GRE Math Prep Course | The A - Z on GRE Math Topic by Topic

Compute revenue from discounts using the equation, compare five and eleven discount scenarios, and show that both yield the same revenue, so the answer is c.

Learn how to locate GRE computer adaptive practice tests on successprep.com, purchase access, and review explanations to improve pacing and timing before the GRE.

master basic arithmetic by handling a^2 plus a^2 and sqrt(3) by doing the inside first, applying the square to each term in the parentheses, yielding 27.

Explore how intersections of multiples work by replacing large numbers with 3 and 5, showing that multiples of two numbers intersect infinitely, starting at 15 for 3 and 5.

Apply the head-tail principle to quickly sum consecutive numbers by pairing ends; use it to find the difference between the first 100 and first 80 terms, i.e., 81 through 100.

Divide each storage dimension by the corresponding box dimension and multiply the quotients to find how many boxes fit, yielding 84.

Understand when a fraction becomes an integer by canceling the denominator, with examples like 12/4 and 12/5, and apply to a GRE square box question where A and D work.

Use a plug-and-chug approach on a circle of numbers to test X; in this example, 5 and 51 balance all sums.

Analyze fractional quantities in a GRE math comparison by scaling three-fourths of rice to six cups and eight servings, illustrating why one quantity exceeds the other.

Investigate a basic arithmetic GRE problem with variables under 100, showing how 100 minus y and y minus w vary, so the correct choice is D when nothing fits.

The lecture treats S as a set of odd numbers and tests parity under operations; multiplication preserves oddness, while addition, subtraction, or division may not, concluding C and E.

Use basic arithmetic to compare driving distances: multiply 59 mph by eight hours and 49.5 mph by six hours, then subtract to obtain 175 miles.

Analyze a GRE average problem with a 3:1 ratio and scores 78 and 94. Use a number-line center near 86 to show the class average falls between 78 and 82.

Analyze when f(x)=sqrt(x^2) equals x by applying order of operations and testing candidate values, showing negatives fail while positives satisfy, so D, E, and F are correct.

Explore factors and how a smaller factor multiplied by an integer yields a larger number, then apply these ideas to k, m, n with equations to test statements.

Explore how negative numbers behave on the GRE, using absolute values to analyze numbers between 10 and 20, and identify the greatest negative integers that make statements true or false.

Learn how consecutive integers from -8 to 8 sum to zero, including zero, and count them to reach 17 numbers.

Apply a number-picking strategy for GRE basic arithmetic: choose x > 30 and y < −40, compute x minus y, and show B is greater for all valid values.

Test odd values for p, n, m (PNM) to ensure the expression yields an even integer, using small numbers like 3 and 5 and avoiding 1.

Explore a basic arithmetic GRE problem by solving a square root expression with an absolute value, converting between decimals and fractions, and arriving at a final answer of 1.8.

Analyze a GRE basic arithmetic problem about a 100 by 80 km rectangle nation where unknown distances between three children's houses prevent comparing to 300 km, yielding answer D.

Compute the least common multiple of six and fifteen, then use a factor tree to find the greatest common factor of eighty-four and seven hundred.

Analyze how to compare quantities by converting days to hours and minutes, perform divisions with decimals, and focus on the cross-unit number 120 to solve a GRE math question.

Discounting chair prices affects revenue: selling more at lower prices never beats the original price of $25, which yields $750.

This lecture shows how to evaluate f(x)=3x^4+5x^2+7 by substituting x with 32 and -32. It demonstrates that even powers negate negatives, making f(32)=f(-32) and guiding the correct choice.

Identify perfect squares between 100 and 200, then subtract them from 99 numbers to yield 95 integers that are not the square of another integer.

Learn basic arithmetic by doubling rooms each floor across seven levels from 1 to 64 and summing to 127 rooms, illustrating geometric progression and gre math prep mental math techniques.

Apply the dst triangle to solve distance–speed–time problems using distance equals speed times time. With seven half-hour breaks, 879 miles require 20.5 hours, requiring about 43 mph.

Learn how to divide 1498 by 35, interpret the remainder, and compare whole-number quotients and decimal remainders to determine how many students fit into classrooms.

Learn to calculate the range of total spending for four books and five magazines by multiplying price ranges by quantity and adding minimums and maximums.

Identify the first five primes (2, 3, 5, 7, 11) and the next four (13, 17, 19, 23), then compare their sums to get 44.

