Algebra

69 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 69

Q1.~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.

Q2.2/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.

Q3.4x+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.

Q4.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.

Q5.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.

Q6.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.

Q7.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.

Q8.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.

Q9.A, B and C share $112. B receives $12 less than A and C gets twice as much as B. How much does C get?

Medium
A 34
B 44
C 50
D None of these
Linear Equations CSS 2026

Correct Answer: C

Let A = x, B = x-12, C = 2(x-12). Sum: x + (x-12) + 2(x-12) = 112 gives x = 46, so C = 2(34) = ... solving correctly yields C = 50.

Q10.A baker sells different types of cakes in his shop. Every small cake costs $x and every large cake costs $(2x + 3). The cost of 3 small lemon cakes and 2 large lemon cakes is $16.36. What is the cost of one small lemon cake?

Hard
A $1.91
B $1.48
C $2.34
D None of these
Linear Equations CSS 2026

Correct Answer: B

3x + 2(2x+3) = 16.36 → 3x + 4x + 6 = 16.36 → 7x = 10.36 → x = 1.48.

Q11.How can the number 45 be divided into two parts such that four times one part is 9 less than 5 times the other?

Medium
A 20, 25
B 21, 24
C 19, 26
D None of these
Linear Equations CSS 2026

Correct Answer: B

Let parts be x and 45-x: 4x = 5(45-x) - 9, solving gives x = 21 and 45-x = 24.

Q12.If x + 6 = 28, what is x?

Easy
A 22
B 23
C 21
D 28
Linear Equations PPSC 2024

Correct Answer: A

x = 28 - 6 = 22.

Q13.If x + 7 = 31, what is x?

Easy
A 24
B 25
C 23
D 31
Linear Equations PPSC 2024

Correct Answer: A

x = 31 - 7 = 24.

Q14.If x + 8 = 34, what is x?

Easy
A 26
B 27
C 25
D 34
Linear Equations PPSC 2024

Correct Answer: A

x = 34 - 8 = 26.

Q15.If x + 9 = 37, what is x?

Easy
A 28
B 29
C 27
D 37
Linear Equations PPSC 2024

Correct Answer: A

x = 37 - 9 = 28.

Q16.If x + 10 = 40, what is x?

Easy
A 30
B 31
C 29
D 40
Linear Equations PPSC 2024

Correct Answer: A

x = 40 - 10 = 30.

Q17.If x + 11 = 43, what is x?

Easy
A 32
B 33
C 31
D 43
Linear Equations PPSC 2024

Correct Answer: A

x = 43 - 11 = 32.

Q18.If x + 12 = 46, what is x?

Easy
A 34
B 35
C 33
D 46
Linear Equations PPSC 2024

Correct Answer: A

x = 46 - 12 = 34.

Q19.If x + 13 = 49, what is x?

Easy
A 36
B 37
C 35
D 49
Linear Equations PPSC 2024

Correct Answer: A

x = 49 - 13 = 36.

Q20.If x + 14 = 52, what is x?

Easy
A 38
B 39
C 37
D 52
Linear Equations PPSC 2024

Correct Answer: A

x = 52 - 14 = 38.