TSIA2 College Readiness Math 3

Question 1

Simplify: (2x³y²)(3x²y⁴)

Accepted Answer

6x⁵y⁶

Answer

Multiply coefficients (2 × 3 = 6) and add exponents: x^(3+2) = x⁵, y^(2+4) = y⁶.

Question 2

What are the solutions to x² + 5x − 6 = 0?

Accepted Answer

x = 1 and x = −6

Answer

Factor: (x + 6)(x − 1) = 0, so x = −6 or x = 1.

Question 3

What is the y-intercept of the line 4x − 2y = 10?

Accepted Answer

−5

Answer

Set x = 0: −2y = 10, so y = −5.

Question 4

The table shows (1, 3), (2, 6), (3, 12), (4, 24). Which function best models this data?

Accepted Answer

f(x) = 3 · 2^(x−1)

Answer

Each output doubles, indicating exponential growth: f(x) = 3 · 2^(x−1).

Question 5

Solve the system: x + y = 8 and x − y = 2

Accepted Answer

x = 5, y = 3

Answer

Adding the equations: 2x = 10, x = 5; substituting: y = 3.

(TSIA2) Texas Success Initiative Assessment 2.0 Practice Test