1. Test Taking Strategies CAHSEE Mathematics

2. Expectations Actively Listen and Learn - Take Notes - Follow Along - Answer Questions Participate - Working in Groups Be Respectful and Courteous

3. What to expect…

5. Answer the Question Problems with more than one step require you to really know the question you are asked. Read carefully and underline the question in the problem. Wrong answer choices called distractors are chosen carefully for these problems. DON’T FALL FOR THE DISTRACTOR!!

6. Jack went to the store and bought a package of notebook paper for $1.25, a pen for $1.50, and a dozen pencils for $1.99. How much did he have left if he paid with a $10 bill? A $3.74 B $4.74 C $5.26 D $6.26 $1.25 $1.50 $1.99 $4.74 $10.00 $ 5.26 + – Is this the right answer?

7. A CD player regularly sells for $80. It is on sale for 20% off. What is the sale price of the CD player? A $60 B $64 C $96 D $165 $80.00 20%.20 x $16.00 Is this the right answer? $80.00 16.00 – $64.00

8. Sally puts $200.00 in a bank account. Each year the account earns 8% simple interest. How much interest will be earned in three years? A. $16.00 B. $24.00 C. $48.00 D. $160.00 $200.00 8% 0.08 $16.00 x 3 $48.00

9. The spinner shown above is fair. What is the probability that the spinner will NOT stop on red if you spin it one time? A. B. C. D. RED YELLOW BLUE GREEN

10. The cost of a long distance call charged by each of the two telephone companies is shown on the graph below. Company A is less expensive than Company B for-- A. all calls B. 3 minute calls only C. calls less than 3 minutes D. calls longer than 3 minutes

11. Get to the Point Get to the Point means to focus on key words within the problem. Those key words, vocabulary, can help to decide an answer even when you do not understand the question. If a graph is involved look at the title, the labels on the axes, and the scale.

12. Which scatter-plot shows a negative correlation?

13. Donald priced six personal Compact Disc (CD) players. The prices are shown below. $21.00, $23.00, $21.00, $39.00, $25.00, $31.00 What is the median price? A $21.00 B $24.00 C $27.00 D $30.00 $21 $23 $25 $31 $39 $24

14. Which system of equations represents the statements below? The sum of two numbers is ten. One number is five times the other. A. xy = 10 and y = 5x B. xy = 10 and y = x + 5 C. x + y = 10 and y = 5x D. x + y = 10 and y = x + 5

15. Which figure is congruent to the figure shown here? A. B. C. D.

16. What is the reciprocal of ? A. – B. – C. D. ax 2 y ax 2 y ax 2 y Y ax 2 Y ax 2 y y

17. 50/50 is also called Process of Elimination. If you can’t do the math, you can rule out answer choices that you know are wrong. You can then guess from your remaining answer choices. 50/50

18. Which of the following is equal to 5.4 x 10 3 ? A.0054 B 5.4000 C 5400 D 54000 10 3 = 1000

19. What number equals A 0.267 B 0.375 C 2.67 D 3.75 38.000.3.3 2.42.4

20. Which expression is equivalent 7a 2 b  7bc 2 ? A. 14a 2 b 2 c 2 B. 49a 2 bc 2 C. 49a 2 b 2 c 2 D. 343a 2 b 2 c 2 7a 2 b  7bc 2 49 7 ∙ 7a2ba2b a2b2c2a2b2c2 bc 2

21. One millimeter is – A. meter B. meter C. 100 meters D. 1000 meters 1 1000 1 100 milli.001

22. Which of the following is the graph of ( 0, ) 2 Slope = 1212

23. Draw it Draw It works when you need to “see” the problem. Seeing the numbers as objects or things makes the problem come alive for you. You may need to read the problem several times in order to draw it correctly. The time you take in drawing the problem gives your brain time to think and understand.

