Dr chung 63tips 16tests

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Dr John Chung”s Fifth Edition SAT Math 16 Complete Tests SAT isa registered trademark of the College Entrance Examination Board, which is not involved in the productionc jor r COPYRIGHT BY DR JOHN CHUNG Dr John Chung”s SAT MAT Fifth Edition Good Luck! Copyright by Dr John Chung Made in the USA Copyright by Dr John Chung-2018 Made in the USA ————' CONTENTS 63 TIPS TIP 01 Linear Function Page 008 Page 012 TIP 02 | Rate of Change Page 014 TIP 03 Parallel and Perpendicular Lines Page 015 TIP 04 | Midpoint and Distance between Two Points Page 016 Page 018 TIP 05 | System of Linear Equations Page 019 Page 020 TIP 06 =| Area enclosed by Lines Page 022 Page 023 TIP 07 | Line Reflection Page 025 TIP 08 =| Quadratic Function Page 026 Page 027 TIP 09 = | System of Linear and Quadratic Equations Page 028 TIP 10 | System of Linear Inequalities Page 029 Page 030 TIP 11 System of Linear and Quadratic Inequalities Page 031 Page 032 TIP 12 Area enclosed by Curves Page 033 TIP 13 Domain and Range Page 034 TIP 14 | Composition of Function Page 035 TIP 15 | Function Undefined Page 036 TIP 16 | Identical Equation Page 037 TIP 17 | Even and Odd Functions Page 038 TIP 18 | Factoring Page 039 Page 040 TIP 19 Direct Variation (Direct Proportion) Page 041 TIP 20 | Inverse Variation TIP 21 Sum and Product of the Roots of a Quadratic Equation TIP 22 | Remainder Theorem TIP 23 | Factor Theorem TIP 24 Circle in the xy-plane TIP 25 | Average Speed TIP 26 | Percentage TIP 27 Ratios and Proportion ——————n CONTENTS Cc TIP 28 | Ratios in Similar Figures Page 42 Page 44 TIP 29 | Percent ofa Solution (Mixture) Page 45 TIP 30 | Exponents Page 46 TIP 31 | Exponential Growth and Decay Factor Page 47 TIP 32 | Defined Operations Page 48 TIP 33 | Functions as Models Page 49 TIP 34 | Combined Rate of Work Page 50 TIP 35 | Combined Range of Two Intervals Page 51 TIP 36 | Absolute Value Page 53 TIP 37 | Parallel Lines with Transversal Page 60 TIP 38 | Triangle Inequality Page 61 TIP 39 | Ratio of areas of Triangles with the same height Page 63 TIP 40 | Special Right Triangle Page 64 TIP 41 | Proportions in a Right Triangle Page 65 TIP 42 | Pythagorean Theorem Page 66 TIP 43 | Transformation Page 68 TIP 44 | Classifying a Group in two different ways Page 69 TIP 45 | Discriminant Page 70 TIP 46 | Handshakes TIP 47 | Consecutive integers E72 TIP 48 | Complex Numbers TIP 49 | Circles TIP 50 | Trigonometric Function and Cofunction TIP 51 | Asymptote TIP 52 | Probability TIP 53 | Geometric Probability TIP 54 | Data Interpretation Tip 55 | Box-and-Whisker Plot Tip 56 | Linear Correlation Coefficient Tip 57 | Scatter Plot and a Line of best fit Tip 58 | Standard Deviation Tip 59 | Two-way frequency table Tip 60 | Two-way relative frequency table Tip 61 | Statistical Study and Sample Technics Tip 62 | Confidence Interval and Margin of Error Tip 63 | Solid CONTENTS _——— ] Tips Answ s and Explanations: Page 87 Page 111 Page 145 Practice Tests Page 173 Page 201 Practice Test 01 Page 231 Practice Test 02 Page 261 Practice Test 03 Page 291 Practice Test 04 Page 415 Practice Test 05 Page 445 Page 473 Practice Test 06 Page 503 Practice Test 07 Page 533 Practice Test 08 Page 561 Practice Test 09 Practice Test 10 Practice Test 11 Practice Test 12 Practice Test 13 Practice Test 14 Practice Test 15 Practice Test 16 Dr John Chung’s SAT Math 63 TIPS cD Linear Function The functions are called “linear” because they are precisely the functions whose graph in the xy-pl ane is a straight line Such a function can be written as 1) Slope-intercept form f(x) =mx-+b, where m is the slope and ở is the y-intercept, 2) Point-slope form yon m(x— x,), where (x;,),) is the known point on the line 3) General form ax+by+c=0 4) Standard form ay+bp=e Note: The slope between any two points on the line is constant Note: Ay £8)—45) Ty, = Fm) 4 = s(n] Notation of a point: 1) x and y coordinates: P(x 2) P(x, f(x) 3) f) y Example means a point(—3 f(3) SAT Practice 1, Fora linear function f, f(0)=2 and f(3)=5 If 2 The table above shows some values for the function f If f isa linear function, what is the value of k= (5), what is the value of k? a+b? A) 24 A)S B) 36 B) 6 ©) 48 €)7 DB) s D) 60 3 Allinear function is given by ax+dy+c=0 and @>0,b0 Whicofhthe following graphs best represents the graph of the function? A) „+ B) x oO ©) tý D) + 4 If f isa linear function and f(3)=2 and ƒ(S)=6, what is the y-intereepL ofthe graph of /? A) 4 B) 2 €) -2 D) -4 6 The graph ofa function f is shown in the above If b = 2a, what is the value of a? A B) >5 15 ) l u 4 C) — 13 5 If/ isalinearfunctionand ƒ@)=-2 and ƒ(4)=~—4, what is the x-intercept of the graph of / ? A)3 B) 2.5 @ 2 D) 0 Dr John Chung's SAT Math 63 Tips x [f((xx) , 3» -1| 6 P(8,) 0| 4 1 2 5 x 2 0 - 7 The table above shows some values of the linear function ƒ' for selected values of x Which of the 10 In the +y-plane above, a circle is tangent to lìne following represents the function /? A) /@)=4-x , the x-axis, and the y-axis, If the radiofutshe B) f(x) =4-2x circle is 5, what is the value of 1? €) /@)=4+2x A)7 D) /(x)=4+x B)8 €9 D) 10 'cusa 11 If / isa linear function and (3) =6 and 5 (C) are related by the = 12, what is the slope of the graph of 8 Fahrenheit (F) and Celsius A)2 equation above If Fahrenheit temperature increased B)3 by 27 degrees, what is the degree increase in Celsius? G4 D) 5 A) 15 B) 20 C) 32 D) 81 9 Inthe formula P= K +60, iPfis increased by 35, 12 Inthe xy-plane above, line£ passes through point ? and has a slope of — + What isthe x-intercept of what is the increase in K? line /? A) 35 B) 60 A) (4,0) B)(50) O(60) D)(7,0) © 80 D) 140 10