Equivalent expressions with rational numbers

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression, even if it looks different.

Front

How do you represent a decrease in price using a variable?

Back

A decrease in price can be represented as x - (decrease amount), where x is the original price.

Front

What does the expression 1.03x represent?

Back

The expression 1.03x represents an increase in the price of an item by 3%.

Front

If x represents the cost of an item, how would you express a 20% increase in price?

Back

You would express it as (1 + 0.2)x or 1.2x.

Front

What is the formula to calculate the total amount raised in a fundraiser?

Back

Total amount = donations + (number of items sold × price per item).

Front

How do you find the number of hours worked if you know the total hours and hours per shift?

Back

Divide the total hours by the number of shifts to find hours per shift.

Front

What does the expression x - 0.8x simplify to?

Back

It simplifies to 0.2x, which represents a 20% decrease in x.

Front

What is the significance of the expression (1 - 0.06)x?

Back

It represents a 6% decrease in the price of an item.

Front

How can you express a 25% decrease in price using a variable?

Back

You can express it as x - 0.25x or 0.75x.

Front

What is the relationship between rational numbers and equivalent expressions?

Back

Rational numbers can be used in equivalent expressions to show different forms of the same value.