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GMAT - Target TestPrep.docx, Exams of Geochemistry

Western Governors University (WGU)Geochemistry

GMAT - Target TestPrep.docx 2026

Typology: Exams

2025/2026

Available from 01/03/2026

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GMAT - Target TestPrep
Original
Mixed Number to Improper Fraction
Multiply the denominator by the whole number, add to the numerator. Keep the denominator the
same.
least common denominator
The least common multiple of the denominators of two or more fractions. To determine the LCD
of the fractions, list the multiples of the denominators and find the smallest number that is
common to the lists.
equivalent fractions
Two fractions a/b and c/d are equivalent if ad=bc
Adding/subtracting fractions with same denominator
a/b + c/b = (a+c)/b or a/b +c/b = (a-c)/b
Distributive property of division over addition
(a+c)/b = a/b + c/b
Adding/subtracting fractions with different denominators
a/b + c/d = (ad + bc)/bd ... a/b - c/d = (ad - bc)/bd
Subtracting a fraction from a whole number
A - b/c = (c x A - b)/c
Multiplying fractions
a/b x c/d = ac/bd
Dividing fractions
Multiply by the reciprocal: a/b x c/d = a/b x d/c = ad/bc
Two methods for simplifying fractions
Cross cancel and top-and-bottom cancel
1 over a fraction
1/a/b = b/a
How to simplify a complex fraction: Method 1
Multiply both the numerator of the complex fraction and the denominator of the complex
fraction by the LCD
How to simplify a complex fraction: Method 2
Write the numerator of the complex fraction as a single fraction, do the same to the denominator,
then divide
How to simplify a complex fraction: Method 3
After doing method 2, (a/b)/(c/d) = ad/bc
Bowtie method of comparing fractions
Best way to compare size of multiple fractions
Find the least common denominator and then compare the numerators
2 other ways to compare fractions
1. Use a reference point
2. Use a common numerator (larger denominator = smaller fraction)
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GMAT - Target TestPrep

Original Mixed Number to Improper Fraction Multiply the denominator by the whole number, add to the numerator. Keep the denominator the same. least common denominator The least common multiple of the denominators of two or more fractions. To determine the LCD of the fractions, list the multiples of the denominators and find the smallest number that is common to the lists. equivalent fractions Two fractions a/b and c/d are equivalent if ad=bc Adding/subtracting fractions with same denominator a/b + c/b = (a+c)/b or a/b +c/b = (a-c)/b Distributive property of division over addition (a+c)/b = a/b + c/b Adding/subtracting fractions with different denominators a/b + c/d = (ad + bc)/bd ... a/b - c/d = (ad - bc)/bd Subtracting a fraction from a whole number A - b/c = (c x A - b)/c Multiplying fractions a/b x c/d = ac/bd Dividing fractions Multiply by the reciprocal: a/b x c/d = a/b x d/c = ad/bc Two methods for simplifying fractions Cross cancel and top-and-bottom cancel 1 over a fraction 1/a/b = b/a How to simplify a complex fraction: Method 1 Multiply both the numerator of the complex fraction and the denominator of the complex fraction by the LCD How to simplify a complex fraction: Method 2 Write the numerator of the complex fraction as a single fraction, do the same to the denominator, then divide How to simplify a complex fraction: Method 3 After doing method 2, (a/b)/(c/d) = ad/bc Bowtie method of comparing fractions Best way to compare size of multiple fractions Find the least common denominator and then compare the numerators 2 other ways to compare fractions

  1. Use a reference point
  2. Use a common numerator (larger denominator = smaller fraction)

Given a fraction, multiplying or dividing both the numerator and the denominator by the same nonzero constant... will not change the value of the fraction. Ex: 1/2 x 5/5 = 5/ Given a fraction, adding or subtracting from the numerator and denominator the same nonzero constant... will change the value of the fraction If a fraction is between 0 and 1, adding a positive constant to top and bottom will... Subtracting from the top and bottom of this fraction a positive constant will... Make the fraction larger Make the fraction smaller (as long as it's still + ) If a fraction is greater than 1, adding a positive constant to top and bottom will... Subtracting from the top and bottom of this fraction a positive constant will... Make the fraction smaller Make the fraction larger (as long as it's still +) How to add or subtract decimals vertically line up the decimal points of the numbers and then add/subtract How to multiply decimals Does not require aligning the decimal points. arrange with right justification, multiply like normal and then count the total number of decimal places to the right of the decimal in the numbers. Then move the decimal point of the product to the left the same number of spaces Shortcut for multiplying decimals Count the total number of decimal places from the two numbers being multiplied. That will be the number of decimal places in the answer (unless the answer ends in 0) How to divide decimals

