Q1 Easy
Simplify: (x + 4)(x - 4) - (x + 2)²
A -4x - 20 B -4x + 12 C 2x - 20 D -20
Q2 Easy
Solve for y: 3(y - 4) = 15
A 4 B 7 C 9 D 11
Q3 Easy
Simplify: (a + b)² - (a - b)²
A 2ab B 4ab C 4a² + 4b² D 0
Q4 Easy
If p - q = 5 and pq = 24, find the value of p² + q².
A 25 B 48 C 73 D 97
Q5 Easy
Expand: (2m + 3n)²
A 4m² + 9n² B 4m² + 6mn + 9n² C 4m² + 12mn + 9n² D 2m² + 12mn + 3n²
Q6 Easy
If a + b + c = 15 and ab + bc + ca = 72, find the value of a² + b² + c².
A 81 B 144 C 225 D 369
Q7 Easy
If p(x) = x³ - 6x² + 11x - 6 and (x - 1) is a factor, find the other two factors.
A (x - 2) and (x - 3) B (x + 2) and (x + 3) C (x - 2) and (x + 3) D (x + 1) and (x - 6)
Q8 Easy
If x + y = 12 and xy = 35, find the value of x² + y².
A 70 B 74 C 109 D 144
Q9 Easy
If 5x + 12 = 37, find the value of x.
A 3 B 5 C 7 D 9
Q10 Easy
What is the degree of the polynomial 4x⁵ + 3x³ - 2x + 7?
A 3 B 4 C 5 D 7
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 Easy
What is the product of the roots of the equation 2x² - 8x + 6 = 0?
A 6 B 4 C 3 D -3
Q13 Easy
If one root of the equation x² - 5x + k = 0 is 2, find the value of k.
A 4 B 6 C 10 D -6
Q14 Easy
Find the roots of the equation x² - 6x + 8 = 0.
A 2 and 4 B 2 and 3 C 3 and 4 D 1 and 8
Q15 Easy
If the discriminant of the equation 3x² + bx + 4 = 0 is 0, find the value of b.
A ±4√3 B ±12 C ±√48 D ±8
Q16 Easy
Solve for z: 6z + 8 = 2z + 24
A 2 B 3 C 4 D 5
Q17 Easy
If (x + 3) is a factor of the polynomial p(x) = x² + 5x + 6, what is the value of p(-3)?
A 0 B 6 C -6 D 3
Q18 Easy
What is the remainder when p(x) = 2x³ + 3x² - 5x + 4 is divided by (x - 1)?
A 2 B 4 C 5 D 3
Q19 Easy
Simplify: (x + 2)(x - 2) - (x + 1)²
A -2x - 5 B -2x + 3 C 2x - 5 D -5
Q20 Easy
If 2x - 5 = x + 3, what is the value of x?
A 2 B 5 C 8 D 10
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