The gre anlytycal writting section 2 pptx

... additional $27 to buy new wheels for it. She then sold the skateboard for $ 120 . the money Ida received in excess of the total amount she spent $20 3. xy 4. 2( 2) (–5) (0)(3)(9) x° z° y° l 1 l 2 l 1 ... – 1 9. the area of the shaded 9 rectangular region 10. x 2 y Ͼ 0 xy 2 Ͻ 0 xy 2 R V S T U 4 3 Q R S P V T The length of the sides in squares PQRV and VRST is 6. – T...

Ngày tải lên: 07/08/2014, 13:21

... values of the numbers. 2. Keep the sign of the number with the larger absolute value. Examples: 2 + 3 = Subtract the absolute values of the numbers: 3 – 2 = 1. The sign of the number with the larger ... remainder. Example: 12 ϫ 3 = 4 The number 3 is, therefore, a factor of the number 12. Other factors of 12 are 1, 2, 4, 6, and 12. The common factors of two num...

Ngày tải lên: 07/08/2014, 13:21

... right angle A B C – THE GRE QUANTITATIVE SECTION 144 T his chapter will help you prepare for the Quantitative section of the GRE. The Quantitative sec- tion of the GRE contains 28 total questions: ■ 14 ... time on any one question. These time management strategies apply to the Verbal section of the GRE; they also will serve you well on the Quantitative portion of...

Ngày tải lên: 07/08/2014, 13:21

... add the exponents. Examples: 2 2 ϫ 2 4 ϫ 2 6 ϭ 2 12 a 2 ϫ a 3 ϫ a 5 ϭ a 10 ■ When dividing identical bases, you subtract the exponents. Examples: ᎏ 2 2 5 3 ᎏ = 2 2 ᎏ a a 7 4 ᎏ = a 3 Here is another ... that the number 3 is the square root of the number 9. The symbol for square root is ͙ ෆ and is called the radical. The number inside of the radical is called t...

Ngày tải lên: 07/08/2014, 13:21

... variable. Example: Solve for x. 2x + 4y = 12 To isolate the x variable, move the 4y to the other side. –4y = –4y 2x = 12 – 4y Then divide both sides by the coefficient of 2. ᎏ 2 2 x ᎏ = ᎏ 12 2 –4y ᎏ Simplify ... (1)(10) = 21 x 2 + 30x + 7x + 10. After combining like terms, the answer is: 21 x 2 + 37x +10. Factoring Factoring is the reverse of multiplication: 2( x +...

Ngày tải lên: 07/08/2014, 13:21

... at all. Check: 2x 2 – x – 6 = 0 2( 2) 2 – (2) – 6 = 0 or 2( ᎏ – 2 3 ᎏ ) 2 – ( ᎏ – 2 3 ᎏ ) – 6 = 0 2( 4) – 8 = 0 2( ᎏ 9 4 ᎏ ) – 4 ᎏ 1 2 ᎏ = 0 8 – 8 = 0 4 ᎏ 1 2 ᎏ – 4 ᎏ 1 2 ᎏ = 0 Therefore, both ... choose: 2p + q = 11 becomes q = 11 – 2p ■ Second, substitute 11 – 2p for q in the other equation and solve: p + 2( 11 – 2p) = 13 p + 22 – 4p = 13 22 – 3p = 13 22 = 13 + 3...

Ngày tải lên: 07/08/2014, 13:21

... number. Example: If 7 – 2x Ͼ 21 , find x. ■ Isolate the variable: 7 – 2x Ͼ 21 –7 –7 –2x Ͼ 14 ■ Because you are dividing by a negative number, the inequality symbol changes direction: ᎏ – – 2 2 x ᎏ Ͼ ᎏ – 14 2 ᎏ x ... “less than” and “more than.” Examples: The product of x and 6 is greater than 2. x ϫ 6 Ͼ 2 When 14 is added to a number x, the sum is less than 21 . x ϩ 14 Ͻ 2...

Ngày tải lên: 07/08/2014, 13:21

... m 2 + m∠3 = 180° 3 2 1 – THE GRE QUANTITATIVE SECTION 184 Example: mЄ1 = mЄ3 + mЄ5 mЄ4 = m 2 + mЄ5 mЄ6 = mЄ3 + m 2 ■ The sum of the exterior angles of a triangle equal to 360 degrees. Triangles More ... complimentary if the sum of their measures is equal to 90 degrees. 1 2 ∠1 + m 2 = 90° Complementary Angles m Straight Angle 180° Obtuse Angle Right Angle Symbol – THE GR...

Ngày tải lên: 07/08/2014, 13:21

... therefore, the hypotenuse is two times the length of the leg opposite the 30-degree angle.) ■ The leg opposite the 60-degree angle is 3 times the length of the other leg. 10 2 ෆ ᎏ 2 2 ෆ ᎏ 2 10 x x 2 ෆ ᎏ 2 45° 45° – ... represent the length of the legs and c reprecents the length of the hypotenuse. This theorem allows you to find the length of any side as lon...

Ngày tải lên: 07/08/2014, 13:21