Students can Download Chapter 11 Algebra Ex 11.3 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 6 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

## Karnataka State Syllabus Class 6 Maths Chapter 11 Algebra Ex 11.3

Question 1.

Make up as many expressions with numbers ( no variables) as you can from three numbers 5, 7 and 8. Every number should be used not more than once. Use only addition, subtraction and multiplication.

(Hint: Three possible expressions are 5 + (8 – 7), 5 – (8 – 7),(5 × 8) + 7; make the other expressions.)

Solution:

Many expressions can be formed by using the 3 numbers 5, 7 and 8 Some of these are as follows 5 × (8 – 7)

5 × (8 + 7)

(8 + 5) × 7

(8 – 5) × 7

(7 + 5) × 8

(7 – 5) × 8

Question 2.

Which out of the following are expressions with numbers only?

a) y + 3

b) (7 × 20) – 8z

c) 5(21 – 7) + 7 × 2

d) 5

e) 3x

f) 5 – 5n

g) (7 × 20) – (5 × 10) – 45 + p

Solution:

It can be observed that the expressions in alternatives (c) and (d) are formed by using numbers only.

Question 3.

Identify the operations(addition, subtraction, division, multiplication) in forming the following expressions and tell how the expressions have been formed.

a) z + 1, z – 1, y + 17, y – 17

Solution:

Addition as 1 is added to z

Subtraction as 1 is subtracted from z

Addition as 17 is added to y

Subtraction as 17 is subtracted from y

b) 17y, \(\frac{y}{17}\), 5z

Multiplication as y is multiplied as y is multiplied with 17

Division as y is divided by 17

Multiplication as z is multiplied with 5

Multiplication as z is multiplied with 5

c) 2y + 17, 2y – 17

Multiplication and addition

y is multiplied with 2, and 17 is added to the result

d) 7m, -7m + 3, -7m – 3

Multiplication with 2 and 17 is subtracted from the result

Multiplication and subtractions m is multiplied by 7 and 3 is subtracted from the result

Question 4.

Give expressions for the following cases.

Solution:

a) 7 added to p

P + 7

b) 7 subtracted from p

P – 7

c) p multiplied by 7

7p

d) p divided by 7

P

e) 7 subtracted from -m

-m – 7

f) -p multiplied by 5

– 5p

g) -p divided by 5

\(\frac{-p}{5}\)

h) p multiplied by -5.

-5p

Question 5.

Give expressions in the following cases.

Solution:

a) 11 added to 2m

2m + 11

b) 11 subtracted from 2m

2m – 11

c) 5 times y to which 3 is added

5y + 3

d) 5 times y from which 3 is subtracted

5y – 3

e) y is multiplied by -8

-8y

f) y is multiplied by -8 and then 5 is added to the result

-8y + 5

g) y is multiplied by 5 and the result is subtracted from 16

16 – 5y

h) y is multiplied by -5 and the result is added to 16

-5y + 16

Question 6.

a) Form expressions using t and 4. Use not more than one number operation. Every expression must have t in it.

Solution:

t + 4, +t – 4, 4 +, \(\frac{t}{4}\), \(\frac{4}{t}\), -4 – t, 4 + t

b) Form expressions using y, 2 and 7. Every expression must have y in it. Use only two number operations. These should be different.

Solution:

2y + 7, 2y – 7, 7y + 2….