College test english 9

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–BASIC SKILLS FOR COLLEGE– 7. What is the perimeter of the triangle below? 9. If in the ﬁgure above, OP, QR, ST, and UV are SBGeo_1 what is the value of angle a? SBGeo_2 parallel, a. 40 40o b. 50 c. 120 6 d. 140 10. What is the value of angle b? 70o a. 40 5 b. 50 a. 14 SBGeo_4 c. 120 SB SBGeo_1 SBGeo_2 SBGeo_3 b. 16 d. 140 c. 17 11. Refer to the three ﬁgures below: d. 30 8. A triangle has 2 sides that measure 14 cm and 17 cm respectively. Which of the following could M N O be the length of the triangle’s third side? a. 33 cm b. 31 cm Which of the following statements are true? c. 25 cm SBGeo_4 a. Figure M has 360° SBGeo_5 b. SBGeo_6 360° d. 3 cm Figure N has SBGeo_7 c. Figure O has 360° Use the diagram below to answer questions 9 and 10. d. Both a and c are true. 12. What is the area of the parallelogram below? 8 O P bo 10 Q R S T SBGeo_6 8 ao SBGeo_8 SBGeo_7 a. 80 SBGeo_9 U V SBG b. 48 40 o c. 40 d. 32 SBGeo_9 SBGeo_10 CHAPTER 4 • LearningExpress Skill Builders 84
–ESSENTIAL PRACTICE WITH MATH– 13. If triangle ABC is similar to triangle XYZ, what 16. Which line below has zero slope? is the value of XZ + YZ? A Y SBGeo_14 B 5 12 4 X X X A C 6 B X Z a. 33 SBGeo_1 SBGeo_14 SBGeo_14 SBGeo_2 SBGeo_3 Y Y b. 22 c. 11 C d. It cannot be determined. D SBGeo_15 14. Which line is perpendicular to the line y 5x X X SBGeo_15 3? a. y 5x 3 b. y 5x 3 Y Y c. y 1 x 4 5 a. SBGeo_5 Line A d. y SBGeo_4 1 5x 4 b. Line B SBGeo_17 SBGeo_17 SBGeo_16SBGeo_18 15. If the area of circle Q is 36π, what is its diame- SBGeo_16 c. Line C ter? d. Line D 17. Which of the following shapes have a line of sym- metry? SBGeo_17 SBGeo_18 SBGeo_16 Q A B a. 6 SBGeo_19 SBGeo_6 SBGeo_8 b. 12 SBGeo_7 c. 6π d. 12π SBGeo_19 C D SBGeo_20 a. A and B only b. B,C, and D only SBGeo_19 c. B and D only d. A, B, and D only SBGeo_9 SBGeo_10 SBGeo_2 LearningExpress Skill Builders • CHAPTER 4 85 SBGeo_20
–BASIC SKILLS FOR COLLEGE– 18. Which of the following polygons are congruent? 22. Which point is located at ( 3, 7)? 7 C B 6 C D B A 5 4 3 A a. A and B 2 b. B and C 1 c. A and C x -7 -6 -5 -4 -3 -2 -1 1234567 -1 d. A and D -2 19. How many times does the graph of y x2 4 -3 F -4 cross the x-axis? -5 a. not at all -6 b. once -7 D E c. twice d. It cannot be determined. y 20. If the sphere below has a radius = 3 , what is its a. A 2 b. B volume? a. 9 π c. D 2 d. E 9 b. 4π c. 9π 23. What is the height of a triangle with a base of SBGeo_1 SBGeo_2 SBGeo_3 d. 2π 20 and an area of 120? a. 5 21. If the length of the rectangle below is doubled, b. 10 what happens to its area? c. 12 d. It cannot be determined. 2 cm 24. Which equation represents a line parallel to 5.5 cm y 3x 5? a. y = 1 x – 5 a. It remains the same. SBGeo_4 3 SBGeo_5 b. y = – 1 x + 4 b. It is doubled. 3 c. It is tripled. c. y = 3x + 5 d. It is quadrupled. d. y = –3x – 5 CHAPTER 4 • LearningExpress Skill Builders 86 SBGeo_6 SBGeo_8 SBGeo_7
SBGeo_5 –ESSENTIAL PRACTICE WITH MATH– 25. If ABCD is a rectangle, which of the following 4. One week, Sal earned $20 more than twice the MUST be true? amount that Doug made. If their combined earnings for the week was $460, which equation A C can be used to determine how much Doug made that week? S 20 a. D 2 B D b. D 460 S c. D 460 (20 2D) a. AC is twice AB SBGeo_8 Geo_7 d. D 20 2D b. AD bisects BC c. AC equals DC 4 3 5. ( 3x )( 21x ) is equivalent to 6y 2y d. AD bisects AC 9x4y3 a. 23xy ALGEBRA 3x3y2 b. 7 3xy3 c. 1. One number is ﬁve less than another number. 7xy If both numbers add to twenty-three, what is the x4y3 d. 3 larger number? 