Select all the expressions that are the result of decreasing x by 80 %. A. (20)/(100) x B. x-(80

step 1 So for number four, it wants us to select all the expressions that are the results of decreasing

Select all the expressions that are the result of decreasing...

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Key Concepts

Percentage Decrease

This concept involves reducing an original value by a given constant percentage. To calculate a decrease by a certain percent, one subtracts that percent of the value from the original, effectively leaving the remaining percentage of the original value. This approach is broadly applicable in fields like finance, economics, and everyday problem-solving.

Conversion Between Percent, Decimal, and Fraction

Understanding how to convert percentages to decimals and fractions is critical because these different representations are often used interchangeably in mathematical expressions. For instance, an 80% decrease can be represented as 0.8 in decimal form or as 80/100 in fractional form, and recognizing these equivalencies aids in simplifying and evaluating expressions.

Algebraic Expression Simplification

This concept refers to the process of rewriting expressions in an equivalent but simpler form by combining like terms and performing arithmetic operations. It is essential for verifying that different expressions represent the same numerical relationship, especially when dealing with operations like a percentage decrease where multiple representations, such as subtracting a portion of the quantity or multiplying by a factor, are involved.

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