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| Maths Quiz for Class 7 Linear Equations |
In this post, you will find 20 online maths quiz questions for class 7 linear equations. Online maths quiz will take around 20 minutes to complete it.
Question 1: Which of the following is a linear equation in one variable?
A) x + 2y = 5
B) 4x + 3y = 7
C) 2x + 5 = 9
D) 3x2 + 4x = 10
Explanation: 2x + 5 = 9 is a linear equation in one variable.
Question 2: How many values of x will satisfy the equation 5x + 11 = 21?
A) 1
B) 2
C) 3
D) 4
Explanation: 5x + 11 = 21 is a linear equation, so, it has only one solution.
Question 3: Write the equation for the statement “the sum of a number and 4 is equal to 12”.
A) x + 4 = 12
B) x + 12 = 4
C) 4x + 4 = 12
D) 4x + 1 = 12
Explanation: The required equation is x + 4 = 12.
Question 4: What is the linear equation for the statement “twice of a number added to 7 gives 19”?
A) 7x + 2 = 19
B) 2x + 7 = 19
C) x + 7 = 19
D) 2x + 7x = 19
Explanation: The required linear equation is 2x + 7 = 19.
Question 5: Write statement for the equation 3x – 4 = 13.
A) Thrice a number subtracted from 4 gives 13
B) Thrice a number decreased by 4 gives 13
C) A number subtracted from 4 gives 13
D) A number decreased by 4 gives 13
Explanation: The correct statement is “Thrice a number decreased by 4 gives 13”.
Question 6: The solution of the equation x + 9 = 15 is _________.
A) x = 4
B) x = 5
C) x = 6
D) x = 7
Explanation: x + 9 = 15 => x = 15 – 9 => x = 6
Question 7: The solution of the equation 3x – 7 = 14 is _________.
A) x = 6
B) x = 7
C) x = 5
D) x = 8
Explanation: 3x – 7 = 14 => 3x = 14 + 7 => 3x = 21 => x = 21/3 => x = 7
Question 8: Solve: 5x – ½ = 17
A) x = 9/2
B) x = 5/2
C) x = 7
D) x = 7/2
Explanation: 5x – ½ = 17 => 5x = 17 + ½ => 5x = 35/2 => x = 35/10 => x = 7/2
Question 9: Solve: 2x – 9 = 11
A) x = 10
B) x = 11
C) x = 12
D) x = 9
Explanation: 2x – 9 = 11 => 2x = 11 + 9 => 2x = 20 => x = 20/2 => x = 10
Question 10: The solution of the equation 7x + 13 = 2x + 23 is ___________
A) x = 5
B) x = 4
C) x = 2
D) x = 3
Explanation: 7x + 13 = 2x + 23 => 7x – 2x = 23 – 13 => 5x = 10 => x = 10/5 => x = 2
Question 11: Solve: x/13 = 3
A) x = 13
B) x = 39
C) x = 16
D) x = 10
Explanation: x/13 = 3 => x = 3 × 13 => x = 39
Question 12: Solve: 8x = 72
A) x = 8
B) x = 9
C) x = 10
D) x = 12
Explanation: 8x = 72 => x = 72/8 => x = 9
Question 13: Solve: 6(x – 5) = 48
A) x = 13
B) x = 12
C) x = 11
D) x = 10
Explanation: 6(x – 5) = 48 => x – 5 = 48/6 => x – 5 = 8 => x = 8 + 5 => x = 13
Question 14: If 5 is subtracted from four times a number, the result is 27. Find the number.
A) 5
B) 6
C) 7
D) 8
Explanation: Let the number be x. According to the question, 4x – 5 = 27 => 4x = 27 + 5 => 4x = 32 => x = 32/4 => x = 8. Thus, the number is 8.
Question 15: If one number is 6 more than the other number and their sum is 38, find the smaller number.
A) 14
B) 15
C) 16
D) 22
Explanation: Let the smaller number be x. Then the bigger number is x + 6. According to the question, x + x + 6 = 38 => 2x + 6 = 38 => 2x = 38 – 6 => 2x = 32 => x = 32/2 => x = 16. Thus, the smaller number is 16 and bigger number is 22.
Question 16: Himanshu’s age after 4 years will be 18 years. Find his present age.
A) 12 years
B) 14 years
C) 15 years
D) 16 years
Explanation: Let Himanshu’s present age be x years. Age after 4 years = (x + 4) years. According to the question, x + 4 = 18 => x = 18 – 4 => x = 14. Thus, Himanshu’s present age is 14 years.
Question 17: The age of Riya is one-third the age of her mother. If the sum of their ages is 52, find the age of Riya.
A) 13 years
B) 26 years
C) 39 years
D) 12 years
Explanation: Let the age of Riya’s mother be x years. Then the age of Riya is x/3 years. According to the question, x + x/3 = 52 => 4x/3 = 52 => 4x = 52 × 3 => 4x = 156 => x = 156/4 => x = 39. Riya’s age = x/3 = 39/3 = 13 years
Question 18: Three sides of a triangle are (3x + 2) cm, (2x + 5) cm and (x + 3) cm. If its perimeter is 40 cm, find the smallest side of the triangle.
A) 17 cm
B) 15 cm
C) 8 cm
D) 10 cm
Explanation: Perimeter of a triangle = Sum of all the sides. 3x + 2 + 2x + 5 + x + 3 = 40 => 6x + 10 = 40 => 6x = 40 – 10 => 6x = 30 => x = 30/6 => x = 5. Thus, the sides are (3 × 5 + 2) cm, (2 × 5 + 5) cm and (5 + 3) cm, i.e., 17 cm, 15 cm and 8 cm. The smallest side is 8 cm.
Question 19: The sum of two consecutive odd numbers is 76. Find the numbers.
A) 35 and 37
B) 37 and 39
C) 39 and 41
D) 33 and 35
Explanation: Let the two consecutive odd numbers be x and x + 2. Their sum = x + x + 2 = 76 => 2x + 2 = 76 => 2x = 76 – 2 => 2x = 74 => x = 74/2 => x = 37. Thus, the consecutive odd numbers are 37 and 39.
Question 20: Three angles of a triangle are x°, (x + 20)° and 60°. Find the largest angle of the triangle.
A) 50°
B) 60°
C) 70°
D) 80°
Explanation: x° + (x + 20)° + 60° = 180° => x° + x° + 20° + 60° = 180° => 2x° + 80° = 180° => 2x° = 180° – 80° => 2x° = 100° => x = 100°/2 => x = 50°. Thus, the angles are 50°, 70° and 60°. The largest angle is 70°.
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