24. AA A B Two rectangles are similar. The dimensions of rectangle B are twice those of rectangle A. How many times greater is the area of rectangle B to rectangle A. A 2 B 4 C 6 D 8 A

25. The square root of 150 is between— A. 10 and 11 B. 11 and 12 C. 12 and 13 D. 13 and 14 10 11 12 13 √100 √121 √144 √169 150 √ X

26. Mr. Gulati is holding five cards numbered 1 through 5. He has asked five students to each randomly pick a card to see who goes first in a game. Whoever picks the card numbered 5 goes first. Juanita picks first, gets the card numbered 4, and keeps the card. What is the probability that Yoko will get the card numbered 5 if she picks second? A. 25% B. 50% C. 75% D. 100% 12345

27. If a line passes through the points A and B shown below, approximately where does the line cross the x-axis? A. between –3 and –2 B. between 0 and -1 C. between 0 and 1 D. between 1 and 2

28. What is the slope of the line shown in the graph above? A. -2 B. C. D. 2 2 4 Slope =

29. Eyeball It To “eyeball it” use your eyes to approximate or compare measurements. Figures are drawn to scale unless otherwise stated. Makeshift Measure is another way to “eyeball it”. Use your pencil or your finger to mark off a measurement then compare that to other measures.

30. How far is my friend from home if he walks through the park? Home Friend 12m 5m A. 7m B. 9m C. 13m D. 19m Park a 2 + b 2 = c 2 ( ) 2 + ( ) 2 = ( ?) 2 25 + 144 = (?) 2 = (?) 2 13 = ? 512 169 √

31. What is the area of the shaded region in the figure shown below? A. 4 cm 2 B. 6 cm 2 C. 8 cm 2 D. 16 cm 2 2

32. What is the area of the shaded figure below? A. 8 cm 2 B. 9 cm 2 C. 10 cm 2 D. 12 cm 2 = 1 cm 2

33. One inch cubes are stacked as shown in the drawing below. What is the total surface area? A. 19 in. 2 B. 29 in. 2 C. 32 in. 2 D. 38 in. 2 { { 1 in. {

34. Estimate Estimating is a way of approximating an answer. Use it to eliminate answer choices, avoid tough calculations, and check your work. You don’t always need an exact answer to select the correct answer choice. With fractions estimate so the fractions can be reduced and easier to work with.

35. Sally paid $1.89 for 5 plums. About how many plums would she get for $10? A 4 B 5 C 10 D 25 5 plums for $2.00 10 plums for $4.00 20 plums for $8.00 $1.89 is almost $2.00

36. Marcus plans to buy a Compact Disc (CD) that has a regular price of $13.99. It is on sale for 10% off, but Marcus will have to pay 7% sales tax. Which the MOST reasonable estimate of the total cost of the CD including tax? A $12.50 B $13.50 C $14.50 D $15.50 $13.99 (about $1.00)  $14 x.1 1.40 14 1.40– 12.60  $13 x.07.91 1.00+ 13.60

37. Last year of all students at a school participated in the science fair. About what percentage of the students participated? A. 18% B. 23% C. 44% D. 56% 7 < 8 16 8 = 1 16 2 1 = 50% 2 7 < 50% 16

38. Stephanie is reading a 456 page book. During the past 7 days she has read 168 pages. If she continues reading at the same rate, how many more days will it take her to complete the book? A. 12 B. 14 C. 19 D. 24 168 7 days 170 pages 7 more days 340 pages 7 more days 510 pages ≈ 170

39. The largest possible circle is to be cut from a 10-foot square board. What will be the approximate area, in square feet, of the Remaining board (shaded region)? A = π r 2 A. 20 B. 30 C. 50 D. 80 A = π ( ) 2 π ( ) 3.14 (25) 3 (25) 75 + 10 ft 5ft 5 25 Square – Circle 10 ∙ 10 –

40. Plug ‘N’ Chug Write down the formula Plug in the values. Chug through the math. Plug ‘N’ Chug works best when a formula, equation, or expression is given in the problem.

41. In Sacramento, the temperature at noon was 35  Celsius (C). What was the temperature in degrees Fahrenheit (F)? A 35  B 63  C 67  D 95  F = 9/5 ( ) + 32 F = 63 + 32 F = 95 35

42. What is the area of the triangle shown above? A 44 square units B 60 square units C 88 square units D 120 square units 11 8 15 8 Area = ½ bh Area = ½( )( ) Area = 60

43. What is the volume of the shoebox shown above in cubic inches (in. 3 )? A 29 B 75 C 510 D 675 9 in. 5 in. 15 in. Volume = L  W  H Volume = ( )( )( ) Volume = 675 1559

44. What is the value of (3 + 5 2 ) ÷ 4 – (x + 1) when x = 7? A. -7 B. -1 C. 8 D. 10 (3 + 5 2 ) ÷ 4 – ( + 1) 7 (3 + ) ÷ 4 – (7 + 1) 288 5252 25 ( ) ÷ 4 – ( )3 +257 + 1 - ( 8) ( 28 ) ÷ 47 7 – (8)- 1

