### Grade 7 Maths Algebraic Expressions Multiple Choice Questions (MCQs)

1. **Write the expression for the statement: the sum of three times x and 11?**

(a) x + 3 + 11

(b) 3x + 11

(c) 3 + 11x

(d)3x – 11

2. **Identify the coefficient of x in expression 8 – x + y**

(a)0

(b) 8

(c) -1

(d) 1

3. **The number of terms in 4p ^{2}q – 3pq^{2 }+ 5 is:**

(a) 7

(b) 3

(c) 1

(d) 4

4. **The expression for sum of numbers a and b subtracted from their product is:**

(a) a + b – ab

(b) ab – a + b

(c) ab – (a + b)

(d) ab + a – b

5. **The constant term in the expression 1 + x ^{2} + x is:**

(a) 1

(b) 2

(c) x

(d) x

^{2}

6. **What is the numerical coefficient of y ^{2} in the expression 2x^{2}y – 15xy^{2 }+ 7y?**

(a) -15x

(b) -15

(c) 2

(d) 7

7. **The expression x + y – xy is:**

(a) Monomial

(b) Binomial

(c) Trinomial

(d) Quadrinomial

8. **The expression xyz is:**

(a) Monomial

(b) Binomial

(c) Trinomial

(d) Zero polynomial

9. **From the following expressions 10pq, 7p, 8q, -p ^{2}q^{2}, -7pq, -23, ab, 3a, b. The like terms are:**

(a) 3, 7p

(b) 10pq, -7pq

(c) ab, 3a, b

(d) 10pq, 7p, 8q

10. **From the following expressions 3ab, a ^{2}, b^{2}, a, 5ab, -2ab, 2a^{2} the three like terms are:**

(a) 3ab, 5ab, -2ab

(b) a

^{2}, a, 2a

^{2}

(c) 3ab, a

^{2}, b

^{2}

(d) 2a

^{2}, a

^{2}, a

11. **The value of 21b – 32 + 7b – 20b is:**

(a) 48b – 32

(b) -8b – 32

(c) 8b – 32

(d) 28b – 52

12. **The value of expression 7a – 4b for a = 3, b = 2 is:**

(a) 13

(b) 7a – 6b

(c) 21a – 8b

(d) 29

13. **Factors of the term 15x ^{2} in the expression 15x^{2} – 13x are:**

(a) 15, x, x

(b) 15, -13

(c) 15x

^{2}, -13x

(d) 15

14. **Factors of the terms -4pq ^{2} in the expression 9p^{2}q^{2} – 4pq^{2} are:**

(a) 9p

^{2}q

^{2}, -4pq

^{2}

(b) 9, -4

(c) -4, p, q, q

(d) -4

15. **The value of expression 5n ^{2} + 5n -2 for n = -2 is:**

(a) 13

(b) 3

(c) 8

(d) 12

16. **What must be subtracted from 2a + b to get 2a – b?**

(a) 2b

(b) 4a

(c) 0

(d) 4a + 4b

17. **On simplifying (a + b – 3) – (b – a + 3) + (a – b + 3) the result is:**

(a) a – b + 3

(b) a – b – 3

(c) 3a – b – 3

(d) 3a + b + 3

18. **What should be value of ‘a’ if y ^{2} + y – a equals to 3 for y = 1**

(a) -1

(b) -5

(c) 5

(d) 0

19. **What is the statement for the expression 2y – 9?**

(a) 2y subtracted from 9

(b) 9 subtracted from y and multiplied by 2

(c) 9 subtracted from 9

(d) twice of y minus 9

20. **The equation for the statement: one forth of a number minus 4 gives 4.**

(a) 4x – 4 = 4

(b) – 4 = 4

(c) x – 4 = 4

(d) x – 4 =

### Grade 7 Maths Algebraic Expressions Fill In The Blanks

1. The numerical coefficient of a in -3ab^{2} is ……………… .

2. Number of terms in the expression 3x^{2}y – 2y^{2}z – z^{2}x + 5 is ………………. .

3. Algebraic expression for 5 subtracted from the product of 2x and 3y is ……………… .

4. The like terms in a^{2}b, – 5ab, 5ba^{2} is ……………… .

5. Product of 5m^{2}n and -3m^{3}n^{2} is …………….. .

6. The product of x(x^{2}y – xy^{2}) is ……………….. .

7. Sum of 2a^{2} – 3ab + 5b^{2}, -3a^{2} + 4ab + 3b^{2} is …………….. .

8. The value of the 2a^{3} + 3a^{2} + 2a – 7 when a= -2 is ………………. .

9. Number of diagonals we can draw from one vertex of a quadrilateral is ……………….. .

10. Number of diagonals we can draw from one vertex of a pentagon is ………………… .

### Grade 7 Maths Algebraic Expressions Very Short Answer Type Questions

1. Pallavi spends ₹ x daily and saves ₹ y per day. What is her income after 3 weeks?

2. If P = -10, find the value of P^{2} – 2P – 100.

3. If a + b = 6, then find the value of .

4. Add 4x^{2}y, 8x^{2}y and -2x^{2}y.

5. How many diagonals we can draw from one vertex of a polygon of ‘n’ sides?

6. How many diagonals we can draw from one vertex of a heptagon?

### Grade 7 Maths Algebraic Expressions Short Answer Type Questions

1. What should be added to a^{2} + ab + b^{2} to obtain 4ab + b^{2}?

2. The length of a rectangular field is 6m less than three times its breadth. Find the dimensions of the rectangle if its perimeter is 148 m.

3. Collect like terms and simplify the expression:

12m^{2} – 9m + 5m – 4m^{2} – 7m + 10

4. What should be subtracted from a^{3} – 4a^{2} + 5 a to obtain a^{2} – 2a + 1?

### Grade 7 Maths Algebraic Expressions Long Answer Type Questions

1. From the sum of 5y^{2} + 7yz, -5y^{2} – yz – z^{2} and 4yz + 3z^{2}, subtract the sum of 5y^{2} – 3z^{2} and 8y^{2} + yz – 6z^{2}.

2. In an isosceles triangle, the base angles are equal, the vertex angle is twice either the base angle. What are the degree measures of the angles of triangle?

3. A bag contains 25 paise and 50 paise coins whose total values is ₹ 30. If the total number of 25 paise coins is four times that of 50 paise coins, find the number of each type of coins.