create an Distributive Property problem for me to solve
Here's an example of a Distributive Property problem for you to solve:
Problem: Simplify the expression 3(2x + 5) - 2(x - 3).
Solution:
Step 1: Apply the distributive property for each term inside the parentheses:
3(2x + 5) - 2(x - 3)
= 3*2x + 3*5 - 2*x + 2*(-3)
Step 2: Simplify the resulting expression:
= 6x + 15 - 2x - 6
Step 3: Combine like terms:
= (6x - 2x) + (15 - 6)
= 4x + 9
Therefore, the simplified expression is 4x + 9.
create an 9th grade destributive problem solution
Problem: Simplify the expression 2(3x + 4) - 5(2x - 3).
Solution:
Step 1: Apply the distributive property for each term inside the parentheses:
2(3x + 4) - 5(2x - 3)
= 2*3x + 2*4 - 5*2x + 5*(-3)
Step 2: Simplify the resulting expression:
= 6x + 8 - 10x - 15
Step 3: Combine like terms:
= (6x - 10x) + (8 - 15)
= -4x - 7
Therefore, the simplified expression is -4x - 7.
Sure! Here's a distributive property problem for you to solve step-by-step:
Problem: Simplify the expression (3x + 2) * (4 - x).
Step 1: Start by using the distributive property to multiply the first term (3x) by each term in the second parentheses:
(3x * 4) + (3x * -x) + (2 * 4) + (2 * -x)
Step 2: Simplify the products:
12x - 3x^2 + 8 - 2x
Step 3: Rearrange the terms in descending order of exponents:
-3x^2 + (12x - 2x) + 8
Step 4: Combine like terms within parentheses:
-3x^2 + 10x + 8
And there you have it! The simplified expression is -3x^2 + 10x + 8.