McGraw-Hill Education GRE 2019

For this question, indicate all of the answer choices that apply. In a certain organization, the ratio of managers to directors ...

Quantitative Comparison Questions Each of the following questions consists of two quantities, Quantity A and Quantity B. You are ...

Exercise Answers Discrete Quantitative Questions E First, convert the fractions in the question to improper fractions: 3^13 =^1 ...

(you can’t have a fraction of a student!) and this integer = 20x, the number of students in the school must be a multiple of 20. ...

The sum of these values is 200,000: 4x + 3x + x = 200,000. Manipulate to solve for x: 8 x = 200,000 x = 25,000 The amount budget ...

14. B Your first step should be to set up a proportion, where s represents the number of students and t represents the number of ...

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Algebra Study this chapter to learn about: ■ Linear equations ■ Exponents and roots ■ Quadratic equations ■ Formulas, functions, ...

division, and no priority between addition and subtraction. When choosing between these operations, always move from left to rig ...

Simplifying Expressions Before you dive into the process for solving for a variable, let’s review ways to simplify expressions. ...

Factor To factor an expression, take out the factors common to all terms in the expression. Simplify: 6 ab + 3a SOLUTION: Each t ...

Let’s look at another example: If √x + 2 − 3 = 4, what is the value of x? SOLUTION: Step 1: Isolate √x + 2 by adding 3 to both s ...

Step 3: Solve for x. 3 x + 18 − 4x = 18 −x + 18 = 18 −x = 0 x = 0 Combination Most systems of equations on the GRE can be solved ...

Exercise: Linear Equations Discrete Quantitative Questions If x + 7 = 14, what is the value of (x − 5)^2? A 2 B 4 C 25 D 49 E 1 ...

If 3p + 5q = 27, and p + 2q = 15, then q equals. A −21 B −3 C 9 D 12 E 18 For this question, write your answer in the box. If ...

If a + 3b + 5c = 30, and 6b + 10c = 20, what is the value of 4a? A 10 B 20 C 40 D 60 E 80 If √y + 3 2 = x, what is y in terms o ...

Quantitative Comparison Questions Each of the following questions consists of two quantities, Quantity A and Quantity B. You are ...

Exercise Answers Discrete Quantitative Questions B To solve for (x − 5 ), subtract 12 from both sides of the equation: x − 5 = ...

Next, evaluate the exponential term: 12^2 = 14 4 –2(–2) ÷ 144 Since multiplication is to the left of division, multiply –2 × –2 ...

B To avoid working with fractions, cross-multiply and arrive at: 3a = bc. To make the columns look similar, substitute 3a for b ...