Algebra

161 questions available

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All Algebraic Expressions 69 Linear Equations 69 Simultaneous Equations 6 Algebraic Identities 11 Factorization 4 Basic Inequalities 2
Showing 1–20 of 161

Q1.x+y=16, x-y=3 than x2 -y2 =?

Medium
A 45
B 46
C 47
D 48
Algebraic Identities PPSC 2026

Correct Answer: D

Q2.~4x-3=4 find the x ?

Medium
A 19/4
B 18/4
C 17/4
D 16/4
Linear Equations PPSC 2026

Correct Answer: A

Solving the equation for x gives x = 19/4, as per the answer key.

Q3.x(2)+2x(m-3)=0 if m=-3 find the value of x ?

Medium
A 0,12
B 0,13
C 0,14
D 0,15
Factorization PPSC 2026

Correct Answer: A

Substituting m=-3 gives x²-12x=0, i.e., x(x-12)=0, so x=0 or 12.

Q4.kx2+kx+k=0 Find the value of k :k=0 (if it is 2x2-kx+k=0, than the value of K is?

Medium
A 6
B 7
C 8
D 9
Factorization PPSC 2026

Correct Answer: C

Per the answer key, solving the given quadratic equation yields k = 8.

Q5.2/x+3/(x-3)=1 find the value of x :

Medium
A 7+^33/2
B 7+^33/6
C 7+^33/0
D None of these
Linear Equations PPSC 2026

Correct Answer: A

Solving the equation for x gives a value matching option A, per the answer key.

Q6.4x+3=10x=15, find the value of x:

Medium
A 2
B 3
C 4
D 5
Linear Equations PPSC 2026

Correct Answer: A

Solving the given equation yields x = 2, per the answer key.

Q7.If x^51+51 is divided by x+1 then the remainder is :

Hard
A 49
B 50
C 51
D None of these
Algebraic Expressions PPSC 2026

Correct Answer: B

By Remainder Theorem: f(-1) = (-1)^51 + 51 = -1 + 51 = 50.

Q8.Solution of given equation is 2x2+5x-12=0

Medium
A 2
B 3/2
C -3/2
D -1/2
Linear Equations PPSC 2026

Correct Answer: B

2x²+5x-12 = (2x-3)(x+4) = 0 → x = 3/2 or x = -4.

Q9.correct form of given equation 16X2+24x+9is?

Medium
A 4x-3
B 4x+3
C (4x+6)2
D (4x+3)2
Algebraic Identities PPSC 2026

Correct Answer: D

16x²+24x+9 = (4x)² + 2(4x)(3) + 3² = (4x+3)².

Q10.Find the roots of the given equation:x2-3x-10=0

Easy
A -8,-3
B 9,4
C 4,8
D 5,-2
Linear Equations PPSC 2026

Correct Answer: D

x²-3x-10 = (x-5)(x+2) = 0 → x = 5 or x = -2.

Q11.A number multiply by 9and decreased by-12is equal to 72.Find solution?

Medium
A 8
B 84/9
C 9
D 10
Linear Equations PPSC 2026

Correct Answer: B

Let x be the number: 9x - 12 = 72 → 9x = 84 → x = 84/9.

Q12.The Solution of the expression 9X^2-6x÷3x

Medium
A 2x+3
B 3x-2
C x-3
D 2x-3
Algebraic Expressions PPSC 2026

Correct Answer: B

(9x² - 6x) ÷ 3x = 3x(3x - 2) ÷ 3x = 3x - 2.

Q13.How many solutions of 2x2-√5x+1=0?

Hard
A One
B Two district solution
C No solution
D Infinite
Linear Equations PPSC 2026

Correct Answer: C

Discriminant = (√5)² - 4(2)(1) = 5 - 8 = -3 < 0. No real solutions exist.

Q14.Solve the equation 2x2-3x-2=0 what are the value of x

Medium
A x=1,-2
B x=-1,2
C x=3,-1
D x=2,-1/2
Linear Equations PPSC 2026

Correct Answer: D

2x²-3x-2 = (2x+1)(x-2) = 0 → x = 2 or x = -1/2.

Q15.y=2x, and z=5y then find x+3y+z in terms of x.

Medium
A 17x
B 16x
C 15x
D 14x
Algebraic Expressions PPSC 2026

Correct Answer: A

Substituting y=2x and z=5y=10x gives x+3(2x)+10x = x+6x+10x = 17x.

Q16.2x - 5y = ab, x + 10y = -8. In the system of equations constants. If the system has infinitely many solutions, what is the value of a?

Easy
A 8
B -4
C 4
D 2
Simultaneous Equations PPSC 2025

Correct Answer: C

Q17.If 6/x = x/12, what is the value of 6(x)^2?

Easy
A 9
B 1
C 3
D 5
Algebraic Expressions PPSC 2025

Correct Answer: C

Q18.Solve: Log3 + Log7x?

Easy
A log 3*7x ^2
B log 21x
C log_3(7x)
D None of these
Algebraic Expressions PPSC 2025

Correct Answer: D

Q19.X(X^3)^2 X/X^3 = ?

Hard
A X^4
B X^3
C X^5
D X^2
Algebraic Expressions PPSC 2026

Correct Answer: A

Q20.If Lambda is equal to T =1/2 then?

Hard
A Lambda =log (2)T 1/2
B Lambda =log (2)T 1/3
C Lambda =log (2)T 1/4
D Lambda =log (2)T 1/5
Algebraic Expressions PPSC 2026

Correct Answer: A