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SAT 12 > 8 Column AColumn BAnswers 3 x 43 + 5ABCDE EXAMPLE Compare the values shown in each column. Select among these choices: A If Column A is greater B If Column B is greater C If Columns are equal D If more information is needed to determine relationship E An E response will be treated as an omission

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SAT 10 + 8 80 10 + 8 80 Column AColumn BAnswers 1 + 1 8 10 1 + 1 9 11 ABCDE 1. 11 + 9 99 11 + 9 99 18 80 18 80 20 99 20 99 22.5 % 22.2 %

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SAT 1 2 1 2 Column AColumn BAnswers x 1x1x ABCDE 2. 2 1 2 1 x < 1 – 1 2 – 1 2 – 2 1 – 2 1

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SAT 34 X.52 17.68 34 X.52 17.68 Column AColumn BAnswers 52 % of 3417ABCDE 3. 17

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SAT 3 x – 6 Column AColumn BAnswers 3 ( x – 2 )3 x – 4ABCDE 4. 3 x – 4

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SAT 6 6 Column AColumn BAnswers 6 The sum of the integers ABCDE 5. 11 or 7 The product of two integers is 10. 10 1 or 5 2 –10 –1 or –5 –2 – 11 or –7

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SAT2 223222322 3232 Column AColumn BAnswers x2y2x2y2 x 2 y 2 ABCDE 6. 2 2 3 2 x and y are nonzero integers. 4949 4 9 36 1 2 2 1 2 3 1 2 2 3 9494 9 4 1 36 1 1 2 1 2 2 3 1 2 1 2 1 2 1 2

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SAT 34 X.52 17.68 34 X.52 17.68 Column AColumn BAnswers ABBCABCDE 7. 17 ABC D

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SAT 1212 1 2 Column AColumn BAnswers xxyABCDE 8. 1 2 2 1 1 2 2 1 x > 0 y > 1 1212 1 2 1111 1 1

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SAT X 5 Column AColumn BAnswers X 5 (x 3 ) 2 ABCDE 9. X 6 x > 1

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SAT 1y1y 1 y Column AColumn BAnswers 1y1y y2yy2y ABCDE 10. y1y1 y 1 y ≠ 0

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SAT A = s 2 = 6 2 = 36 Column AColumn BAnswers The number of square units in the area of a square with side 6 The number of units in the perimeter of a square with side 9 ABCDE 11. P = 4 s = 4 9 = 36

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SAT 93 Column AColumn BAnswers Bill’s mode test scoreBill’s median test scoreABCDE 12. 91.5 Bill’s math test scores are the following: 88, 82,94, 93, 85, 90, 93, 98

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SAT A = r 2 Column AColumn BAnswers The area of the circleThe area of the rectangleABCDE 13. A = l w 3 A = 3 2 A = 9 A = 9 3 A = 27 3 9

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SAT y y Column AColumn BAnswers 1 – y 1 + y 1 – 1 1 + y ABCDE 14. 1 1 y > 0

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SAT P = 2 x + 2 y = 32 Or x + y = 16 P = 2 x + 2 y = 32 Or x + y = 16 Column AColumn BAnswers The area of ABCD The area of a square with perimeter 32 ABCDE 15. Square with Perimeter = 4s = 32 s = 8 A = 8 2 = 64 Square with Perimeter = 4s = 32 s = 8 A = 8 2 = 64 ABCD is a rectangle with perimeter 32. AB > BC A = x y 15 1 = 15, 14 2 = 28, 13 3 = 39, 12 4 = 48, 11 5 = 55, 10 6 = 60, 9 7 = 63 A = x y 15 1 = 15, 14 2 = 28, 13 3 = 39, 12 4 = 48, 11 5 = 55, 10 6 = 60, 9 7 = 63

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16.In this figure, if line p is parallel to line q, what is the value of y? 180⁰ – 65⁰ = 115⁰ 115⁰ = y⁰ Corresponding <‘s 180⁰ – 65⁰ = 115⁰ 115⁰ = y⁰ Corresponding <‘sSAT 65⁰ y⁰y⁰ p q r

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17. What is ¼ percent of 16 ? x = 1 % 16 4 x = 1 1 16 4 100 x = 16 = 1 =.04 400 25 x = 1 % 16 4 x = 1 1 16 4 100 x = 16 = 1 =.04 400 25SAT

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18. Each of these fractions is in its simplest form reduced form and a is an integer greater than 1 and less than 50. Grid in one possible value of a? 3, 5, 14 a a a To be in simplest form “ a ” would have to be a number that has no prime factors in common with 3, 5, 14 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47 To be in simplest form “ a ” would have to be a number that has no prime factors in common with 3, 5, 14 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47SAT

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19. If there are 36 men and 24 women in a group, women make up what fraction of the entire group? 36 + 24 = 60 [total] 24 = 2 60 5 36 + 24 = 60 [total] 24 = 2 60 5SAT

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20. What is the value of 3 x + 5 when x = 9 ? 4 3 x + 5 = 3 (9) + 5 = 32 = 8 4 4 4 3 x + 5 = 3 (9) + 5 = 32 = 8 4 4 4SAT

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21. If the positive integer x leaves a remainder of 2 when divided by 6, what will the remainder of be when x + 8 is divided by 6 ? x = # + 2 R 6 8 = 1 + 2 R 6 14 = 2 + 2 R 6 20 = 3 + 2 R 6 x = # + 2 R 6 8 = 1 + 2 R 6 14 = 2 + 2 R 6 20 = 3 + 2 R 6SAT x + 8 = # + ? R 6 8 + 8 = 2 + 4 R 6 14 + 8 = 3 + 4 R 6 20 + 8 = 4 + 4 R 6 x + 8 = # + ? R 6 8 + 8 = 2 + 4 R 6 14 + 8 = 3 + 4 R 6 20 + 8 = 4 + 4 R 6

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22. Jim deposited 15% of last week’s take-home pay into a savings account. If he deposited $ 37.50, what was last week’s take-home pay?.15 = 1 37.50 x.15 x = 37.50 x = 37.50 = 250.15.15 = 1 37.50 x.15 x = 37.50 x = 37.50 = 250.15SAT

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23.What is the area of the triangle in this figure ?SAT ( 2, 3 ) ( 4, 0 )( –2, 0 ) Area of Triangle = 1/2 b h A = 1/2 ( 6 ) ( 3 ) A = 9 Area of Triangle = 1/2 b h A = 1/2 ( 6 ) ( 3 ) A = 9

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24. A square is divided in half to form two congruent rectangles, each with a perimeter 25. What is the area of the original square ? A = x 2 SAT x x x x x x ½ x 24 = 2 x + 2 ( ½ x) 24 = 2 x + x 24 = 3 x 8 = x 24 = 2 x + 2 ( ½ x) 24 = 2 x + x 24 = 3 x 8 = x A = 8 2 = 64

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Sec. 6–2 Similar Polygons. Figures that are similar (~) have the same shape but not necessarily the same size. Angles are congruent, Sides are proportional.

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