BUDS PUBLIC SCHOOL, DUBAI
Worksheet Algebraic Expressions GRADE 7
Multiple Choice Questions:
1. The Coefficient of x in x
2
- 8x +5 is a) 1 b) -8 c) 8 d) 5
2. The Trinomial is an algebraic expression with a) Degree 2 b) 2 terms c) 3 terms d) None
3. The degree of the polynomial x 3 +7x 4 +6 is a) 7 b) 4 c) 13 d) 6
4. Which of the following are like terms? a) 7x,2y b) 8p,3q c) 2m
2
, 5m
2
d) 19p,7q
5. The value of -12a+4a is______ . a) 8a b) -8a c) 10a d) 13a
MUST KNOW
1. Simplify each of these expressions a) 9a - 2a (b) 19b - 12b (c) x + x (d) 6n + n (e) 4ab + 7ab – 2ab (f) 9xy + 4yx (g)
8a – a + 2a
2. Identify the following as like or unlike terms a) 5x, 3x, 8x b) 3ab, 4ab, 7bc c) 7x 2 y, -4x 2 y, 5x 2 y d) 8x 2 y, -5xy 2 , 4x 2 y 2 e) 9abc, 3ab, 3ac 2
3. Simplify the following expressions by adding or subtracting the like terms. a) 5x + 7h + 3g - 5z b) 3x2 +2x -2x 2 + 3x +x 2 c) 6ab + 3bc – 4ab + bc d) t + 6n + 7t - 5n
4. Simplify the following. a) 2ab + 3bc – 5ab + bc b) 3x + 7x – 12x + 5x c) 10t + 5q + t – 7q d) 3m + 2g – 5g – 4m
5. Find the sum of a) -7xy –d - x + 9xy, 3x – d b) 3a + 4b + 5c, 6a - 5b – 4c, -3a + 2b + 3c c)3a + b; 5a+2b;3a –b d) 5x - 4; 3x + 6; 5x - 4; 3x + 6 e) 5z + 7x + 3; 12z - 3x + 8; 6z - 4x +

6. Simplify the following. a) 5ax - 3ay + 3ax + 2ay b) 5g – 7h – 10g + 4h c) 3e + 5f – 5e + 4f
7. Subtract. a) 2ab from 6ab b) -5a from 3a c) -18 ab from 20ab d) 3b from 7b e) -8w from -9w
GOOD TO KNOW
1. Add the following. a) -14 x– 17y b) -5x 6 + 3x 4 - 4x 3 c) –a + 2b – 3c d) 5a + 3ab
– 6y
-10x - 18y 9x 6 + 4x 4 +20x 3 3a + 5b -2c 7a - 8ab
2. Find the sum of a) 7x 2 – 2x + 5; -2x 2 - 11x + 3; -2x 2 – 2x – 4 b) 5x 2 + 3xy + y 2 ; x 2 – 5xy + y 2 ;
-4x 2 - 3y 2
3. Subtract a) 6a + 4b from 2a + 3b b) -9a - 7b from - 3a - 4b c) 16m + 12n from 14m
– 30n d) 3a 2 + 6b from 3a 2 + 6b e) -3m 2 + 6m + 3 from 5m 2 – 9 f) 3x – 4z from 9x + 8y +9z (e) 6a -3b from -8a + 9b
5. Write the degree of the polynomials. a) x 2 y 3 + x 2 y 7 + y – 7 b) 7x 7 + 8y 8 + 3z 3 c) 4x + 3y + z d) 7/9
6. Arrange the following polynomials in descending order. 1)4x 2 + 1 + 4x 4 – 3x 3 (2) 5a 3 + 4a 5 – 3a 6
-1
3) -2x 2 y 2 + 7xy 2 + 7xy 3 – 3x 3 y 3 – 5x 6 y 4) 3x 2 y 2 z – 5xy 3 – 5xy 4 z – 3x 2 y 4 z 2 (5) 5x 6 – y 3 + 5xy 7
FUN TO KNOW
1. How much smaller is 2x 2 – 2x + 5 than 7 + 5x 2 + 3x?
2. How much larger is 9x 2 – 8y 2 than 5x 2 – 3y 2 ?
3. The sides of a rectangle are 3x + y and 7x + 2y. Find its perimeter.
4. Sonu travelled p 2 + 3p + 5 kilometers by bus and 2p 3 - 5p – 7 kilometers by train. What is the total distance travelled by Sonu?
5. Raju spends 3x + 4y rupees for a book and 7 – 8y rupees for a shirt. How much does he spend in all?
6.Three sides of a triangle are 2x 2 + 3x + 1, x 2 + 7 and 3x 2 – 2x + 3.What is its perimeter?
7. Find the perimeter of a triangle whose sides are 3x + y, 5x + 2y, and 3x – y?
8. One side of an equilateral triangle is 3x + 4y meters. Find its perimeter.
9. A wire is 7x – 3 meters long. A length of 3x + 4 meters is cut for use. How much wire is left?

10. Rohan had 17x 2 + 4x – 3 rupees with him. He spent 8x 2 – 7x – 9 rupees for his birthday party. How much money is left with him?
11. In a school, 8a 2 + 4a + 9 students were enrolled. 2a 2 – 9a +2 students were boys. How many girls were enrolled?
12. Santhosh spends Rs.7x – 4 for a shirt and Rs.2x + 8 for a pair of trousers. If he gives the shopkeeper a
1000 rupee note, how much will he get back?