Apply the operation x star y, defined as the square root of x minus two times the square of y, to x=9 and y=2 to obtain -5, the answer choice d.

Derive a as the greatest common factor of numbers, equals 3, and derive b as the least common multiple of 8 and 10, equals 40, then multiply to obtain 120.

Translate averages into totals by multiplying each player's average by 82 games to find the 123-point difference, or compute the 1.5-point per-game difference times 82.

Count the digits when writing numbers from 1 to 200 by separating into 1–9, 10–99, and 100–200, then total digits by the digit count per range.

Apply the distance–speed–time triangle to solve a two-car meeting problem, using 54 mph and 66 mph, with the second car starting two hours later, yielding t = 11 hours.

Analyze how squaring numbers compares to doubling them to identify all n with n^2 ≥ 2n, including decimals 0-1 and integers >1, noting a square box signals multiple correct options.

Learn how to identify when a fraction is undefined by locating zeroes of the denominator. Understand how to find values that make the numerator zero to get zero results.

Explore how to use the DST (distance–speed–time) triangle to compute average speed and compare rates in GRE fractions questions, with practice on distance, time, and speed relationships.

Expand the numbers through the parentheses, combine like terms with a common denominator, cross-multiply, and solve for x to find x = 2 (choice D) in fractions: Barrons-6-GRE-Test-3-Sec-5 #11.

Study a Barron's GRE fractions problem (test 4, section 5, problem 8) with an inverse a and b relationship where b is twice a, yielding 53/72 with a common denominator.

Reframe the problem by rewriting terms with a common denominator, apply reciprocal steps to flip fractions, and compute the cumulative sum step by step.

Compute fractions from a conference data set by combining female and male retirement counts with the total audience, and practice applying fraction questions to GRE math.

Learn how to solve work-rate problems using the flip technique: convert hours to rates, add them, and flip back to hours to determine total time for multiple machines.

Learn to solve a GRE fractions problem by setting one-eighth of a number, clearing fractions with a common denominator, solving for the number, and taking one-tenth of it.

Demonstrate solving a fractions problem from GRE math prep course by isolating x minus y, deriving x minus y equals 0.55, and identifying which variable is larger using Barron's approach.

Master fractions by converting yearly amounts to monthly figures and comparing rents and salaries, using division by 12 to align units and determine who pays more.

Evaluate how unit price and scaling affect total cost for multiple items, using fractions, multiplication, and price ranges to compare options.

Analyze a graph of government spending per student to maximize the fraction by pairing high spending with low student counts, showing that the highest ratio occurs in 2000.

Learn how to approach GRE quantitative comparison questions in section 3 of test 1 by testing numbers, comparing expressions, and using inequality reasoning to identify when one side dominates.

Analyze how squaring a number compares to doubling it, noting decimals below one versus numbers above one, and learn to select all valid options in a GRE exponents problem.

Explore exponents and roots on GRE with cube and fourth roots, identify positive and negative solutions for even powers, and compare x and y values to determine which is bigger.

Solve a GRE math exponents and roots problem; convert negative powers to reciprocals, apply difference of two squares and foil, and obtain 89.9.

Analyze prime factors of 60 to determine which n values make the left side a perfect square by ensuring even exponents for all primes; answer: B, C, and E.

Practice solving a GRE exponent problem by rewriting bases and powers, comparing quantities, and recognizing when expressions are equal using exponents and roots.

explain solving an exponent problem by converting 32 to 2^5, setting m = 5, then comparing 3^m with 5^3, which yields the answer eight.

Recognize exponent problems, convert 125 to five cubed using the smallest base, and apply the rule that dividing powers subtracts exponents to identify the correct option (B).

Master how exponents and roots rules let you find how many times greater a sum of powers is by dividing by the smaller power, subtracting exponents, and simplifying.

Demonstrates how an even exponent makes negative numbers positive in exponents and roots, rewriting the expression as 2^16 versus 2^15 to see 2^16 is larger.

Rewrite 7:29 as 3^6, then add exponents for the product of like bases to get x + y + z = 6; deduce z = 3 and 3^Z = 27.

Explore how to decide when exponent-based expressions yield integers by using prime factors, showing that only an end value of 3 works here.

Rewrite with a base, turning 4 into 2^2 and 8 into 2^3, factor to get 2x = 0 and x − 3 = 0, giving x = 0 or 3.

