UBMS MATH INSTRUCTION Rahul Raghunathan

Tips for taking the ACT Test Pace yourself Use calculator wisely Use scratch paper given to solve problem Locate the solution among the answers Check if your answer is complete and then mark your answer Make sure answer is reasonable Check for your work

Breakdown of ACT Math Pre-algebra -23% Elementary algebra - 17% Intermediate algebra -15% Coordinate geometry - 15% Plane geometry - 23% Trigonometry – 7%

Pre-algebra Fractions, decimals, square roots, factors, ratios, linear equations

Sample problem 1 Given the equation which of the following best represents y in terms of x? 1.Y =x/2 2.Y = 2/x 3.y = x/16 4.Y = /x

Elementary Algebra Properties of exponents, square roots, evaluation of algebraic equations through substitutions, quadratic equations

Sample problem 2 Solve 6x 2 +11x /2,5/3 2.8,1/2 3.7/2,5,3 4.2,6

Intermediate Algebra Quadratic formula, rational and radicals, sequences, quadratic inequality

Sample problem 3 Which one of the following quadratic function does not have zeros of -15 and 6 1.f(x) = 1/3x 2 +3x-30 2.f(x) =-x 2 -9x+90 3.f(x) =-2/3x 2 -6x+60 4.f(x)= -x 2 -9x-90

Co-ordinate Geometry Graphing, relations between equations, slope etc

Sample problem 4 If the graph of the function f is

Then what is the graph of f -1?

Plane geometry Based on properties of figures, angles, perpendiculars, properties of circles, etc

Sample problem 5 In the figure below FH is parallel to AD and BE is parallel to GC and <HGC = 58 ⁰ find <ABE

Options 1.32 ⁰ 2.58 ⁰ ⁰ 4.148⁰

Trigonometry Trigonometric functions, properties, trigonometric identifies

Sample problem 6 What is the length of the path up the hill