Question

L-algebraic expressions
What expression must be added to 8x-x+1 to get 2x+1

Answer 1

Concept:

Algebra and Variables.

Given:

What expression must be added to 8x-x+1 to get 2x+1

Solution

Let the expression to be added be A

then according to the question.

$8x-x+1+A=2x+1\\7x+1+A=2x+1\\7x+A=2x\\A=-5x$

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Answer 2

Answer:

The expression added to 8x-x+1 to get 2x+1 is -5x.

Step-by-step explanation:

Algebraic expressions:

• An algebraic expression is an expression that consists of variables and constants along with mathematical operations.

• There are different types of expressions such as monomial, binomial, trinomial, and polynomial.

Monomial:

• Monomial consists of only one non-zero term is called a monomial.

• Examples: 3a, 5xy, 7ab......

Polynomial:

• Polynomial is an expression that consists of two or more non-zero terms of expressions.
• Examples:   4a+b, 3xy+z+4y, 6a²b+5ab+7ab²+3a²b².

        Given expressions are 8x-x+1 and 2x+1.

• Let the expression be M to be added to 8x-x+1 to get 2x+1.

            It can be expressed mathematically as

                  8x-x+1 + M = 2x+1

                       7x+1+M = 2x+1

                                M = 2x+1-7x-1

                                M = -5x

          Hence, -5x is added to the expression 8x-x+1 to get 2x+1.

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