6. 2x 4 12 is equivalent to a. 18 a. x 8 b. 14 SBGeo_10 b. x 8 c. 9 c. x 4 d. 5 d. x 4 2. If you calculate the product of 4 more than the 5, then ( 1 )(b2 7. If b b) is equal to value of 3 times x and 1 less than x, which of the 6 a. 130 following choices would represent an equivalent 10 b. expression? 3 c. 5 3x2 7x 4 a. d. 5 b. 3x2 x 4 c. 3x2 7x 4 8. What is the value of 3x2 2x 5 when x 2? d. 3x2 x 4 a. 1 x2 49 b. 11 3. The expression is equivalent to: x2 6x 7 c. 13 x 7 a. x 1 d. 21 x 7 b. x 1 9. If b is greater than 5, then b 3 must be x 7 c. x 1 a. between 3 and 5. x 7 d. x 3 b. less than 5. c. greater than 2. d. greater than 8. LearningExpress Skill Builders • CHAPTER 4 87
– BASIC SKILLS FOR COLLEGE– 17. Which of the following choices is equivalent to 10. If (x 2)2 0, what is the value of x? the inequality 9 (P 1) 2 ( P 2.5)? a. 2 4 b. 1 a. P 7 2 1 4 c. b. P 2 7 d. 2 c. P 2 d. P 2 11. Solve for x: 5x 6 3x 16 18. At a garage sale, Dave buys three psychology a. 5 b. 11 books that cost $3.25 each, and a vocabulary c. 5 book that costs ﬁve dollars. Which expression d. 11 represents the amount of change, C, he should get when paying with a twenty-dollar bill? 12. What is the value of 5q q2 when q 6? a. 20 3.25 3(5) C a. 66 b. 20 3(3.25) 5 C b. 30 c. 3(3.25) 5 C c. 6 d. 20 3.25 5 C d. 6 19. Which of the following choices represents a 13. What are the solutions to x2 2x 15 0? solution to the equation 3x2 x 2 0? a. x 3, 5 a. 1 b. x 3, 5 2 b. 3 c. x 3, 5 c. 1 d. x 3, 5 d. 23 14. Solve for x: 5x 5 30 20. What are the solutions to B2 8B 12 0? a. 6 a. B 4, 2 b. 6 b. B 8, 4 c. 7 c. B 2, 6 d. 7 d. B 2, 6 15. 3x 9 is equivalent to 21. Solve for x: 2x3 8 62 a. x 3 a. 3 b. x 6 b. 3 or 3 c. x 3 c. 3 d. x 6 1 d. 3 16. (8x3y)(2x5y9) is equivalent to a. 16x8y10 b. 10x8y9 c. 6x8y8 d. 16x8y8 CHAPTER 4 • LearningExpress Skill Builders 88
–ESSENTIAL PRACTICE WITH MATH– x 3x ( 25x ) is equivalent to ANSWERS 22. ( 3 ) ( 10 ) 7x a. 15 OPERATIONS WITH WHOLE 31x b. 30 NUMBERS 8x c. 18 7x 1. b. This is a problem with several steps. First, ﬁg- d. 30 ure out how many dozen bracelets Janice makes 23. If 2x y 4 and x y 8, then what is x equal each day. To do this you would divide 36 by one to? dozen, or 12, and 36 12 3. So she makes 3 a. 4 dozen bracelets per day. Now, ﬁgure out how b. 12 much she makes on bracelets per day: $18 3 c. 4 $54. Finally, ﬁgure out how much Janice makes d. 12 per week. To do this, you must multiply how much 24. What is the value of the expression 5x2 she makes per day ($54) by how many days per 2xy3 week (5) she works: $54 5 $270. when x 3 and y 2? a. 3 2. a. This problem has multiple steps. First, ﬁgure out b. 3 what Deanna spent: $7 for popcorn, 2 hot dogs c. 93 2 girls $3 each equals $12, 2 sodas $4 d. 93 $8. Then add them up: $7 $12 $8 $27. 1, and c 1 , 2a b 5 25. If a 2, b Next, ﬁgure out what Jamie spent: $13 2 $26. is equal 2 c Lastly, subtract the two numbers: $27 $26 to which of the following? $1. Deanna spent $1 more. a. 5 b. 10 OPERATIONS WITH FRACTIONS c. 20 d. 25 3. c. Converting mixed numbers into improper frac- tions is a two-step process. First, multiply the whole number by the denominator of the fraction. Then, add that number (or product) to the numerator of the fraction. So 1 1 9 3 8 and 1 5 8 8 9 8 72 9 4 5 . Area length width, so 8 5 15. 5 40 fraction ( 9 ) into Hint: To convert the improper 5 a mixed number, you divide the denominator (5) into the numerator (9). Any remainder becomes part of the mixed number (5 goes into 9 once with a remainder of 4, hence 1 4 ). 5 LearningExpress Skill Builders • CHAPTER 4 89