SOLUTION: Explain the difference between equivalent expressions and equivalent equations. Show an example of each

Algebra.Com
Question 3954: Explain the difference between equivalent expressions and equivalent equations.
Show an example of each

Answer by longjonsilver(2297)   (Show Source): You can put this solution on YOUR website!
equivalent expressions have the same value but are presented in a different format using the properties of numbers eg, ax + bx = (a + b)x are equivalent expressions. Strictly, they are not "equal", hence we should use 3 parallel lines in the "equal" rather than 2 as shown here.

equivalent equations are equations that have the same solution eg 2x = 10 and 3x-1 = 14. Both have x=5.

jon

RELATED QUESTIONS

Explain the difference between equivalent expressions and equivalent equations. Show... (answered by longjonsilver)
Show, using a numerical example, that the expressions (x+2)^2 and x^2+4 are not... (answered by ikleyn)
Explain what it means to say that two equations are equivalent. Give an example of an... (answered by stanbon,rfer)
Brianna’s teacher asks her which of these three expressions are equivalent to each... (answered by josgarithmetic)
Explain why -5x² and (-5x)² are not equivalent. Explain why the expressions 2³ × 5³ and... (answered by jsmallt9)
Use the commutative property of multiplication and properties of rational exponents... (answered by Theo)
explain is the difference between a logarithm of a product and the product of logarithm... (answered by Theo)
What is the difference between rational expressions and rational... (answered by jsmallt9)
Which of the following expressions is equivalent to 20 - 4/5 x >= 16 ? a.x<=5 b.x>=5 (answered by Fombitz)
What is the difference in these two questions and how do I do them? Describe the... (answered by richard1234,harsh.9119)