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Álgebra Practice Questions

ENEM (Brazil) · ENEM Matemática · 139 free MCQs with instant results and detailed explanations.

139
Total
38
Easy
68
Medium
33
Hard

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Sample Questions from Álgebra

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Q1
Easy
What is the solution to the equation 2x + 3 = 11?
A. 3
B. 4
C. 5
D. 6
Show Answer & Explanation
Correct Answer: B
To solve for x, first subtract 3 from both sides to get 2x = 8. Then, divide both sides by 2 to find x = 4.
Q2
Easy
Which of the following represents the expression 'the sum of a number x and 7'?
A. x + 7
B. x - 7
C. 7 - x
D. x * 7
Show Answer & Explanation
Correct Answer: A
The phrase 'the sum of a number x and 7' directly translates to the mathematical expression x + 7.
Q3
Easy
If the function f(x) = 3x - 5, what is the value of f(2)?
A. 1
B. 6
C. 3
D. -1
Show Answer & Explanation
Correct Answer: A
To find f(2), substitute x = 2 into the function: f(2) = 3(2) - 5 = 6 - 5 = 1.
Q4
Medium
What is the value of x in the equation 3(x - 4) + 5 = 2x + 7?
A. 11
B. 2
C. 6
D. 8
Show Answer & Explanation
Correct Answer: A
To solve for x, distribute the 3: 3x - 12 + 5 = 2x + 7. Combine like terms: 3x - 7 = 2x + 7. Subtract 2x from both sides: x - 7 = 7. Adding 7 to both sides gives x = 11.
Q5
Medium
Which of the following represents the solution set of the inequality 4x - 1 < 3x + 5?
A. x < 6
B. x > 6
C. x < 4
D. x > 4
Show Answer & Explanation
Correct Answer: A
To solve the inequality, subtract 3x from both sides: 4x - 3x < 5 + 1. This simplifies to x < 6, which is the solution set.
Q6
Medium
A linear function is defined as f(x) = mx + b. If the line passes through the points (1, 3) and (2, 5), what is the value of m?
A. 2
B. 3
C. 1
D. 4
Show Answer & Explanation
Correct Answer: A
To find the slope m, use the formula m = (y2 - y1)/(x2 - x1). Here, m = (5 - 3)/(2 - 1) = 2/1 = 2.
Q7
Medium
If x + 3 = 7, what is the value of x?
A. 4
B. 10
C. 2
D. 1
Show Answer & Explanation
Correct Answer: A
To find x, subtract 3 from both sides: x + 3 - 3 = 7 - 3, which simplifies to x = 4.
Q8
Hard
If the function f(x) = 3x^2 - 12x + 7 is transformed by translating it 2 units to the right and 3 units up, what will be the new function g(x)?
A. g(x) = 3(x - 2)^2 - 12(x - 2) + 10
B. g(x) = 3x^2 - 12x + 10
C. g(x) = 3(x - 2)^2 - 5
D. g(x) = 3(x - 2)^2 - 12(x - 2) + 3
Show Answer & Explanation
Correct Answer: A
To translate f(x) = 3x^2 - 12x + 7, we shift it 2 units right (replace x with x - 2) and 3 units up (add 3). So, g(x) = 3(x - 2)^2 - 12(x - 2) + 7 + 3 = 3(x - 2)^2 - 12(x - 2) + 10.
Q9
Hard
Solve for x in the equation 4^(x + 1) = 16^(2x - 3). What is the value of x?
A. 2
B. 0
C. 1
D. -1
Show Answer & Explanation
Correct Answer: C
We can express both sides with the base of 4: 4^(x + 1) = (4^2)^(2x - 3) gives us 4^(x + 1) = 4^(4x - 6). Setting exponents equal: x + 1 = 4x - 6 leads to x = 1.
Q10
Hard
If the quadratic equation x² + kx + 16 = 0 has equal roots, what is the value of k?
A. -8
B. 8
C. -4
D. 4
Show Answer & Explanation
Correct Answer: A
For a quadratic equation to have equal roots, the discriminant must be zero. Here, the discriminant is k² - 4(1)(16) = 0. Solving k² - 64 = 0 gives k = ±8. Since we consider the negative value for equal roots, k = -8.

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Álgebra — ENEM (Brazil) ENEM Matemática Practice Questions Online

This page contains 139 practice MCQs for the chapter Álgebra in ENEM (Brazil) ENEM Matemática. The questions are organized by difficulty — 38 easy, 68 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.