SCAT Quantitative Comparisons: Algebra 2

Question 1

Given x > 0. Compare: Column A: 3x + 5 | Column B: 2x + 5

Accepted Answer

Column A is greater

Answer

Subtracting 2x + 5 from both sides gives x > 0, so Column A is always greater.

Question 2

Given x = 3. Compare: Column A: x² + 2x | Column B: 3x + 5

Accepted Answer

Column A is greater

Answer

Column A = 9 + 6 = 15 and Column B = 9 + 5 = 14, so Column A is greater.

Question 3

Given x + y = 10 and x > y > 0. Compare: Column A: x | Column B: y

Accepted Answer

Column A is greater

Answer

The condition x > y is stated directly, so Column A is greater without further calculation.

Question 4

Compare: Column A: 2(x + 3) | Column B: 2x + 7

Accepted Answer

Column B is greater

Answer

Column A expands to 2x + 6, which is always 1 less than 2x + 7, so Column B is always greater.

Question 5

Given x > 1. Compare: Column A: x/2 | Column B: 1/x

Accepted Answer

The relationship cannot be determined

Answer

At x = 1.2, Column B > Column A, but at x = 3, Column A > Column B, so the relationship cannot be determined.

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