College test english 9 pdf

CHAPTER 4 • LearningExpress Skill Builders 84 7. What is the perimeter of the triangle below? a. 14 b. 16 c. 17 d. 30 8. A triangle has 2 sides that measure 14 cm and 17 cm respectively.Which of the following could be the length of the triangle’s third side? a. 33 cm b. 31 cm c. 25 cm d. 3 cm Use the diagram below to answer questions 9 and 10. 9. If in the figure above, OP, QR, ST, and UV are parallel, what is the value of angle a? a. 40 b. 50 c. 120 d. 140 10. What is the value of angle b? a. 40 b. 50 c. 120 d. 140 11. Refer to the three figures below: Which of the following statements are true? a. Figure M has 360° b. Figure N has 360° c. Figure O has 360° d. Both a and c are true. 12. What is the area of the parallelogram below? a. 80 b. 48 c. 40 d. 32 SBGeo_1 SBGeo_2 SBGeo_3 SBGeo_4 SBGeo_5 SBGeo_6 SBGeo_7 SBGeo_8 SBGeo_9 SBGeo_10 8 8 10 MN O OP QR ST UV b o a o 40 o 40 o 70 o 6 5 SBGeo_1 SBGeo_2 SBGeo_3 SBGeo_4 SBGeo_5 SBGeo_6 SBGeo_7 SBGeo_8 SBGeo_9 SBGeo_10 –BASIC SKILLS FOR COLLEGE– LearningExpress Skill Builders • CHAPTER 4 85 13. If triangle ABC is similar to triangle XYZ, what is the value of XZ + YZ? a. 33 b. 22 c. 11 d. It cannot be determined. 14. Which line is perpendicular to the line y ϭϪ5x Ϫ 3? a. y ϭϪ5x ϩ 3 b. y ϭ 5x Ϫ 3 c. y ϭ ᎏ 1 5 ᎏ x ϩ 4 d. y ϭϪ ᎏ 1 5 ᎏ x ϩ 4 15. If the area of circle Q is 36π, what is its diame- ter? a. 6 b. 12 c. 6π d. 12π 16. Which line below has zero slope? a. Line A b. Line B c. Line C d. Line D 17. Which of the following shapes have a line of sym- metry? a. A and B only b. B,C, and D only c. B and D only d. A, B, and D only SBGeo_14 SBGeo_15 SBGeo_17 SBGeo_18 SBGeo_19 SBGeo_16 CD SBGeo_20 SBGeo_14 SBGeo_15 SBGeo_17 SBGeo_18 SBGeo_19 SBGeo_16 AB SBGeo_20 C D X Y X Y B A X Y X Y X SBGeo_1 SBGeo_2 SBGeo_3 SBGeo_4 SBGeo_5 SBGeo_6 SBGeo_7 SBGeo_8 SBGeo_9 SBGeo_10 Q 4 5 6 A B C 12 X Y Z SBGeo_14 SBGeo_15 SBGeo_17 SBGeo_18 SBGeo_19 SBGeo_16 SBGeo_20 –ESSENTIAL PRACTICE WITH MATH– CHAPTER 4 • LearningExpress Skill Builders 86 18. Which of the following polygons are congruent? a. A and B b. B and C c. A and C d. A and D 19. How many times does the graph of y ϭ x 2 Ϫ 4 cross the x-axis? a. not at all b. once c. twice d. It cannot be determined. 20. If the sphere below has a radius = ᎏ 3 2 ᎏ , what is its volume? a. ᎏ 9 2 ᎏ π b. ᎏ 4 9 π ᎏ c. 9π d. 2π 21. If the length of the rectangle below is doubled, what happens to its area? a. It remains the same. b. It is doubled. c. It is tripled. d. It is quadrupled. 22. Which point is located at (Ϫ3, 7)? a. A b. B c. D d. E 23. What is the height of a triangle with a base of 20 and an area of 120? a. 5 b. 10 c. 12 d. It cannot be determined. 