Q1 Easy
Simplify: (a + b + c)² - (a² + b² + c²)
A 2(ab + bc + ca) B ab + bc + ca C 2abc D 0
Q2 Easy
If 4(x - 3) = 20, what is the value of x?
A 5 B 8 C 12 D 17
Q3 Easy
Expand: (2m + 3n)(2m - 3n)
A 4m² - 9n² B 4m² + 9n² C 4m² - 6mn - 9n² D 2m² - 3n²
Q4 Easy
If x + 1/x = 5, find x² + 1/x².
A 25 B 23 C 27 D 20
Q5 Easy
If p - q = 7 and pq = 12, find p² + q².
A 49 B 61 C 73 D 97
Q6 Easy
If 3x + 7 = 22, find the value of x.
A 3 B 5 C 7 D 9
Q7 Easy
If the discriminant of the equation 3x² - 6x + m = 0 is 0, find the value of m.
A 3 B 6 C -3 D 12
Q8 Easy
If (x + 3) is a factor of the polynomial x² + 7x + 12, what is the other linear factor?
A (x + 2) B (x + 4) C (x + 5) D (x + 6)
Q9 Easy
If the polynomial p(x) = x² - 5x + 6 has roots α and β, what is the value of α + β?
A 5 B -5 C 6 D 1
Q10 Easy
What is the remainder when p(x) = x³ + 2x² - 5x + 3 is divided by (x - 1)?
A 0 B 1 C 3 D -1
Q11 Easy
If x² - 7x + 12 = 0, find the sum of the roots of the equation.
A 5 B 7 C -7 D 12
Q12 Exam Pattern Easy
What is the product of the roots of the equation 2x² - 8x + 6 = 0?
A 6 B 4 C 3 D -4
Q13 Easy
If the roots of a quadratic equation are 4 and 5, what is the equation?
A x² + 9x + 20 = 0 B x² - 9x + 20 = 0 C x² - 9x - 20 = 0 D x² + 9x - 20 = 0
Q14 Easy
For the equation x² + 6x + k = 0, if one root is 2, find the value of k.
A -16 B 16 C -8 D 8
Q15 Easy
What is the degree of the polynomial 4x³ + 2x² - 7x + 5?
A 2 B 3 C 4 D 5
Q16 Exam Pattern Easy
Simplify: (2x + 3)(2x - 3)
A 4x² - 9 B 4x² + 9 C 4x² - 6x - 9 D 2x² - 9
Q17 Easy
Solve for y: 5y - 12 = 2y + 9
A 5 B 7 C 9 D 12
Q18 Easy
Simplify: (x + 5)² - (x - 5)²
A 10x B 20x C 50 D x² + 50
Q19 Easy
If (a + b)² = 81 and ab = 18, find the value of a² + b².
A 36 B 45 C 63 D 99
Q20 Easy
A number is such that when 8 is subtracted from it, the result is 24. Find the number.
A 16 B 24 C 32 D 40
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