Question

Use the distributive property to write an expression that is equivalent to the expression below: 7(x−3)

a. 5x - 3
b. 7x - 21
c. x + 10
d. 3x + 7

Answer 1

The equivalent expression to 7(x−3) using the distributive property is 7x - 21. This is obtained by multiplying 7 by both terms inside the parentheses.

Step-by-step explanation:

To apply the distributive property to the expression 7(x−3), you would multiply both the x and -3 by 7. Let's do this step by step:

• Multiply 7 by x to get 7x.
• Multiply 7 by -3 to get -21.
• Combine these two results to get the equivalent expression: 7x - 21.

Therefore, the expression that is equivalent to 7(x−3) using the distributive property is 7x - 21.

To eliminate terms wherever possible and simplify the algebra, we have done the necessary multiplication, and the expression is already in its simplest form. It is reasonable because we followed the standard rules of distributive property.