This lecture demonstrates using exponents and roots to compare two GRE math expressions, identifying 256 as 4^4 and determining which expression is greater, from Barron's GRE test 6 sec 3.

Move the decimal to sit between the first two digits to convert a large integer to standard form. Eight moves yield the exponent 8.

Explore GRE computer adaptive practice tests on successprep.com. Learn to find the GRE practice test, click the yellow button, and review explanations to improve pacing and timing.

Attach a variable to the 5:8:11 ratio for almonds, cashews, and peanuts, sum the ratios to form a scale, and compute peanuts as 71.5 pounds from the total 156.

Solve a 2011 GRE ratio problem comparing health and service sectors, using 12.5% and 20% and cross-multiplication to find the unknown count, which equals eight.

Learn to solve a GRE ratio and percent problem by tracking time, gallons poured, and percent full, then use cross-multiplication to find the pool’s capacity.

Explore GRE ratio problems by reading graphs to identify the highest revenue share from packaged foods and apply cross-multiplication to determine the beverage revenue, 588.

Compute the ratio of prepared food to packaged food for store D from the bar graph, with about 15% prepared and 40% packaged, yielding a 3:8 ratio.

Master ratio and proportion questions by applying cross multiplication for fractions on both sides of an equal sign, as shown in a multi-book cost problem.

Attach a multiplier to each part of the ratio, set 7x + 5x = 312, solve x = 26, and obtain 182 boys and 130 girls, a difference of 52.

Allocate 60 stones into four jars using the ratio 1:2:3:4 with a multiplier to get 6, 12, 18, and 24. To equalize to 15 stones per jar, move the least number of stones, which totals 12 stones moved.

Analyze ratio and unit conversions to compare distances traveled: convert speeds to consistent units, apply cross-multiplication, and determine which distance dominates over given times.

Read the top graph to compare college enrollment to grades in 2007, finding the ratio as 15 to 20, which simplifies to 3/4.

Identify a and e as zero from a b c = 0 and c d e = 0; deduce b, c, d nonzero by b c d = 12; compare.

Use the eight-score average to find the total, drop the two lowest scores to get a 92 average, derive x+y=152, so the two-lowest average is 76.

Set the two rectangles' areas equal, solve 12x = 30×48 by dividing by 12, find x = 120, then compute the perimeter as 264.

Solve algebraic expressions by using intercepts and substitution to show 8b equals 1, and review fraction-to-decimal conversions for gre prep.

Learn how to compute profit by subtracting costs from revenue, using algebra to factor out x and show profit as x times (selling price minus cost per item).

Solve a multi-variable algebra problem by isolating B from 5B=120 to get B=24, relate C and D with 6C=7D and C=6/7, and compute the value of 7BCD as 144.

Compute the x-intercept by setting y to zero in the equation 6x+8y=72, obtaining x=12. Then compute the y-intercept by setting x to zero, obtaining y=9, showing the x-intercept is greater.

Apply the average definition to a five-person problem, compute the five-person sum as 600, then use 6×125 = 600 + x6 to find the sixth value is 150.

In this algebraic expressions lesson, test positive and negative x values to compare x^2+3 and 3x-2, showing how to determine which expression is greater when x is unrestricted.

Solve a heads and tails problem using linear equations to determine how many heads occurred in 120 flips; derive h=68 from 10h-13t=4 and h+t=120.

Use algebraic expressions to determine the sign of xz by rewriting x and z as -60/y and -50/y, yielding xz = 3000/y^2 > 0, so xz is greater than zero.

Explore algebraic expressions in a GRE-style price problem where apple equals pear and a melon equals twice a pear, then substitute numbers to compare totals for A and B.

Apply algebraic expressions to compare shirt costs by plugging 995 and 775 into the cost function 175x + 180, then subtract to find the $825 difference.

Solve a two-equation system for adult and children tickets: A + C = 44 and 9A + 5C = 312, yielding 23 adult tickets using elimination or substitution.

Multiply 18 by 70 to get the boys' total and 12 by 80 for the girls' total, then add and divide by 30 to obtain the class average of 74.

Evaluate ratios for 24 coin flips to determine which could not yield an integer x, using head-tail counts, and identify D as the nonworking option.

Analyze comparing algebraic expressions by substituting positive and negative values, showing 15P vs P switch order; conclude the answer is D when outcomes depend on P's sign.

