2 2IntrotoMathPart3

Copyright © 2010 StudyPoint, Inc.INTRO TO MATH PART 3 (201)

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The following worksheets should be used to complete this homework set.

If you have any questions, please feel free to contact your local program manager at:

1-87-STUDYPOINT

Instructions for Part 3

1. Complete the problems included in this homework set and enter your answers online.

2. Remember to review the next 25 vocabulary flashcards, complete the practice Essay Prompt (included in Part 1) and complete the next Critical Reading Passage found in the Appendix of your Student Manual.

Once you have completed this problem set:1. Go to http://www.studypoint.com.

2. Click the “Student Login” link.

3. Login using your personalized username and password.

4. Select the link to the answer page for this assignment and transfer the answers from your complet-ed worksheet to the online scoring program.

5. Upon entering your scores, you will unlock the bonus problem sets for this chapter. Complete these sets as instructed by your tutor.

6. In your next session, your tutor will analyze your homework results with you, as well as review your essay and critical reading passages.

2 2IntrotoMathPart3

INTRO TO MATH PART 3 (201)2 Copyright © 2010 StudyPoint, Inc.

2 2Use this sheet to record your answers to the problems below.

Good Luck!

1 (see grid-in)2 (see grid-in)3 (see grid-in)4 A B C D E

5 A B C D E

PART

2

6 A B C D E

7 A B C D E

8 A B C D E

9 A B C D E

10 A B C D E

11 A B C D E

12 A B C D E

13 A B C D E

14 A B C D E

15 A B C D E

Please complete your assigned Grid-In Problems in the spaces provided below:

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2 2 2 2IntrotoMathPart3

Copyright © 2010 StudyPoint, Inc.INTRO TO MATH PART 3 (201)

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DIRECTIONSFORMULTIPLECHOICEQUESTIONS:For this section, you may use the available space for your scratchwork. Solve each problem, and fill in the corresponding oval for your answer on the answer sheet.

DIRECTIONSFORGRID-INQUESTIONS:These questions require you to solve the problems on your own and enter your answers into the corresponding grids by marking the appropriate ovals.

• Do not mark more than one oval per column. • Columns not needed should be left blank. • Youwillreceivecreditonlyifyoufilltheovalsincorrectly. • Some questions may have more than one correct answer. Only grid in one of the correct answers. • No answer will have a negative value. • Mixed numbers, such as 1 1

2 must be entered as 1.5 or 3/2. • Decimal answers with more digits than the grid can accommodate can be either rounded or truncated, but you must fill the entire grid. For example, 0.666... can be entered as 2/3, .666 or .667. If .66 or .67 is entered instead, it will be scored as incorrect.

Notes

1. You are allowed to use a calculator on this section.2. Only real numbers are used.3. Figures that accompany problems in this section are provided to help you solve the problem. You can assume that figures are accurately drawn to scale EXCEPT when it is noted otherwise. All figures lie in a plane unless otherwise noted.4. The domain of any function f is defined as the set of all real number x values for which f(x) is a real number, unless otherwise noted.

0 0 0

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ReferenceInform

ation

The number of degrees of arc in a circle is 360.The measure in degrees of a straight angle is 180.The sum of measures in degrees of the angles of a triangle is 180.

r

A = πr2 C = 2πr

l

wA = lw l

w

h

V = lwh

c

ab

a2 + b2 = c2A = bh12

h

b

rh

V = πr2h

2x x

x30°

60° 45°

45°

2

s

s

3

s

2 2IntrotoMathPart3

INTRO TO MATH PART 3 (201)4 Copyright © 2010 StudyPoint, Inc.

2 21.What is 80% of 40% of 25?

2.If 3 13 8127

x+= , what is the value of x + 5?

Note: Figure not drawn to scale.

3.ΔABC is an isosceles right triangle. If the length of AB

is increased by 6 cm and the length of BC is decreased by 4 cm, then the area of the ΔABC increases by 24 cm2. What is the length of the legs in the original isosceles triangle?

4. How many integer values of x satisfy the inequality

24 52x≤ ≤ ?

(A) 27 (B) 28 (C) 29 (D) 30 (E) 31

5.If f(x) = 3x – 2, then what is the value of f(f(2))?

(A) 3 (B) 4 (C) 10 (D) 12 (E) 14

6.What length, in centimeters, of wire is needed to enclose a square region with an area of 196 cm2?

(A) 14 (B) 28 (C) 56 (D) 784 (E) Cannot be determined

7. If n is an odd integer, then which of the following must be an even integer?

I. 4n II. 2n + 1 III. 3 + 5n

(A) I only (B) II only (C) III only (D) I and III only (E) I, II, and III

8.In the number line above, which point is the best estimate for the sum of p and t?

(A) q (B) r (C) s (D) u (E) Cannot be determined

9.Which of the following is a possible value of x if

61

14

3 xx

x=

−+

− ?

(A) – 7 (B) – 4 (C) 3 (D) 6 (E) 9

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Copyright © 2010 StudyPoint, Inc.INTRO TO MATH PART 3 (201)

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10.Two positive integers are in the ratio 3:2 and the difference of their squares is 180. Which is the larger of the two integers?

(A) – 18 (B) – 12 (C) 12 (D) 18 (E) 22

11.25 students in a science class may complete their assignments using a pen or a pencil. 14 of the students have submitted an assignment written in pen. If 10 of the students each have submitted both pen and pencil assignments, how many students in all have submitted an assignment written in pencil?

(A) 4 (B) 11 (C) 15 (D) 19 (E) 21

12.A father is three times as old as his daughter. In 15 years, he will be twice as old as she will be. What is the present age, in years, of the father?

(A) 20 (B) 24 (C) 27 (D) 36 (E) 45

13.Two dice are rolled simultaneously. What is the probability that six appears on none of the dice?

(A) 136

(B) 13

(C) 32

(D) 2536

(E) 3536

14. If x + 2y = 9 and xy = 5, what is the value of x2 + 4y2?

(A) – 61 (B) – 2 (C) 56 (D) 61 (E) 101

15.What is the equation of the line passing through the point (2, -3) and perpendicular to the line 7x + 3y + 2 = 0?

(A) 7x + 3y – 5 = 0 (B) 7x + 3y + 5 = 0 (C) 3x + 7y – 27 = 0 (D) 3x – 7y – 27 = 0 (E) 3x – 7y + 27 = 0