BUDS PUBLIC SCHOOL, DUBAI

Worksheet Algebraic Expressions GRADE 7

Multiple Choice Questions:

1. The Coefficient of x in x2 - 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 x3+7x4 +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) 2m2, 5m2 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) 7x2y, -4x2y, 5x2y d) 8x2y, -5xy2, 4x2y2 e) 9abc, 3ab, 3ac2

3. Simplify the following expressions by adding or subtracting the like terms.

a) 5x + 7h + 3g - 5z b) 3x2 +2x -2x2 + 3x +x2 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) -5x6 + 3x4 - 4x3 c) –a + 2b – 3c d) 5a + 3ab – 6y

-10x - 18y 9x6 + 4x4 +20x3 3a + 5b -2c 7a - 8ab

2. Find the sum of a) 7x2 – 2x + 5; -2x2 - 11x + 3; -2x2 – 2x – 4 b) 5x2 + 3xy + y2; x2 – 5xy + y2; -4x2 - 3y2

3. Subtract a) 6a + 4b from 2a + 3b b) -9a - 7b from - 3a - 4b c) 16m + 12n from 14m – 30n

d) 3a2 + 6b from 3a2 + 6b e) -3m2 + 6m + 3 from 5m2 – 9 f) 3x – 4z from 9x + 8y +9z (e) 6a -3b from -8a + 9b

5. Write the degree of the polynomials. a) x2y3 + x2y7 + y – 7 b) 7x7 + 8y8 + 3z3 c) 4x + 3y + z d) 7/9

6. Arrange the following polynomials in descending order. 1)4x2 + 1 + 4x4 – 3x3 (2) 5a3 + 4a5 – 3a6 -1

3) -2x2y2 + 7xy2 + 7xy3 – 3x3y3 – 5x6y 4) 3x2y2z – 5xy3 – 5xy4z – 3x2y4z2 (5) 5x6 – y3 + 5xy7

FUN TO KNOW

1. How much smaller is 2x2 – 2x + 5 than 7 + 5x2 + 3x?

2. How much larger is 9x2 – 8y2 than 5x2 – 3y2?

3. The sides of a rectangle are 3x + y and 7x + 2y. Find its perimeter.

4. Sonu travelled p2 + 3p + 5 kilometers by bus and 2p3 - 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 2x2 + 3x + 1, x2 + 7 and 3x2 – 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 17x2 + 4x – 3 rupees with him. He spent 8x2 – 7x – 9 rupees for his birthday party. How much money is left with him?

11. In a school, 8a2 + 4a + 9 students were enrolled. 2a2 – 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?