Introduction to practice pre algebra answers

The word algebra is defined from the Arabic word al–jabr. In Arabic language, ‘al’ represents ‘the’ and ‘jabr’ represents ‘reunion of broken parts’. We can use letters like a, b, x and y to denote numbers. Using the basic operations add (+), subtract (-), Product(x) and Divide (/)or extraction of roots on these symbols and real numbers, we obtain what are called algebraic expressions. This contains following types of problems like Polynomials, Algebraic Identities, and factorization and Division of a Polynomial by a Polynomial.

Practice Pre Algebra Example Problems with Answers

Practice Pre Algebra Example Problems with Answers are given below:

1. Steven has 18 rupees. She buys fruits for 8 rupees. Find the remaining amount with her.

Solution:

We can write it as 18 – 8 = 10

2. Write 25–x=10 as a Mathematical statement.

Solution:

What number is to be subtracted from 25 to get 10?

3. Pick out the variables and constants: A, – 15, q, l, 22.3, and 73

Solution:

The variables are A, q and l

The constants are – 15, 22.3 and 73.

4. Write the following using powers:

(a) 5×m×m×m (b) a×b×a×a×b

Solution:

(a) 5×m×m×m=5m^3

(b) axb×a×a×b=a×a×a×b×b

= a^3×b^2=a^3b^2

5. Write the following algebraic expression in the product form:

(a) 8xy^2 (b) 10p^2 qr^3

Solution:

(a)8xy^2= 8 × x × y × y

(b) 10p^2 qr^3 = 10 × p × p × q × r × r × r

6. Write the coefficient in the following algebraic terms:

(a) The coefficient a in 10a is     10 .

(b) The coefficient of c in 3c is     3  

7. Identify the like and unlike terms:

(a)    12a and 15a -These are like terms

(b)   – 3b and 6c-These are unlike terms because here the variables are different.

8. Add and subtract the algebraic terms 12x and 5x.

Solution:

The above terms are like terms. Hence we can add and subtract directly.

12x + 5x = (12 + 5) x= 17x

12x - 5x = (12 - 5) x= 7x

Practice Pre Algebra Problems for Answers

Practice Pre Algebra Problems for finding answers are given below:

Practice 1: The symbol Δ, in Δ + 5 is called a ___________ .

Practice 2: A quantity which takes different values is called a __________ .

Practice 3: The coefficient of a b in 15ab is____ .

Practice 4: 2×m×n×n×m×m can be written as ____________ .

Practice 5: Add the following terms: 3xy, 7xy and 18xy.