24. Which equation represents a line parallel to y ϭ 3x Ϫ 5? a. y = ᎏ 1 3 ᎏ x – 5 b. y = – ᎏ 1 3 ᎏ x + 4 c. y = 3x + 5 d. y = –3x – 5 x y 1234567 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 -1-2-3-4-5-6 -7 B A C F D E SBGeo_1 SBGeo_2 SBGeo_3 SBGeo_4 SBGeo_5 SBGeo_6 SBGeo_7 SBGeo_8 SBGeo_9 SBGeo_10 2 cm 5.5 cm A B C D –BASIC SKILLS FOR COLLEGE– LearningExpress Skill Builders • CHAPTER 4 87 25. If ABCD is a rectangle, which of the following MUST be true? a. AC is twice AB b. AD bisects BC c. AC equals DC d. AD bisects AC ALGEBRA 1. One number is five less than another number. If both numbers add to twenty-three, what is the larger number? a. 18 b. 14 c. 9 d. 5 2. If you calculate the product of 4 more than the value of 3 times x and 1 less than x, which of the following choices would represent an equivalent expression? a. Ϫ3x 2 ϩ 7x ϩ 4 b. 3x 2 Ϫ x Ϫ 4 c. 3x 2 ϩ 7x Ϫ 4 d. 3x 2 ϩ x Ϫ 4 3. The expression ᎏ x 2 x ϩ 2 Ϫ 6x 4 Ϫ 9 7 ᎏ is equivalent to: a. ᎏ x x Ϫ Ϫ 7 1 ᎏ b. ᎏ x x ϩ ϩ 7 1 ᎏ c. ᎏ x x Ϫ ϩ 7 1 ᎏ d. ᎏ x x ϩ Ϫ 7 3 ᎏ 4. One week, Sal earned $20 more than twice the amount that Doug made. If their combined earnings for the week was $460, which equation can be used to determine how much Doug made that week? a. D ϭ ᎏ S ϩ 2 20 ᎏ b. D ϭ 460 ϩ S c. D ϭ 460 Ϫ (20 ϩ 2D) d. D ϭ 20 ϩ 2D 5. ( ᎏ 3 2 x y 4 ᎏ )( ᎏ 2 6 1 y x 3 ᎏ ) is equivalent to a. ᎏ 9 2 x 3 4 x y y 3 ᎏ b. ᎏ 3x 7 3 y 2 ᎏ c. ᎏ 3 7 x x y y 3 ᎏ d. ᎏ x 4 3 y 3 ᎏ 6. 2x ϩ 4 ϽϪ12 is equivalent to a. x ϽϪ8 b. x Ͻ 8 c. x ϽϪ4 d. x Ͻ 4 7. If b ϭϪ5, then ( ᎏ 1 6 ᎏ )(b 2 ϩ b) is equal to a. ᎏ 1 3 0 ᎏ b. Ϫ ᎏ 1 3 0 ᎏ c. 5 d. Ϫ5 8. What is the value of 3x 2 Ϫ 2x ϩ 5 when x ϭϪ2? a. Ϫ1 b. 11 c. 13 d. 21 9. If b is greater than 5, then b ϩ 3 must be a. between 3 and 5. b. less than 5. c. greater than 2. d. greater than 8. SBGeo_1 SBGeo_2 SBGeo_3 SBGeo_4 SBGeo_5 SBGeo_6 SBGeo_7 SBGeo_8 SBGeo_9 SBGeo_10 A B C D –ESSENTIAL PRACTICE WITH MATH– CHAPTER 4 • LearningExpress Skill Builders 88 10. If (x Ϫ 2) 2 ϭ 0, what is the value of x? a. 2 b. ᎏ 1 2 ᎏ c. Ϫ ᎏ 1 2 ᎏ d. Ϫ2 11. Solve for x:5x Ϫ 6 ϭ 3x ϩ 16 a. 5 b. 11 c. Ϫ5 d. Ϫ11 12. What is the value of 5q Ϫ q 2 when q ϭ 6? a. 66 b. 30 c. 6 d. Ϫ6 13. What are the solutions to x 2 ϩ 2x Ϫ15 ϭ 0? a. x ϭ 3, 5 b. x ϭϪ3, 5 c. x ϭϪ3, Ϫ5 d. x ϭ 3, Ϫ5 14. Solve for x: Ϫ5x Ϫ 5 ϭ 30 a. Ϫ6 b. 6 c. Ϫ7 d. 7 15. Ϫ3x Ͻ 9 is equivalent to a. x ϾϪ3 b. x Ͼ 6 c. x ϽϪ3 d. x Ͼ 6 16. (8x 3 y)(2x 5 y 9 ) is equivalent to a. 16x 8 y 10 b. 10x 8 y 9 c. 6x 8 y 8 d. 16x 8 y 8 17. Which of the following choices is equivalent to the inequality 9 (P ϩ 1) ϾϪ2 (ϪP ϩ 2.5)? a. P ϾϪ ᎏ 4 7 ᎏ b. P ϽϪ ᎏ 4 7 ᎏ c. P ϾϪ2 d. P ϽϪ2 18. At a garage sale, Dave buys three psychology books that cost $3.25 each, and a vocabulary book that costs five dollars. Which expression represents the amount of change, C, he should get when paying with a twenty-dollar bill? a. 20 Ϫ 