Twelve expressions equivalent to ( x ) can include various forms and operations that maintain the same value. For example, ( x + 0 ), ( 2x - x ), ( 3(x/3) ), ( 4 + (x - 4) ), ( x \times 1 ), ( 12 - (12 - x) ), ( 5x/5 ), ( x^1 ), ( \sqrt{x^2} ), ( x/2 \times 2 ), ( (x + x + x + x + x + x + x + x + x + x + x + x)/12 ), and ( 12 \cdot (x/12) ) are all equivalent to ( x ). Each expression utilizes basic algebraic principles to demonstrate equality.
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.
Two algebraic expressions that have the same value are called equivalent expressions. For example, (2(x + 3)) and (2x + 6) are equivalent because they simplify to the same value for any value of (x). This equivalence can be verified by substituting values for (x) or by simplifying the expressions.
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
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.
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.
algebraic expressions
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
2 x 127 = 254
It is: (6x+11)(x-5) when factored
Expand the bracket.
5b + 5b = 2 x 5b