Bluebook SAT Test Digital SAT Math Algebra Practice 2

Question 1

A system of equations is given: 2x + y = 7 and x − y = 2. What is the value of x + y?

Accepted Answer

4

Answer

Adding both equations: 3x = 9, so x = 3. Substitute into x − y = 2: y = 1. Therefore x + y = 4.

Question 2

The function g is defined by g(x) = (x + 3)² − 4. For what value of x does g(x) reach its minimum?

Accepted Answer

−3

Answer

The vertex form (x + 3)² − 4 has its minimum at x = −3 (where the squared term equals zero).

Question 3

If f(x) = 3x − 2 and g(x) = x² + 1, what is f(g(2))?

Accepted Answer

13

Answer

g(2) = 4 + 1 = 5. Then f(5) = 3(5) − 2 = 13.

Question 4

The graph of y = kx + 3 passes through the point (2, 9). What is the value of k?

Accepted Answer

3

Answer

Substitute (2, 9): 9 = 2k + 3 → 2k = 6 → k = 3.

Question 5

Which of the following inequalities is equivalent to −3x + 6 ≤ 15?

Accepted Answer

x ≥ −3

Answer

Subtract 6: −3x ≤ 9. Divide by −3 (flip inequality): x ≥ −3.

Bluebook SAT Practice Test