Write the following expressions in two ways, one with parentheses and one without. For example, 4(x – 3) can be written 4x – 12. Homework Help ✎
A number reduced by 3, then multiplied by 2.
A number increased by 7, then multiplied by 5.
Ten times a number, then add twenty.
Reducing by 3 means you first need to subtract 3 from a number. We will call this unknown number x. Then you will multiply that value by 2.
A number reduced by 3: (x − 3)
Then multiplied by 2: 2(x − 3)
Use the Distributive Property to multiply every term inside the parentheses by 2.
2x − 6
See part (a).
Ten times a number is 10x. Then add twenty to that to get: 10x + 20
Since 10 is a factor of both terms, we can factor out a 10 to get the following expression: 10(x + 2)
Check your answer by using the Distributive Property.