Daily Practice Problems Framing Algebraic Expressions (Including Substitution)

Question 1:

Write in the form of an algebraic expression surface area of a cube is six times the square of its edge? [Level: Easy]

(a) 6a

(b) 6a²

(d) 6a³

Question 2:

What is the algebraic expression of the subtraction of 6 from 6x²? [Level: Easy]

(a) 6x²-6

(b) 6x² + 6

(d) x – 6x²

Question 3:

Express each of the following as an algebraic expression the product of 5, x, y minus the product of 3, m and n. [Level: Moderate]

(a) 12xyz – 5mn

(b) 5mn – 12xyz

(d) 5mn - 12

Question 4:

Construct a formula for the following:

Total wages (Rs. W) of a man whose basic wage is (Rs. B) for t hours a week plus overtime at (Rs. R) per hour, if he works a total of T hours.? [Level: Moderate]

(a) Rs. W = Rs. B – Rs. R (T - t)

(b) Rs. W = Rs. B + Rs. R (T - t)

(d) Rs W = Rs. B + Rs. (T – t)

Question 5:

Teacher writes the question to find T, if T = 5a - 2b, a = 7 and b = 3? [Level: Moderate]

(a) 27

(b) 28

(d) 30

Question 6:

Kashvi asked from Shyna that if a= 1, b = 2 and c = 4, find the value of 3ab + 10bc - 2abc? [Level: Moderate]

(a) 50

(b) 70

(d) 20

Question 7:

In the class, teacher asked from students that if p = 2, q =1 and r =3, find the value of ? [Level: Moderate]

(a)

(b)

(c)

(d)

Question 8:

Teacher writes question to find the value of a^b + b^c when a = 2, b = 3 and c = 4? [Level: Moderate]

(a) 86

(b) 87

(d) 89

Question 9:

Teacher gives a hint to solve the expression that by substitute the value of x = 1, What is the value of x³ - 8x² + 12x - 5? [Level: Moderate]

(a) 1

(b) 0

(d) -1

Question 10:

If m = 2, find the difference between the values of 8m³ and 2m⁴? [Level: Moderate]

(a) 36

(b) 34

(d) 39

Question 11:

When there is - ve (negative) sign before a pair of brackets, the sign of each term inside the brackets __________. [Level: Easy]

(a) does not change

(b) changes

(d) None of these

Question 12:

Ram try to solve the algebraic expression 9a - {a + (a - 2 - a)}. Can you help him to solve it? [Level: Moderate]

(a) 6a + 2

(b) 6a - 2

(d) a - 2

Question 13:

Teacher writes the expression on the board that to simplify 5a - 2 {b - (a - b)}? [Level: Moderate]

(a) 7a + 4b

(b) 7a - 4b

(d) a – 11b

Question 14:

Shanti wants to solve the expression 6a² + (2a² - a²) - (a² - b²) but not able to solve then she asked help from Riya. Can you all help Riya and shanti to solve this expression?

(a) 6a² + b²

(b) 6a² – b²

(d) a² – b²

Question 15:

Simplify the algebraic expression x + 3 (x - 2y). [Level: Easy]

(a) 4x – 6y

(b) 2x – 3y

(d) 2x + 3y

Question 16:

In an examination question asked to fill in the blanks for the algebraic expression x² - y² - z² = x² - ( __________ ). [Level: Easy]

(a) y² – z²

(b) y² + z²

(d) z²

Question 17:

Jiya solving the exercise of algebraic expression where she stuck to Simplify the algebraic expression a – [ -{-(a-b-c)}]? [Level: Difficult]

(a) b + c

(b) b -c

(d) 2b + c

Question 18:

If the value of a= 2, b = 1, c = 2 and d = -1 then find the value of a² + b² - c² + d²? [Level: Difficult]

(a) 4

(b) 5

(d) 3

Question 19:

The algebraic expression is trying to solve by Rashmi by substitute the value of variable as -1 then find the value of 2x³ - 2x² + 5x - 6? [Level: Difficult]

(a) -12

(b) -14

(d) -18

Question 20:

Simplify the algebraic expression p + (- p - r - s) - (p - q - r)? [Leve: Difficult]

(a) -p+q-s

(b) s-p-q

(d) p+q+r

**********

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Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on ICSE 6 Maths Framing Algebraic Expressions (Including Substitution) NCERT Chapter 15

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on ICSE 6 Maths Framing Algebraic Expressions (Including Substitution) NCERT Chapter 15 useful.

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