# Algebra 1 Help

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Algebra 1 helps us to convert a big word problem into a simple expression or equation by using signs and symbols.

Algebraic expressions: - An algebraic expression is a collection of one or more terms, which are separated from each other by he signs + (plus), – (minus), x (multiply) or /and / (divide).

 Expressions Number of terms used Terms 7 x + 3 x y + 2 y 3 7x, 3xy, 2y 2 x + 5 x y 2 2 x, 5 x y 4 x – 6 y + 7 3 4 x, 6 y, 7 7 x y + 2 a / y – 3 z + 8 4 7 x y, 2 a / y, 3 z, 8

In algebraic expression 4 x – y + 7; 7 is the constant term as it does not contain any variable. Similarly in algebraic expression 7 x y + 2 a / y – 3 z + 8; 8 is the constant term.

Example 1: - Find the value of the following expression when x = -1
x^3 +x^2 + x +1

Solution: -Substitute the value x = -1 in the given expression
x^3 +x^2 + x +1 = (- 1)^3 + (- 1)^2 + (- 1) + 1
= - 1 + 1 – 1 + 1
= -2 + 2
= 0

Example 2: -Factorize the same above expression

Solution: - x^3 +x^2 + x +1 = x^2 (x + 1) + 1 (x + 1)
= (x + 1) (x^2 + 1)