Algebraic Expressions Test

Result

Algebraic Expressions Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

Sham earns Rs. x everyday and spends Rs. y per week. What are his savings in 4 weeks?

A
Rs. (20x - 4y)

B
Rs. (28x - 4y)

C
Rs. (24 x - 6y)

D
Rs. (26x - 8y)

Solution

Amount of money earned in one day = Rs. x
So, amount of money earned in 7 days = Rs. 7x
So, amount of money earned in 4 week = 4 × 7x = Rs. 28x

Amount of money spend in 1 week = Rs. y
So, amount of money spend in 4 weeks = Rs. 4y

Total income = Rs. 28x
Total expenses = 4y
= Rs. (28x - 4y)
Question 2
1 / -0

An air conditioner costs Rs. 165.50s. Additional stabiliser costs Rs. 25s. What is the total cost of 4 air conditioners and 6 additional stabilisers?

A
Rs. 607s

B
Rs. 687s

C
Rs. 787s

D
Rs. 812s

Solution

Cost of 1 air conditioner = Rs. 165.50s

Therefore, cost of 4 air conditioners = (4 × 165.50s) = Rs. 662s

Cost of 1 additional stabiliser = Rs. 25s

Therefore,
Cost of 6 additional stabilisers = 6 × 25s = Rs. 150s

So, total cost = (Rs. 662s + Rs. 150s) = Rs. 812s
Question 3
1 / -0

Fill in the blanks:

1. Terms which have the same algebraic factors are ______ terms.
2. An algebraic expression of more than three terms is called a _______.
3. m × m has two factors, so to express it we can write: m × m = _______.
4. The ________ of two like terms is a like term with coefficient equal to the sum (or difference) of the coefficients of the two like terms.

A
like, polynomial, m², sum or difference

B
unlike, binomial, m², sum

C
like, trinomial, m², difference

D
unlike, polynomial, m³, sum or difference

Solution

1. Terms which have the same algebraic factors are like terms..
2. An algebraic expression of more than three terms is called a polynomial.
3. m × m has two factors, so to express it we can write: m × m = m².
4. The sum or difference of two like terms is a like term with coefficient equal to the sum (or difference) of the coefficients of the two like terms