You can use them to find a variable. Lets say you have two equivalent expressions with the same variable... x + 2x - 42 = 0 2x - 28 = 0 If you combine these equivalent expressions you ahve... x + 2x - 42 = 2x - 28 In all of the expressions you have x = 7 There are also other applications but its confusing to explain.
4
5b + 5b = 2 x 5b
The expression for "three less than x" is ( x - 3 ), and the expression for "five more than twice x" is ( 2x + 5 ). The product of these two expressions can be represented as ( (x - 3)(2x + 5) ). Thus, the expression representing the product is ( (x - 3)(2x + 5) ).
To determine if (2(6-3x) + x) is equivalent to (2(3x) + x), we can simplify both expressions. Starting with the left side: (2(6-3x) + x = 12 - 6x + x = 12 - 5x). Now for the right side: (2(3x) + x = 6x + x = 7x). Since (12 - 5x) is not equal to (7x), the two expressions are not equivalent.
Oh, what a happy little question! 8x plus 16 is like a beautiful tree with many branches. Some expressions that are equivalent to 8x plus 16 include 2(4x + 8), 4(2x + 4), 16 + 8x, and 8(x + 2). Just like painting a lovely landscape, there are many ways to represent the same mathematical idea.
(16 + 4x)/2 2(4 + x)
Two or more expressions (equations are examples) that are equal to or equivalent to each other; for example: (X+2)(X+4) = X^2+6X+8.
algebraic expressions
You can use them to find a variable. Lets say you have two equivalent expressions with the same variable... x + 2x - 42 = 0 2x - 28 = 0 If you combine these equivalent expressions you ahve... x + 2x - 42 = 2x - 28 In all of the expressions you have x = 7 There are also other applications but its confusing to explain.
An expression does not equate to anything. An equation is equal to something. Expression: x+2 Equation: x+4=2x Equivalent expressions: x+2 and 2x-2 if x=4 Equivalent equations: x+4=2x and -x+10=2x if x=4
8x + 16 = 2(4x + 8) = 4(2x + 4) = 8(x + 2) = 16((1/2)x + 1) = -8(-x - 2)
4
It means that two expressions represent the same number; for example, 5 is equivalent to 3 + 2. If there are variables in the expression, it means that the two expressions will evaluate to the same number, for any value assigned to the variable or variables. For example, for any value of x, 2x is the same as x + x; therefore, the two are equivalent.
x-5
8^2x (8×8)^x 8^x×8^x
2 x 127 = 254