  1. Move the decimal point of the divisor to the right until it becomes a whole number
  2. Move the decimal point of the dividend to the right the same number of places
  3. Divide the numbers by long division. For the quotient, keep the decimal in the same place as the new dividend How to compare the size of decimals Compare them place by place, left to right. The larger decimal will have the larger number at the first place of difference Percent means divide by 100 x% = x/ How to convert a fraction to percent Multiply by 100 and add % How to convert a decimal or integer to percent Move decimal point two places to the right and add % Convert percent to decimal Move the decimal two places to the left and drop the % Convert a fraction to a decimal Divide numerator by denominator using long division Converting Terminating Decimals to Fractions

If 0 < x < 1, it must be true that... x^2 < x < sqrt x Absolute value of a number is... The distance of that number from 0 on the number line PEMDAS Parentheses, Exponents, Multiplication, Division, Addition, Subtraction Steps for order of operations

  1. Operations within parentheses (or absolute value bars or radicals)
  2. Exponents
  3. Multiplication and division FROM LEFT TO RIGHT
  4. Addition and subtraction FROM LEFT TO RIGHT PEMDAS Time Saving Variation: Addition and Subtraction Combine Like Terms You can put all the positive numbers together and put all the negative numbers together, then add the two numbers PEMDAS Time Saving Variation: Simplify each term Simplifying one term will not affect another Remember that in algebra, terms are separated by a + or - that is outside of the parentheses. To make it easier, you can put each term in brackets and then add/subtract the terms In a fraction with addition or subtraction in the denominator or numerator, I must... complete that operation before dividing the numerator by the denominator Commutative Property of Addition a+b=b+a Associative Property of Addition (a + b) + c = a + (b + c) When a sequence of numbers is added together, I can... add them in any order I want Commutative Property of Multiplication ab = ba Associative Property of Multiplication (ab) x c = a x (bc) Distributive Property of Multiplication a(b + c) = ab + ac. (Super useful in factoring) 0! and 1! = 1 Expanding and Contracting Factorial Notation and Canceling Factorials within Fractions Do this to cancel/simplify tricky fractions and large numbers and expressions The substitution method to solve a system of equations Replacing one variable with an equivalent expression containing the other variable In the substitution method, which variable should you isolate first? Consider isolating the variable in the equation that yields the least complex expression for the variable you are isolating Combination method Add one equation to another equation or subtract one equation from another equation in order to eliminate one variable and solve for the other variable

When to use the substitution method When one of the equations can be easily manipulated to isolate one of the variables on one side of the equation When to use the combination method When neither equation can be easily manipulated to isolate one of the variables on one side of the equation Fastest way to eliminate tricky fractions in an equation Multiply each term of the entire equation by the LCD of the fractions Meaning of "what is x in terms of y?" We are being asked to isolate x and set it equal to some expression of y When all terms in an expression have a common factor... the common factor can be factored out When the product of two integers is 1 then... either both are 1 or both are - If two things multiply to equal 0... at least one of the things must be 0 Before an equation can be factored, it must be written... in the general format ax^2 + bx + c = 0 FOIL First, Outer, Inner, Last Relationship of factoring to FOIL They are reverse processes Quadratic identity 1 (x+y)^2 = (x+y)(x+y) = x^2 + y^2 + 2xy Quadratic identity 2 (x-y)^2 = (x-y)(x-y) = x^2 + y^2 - 2xy Quadratic Identity 3 (Difference of two squares) (x+y)(x-y) = x^2 - y^ To help spot the difference of squares, look for... the square of a value - the square of another value Another way to express - When x does not equal y, (x-y)/(y-x) = - Some quadratic equations can be created from fractions by... Multiplying the whole equation by the LCD Equation trap 1 Don't assume that two equations are sufficient to determine the value of two variables, especially when one equation is just a multiple of the other equation. Equation trap 2 Don't assume that one equation must be insufficient to determine the values of two variables. If there are inherent restrictions on the variables, one equation may be sufficient Equation trap 3 Given an equation with two variables, such as x and y, and asked to solve for some combination of those variables (x+y, x-y, y/x, etc.), don't automatically assume that the question is unanswerable because there are two variables but only one equation. See whether it is possible to isolate the expression in question

Even/Even = even or odd See 207 more Learn More You can also click the terms or definitions to blur or reveal them