3.25 Ϫ 3(5) ϭ C b. 20 Ϫ 3(3.25) Ϫ 5 ϭ C c. 3(3.25) ϩ 5 ϭ C d. 20 Ϫ 3.25 Ϫ 5 ϭ C 19. Which of the following choices represents a solution to the equation 3x 2 Ϫ x Ϫ 2 ϭ 0? a. Ϫ1 b. Ϫ ᎏ 2 3 ᎏ c. 1 d. ᎏ 2 3 ᎏ 20. What are the solutions to B 2 ϩ 8B ϩ 12 ϭ 0? a. B ϭϪ4, 2 b. B ϭϪ8, 4 c. B ϭϪ2, 6 d. B ϭϪ2, Ϫ6 21. Solve for x:2x 3 ϩ 8 ϭ 62 a. 3 b. 3 or Ϫ3 c. Ϫ3 d. ᎏ 1 3 ᎏ –BASIC SKILLS FOR COLLEGE– LearningExpress Skill Builders • CHAPTER 4 89 22. ( ᎏ 3 x ᎏ ) ϩ ( ᎏ 1 3 0 x ᎏ ) Ϫ ( ᎏ 2 5 x ᎏ ) is equivalent to a. ᎏ 1 7 5 x ᎏ b. ᎏ 3 3 1 0 x ᎏ c. ᎏ 1 8 8 x ᎏ d. ᎏ 3 7 0 x ᎏ 23. If 2x Ϫ y ϭ 4 and x ϩ y ϭ 8,then what is x equal to? a. 4 b. 12 c. Ϫ4 d. Ϫ12 24. What is the value of the expression 5x 2 ϩ 2xy 3 when x ϭ 3 and y ϭϪ2? a. Ϫ3 b. 3 c. Ϫ93 d. 93 25. If a ϭ 2, b ϭϪ1, and c ϭ ᎏ 1 2 ᎏ , ᎏ 2a Ϫ c b ϩ 5 ᎏ is equal to which of the following? a. 5 b. 10 c. 20 d. 25 ANSWERS OPERATIONS WITH WHOLE NUMBERS 1. b. This is a problem with several steps. First, fig- ure out how many dozen bracelets Janice makes each day. To do this you would divide 36 by one dozen, or 12, and 36 Ϭ 12 ϭ 3. So she makes 3 dozen bracelets per day. Now, figure out how much she makes on bracelets per day: $18 ϫ 3 ϭ $54. Finally, figure out how much Janice makes per week. To do this, you must multiply how much she makes per day ($54) by how many days per week (5) she works: $54 ϫ 5 ϭ $270. 2. a. This problem has multiple steps. First,figure out what Deanna spent: $7 for popcorn, 2 hot dogs ϫ 2 girls ϫ $3 each equals $12, 2 sodas ϫ $4 ϭ $8. Then add them up: $7 ϩ $12 ϩ $8 ϭ $27. Next, figure out what Jamie spent: $13 ϫ 2 ϭ $26. Lastly, subtract the two numbers: $27 Ϫ $26 ϭ $1. Deanna spent $1 more. OPERATIONS WITH FRACTIONS 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 ᎏ 1 8 ᎏ ϭ ᎏ 9 8 ᎏ and 1 ᎏ 3 5 ᎏ ϭ ᎏ 8 5 ᎏ .Area ϭ length ϫ width, so ᎏ 9 8 ᎏ ϫ ᎏ 8 5 ᎏ ϭ ᎏ 7 4 2 0 ᎏ ϭ ᎏ 9 5 ᎏ ϭ1 ᎏ 4 5 ᎏ . Hint: To convert the improper fraction ( ᎏ 9 5 ᎏ ) into 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 ᎏ 4 5 ᎏ ). –ESSENTIAL PRACTICE WITH MATH– . So 1 ᎏ 1 8 ᎏ ϭ ᎏ 9 8 ᎏ and 1 ᎏ 3 5 ᎏ ϭ ᎏ 8 5 ᎏ .Area ϭ length ϫ width, so ᎏ 9 8 ᎏ ϫ ᎏ 8 5 ᎏ ϭ ᎏ 7 4 2 0 ᎏ ϭ ᎏ 9 5 ᎏ ϭ1 ᎏ 4 5 ᎏ . Hint: To convert the improper fraction ( ᎏ 9 5 ᎏ ) into a mixed. only SBGeo_14 SBGeo_15 SBGeo_17 SBGeo_18 SBGeo_ 19 SBGeo_16 CD SBGeo_20 SBGeo_14 SBGeo_15 SBGeo_17 SBGeo_18 SBGeo_ 19 SBGeo_16 AB SBGeo_20 C D X Y X Y B A X Y X Y X SBGeo_1 SBGeo_2 SBGeo_3 SBGeo_4 SBGeo_5 SBGeo_6 SBGeo_7 SBGeo_8 SBGeo _9 SBGeo_10 Q 4 5 6 A B C 12 X Y Z SBGeo_14 SBGeo_15 SBGeo_17 SBGeo_18 SBGeo_ 19 SBGeo_16 SBGeo_20 –ESSENTIAL. determined. 20. If the sphere below has a radius = ᎏ 3 2 ᎏ , what is its volume? a. ᎏ 9 2 ᎏ π b. ᎏ 4 9 π ᎏ c. 9 d. 2π 21. If the length of the rectangle below is doubled, what happens to its area? a.