Reduce the following expression E = 5w2 × 7

Algebra is the branch of mathematics that deals with unknown quantities by assigning them various letters, symbols, or alphabets, called variables. They are so-called because they are subject to change over a period of time with respect to whatever situation is given, but there is a constant need to represent these changing parameters. The most commonly used variables in algebra are the English alphabets in general and x, y, z in particular.  

Algebraic Expression

In simple words, such expressions are formed with the help of algebra are called algebraic expressions. In mathematics, usually, a number is used to express a quantity. In some cases, though numbers can be expressed using letters or alphabets, or other symbols without mentioning their actual quantities. Further, these individual quantities can be added, subtracted, raised to an exponent, radicalized, multiplied, or even divided to form some kind of expression relevant to the topic on hand.

Reducing an Algebraic Expression

The technique of expressing an expression in the most efficient and compact form without altering the value of the original expression is known as simplification of an algebraic expression.

Collecting like terms, which requires adding or deleting terms in an expression, is part of the process.

Steps

• By multiplying factors, you may get rid of any grouping symbols like brackets and parentheses.
• If the words contain exponents, use the exponent rule to eliminate grouping.
• Add or delete the words that are similar.
• Add the constants together.

Reduce the following expression E = 5w² × 7.

Solution:

E = 5w² × 7 

= 5 × 7 × w²

= 35w²

Similar Problems

Problem 1. Write an equation equivalent to 11/7.

Solution:

E = 11/7

An expression equivalent to E is 22/14.

Problem 2. Reduce the equation: 12p × 19.

Solution:

E = 12p × 19

= 12 × 19 × p

= 228p

Problem 3. Reduce 16w × 99.

Solution:

E = 16w × 99

= 16 × 99 × w

= 1584w

Problem 4. Reduce 3p × 22.

Solution:

E = 3p × 22

= 3 × 22 × p

= 66p

Problem 5. Reduce 14r × 78.

Solution:

E = 14r × 78

= 14 × 78 × r

= 1092r