COMPASS Algebra 2

Question 1

Simplify: (3x²y)(4xy³)

Accepted Answer

12x³y⁴

Answer

Multiply coefficients (3 × 4 = 12) and add exponents: x²⁺¹ = x³, y¹⁺³ = y⁴.

Question 2

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

Accepted Answer

x = 5, y = 3

Answer

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

Question 3

Which of the following is a solution to x² − 5x + 6 = 0?

Accepted Answer

x = 2

Answer

The equation factors as (x − 2)(x − 3) = 0, giving solutions x = 2 and x = 3.

Question 4

What is the degree of the polynomial 4x³ − 2x² + x − 7?

Accepted Answer

3

Answer

The degree is the highest exponent of the variable, which is 3.

Question 5

Simplify: (x + 3)(x − 2)

Accepted Answer

x² + x − 6

Answer

Using FOIL: x² − 2x + 3x − 6 = x² + x − 6.

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