45. What does x 5 equal when x = - 2? A. - 32 B. - 10 C. - D. 32 1 32 x5x5 ( ) ( ) ( ) ( ) ( ) X XXXX (X) (X) (X) (X) (X) -2 (-2) (-2) (-2) (-2) (-2)-32

46. The table shows values for x and corresponding values for y. Which of the following represents the relationship between x and y? A. y = x B. y = 7x C. y = x – 6 D. y = x - 18 Xy 213 142 284 71 1717 ( ) = 1/7 ( ) 213 ( ) = 7 ( ) 213 ( ) = ( ) - 6 213 ( ) = ( ) - 18 213 ( ) = 1/7 ( ) 71 ( ) = ( ) - 18 71

47. Backsolve Backsolve means working backwards from the answer choices. Plug in the answer choices and let the problem do the work. Remember these steps: Plug in one of the answer choices Chug across the equation If your result is true, you’re done. If your result is false, try again.

48. Solve for n: 3n + 4 = 19 A n = 2 B n = 3 C n = 5 D n = 7 3( ) + 4 = 19 6 + 4 = 10 2 3( ) + 4 = 19 9 + 4 = 13 3 3( ) + 4 = 19 15 + 4 = 19 5

49. Which of the following point lies on the line 4x + 5y = 20? A (0, 4) B (0, 5) C (4, 5) D (5, 4) x y 4( ) + 5( ) = 20 0 + 20 = 20 04

50. The number of games won over four years for the three teams is shown on the graph below. Which statement is true based on this information? A. Team 3 always came in second. B. Team 1 had the best average overall. C. Team 1 always won more games than Team 3. D. Team 2 won more games each year than in the previous years. ?

51. If |x| = 3, what is the value of x ? A. -3 or 0 B. -3 or 3 C. 0 or 3 D. -9 or 9 | | = 3 -30 3 = 3 0 = 3 | | = 3 -33 3 = 3

52. The slope of the line shown below is What is the value of d? A. 3 B. 4 C. 6 D. 9 d 6 0 y x Slope = rise run 2 = 3 d 6 3 6 3 2 = 3 6 4

53. Solve for n. 2n + 3 < 17 A. n < 2 B. n < 3 C. n < 5 D. n < 7 2( ) + 3 < 17 1 2 + 3 < 17 5 < 17 BUT, n = 1 is a valid number to use to test all answer choices... Start from D, try n = 6,6 12 + 3 < 17 15 < 17

54. Pick a Number Pick a number works best when there are variables in the answer choices. Pick a number or numbers. Substitute for the variable(s). Work it out and evaluate. When a graph is involved, Pick a Point (x,y) and substitute into the equation. Evaluate the results.

55. If n is an odd number, which of the following is true about n + 1? A. It is an odd number. B. It is an even number. C. It is a prime number. D. It is the same thing as n – 1. Pick n = 5 + 1 = 65 Pick n = 77+ 1 = 8 Pick n = 1111+ 1 = 12

56. If a is a positive number and b is a negative number, which expression is always positive? A. a – b B. a + b C. a x b D. a ÷ b Pick a = 5, b = - 3 ( ) – ( ) ( ) + ( ) ( ) x ( ) ( ) ÷ ( ) 5 -35 5 5 Pick a = 5, b = - 8 ( ) + ( ) ( ) – ( ) 5-85

57. Which graph represents the line on the graph? A. x + 2y = 3 B. x + 2y = 5 C. 2x + y = 9 D. 4x + 2y = 3 x + 2y = 3 3 + 2(0) = 3 3 = 3 (3,0)

58. What is the y-intercept of the line represented by the equation x + 4y = 3? A. B. C. 3 D. 4 3434 4343 y-intercept is point ( 0, y) + 4 y = 3x 0 4 y = 3 4 y = 3 4

59. Which graph represents the system of equations shown below? y = -x + 3 y = x + 3 ( ) = -( ) + 3 ( ) = ( ) + 3 A. C. B. D. (0, -3)0-3 -3 = 3 (0, 3)03 3 = 3 0 3

60. EXTRA PRACTICE ROOM C -125 EVERY MORNING 7-8 AM ROOM P-18 MON & TUES 3-4 PM