# Grade 7 Algebraic Expressions Worksheets

### 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 4p2q – 3pq2 + 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 + x2 + x is:
(a) 1
(b) 2
(c) x
(d) x2

6. What is the numerical coefficient of y2 in the expression 2x2y – 15xy2 + 7y?
(a) -15x
(b) -15
(c) 2
(d) 7

7. The expression x + y – xy is:
(a) Monomial
(b) Binomial
(c) Trinomial

8. The expression xyz is:
(a) Monomial
(b) Binomial
(c) Trinomial
(d) Zero polynomial

9. From the following expressions 10pq, 7p, 8q, -p2q2, -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, a2, b2, a, 5ab, -2ab, 2a2 the three like terms are:
(a) 3ab, 5ab, -2ab
(b) a2, a, 2a2
(c) 3ab, a2, b2
(d) 2a2, a2, 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 15x2 in the expression 15x2 – 13x are:
(a) 15, x, x
(b) 15, -13
(c) 15x2, -13x
(d) 15

14. Factors of the terms -4pq2 in the expression 9p2q2 – 4pq2 are:
(a) 9p2q2, -4pq2
(b) 9, -4
(c) -4, p, q, q
(d) -4

15. The value of expression 5n2 + 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 y2 + 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) $\frac{4}{x}$ – 4 = 4
(c) $\frac{1}{4}$x – 4 = 4
(d) x – 4 = $\frac{1}{4}$

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

1. The numerical coefficient of a in -3ab2 is ……………… .
2. Number of terms in the expression 3x2y – 2y2z – z2x + 5 is ………………. .
3. Algebraic expression for 5 subtracted from the product of 2x and 3y is ……………… .
4. The like terms in a2b, – 5ab, 5ba2 is ……………… .
5. Product of 5m2n and -3m3n2 is …………….. .
6. The product of x(x2y – xy2) is ……………….. .
7. Sum of 2a2 – 3ab + 5b2, -3a2 + 4ab + 3b2 is …………….. .
8. The value of the 2a3 + 3a2 + 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 P2 – 2P – 100.
3. If a + b = 6, then find the value of $\frac{1}{2} a+\frac{1}{2} b$.
4. Add 4x2y, 8x2y and -2x2y.
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 a2 + ab + b2 to obtain 4ab + b2?
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:
12m2 – 9m + 5m – 4m2 – 7m + 10
4. What should be subtracted from a3 – 4a2 + 5 a to obtain a2 – 2a + 1?

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

1. From the sum of 5y2 + 7yz, -5y2 – yz – z2 and 4yz + 3z2, subtract the sum of 5y2 – 3z2 and 8y2 + yz – 6z2.
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.