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.
The expressions equivalent to (81x) include (9^2x) (since (81 = 9^2)), (3^4x) (since (81 = 3^4)), and (x \cdot 81). Additionally, (81 \cdot x) and (x \cdot 81) are also equivalent forms. All these expressions represent the same quantity.
Five equivalent expressions to ( x \times 16 ) include: ( 16x ) ( 2 \times 8x ) ( 4 \times 4x ) ( 32 \times \frac{x}{2} ) ( 64 \times \frac{x}{4} ) All these expressions represent the same value as ( x \times 16 ) through different factorizations or manipulations.
5b + 5b = 2 x 5b
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.
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
The expressions equivalent to (81x) include (9^2x) (since (81 = 9^2)), (3^4x) (since (81 = 3^4)), and (x \cdot 81). Additionally, (81 \cdot x) and (x \cdot 81) are also equivalent forms. All these expressions represent the same quantity.
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.
Five equivalent expressions to ( x \times 16 ) include: ( 16x ) ( 2 \times 8x ) ( 4 \times 4x ) ( 32 \times \frac{x}{2} ) ( 64 \times \frac{x}{4} ) All these expressions represent the same value as ( x \times 16 ) through different factorizations or manipulations.
8^2x (8×8)^x 8^x×8^x
It is: (6x+11)(x-5) when factored
2 x 127 = 254
Expand the bracket.
5b + 5b = 2 x 5b