1. -3 92. -3 -273. (2) 24. (6sqrt3) x (2sqrt5) = (6 x 2)(sqrt3 x sqrt5) =

12sqrt155. (12sqrt15) / (2sqrt5) = (12/2) x (sqrt15 / sqrt5) =

6sqrt36. (a^-1)/a^5 1/a^67. (x-y)(x+y) x-y8. (x-y) x-2xy+y9. (x^2)^4 x^(2(4)) =x^8 = (x^4)^210. (x+y) x+2xy+y11. divided by 7 12. Is EVEN13. is A multiple of every integer14. is Even15. is a multiple of Two (2=)16. is a multiple of Every number17. Is neither Positive or Negative18. 19. 0^0 undefined20. 1 is a divisor of every number21. 1 is an ODD number22. 1 is the smallest positive integer23. 1/2 divided by 3/7 is the

same as1/2 times 7/3

24. 1/6 in percent? 16.6666%25. 1/8 in percent? 12.5%26. 1 127. 2 is the only Even prime number28. 27 (2x7)29. 2/2 230. 2+2 231. 3 is the opposite of -332. 3/8 in percent? 37.5%

33. 5 bakeries sell an average of 300 muffins perbakery per day. If 2 stop making muffins butthe total muffins sold stays the same, what isthe average of muffins per bakery sold amongthe remaining?

500

34. 5/6 in percent? 83.333%35. 5/8 in percent? 62.5%36. 5x^2 - 35x -55 = 0 [(7+

sqrt93)/2], [(7 -sqrt93) /2]

37. 6w^2 - w - 15 = 0 -3/2 ,5/3

38. 7 divided by Null39. 7/8 in percent? 87.5%40. 8.84 / 5.2 1.741. 10^6 has how many zeroes? 642. 10

60. a^2 - b^2 (a - b)(a + b)61. a^2 - b^2 = (a - b)(a + b)62. a^2 + 2ab + b^2 (a + b)^263. ab then a - b ispositive ornegative?

a-b is positive

65. An Angle that's180

Straight Angle

66. Any Horizontalline slope

zero

67. Area of a circle (pi)r68. Area of a

Parallelogram:

A=(base)(height)69. Area of a

triangle?(base*height) / 2

70. b 171. b bbb (where b is used as a factor n

times)72. Can you add sqrt

3 and sqrt 5?No, only like radicals can be added.

73. Can you simplifysqrt72?

Yes, because you can factor out a perfectsquare (36). Sqrt(36 x 2) = sqrt36 X sqrt2= 6sqrt2.

74. Can you subtract3sqrt4 fromsqrt4?

Yes, like radicals can beadded/subtracted.

75. Circumferenceof a circle

pi(diameter)

76. Circumferenceof a circle

2(pi)r

77. Circumferenceof a circle?

Diameter(Pi)

78. Consecutiveintegers

x, x+1, x+2

79. Convert 0.7% toa fraction.

7 / 1000

80. Define a"monomial"

An expression with just one term (-6x,2a^2)

81. Define a "term", A term is a numericalconstant or theproduct (or quotient)of a numericalconstant and one ormore variables. (3x,4x^2 and 2a/c)

82. Define an "expression". An algebraicexpression is acombination of one ofmore terms. Terms inan expression areseparated by eitheraddition orsubtraction signs.(3xy, 4ab, -5cd, x^2 +x - 1)

83. THE DENOMINATOR CANNEVER

BE ZERO! 1/=null

84. Distance (rate)(time) d=rt85. Dividing by a number is the same

as multiplying it by itsReciprocal

86. Employee X is paid 19.50 perhour no matter how many a week.Employee Y earns 18 for the first40 and 1.5 the hourly wage forevery hour after that. If bothearned the same amount andworked the same in one week,how many did each work?

48

87. Evaluate (4^3)^2 409688. Evaluate 3& 2/7 / 1/3 9 & 6/789. Evaluate 4/11 + 11/12 1 & 37/13290. Evaluate and write as a mixed

number: 2/7 - 3/21 + 2 & 4/142 & 3/7

91. Factor a^2 + 2ab + b^2 (a + b)^292. Factor x^2 - xy + x. x(x - y + 1)93. For any number x Can be negative, zero,

or positive94. For similar triangles, the ratio of

their corresponding sides is 2:3.What is the ratio of their areas?

4:9. The ratio of theareas of two similartriangles equals thesquare of the ratio ofthe correspondingsides.

95. For what values should thedomain be restricted for thefunction f(x) = sqrt(x + 8)

-8

96. formula for distance problems distance=ratetime ord=rt

97. Formula for the area of a circle? A = pi(r^2)98. Formula for the area of a sector of a

circle?Sector area =(n/360) X(pi)r^2

99. Formula to calculate arc length? Arc length =(n/360) x pi(2r)where n is thenumber ofdegrees.

100. Formula to find a circle'scircumference from its diameter?

C = (pi)d

101. Formula to find a circle'scircumference from its radius?

C = 2(pi)r

102. The four angles around a pointmeasure y, 2y, 35 and 55 respectively.What is the value of y?

90

103. Hector invested $6000. Part wasinvested in account with 9% simpleannual interest, and the rest inaccount with 7% simple annualinterest. If he earned $490 in thefirst year of these investments, howmuch did he invest in each account?

