COMPASS Algebra 2 — Questions and Answers
Question 1: Simplify: (3x²y)(4xy³)
- 12x³y⁴ (Correct answer)
- 7x³y⁴
- 12x²y³
- 12x³y³
Correct answer: 12x³y⁴
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
- x = 5, y = 3 (Correct answer)
- x = 3, y = 5
- x = 4, y = 4
- x = 6, y = 2
Correct answer: x = 5, y = 3
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?
- x = 2 (Correct answer)
- x = 1
- x = −2
- x = 5
Correct answer: x = 2
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?
- 3 (Correct answer)
- 4
- 2
- 1
Correct answer: 3
The degree is the highest exponent of the variable, which is 3.
Question 5: Simplify: (x + 3)(x − 2)
- x² + x − 6 (Correct answer)
- x² − x − 6
- x² + 5x − 6
- x² − 6
Correct answer: x² + x − 6
Using FOIL: x² − 2x + 3x − 6 = x² + x − 6.
Question 6: If 5(x − 2) = 3x + 4, what is x?
- 7 (Correct answer)
- 3
- 5
- 1
Correct answer: 7
Expand: 5x − 10 = 3x + 4; subtract 3x: 2x = 14; x = 7.
COMPASS Algebra 2
Simplify: (3x²y)(4xy³)