Algebra 1 Help Online Tutoring - Maths Tutors Online

Algebra 1 Help Online Tutoring - Maths Tutors Online 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)