$3,500 in the 9%and $2,500 inthe 7%.

104. How do you solve proportions?a/b=c/d

Crossmultiplication a/b=c/d 4/6=10/154(15)=6(10)60=60

105. How many digits are there betweenthe decimal point and the first evendigit in the decimal equivalent of1/[(2^8)(5^3)]

0

106. How many multiples does a givennumber have?

Infinite.

107. How to determine percent decrease? (amount ofdecrease/originalprice) x 100%

108. How to find the circumference of acircle which circumscribes a square?

Circumference =Diameter(pi).Use pythagoreantheorem to findthe diagonal ofthe square (thediameter).

109. If 4500 is invested at a simpleinterest rate of 6%, what is the valueof the investment after 10 months?

4725

110. If 10800 is invested at a simpleinterest rate of 4%, what is the valueof the investment after 18 months?

$11,448

111. If a is negative and n is even then ais (positive or negative?)

a is positive

112. If a is positive, a is Positive113. If a lamp decreases to $80, from

$100, what is the decrease in price?= (actualdecrease/Originalamount) x100%= 20/100x100%= 20%

114. If a lamp increases from $80 to$100, what is the percent increase?

= 25%. = (actualincrease/originalamount) x 100%= 20/80 x 100%= 1/4 x 100% =25%

115. If a pair of parallel lines is cut by atransversal that's notperpendicular, the sum of any acuteangle and any obtuse angle is

180Acute Angle anangle that is lessthan 90ObtuseAngle:angle thatis greater than90 but less than180

116. If a product of two numbers is ,one number must be

117. If a

128. Legs 5, 12. Hypotenuse? 13129. Legs 6, 8. Hypotenuse? 10130. Legs: 3, 4. Hypotenuse? 5131. A number is divisible by 3 if

...the sum of its digits isdivisible by 3.

132. A number is divisible by 4is...

its last two digits aredivisible by 4.

133. A number is divisible by 6if...

its divisible by 2 and by 3.

134. A number is divisible by 9if...

the sum of digits is divisibleby 9.

135. Number of degrees in atriangle

180

136. One is (a prime or not?) NOT A PRIME137. The only number that is

equal to its opposite =

138. P and r are factors of 100.What is greater, pr or 100?

Indeterminable.

139. The percent decrease of aquantity

= (actual decrease/Originalamount) x 100%

140. The Perimeter of arectangle

P=2(l+w)

141. The Perimeter of a Square P=4s (s=side)142. The perimeter of a square

is 48 inches. The length ofits diagonal is:

12sqrt2

143. Pi is a ratio of what towhat?

Pi is the ratio of a circle'scircumference to itsdiameter.

144. Positive integers that haveexactly 2 positive divisorsare

Prime numbers (2, 3, 5, 7,11, 13, 17, 19, 23)

145. Probability of an Event P(E) = number of favorableoutcomes/total number ofpossible outcomes

146. Probability of E notoccurring:

1 - P(E)

147. Probability of Event allcases

P(E)1

148. Product of any number and is

149. The product of any numberx and its reciprocal

1

150. The product of odd numberof negative numbers

Negative

151. Rate d/t (distance)/(time)

152. Ratio of ages of Anna andEmma is 3:5 and of Emma andNicolas is 3:5. What is the ratioof Anna to Nicholas' ages?

9 : 25

153. The reciprocal of any non-zero#x is

1/x

154. The reciprocal of any non-zeronumber is

1/x

155. Reduce: 4.8 : 0.8 : 1.6 6 : 1 : 2156. Simplify (a^2 + b)^2 - (a^2 -

b)^24a^2(b)

157. Simplify 4sqrt21 X 5sqrt2 /10sqrt7

2sqrt6

158. Simplify 9^(1/2) X 4^3 X 2^(-6)?

3

159. Simplify the expression (p^2 -q^2)/ -5(q - p)

(p + q)/5

160. Simplify the expression [(b^2 -c^2) / (b - c)]

(b + c)

161. Slope y-y/x-x162. Slope of any line that goes down

as you move from left to right isNegative

163. Slope of any line that goes upfrom left to right

Positive

164. Solve the quadratic equationax^2 + bx + c= 0

x = [(-b)+/- (sqrt b^2 -4ac)]/2a

165. The sum of all angles around apoint

360

166. T or F? Given d,e &f =/ 0,[(d^3)e(f^5)] / 2d(e^3) /[3(d^2)(e^3)(f^7)] /[6(e^5)(f^2)]?

True

167. Time (distance)/(rate) d/r168. To decrease a number by x% multiply by 1-x%

i.e. 100 x (1-50%)=100x.5=50

169. To increase a number by x% multiply by 1+x%i.e. 100 x(1+50%)=100x1.5=150

170. To multiply a number by 10^x move the decimal pointto the right x places

171. True or false? 4.809 X 10^7 =.0004809 X 10^11

True

172. Vertical lines Do not have slopes!173. Volume of a cube edge174. Volume of a rectangular solid (length)(width)(height)175. What are "supplementary

angles?"Two angles whose sumis 180.

