D

10 C 30 D11 D 31 B12 B 32 C13 B 33 C14 C 34 C15 B 35 D16 B 36 C17 D 37 D18 D 38 B19 B 39 B20 B 40 D

pre algebra final exam specification sheet free response...

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