DSAT Math Algebra 2

Question 1

If 3x - 7 = 2x + 5, what is the value of x?

Accepted Answer

12

Answer

Subtracting 2x from both sides gives x - 7 = 5, so x = 12.

Question 2

Which value of x satisfies |2x - 4| = 10?

Accepted Answer

x = 7 or x = -3

Answer

Setting 2x - 4 = 10 gives x = 7, and setting 2x - 4 = -10 gives x = -3.

Question 3

A line passes through (0, -3) and (4, 5). What is its equation?

Accepted Answer

y = 2x - 3

Answer

The slope is (5 - (-3))/(4 - 0) = 2 and the y-intercept is -3, giving y = 2x - 3.

Question 4

If f(x) = 4x² - 9, which expression equals f(x) in factored form?

Accepted Answer

(2x - 3)(2x + 3)

Answer

4x² - 9 is a difference of squares: (2x)² - 3² = (2x - 3)(2x + 3).

Question 5

What is the solution set of 5 - 2x ≥ 11?

Accepted Answer

x ≤ -3

Answer

Subtracting 5 gives -2x ≥ 6, then dividing by -2 (flip inequality) gives x ≤ -3.

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