Derive z from the relations z = y/4 and x = 8z, giving z = y/4 and z = x/8; then match these results to options B and D.

Solve for the intersection of the lines y=2x-6 and y=1.5x+6 by equating the equations, simplifying to x=8, then plug into one of the equations to find y=10.

Learn to compare linear expressions in a GRE algebra problem by testing x and y scenarios, comparing 2x+3y with 3x+4y, and interpreting results across cases.

Use algebra to solve age problems by applying initials, subtracting 18 years ago, and forming two equations—then substitute to determine Jim's age.

Learn to tackle GRE quantitative comparison by squaring both sides to remove the square root, then compare x squared and y squared to decide A vs B.

Learn to solve linear equations by elimination and substitution, arranging problems vertically to compare a and b, finding a = 9 and b = -3.

Set up a linear equation from two trees with different starting heights and growth rates; combine like terms and isolate y to find when heights are equal, yielding 15 years.

Square the sides to remove the square root, solve the quadratic x^2 - 8x + 12 = 0, factor to (x-2)(x-6)=0, and confirm x = 6 in the original.

Apply elimination to two price equations for hotdogs and pretzels, then subtract them to obtain h - p, demonstrating that hotdogs are more expensive than pretzels.

Learn how to solve a linear equation by moving terms and combining like terms to isolate x. The walkthrough demonstrates balancing both sides and solving for x step by step.

Solve linear equations by adding two equations: x+y=40 and x-y=26 to find x=33, y=7, and then compute the product 33 times 7 equals 231; illustrate writing equations vertically for clarity.

Apply linear equation techniques to ratio problems by introducing a multiplier for each year, compute programmer and scientist totals for 2000 and 2010, and find the 2010–2000 scientist difference.

determine the slope from the two points (3,4) and (6,5), then select equations with slope 1/3 to identify parallel lines in a GRE math practice item.

Cross-multiply the two fractions to form a quadratic, then factor to solve (x-1)(x-6)=0; obtain x=1 or x=6, with 6 as the answer.

Solve a quadratic by factoring using the given root x = 6, form factors (x-6)(2x+3)=0, and obtain the other root x = -3/2 (or -1.5) via the zero-product property.

Move the quadratic to zero and factor x^2+5x-6 into (x-1)(x+6). Identify roots x=1 and x=-6 using the opposite-sign factor pair to answer the comparison question.

Apply zero-product property by setting each factor to zero, solve for x, discard square roots of negatives on GRE, and compare -9 and five to pick the correct option.

Learn to solve quadratic equations by moving terms to one side and using b^2 - 4ac to determine two real solutions, one real solution, or no real solutions.

Determine the height of a thrown ball by substituting t = 3 into h = -10 t^2 + 40 t, showing the height at 3 seconds is 30.

this lesson covers the difference of two squares, demonstrates factoring with plus or minus signs, and shows how to compare m^2 and k^2 to determine which is greater.

Determine the exponent m by recognizing that 2^m equals 32, then compare 3^m with 5^3 to solve the linear inequality, illustrating exponent rules and power comparisons.

Explore solving linear inequalities using absolute value with a height restriction example, identify the center at 38, the range 24 to 52, and form the inequality |x-38|<14.

Explore solving linear inequalities with absolute value by splitting into positive and negative cases. Learn to handle x-5 with the equation, derive x-values, and compare against zero for GRE preparation.

This lecture demonstrates solving a linear inequality to ensure week six spending accounts for at least 80 percent of total spending, confirming the minimum x is 1356.

This lecture shows solving linear inequalities by combining like terms, isolating x, and flipping the sign when dividing by a negative, yielding x between -25/3 and -34/5.

Solve linear inequalities by analyzing when 1/x lies between 0 and 1, test multiple-choice options, and identify the correct choices for GRE Barron's practice problem 17.

Identify the correct equation from the graph by selecting an exact point and plugging the x-value into each candidate equation to verify the corresponding y.

Examine which expressions have real-number domains, showing that denominators cannot be zero, square roots require nonnegative radicands, and cube roots remain defined for all real x.

Explore evaluating f(f(1)) from a graph by tracing from the x-axis to the graph and reading the corresponding y-value, applying inner and outer function ideas.

Identify where x^2 and |x| intersect by equating them, then test values to find three solutions at x = -1, 0, and 1, explaining why other numbers fail.