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501 Quantitative comparability Questions is helping arrange scholars for key educational flair tests-including the PSAT/NMSQT, the SAT, and the GRE-which characteristic a quantitative comparability part in the math component to the examination. 501 Quantitative comparability Questions is designed to assist scholars arrange for this really expert math part, mastery of that is crucial for recognition to fascinating faculties and jobs. by way of finishing the routines during this booklet, scholars can elevate their math wisdom and achieve familiarity with really good questions had to ranking excessive. The booklet positive factors whole solutions, each one with an entire rationalization
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10 A 5 B -5 5 -5 193. the x-coordinate of point A the x-coordinate of point B 194. 1 the slope of line AB 33 10 501 Quantitative Comparison Questions Column A Column B Use the following ﬁgure to answer questions 195–196. 5 (-3,0) B (0,0) A -5 5 C (0,4) -5 195. 5 the length of segment BC 196. the area of triangle ABC 12 197. A circle with center at the origin passes through the point (0,8). 4 the radius of the circle 198. the slope of the line that 2 passes through the points (1,2) and (2,4) 34 501 Quantitative Comparison Questions Column A Column B Use the following ﬁgure to answer questions 199–200.
127. 1 ᎏᎏ7 a 1 ᎏ10 ᎏ a 128. (a4)2 a8 129. 33 9 a is an integer. 130. a2a3 3 a6 1 (ᎏ12ᎏ)2 131. (ᎏ4ᎏ)2 − (ᎏ4ᎏ)2 4x = 64 132. 4 x 212 = 8x 133. 3 x a<0 134. a 2 a9 y = 5x x is a positive integer. 135. 5x + 1 5y x>0 136. 2x2 + 5x + 4 (2x + 4)(x + 1) 137. x2 − 4x − 21 = 0 sum of the roots 138. product of the roots The prom committee orders an arch for the entrance to the dance ﬂoor. 1x2 where y is the height of the arch, in feet. maximum arch height 10 feet 27 501 Quantitative Comparison Questions Column A Column B x<0 139.
B. Four to the x power means that 4 is multiplied by itself “x” times. By trial and error, 4 × 4 × 4 = 64, so x is equal to 3. Choice B is greater. 133. b. For exponential equations, you must ﬁrst rewrite the equation to have the same bases when possible. Since 2 × 2 × 2 = 8, 23 = 8. Two is the common base. Rewrite the equation as 212 = (23)x. By the laws of exponents, (23)x = 23x. The equation is now 212 = 23x. Since the bases are now the same, this becomes a 41 501 Quantitative Comparison Questions simple equation to solve, by setting the exponents equal to each other: 12 = 3x.