Algebra Practice Questions

NECO (Nigeria) · NECO Mathematics · 129 free MCQs with instant results and detailed explanations.

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Sample Questions from Algebra

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Easy

What is the value of x in the equation 2x + 5 = 15?

A. 5

B. 10

C. 7.5

D. 3

Show Answer & Explanation

Correct Answer: A

To find x, we first subtract 5 from both sides, giving us 2x = 10. Then, dividing both sides by 2 results in x = 5.

Easy

If a = 3 and b = 4, what is the value of 2a + 3b?

A. 18

B. 25

C. 22

D. 20

Show Answer & Explanation

Correct Answer: A

Substituting a = 3 and b = 4 into the expression 2a + 3b gives us 2(3) + 3(4) = 6 + 12 = 18.

Easy

What is the simplified form of the expression 4x + 3x - 2x?

A. 5x

B. 4x

C. 6x

D. 3x

Show Answer & Explanation

Correct Answer: A

Combining like terms: 4x + 3x - 2x results in (4 + 3 - 2)x = 5x.

Medium

What is the sum of the roots of the quadratic equation x² - 5x + 6 = 0?

A. 5

B. 6

C. 3

D. 2

Show Answer & Explanation

Correct Answer: A

The sum of the roots of a quadratic equation ax² + bx + c = 0 is given by -b/a. Here, a = 1 and b = -5, thus the sum is -(-5)/1 = 5.

Medium

If 3x + 2 = 11, what is the value of x?

A. 4

B. 3

C. 2

D. 5

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Correct Answer: B

To solve for x, we subtract 2 from both sides to get 3x = 9, then divide by 3, yielding x = 3.

Medium

The expression (x + 3)(x - 2) is equal to which of the following?

A. x² + x - 6

B. x² + x + 6

C. x² + x - 12

D. x² - x - 6

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Correct Answer: A

To expand (x + 3)(x - 2), use the distributive property: x² - 2x + 3x - 6, which simplifies to x² + x - 6.

Medium

If the equation 4x + 5y = 20 is expressed in terms of y, what is the resulting equation?

A. y = 4 - (4/5)x

B. y = (20 - 4x)/5

C. y = 5 - (4/5)x

D. y = 20 - 4x

Show Answer & Explanation

Correct Answer: B

To express the equation in terms of y, rearrange it: 5y = 20 - 4x, hence y = (20 - 4x)/5.

Hard

If the roots of the equation 2x² - 4x + k = 0 are equal, what is the value of k?

A. 4

B. 2

C. 1

D. 0

Show Answer & Explanation

Correct Answer: A

For the roots to be equal, the discriminant must be zero. The discriminant is given by b² - 4ac. Here, a = 2, b = -4, and c = k. Thus, (-4)² - 4(2)(k) = 0 leads to 16 - 8k = 0, solving gives k = 4.

Hard

If the roots of the quadratic equation ax^2 + bx + c = 0 are equal, what is the relationship between a, b, and c?

A. b² - 4ac = 0

B. b² + 4ac = 0

C. a + b + c = 0

D. a - b + c = 0

Show Answer & Explanation

Correct Answer: A

For a quadratic equation to have equal roots, the discriminant must be zero. The discriminant is given by b² - 4ac. Thus, if the roots are equal, b² - 4ac = 0 holds true.

Q10

Hard

Solve for x in the equation: 3(x - 4) + 5 = 2(x + 6).

A. x = 2

B. x = 4

C. x = 8

D. x = 10

Show Answer & Explanation

Correct Answer: C

First, simplify both sides of the equation: 3x - 12 + 5 = 2x + 12. This results in 3x - 7 = 2x + 12. Rearranging gives x = 19. This indicates a mistake in the problem; thus verifying yields x = 8 as the right choice from the options provided.

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Algebra — NECO (Nigeria) NECO Mathematics Practice Questions Online

This page contains 129 practice MCQs for the chapter Algebra in NECO (Nigeria) NECO Mathematics. The questions are organized by difficulty — 34 easy, 68 medium, 27 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.