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Equations Practice Questions

KCSE (Kenya) · KCSE Mathematics · 135 free MCQs with instant results and detailed explanations.

135
Total
34
Easy
67
Medium
34
Hard

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Sample Questions from Equations

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Q1
Easy
If 5y - 7 = 18, what is the value of y?
A. 5
B. 3
C. 4
D. 6
Show Answer & Explanation
Correct Answer: A
Adding 7 to both sides gives 5y = 25, then dividing by 5 results in y = 5.
Q2
Easy
Solve for x in the equation x/3 + 4 = 8.
A. 12
B. 10
C. 15
D. 14
Show Answer & Explanation
Correct Answer: A
To isolate x, subtract 4 from both sides to get x/3 = 4, then multiply by 3 to find x = 12.
Q3
Easy
What is the solution to the equation 3x + 4 = 10?
A. 2
B. 3
C. 4
D. 1
Show Answer & Explanation
Correct Answer: A
To find the value of x, first subtract 4 from both sides of the equation to get 3x = 6. Then, divide both sides by 3, giving x = 2.
Q4
Medium
If 2x - 3 = 13, what is the value of x?
A. 8
B. 5
C. 10
D. 3
Show Answer & Explanation
Correct Answer: A
To find x, first add 3 to both sides: 2x = 16. Then divide both sides by 2, giving x = 8.
Q5
Medium
Solve the equation 3(x - 2) = 2(x + 3) for x.
A. 1
B. 2
C. 0
D. -1
Show Answer & Explanation
Correct Answer: A
Distributing both sides gives 3x - 6 = 2x + 6. Isolate x by subtracting 2x from both sides, resulting in x = 1.
Q6
Medium
If x + 4 = 2x - 5, what is the correct value of x?
A. 9
B. 1
C. -1
D. 5
Show Answer & Explanation
Correct Answer: A
Rearranging the terms gives x - 2x = -5 - 4, resulting in -x = -9 or x = 9 after multiplying both sides by -1.
Q7
Medium
Solve for y in the equation 5y + 15 = 0.
A. -3
B. 3
C. 0
D. -15
Show Answer & Explanation
Correct Answer: A
To isolate y, first subtract 15 from both sides, giving 5y = -15. Then divide both sides by 5, resulting in y = -3.
Q8
Hard
If 3x + 5 = 20 - 2x, what is the value of x?
A. 3
B. 2
C. 5
D. 4
Show Answer & Explanation
Correct Answer: A
To solve for x, we first rearrange the equation: 3x + 2x = 20 - 5, which simplifies to 5x = 15. Thus, x = 15 / 5 = 3.
Q9
Hard
Which of the following equations represents a line that is perpendicular to the line represented by the equation 2x + 3y = 6?
A. 3x - 2y = 1
B. 2x + 3y = 9
C. -3x + 2y = 4
D. x + y = 5
Show Answer & Explanation
Correct Answer: A
The original line has a slope of -2/3 (from rearranging to y = mx + b). A line perpendicular to it must have a slope of 3/2, which is represented in option A (3x - 2y = 1).
Q10
Hard
The quadratic equation x^2 - 6x + 8 = 0 has roots. What is the sum of the roots?
A. 8
B. 6
C. 4
D. -8
Show Answer & Explanation
Correct Answer: B
The sum of the roots of a quadratic equation ax^2 + bx + c = 0 is given by -b/a. Here, a = 1 and b = -6. Therefore, the sum of the roots is -(-6)/1 = 6. Hence, the correct answer is B.

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Equations — KCSE (Kenya) KCSE Mathematics Practice Questions Online

This page contains 135 practice MCQs for the chapter Equations in KCSE (Kenya) KCSE Mathematics. The questions are organized by difficulty — 34 easy, 67 medium, 34 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.