Nova's GMAT Math Prep Course

compare the GMAT and SAT math sections, which rely on basic high school algebra and geometry with no proofs, and emphasize solving with short, simple solutions.

Plug an odd integer, such as 1, into the answer choices to test for even results, and find that only choice d yields an even result (4) and is correct.

solve a substitution problem by taking square roots to find x = 2 or -2, identify x as even, eliminate choices, and select B in nova's GMAT math prep course.

Apply the substitution (plugging in) method to a GMAT math problem by testing answer choices to see which yields one. Eliminate wrong options and identify B as the correct answer.

Use the pythagorean theorem on a right triangle, solve for height as four, compute the area as one half base times height, yielding six and selecting answer a.

Use cross-multiplication to compare fractions and determine that 15/16 is greater than 7/9. Apply the technique to all choices and conclude that option a is the largest.

Solve a proportion in GMAT math prep by equating (1/5)/(1/4) to (1/4)/x, apply reciprocals and cross-multiplication, and find x = 5/6.

Identify that A is irrelevant and b controls the expression; raising the negative y to the fourth power keeps the negative sign, yielding -y^4 as the answer.

Solve a GMAT math problem by converting the point (0,4) to a fraction, inverting and multiplying to obtain 100/96, which reduces to 25/24, and the answer is a.

examine how squaring and square roots affect fractions between zero and one, compare five sixths and six fifths, and determine that statement 3 is false, yielding option a.

Follow an example of substituting x with 2 and y with 3 in the right side of a formula to derive the result and confirm the answer is B.

Explore how find functions simplify a problem with leading terms like z squared, where expressions divided by themselves equal one, leading to answer B.

Apply a two-part definition to determine whether u and v are odd or even by contradiction, show u is odd and v is even, then compute a difference of five.

This example clarifies that the first element is the base and the second is the exponent, explores negative exponents via reciprocals, and shows which choices are true or false.

Identify GMAT math problem where zero sits at X's position, one at Y's position, and A at Z's position, concluding a equals zero by multiplying by negative one, yielding C.

Solve defined functions problem 6 by simplifying and combining like terms, adding x^2 to both sides, then taking the square root to find x = sqrt(2).

Nova's GMAT math prep course tests prime pairs for x and y with a difference of 1, then applies elimination to conclude the answer is B.

Explore solving an equation with absolute value and sign changes to determine x equals 3, revealing the correct choice in a GMAT number theory example.

Apply odd and even forms to a GMAT number theory problem, express M as 2x+1 and N as 4v+3, sum them to show an even result, confirming choice C.

Identify cube numbers between 2 and 200 (8, 27, 64, 125); determine which are squares, and see that only 64 is a perfect square, so x equals 64.

Identify the smallest prime greater than 53 by testing consecutive numbers and eliminating composites; conclude that 59 is the first prime after 53, option D.

Compute the arc length by using the circumference 2 pi r with r = 2 to get 4 pi, then 60° is 1/6 of the circle, giving 2/3 pi.

Examine how the square's diagonal relates to a circle's radius, given the radius is 2, so SP also has length 2, and conclude that the answer is D.

Identify that four arcs with centers at the vertices form a circle of radius three inside a six‑inch square; subtract 9 pi from 36 to get shaded region, answer c.

Extend horizontal lines to reveal parallel lines and apply interior angle sums. Identify A as 29 degrees via alternate interior angles and B as 90 degrees, totaling 119.

Recognize an isosceles triangle with two 59-degree angles, deduce the third angle is 62 degrees, and conclude the side opposite the largest angle (PQ) is the longest, yielding answer a.

Apply the pythagorean theorem to an isosceles right triangle to find leg x = sqrt2, then compute shaded area as large triangle area minus small triangle area, yielding 1/2.

Eyeball the geometry to estimate y, confirm it is less than 90 degrees and likely between 65 and 85, then choose D as the correct GMAT answer.

Determine point B in a square with y-coordinate 4, AB and AO equal 4, so B lies in the second quadrant with x-coordinate -4, giving answer D.

Identify why the equation is not in slope-intercept form, apply the slope m as rise over run of nine tenths, adjust both sides, and conclude the solution is a.

Compute the area of a circle centered at the origin with radius three using the formula area equals pi r squared, yielding nine pi.

The coordinates x and y form a right triangle with the origin. Quadrant two placement and axis orientation determine where point P may lie relative to the axes.

Set y to zero to locate the x-intercept, subtract a from both sides, then divide by B to obtain the ratio negative A over B.

Derive the line's equation in slope-intercept form using the origin, giving a zero y-intercept. Compute the slope as 1/2 and establish y = (1/2)x.

Apply the distance formula to determine if the point (7,7) lies inside a circle centered at the origin by comparing sqrt(98) to the radius 10.

Divides a polygon into triangles and a middle square to compute areas using half base times height, sums them to seven, and identifies the answer as a.

Use distance formula with a right-triangle interpretation to get C = sqrt(2) from legs length 1; the distance between P and 1 is 3 sqrt(2), so the answer is D.