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Aljabar Practice Questions

UN (Indonesia) · UN Matematika · 137 free MCQs with instant results and detailed explanations.

137
Total
29
Easy
75
Medium
33
Hard

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Sample Questions from Aljabar

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Q1
Easy
Which expression represents the area of a rectangle with a length of (2x + 3) and a width of (x + 1)?
A. 2x^2 + 5x + 3
B. 2x^2 + 3x + 3
C. 2x^2 + 6x + 3
D. 2x^2 + 5x + 2
Show Answer & Explanation
Correct Answer: A
To find the area, multiply length by width: (2x + 3)(x + 1) = 2x^2 + 2x + 3x + 3 = 2x^2 + 5x + 3.
Q2
Easy
What is the value of x in the equation 3x + 4 = 10?
A. 2
B. 3
C. 4
D. 1
Show Answer & Explanation
Correct Answer: A
To find x, first subtract 4 from both sides to get 3x = 6. Then, divide both sides by 3 to find x = 2.
Q3
Easy
If y = 2x + 5, what is the value of y when x = 3?
A. 11
B. 10
C. 12
D. 9
Show Answer & Explanation
Correct Answer: A
By substituting x = 3 into the equation, we calculate y as y = 2(3) + 5 = 6 + 5 = 11.
Q4
Medium
What is the result of expanding the expression (x + 4)(x - 3)?
A. x^2 + x - 12
B. x^2 + x + 12
C. x^2 + 7x - 12
D. x^2 + x - 7
Show Answer & Explanation
Correct Answer: A
When expanding (x + 4)(x - 3), apply the distributive property: x^2 - 3x + 4x - 12, which simplifies to x^2 + x - 12.
Q5
Medium
Solve the inequality 4x - 7 < 5.
A. x < 3
B. x < 2
C. x > 2
D. x > 3
Show Answer & Explanation
Correct Answer: A
To solve the inequality, first add 7 to both sides: 4x < 12. Then, divide by 4, yielding x < 3.
Q6
Medium
Which of the following is a solution to the equation x^2 - 5x + 6 = 0?
A. 2 or 3
B. 1 or 6
C. 5 or 0
D. 4 or 2
Show Answer & Explanation
Correct Answer: A
Factoring the quadratic equation gives (x - 2)(x - 3) = 0, leading to the solutions x = 2 and x = 3.
Q7
Medium
What is the value of x in the equation 3x + 7 = 22?
A. 5
B. 10
C. 3
D. 7
Show Answer & Explanation
Correct Answer: A
To solve for x, subtract 7 from both sides to get 3x = 15, then divide by 3 to find x = 5.
Q8
Hard
If the quadratic equation x^2 - 4x + k = 0 has two equal roots, what is the value of k?
A. 4
B. 0
C. 8
D. 16
Show Answer & Explanation
Correct Answer: A
For a quadratic equation to have equal roots, the discriminant must be zero. The discriminant for the equation ax^2 + bx + c = 0 is given by b^2 - 4ac. Here, a = 1, b = -4, and c = k. Setting the discriminant to zero: (-4)^2 - 4(1)(k) = 0 leads to 16 - 4k = 0, hence k = 4.
Q9
Hard
If the quadratic equation x^2 - 4x + k = 0 has exactly one solution, what is the value of k?
A. 4
B. 0
C. 16
D. 8
Show Answer & Explanation
Correct Answer: A
For a quadratic equation to have exactly one solution, its discriminant must be zero. The discriminant is given by b^2 - 4ac. Here, a = 1, b = -4, and c = k. Therefore, (-4)^2 - 4(1)(k) = 0, which simplifies to 16 - 4k = 0, giving k = 4.
Q10
Hard
If the polynomial P(x) = 3x^3 - 6x^2 + kx - 12 has a root at x = 2, what is the value of k?
A. -6
B. 0
C. 6
D. 12
Show Answer & Explanation
Correct Answer: C
By substituting x = 2 into the polynomial and setting it equal to zero, we can solve for k. P(2) = 3(2)^3 - 6(2)^2 + k(2) - 12 = 0 leads to k = 6.

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Aljabar — UN (Indonesia) UN Matematika Practice Questions Online

This page contains 137 practice MCQs for the chapter Aljabar in UN (Indonesia) UN Matematika. The questions are organized by difficulty — 29 easy, 75 medium, 33 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit.