GRE® Algebra Question Bank

Step 1: Assign a variable to represent the number.
Step 2: Convert "When four is added to six times a number and the result squared" into a mathematical expression. This expression will be the left hand side of the equation.
Step 3: Frame a mathematical expression for "four times the square of the sum of the number and its next multiple". This expression is the right hand side of the equation.
Step 4: Equate expressions obtained in steps 2 and 3 and solve for the unknown.

Step 1: Rewrite the expression given in Quantity A as a standard quadratic expression.
Step 2: Compare it with quadratic expression in Quantity B by cancelling like terms in both quantities.
Step 3: Use the information that \\frac{x}{y}) < 0 when evaluating what is left on both sides after cancelling like terms to arrive at the answer to this GRE quantitative comparison question.

Step 1: Rewrite the expression given in Quantity A in the form of a fraction \\frac{p}{q}).
Step 2: Rewrite the expression given in Quantity B in the form of a fraction \\frac{p}{q}).
Step 3: Look for a counter example. One example in which Quantity A is greater than B and another in which Quantity B is greater than A.
Step 4: If you are able to find a counter example, then the answer is evident.

Step 1: Evaluate the value of f(9).
Step 2: Evaluate values of fucntion for all the 6 answer options.
Step 3: Select options whose values are equal to the value of f(9).

Step 1: Factorise the given quadratic expression.
Step 2: Compute the turning points. Essentially, the roots of the quadratic equation.
Step 3: Divide the number line into 3 intervals based on the values of the two roots of the quadratic equation.
Step 4: Find the intervals in which the inequality holds good.
Step 5: Find the smallest positive integer in the first interval in which the inequality holds good when the intervals are arranged in ascending order.