Algebra II: Practice Questions with AnswersCurriculum: Algebra IIGrades: 10–11Questions: 12Mode: Practice These are the real questions from this STEPCAI practice lesson. Read each question, pick your answer, then open Show the answer to check yourself and read why it is right. On STEPCAI the same lesson runs interactively: you click an answer and get instant feedback, and a free account keeps your scores. 1. Solve for x: 2x + 5 = 13.- 18
- 9
- 4
- 3
Show the answerAnswer: C. 4
Subtracting 5 from both sides gives 2x = 8, then dividing by 2 gives x = 4. 2. Simplify: 3(x + 4) - 2x.- 5x + 12
- x + 4
- x + 12
- 5x + 4
Show the answerAnswer: C. x + 12
Distribute the 3 to get 3x + 12, then combine like terms 3x - 2x to get x + 12. 3. What is the degree of the polynomial 4x^3 - 2x^2 + 7x - 1?- 1
- 3
- 4
- 2
Show the answerAnswer: B. 3
The degree of a polynomial is the highest exponent on its variable, and here the highest power of x is 3. 4. Factor completely: x^2 - 9.- (x-3)(x-3)
- (x-9)(x+1)
- (x+3)(x+3)
- (x-3)(x+3)
Show the answerAnswer: D. (x-3)(x+3)
This is a difference of squares, a^2 - b^2 = (a-b)(a+b), with a = x and b = 3, giving (x-3)(x+3). 5. If f(x) = 2x - 5, what is f(4)?- 8
- 3
- -1
- 13
Show the answerAnswer: B. 3
Substitute 4 for x to get 2(4) - 5 = 8 - 5 = 3. 6. Simplify: x^5 / x^2.- x^3
- x^7
- x^2
- x^10
Show the answerAnswer: A. x^3
When dividing powers with the same base, subtract the exponents: 5 - 2 = 3, giving x^3. 7. Which point lies on the graph of y = x^2?- (4, 2)
- (2, 2)
- (2, 4)
- (-2, -4)
Show the answerAnswer: C. (2, 4)
Substituting x = 2 gives y = 2^2 = 4, so the point (2, 4) satisfies the equation. 8. Solve the system: x + y = 6 and x - y = 2.- x=4, y=2
- x=3, y=3
- x=5, y=1
- x=2, y=4
Show the answerAnswer: A. x=4, y=2
Adding the two equations eliminates y: 2x = 8, so x = 4, and substituting back gives y = 2. 9. Simplify the radical: sqrt(49).- 98
- 7
- 6
- 24.5
Show the answerAnswer: B. 7
7 x 7 = 49, so the square root of 49 is 7. 10. What is i^2, where i is the imaginary unit?- i
- -i
- 1
- -1
Show the answerAnswer: D. -1
The imaginary unit i is defined so that i^2 = -1. 11. Add the polynomials: (3x^2 + 2x) + (x^2 - 5x).- 3x^2 - 3x
- 4x^2 - 3x
- 4x^2 + 7x
- 2x^2 - 3x
Show the answerAnswer: B. 4x^2 - 3x
Combine like terms: 3x^2 + x^2 = 4x^2 and 2x - 5x = -3x, giving 4x^2 - 3x. 12. What is the domain of f(x) = 1/(x - 3)?- all real numbers except 0
- all real numbers except 3
- x > 3 only
- all real numbers
Show the answerAnswer: B. all real numbers except 3
Division by zero is undefined, so x cannot equal 3, the value that makes the denominator zero; every other real number is allowed. More free high school sample lessonsSee all free sample lessons »
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