176. What arecomplementaryangles?

Two angles whose sum is 90.

177. What are congruenttriangles?

Triangles with same measure andsame side lengths.

178. What are the integers? All numbers multiples of 1.179. What are the

irrational numbers?All real numbers which can't beexpressed as a ratio of twointegers, positive and negative (pi,-sqrt3)

180. What are the rationalnumbers?

All numbers which can beexpressed as a ratio of twointegers. (All integers andfractions.) (-2, 1, .25, 1/2)

181. What are the realnumbers?

All the numbers on the numberline (negative, rational,irrational, decimal, integer). Allthe numbers on the GRE are real.(-2, 1, .25, 1/2, pi)

182. What are the roots ofthe quadrinomial x^2+ 2x + 1?

The two xes after factoring.

183. What are the smallestthree prime numbersgreater than 65?

67, 71, 73

184. What does scientificnotation mean?

Expressing a number as theproduct of a decimal between 1and 10, and a power of 10.

185. What is a centralangle?

A central angle is an angle formedby 2 radii.

186. What is a chord of acircle?

A chord is a line segment joiningtwo points on a circle.

187. What is a major arc? The longest arc between points Aand B on a circle's diameter.

188. What is a minor arc? The shortest arc between points Aand B on a circle's diameter.

189. What is a tangent? A tangent is a line that onlytouches one point on thecircumference of a circle.

190. What is an arc of acircle?

An arc is a portion of acircumference of a circle.

191. What is an isocelestriangle?

Two equal sides and two equalangles.

192. What is it called whena point is reflected tothe quadrant oppositeit (i.e. I to III or II toIV)?

A reflection about the origin.

193. What is the "domain"of a function?

The set of input values for afunction.

194. What is the "range" of afunction?

The set of output valuesfor a function.

195. What is the "range" of a seriesof numbers?

The greatest valueminus the smallest.

196. What is the "solution" for a setof inequalities.

The overlappingsections.

197. What is the "solution" for asystem of linear equations?

The point ofintersection of thesystems.

198. What is the coefficient of thex^2 term in the product of (x +1)(x + 2)(x -1)?

2

199. What is the common monomialfactor in the expression4(c^3)d - (c^2)(d^2) + 2cd?

cd

200. What is the graph of f(x)shifted downward c units orspaces?

f(x) - c

201. What is the graph of f(x)shifted left c units or spaces?

f(x + c)

202. What is the graph of f(x)shifted right c units or spaces?

f(x-c)

203. What is the graph of f(x)shifted upward c units orspaces?

f(x) + c

204. What is the maximum value forthe function g(x) = (-2x^2) -1?

-1

205. What is the order ofoperations?

PEMDAS (ParenthesesExponentsMultiplication/DivisionAddition/Subtraction)

206. What is the ratio of the sides ofan isosceles right triangle?

1:1:sqrt2

207. What is the ratio of the surfacearea of a cube with an edge of 10to the surface area of arectangular solid withdimensions 2, 4, and 6?

75:11

208. What is the set of elementsfound in both A and B?

The interesection of Aand B.

209. What is the slope of ahorizontal line?

0

210. What is the slope of a verticalline?

Undefined, because wecan't divide by 0.

211. What is the sum of the angles ofa triangle?

180 degrees

212. What number between 70 & 75,inclusive, has the greatestnumber of factors?

72

213. What percent of 40 is 22? 55%

214. What transformation occurs if point C is reflected overthe x-axis and then the y-axis?

A reflection about the axis.

215. Whats the difference between factors and multiples? Factors are few, multiples are many.216. When does a function automatically have a restricted

domain (2)?When we need to avoid having a zero in the denominator or avoidtaking the square root of a number.

217. Which is greater? 64^5 or 16^8 16^864^5 = (4^3)^5 = 4^1516^8=(4^2)^8 = 4^16

218. Which quadrant is the lower left hand? III219. Which quadrant is the upper left hand? II220. Which quadrant is the upper right hand? I221. Which quandrant is the lower right hand? IV222. Write 10,843 X 10^7 in scientific notation 1.0843 X 10^11223. X is the opposite of -X224. x^2 = 9. What is the value of x? 3, -3225. x^4 + x^7 = x^(4+7) = x^11226. x^6 / x^3 x^(6-3) = x^3

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