SAT Math Questions Test Prep Exam With All Correct Answers Guaranteed Pass.

What is the order of operations? - correct answer Parentheses, exponents, multiplication, division, addition, subtraction What are natural numbers? - correct answer All whole numbers except for 0 How to determine if a number is prime - correct answer Approximate a square root, then try to divide the number by all prime numbers below the approximated root What are relatively prime numbers? - correct answer The greatest common factor is 1, but the numbers are not necessarily prime. Formula for calculation exponential growth - correct answer final amount = original amount x (1+growth rate)^number of changes Supplementary angles add up to - correct answer 180° Complimentary angles add up to - correct answer 90° What is the triangle inequality rule? - correct answer The length of a side of a triangle is less than the sum of and greater than the difference of the other two sides. Scalene triangle - correct answer No equal sides and no equal angles Isosceles Triangles - correct answer Two sides and two angle are equal 30-60-90 triangle - correct answer Hypotenuse is 2x, short side is x, long side is x√3 45-45-90 triangle - correct answer Hypotenuse is x√2, and the sides are x. What is the sum of the interior angles for a polygon with n sides? - correct answer (n-2)180 Formula for the area of a trapezoid - correct answer A = ((s₁ + s₂)h) / 2 How can you determine the arc degree or central angle of an inscribed angle? - correct answer Multiply the inscribed angle by 2 Formula for arc length - correct answer Arc length equals = (degree of the arc / 360)(circumference) Formula for the area of a sector - correct answer A = (degree of the arc / 360)(area of a circle) Formula for the diagonal length of a rectangular prism - correct answer d = √(l²+w²+h²) Formula for the diagonal length of a cube - correct answer d= s√3 Formula for the volume of a cone - correct answer V= (1/3)(πr²h) Surface area of a cone - correct answer SA = πr² +πrl Volume of a pyramid - correct answer V = (1/3)bh Volume of a sphere - correct answer V = (4/3)πr³ Surface area of a sphere - correct answer SA = 4πr² If the point for a line is given as (x₁, y₁), write the equation for the line in point-slope form. - correct answer y-y₁ = m(x-x₁) Standard form of the equation of a parabola. - correct answer y = a(x-h)² + k, where the vertex is (h,k) If the general parabola equation is y = ax²+bx+c, what is the vertex of the parabola - correct answer x = -b/2a y= c - (b²/4a) Standard form equation for circle - correct answer (x-h)² + (y-k)² = r², where (h,k) is the center of the circle In an ellipse, where are the foci? - correct answer between the vertex and the minor axis on the major axis Standard form equation for an ellipse - correct answer (x-h)²/a² + (y-k)²/b² = 1, where (h,k) is the center of the ellipse, the length of the horizontal axis is 2a, the length of the vertical axis is 2b, if ab, the horizontal axis is the major axis. Standard form for a hyperbola that opens to the sides - correct answer (x-h)²/a² - (y-k)²/b² = 1 Standard form for a hyperbola that opens vertically - correct answer (y-k)²/a² - (x-h)²/b² = 1 Two vectors are perpendicular if - correct answer Their dot product = 0 How to find the distance between two points in 3d plane? - correct answer Square the differences between each coordinate, then square root the sum What is the form of a polar coordinate? - correct answer (r, θ), where r is the distance from the origin and θ is the angle from the positive x-axis How can multiple polar coordinates be made? - correct answer Adding or subtracting 180 to θ and reversing the sign of r. What are the conversion equations for polar coordinates to normal coordinates? - correct answer x=rcosθ y=rsinθ Where is tangent positive/negative? - correct answer Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4 Pythagorean Identities - correct answer sin²x+cos²x = 1 sec²x = 1+tan²x csc²x = 1+cot²x Double Angle Formulas - correct answer sin2x= 2sinxcosx cos2x = cos²x − sin²x = 2cos²x − 1 = 1 − sin²x Sum of 2 Angles Formulas - correct answer sin(a+b) = sin(a)cos(b) + sin(b)cos(a) cos(a+b) = cos(a)cos(b) - sin(a)sin(b) tan(a+b) = [tan(a) + tan(b)] / [1-tan(a)tan(b)] Difference between 2 Angles formulas - correct answer sin(a-b) = sin(a)cos(b) - sin(b)cos(a) cos(a-b) = cos(a)cos(b) + sin(a)sin(b) tan(a-b) = [tan(a) - tan(b)] / [1+tan(a)tan(b)] Law of Cosines - correct answer c² = a² + b² - 2abcos(C) If a function is of the nth degree, what is the maximum number of extreme bumps it can have? - correct answer n-1 Define an even function. - correct answer f(x) = f(-x) Define an odd function. - correct answer f(x) = -f(-x) How many ways can n elements be ordered? - correct answer n! Permutation formula (ordering) - correct answer nPr = n! / (n-r)! Combination formula - correct answer nCr = nPr / r! = n! / (n-r)!r! Formula for arithmetic sequence - correct answer an = a₁ + (n-1)d Formula for geometric sequence - correct answer an = a₁rⁿ⁻¹ Sum of finite geometric series - correct answer ∑ of n terms = a₁ (1-rⁿ/1-r) Sum of n terms of an arithmetic sequence - correct answer ∑ = (n/2)(a₁ + an) Sum of infinite geometric series - co