3x3. 5x5
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.
Learn the properties, and apply them! What properties you use depends on the specific situations; some examples include:* Combine like terms (terms with the same variables), e.g.: 4x + 5x = 9x * Factor expressions * Multiply factors, so you can combine them with other expressions. In a way, this is the opposite of the previous point.
Equivalent ExpressionDefinition of Equivalent ExpressionTwo algebraic expressions are said to be equivalent if their values obtained by substituting the values of the variables are same.More about Equivalent ExpressionTo symbolize equivalent expressions an equality (=) sign is used.Examples of Equivalent Expression3(x + 3) and 3x + 9 are equivalent expressions, because the value of both the expressions remains same for any value of x. For instance, for x = 4, 3(x + 3) = 3(4 + 3) = 21 and 3(x + 9) = 3 × 4 + 9( x + 3) = 21.The expressions 6(x2 + y + 2) and 6x2 + 6y + 12 are equivalent expressions and can also be written as 6(x2 + y + 2) = 6x2 + 6y + 12.Solved Example on Equivalent ExpressionChoose an expression that is equivalent to the expression 2n + 7(3 + n).Choices:A. 9n + 21B. -9n + 21C. -9n - 21D. n + 21Correct Answer: ASolution:Step 1: 2n + 7(3 + n) [Original expression.]Step 2: = 2n + 7(3) + 7(n) [Use the distributive Definition_for_Equivalent_Expressions.]Step 3: = 2n + 21 + 7n [Multiply.]Step 4: = 2n + 7n + 21 [Use the commutative property.]Step 5: = 9n + 21 [Combine like terms.]
You can find infinitely many expressions that are equivalent to any given expression. For example, you can add and divide an arbitrary number.In this case, one interesting option is to factor the given expression. You can use the fact that there is a common factor; also, that you have the difference of two squares.
how many different ways can you use the digits 3 and to write expressions in exponential form/ what are the expressions
28ab
24 + 36 = (2 x 12) + (3 x 12) = 5 x 12 = 60
3x3. 5x5
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.
Learn the properties, and apply them! What properties you use depends on the specific situations; some examples include:* Combine like terms (terms with the same variables), e.g.: 4x + 5x = 9x * Factor expressions * Multiply factors, so you can combine them with other expressions. In a way, this is the opposite of the previous point.
112
Fractions yfg
They use as expressions the words small, timeworn and clean
Equivalent ExpressionDefinition of Equivalent ExpressionTwo algebraic expressions are said to be equivalent if their values obtained by substituting the values of the variables are same.More about Equivalent ExpressionTo symbolize equivalent expressions an equality (=) sign is used.Examples of Equivalent Expression3(x + 3) and 3x + 9 are equivalent expressions, because the value of both the expressions remains same for any value of x. For instance, for x = 4, 3(x + 3) = 3(4 + 3) = 21 and 3(x + 9) = 3 × 4 + 9( x + 3) = 21.The expressions 6(x2 + y + 2) and 6x2 + 6y + 12 are equivalent expressions and can also be written as 6(x2 + y + 2) = 6x2 + 6y + 12.Solved Example on Equivalent ExpressionChoose an expression that is equivalent to the expression 2n + 7(3 + n).Choices:A. 9n + 21B. -9n + 21C. -9n - 21D. n + 21Correct Answer: ASolution:Step 1: 2n + 7(3 + n) [Original expression.]Step 2: = 2n + 7(3) + 7(n) [Use the distributive property.]Step 3: = 2n + 21 + 7n [Multiply.]Step 4: = 2n + 7n + 21 [Use the commutative property.]Step 5: = 9n + 21 [Combine like terms.]well....in a totally inataquitly way...theotorical...e=mc2
Equivalent ExpressionDefinition of Equivalent ExpressionTwo algebraic expressions are said to be equivalent if their values obtained by substituting the values of the variables are same.More about Equivalent ExpressionTo symbolize equivalent expressions an equality (=) sign is used.Examples of Equivalent Expression3(x + 3) and 3x + 9 are equivalent expressions, because the value of both the expressions remains same for any value of x. For instance, for x = 4, 3(x + 3) = 3(4 + 3) = 21 and 3(x + 9) = 3 × 4 + 9( x + 3) = 21.The expressions 6(x2 + y + 2) and 6x2 + 6y + 12 are equivalent expressions and can also be written as 6(x2 + y + 2) = 6x2 + 6y + 12.Solved Example on Equivalent ExpressionChoose an expression that is equivalent to the expression 2n + 7(3 + n).Choices:A. 9n + 21B. -9n + 21C. -9n - 21D. n + 21Correct Answer: ASolution:Step 1: 2n + 7(3 + n) [Original expression.]Step 2: = 2n + 7(3) + 7(n) [Use the distributive Definition_for_Equivalent_Expressions.]Step 3: = 2n + 21 + 7n [Multiply.]Step 4: = 2n + 7n + 21 [Use the commutative property.]Step 5: = 9n + 21 [Combine like terms.]
Equivalent ExpressionDefinition of Equivalent ExpressionTwo algebraic expressions are said to be equivalent if their values obtained by substituting the values of the variables are same.More about Equivalent ExpressionTo symbolize equivalent expressions an equality (=) sign is used.Examples of Equivalent Expression3(x + 3) and 3x + 9 are equivalent expressions, because the value of both the expressions remains same for any value of x. For instance, for x = 4, 3(x + 3) = 3(4 + 3) = 21 and 3(x + 9) = 3 × 4 + 9( x + 3) = 21.The expressions 6(x2 + y + 2) and 6x2 + 6y + 12 are equivalent expressions and can also be written as 6(x2 + y + 2) = 6x2 + 6y + 12.Solved Example on Equivalent ExpressionChoose an expression that is equivalent to the expression 2n + 7(3 + n).Choices:A. 9n + 21B. -9n + 21C. -9n - 21D. n + 21Correct Answer: ASolution:Step 1: 2n + 7(3 + n) [Original expression.]Step 2: = 2n + 7(3) + 7(n) [Use the distributive Definition_for_Equivalent_Expressions.]Step 3: = 2n + 21 + 7n [Multiply.]Step 4: = 2n + 7n + 21 [Use the commutative property.]Step 5: = 9n + 21 [Combine like terms.]