Answer:
Problem 7: 6x - 3
Problem 8: -10x + 13
Problem 9: 10n - 4
Problem 10: 4n + 5
Step-by-step explanation:
Problem 7:
Step 1: "Subtract x + 4 from 7x + 1" can be written as:
7x + 1 - (x + 4)
Step 2: Simplifying the expression gives us:
7x + 1 - x - 4 (distribute the negative sign, 'distributive property')
Step 3: Simply the new expression by combining like terms:
7x - x + 1 - 4
6x - 3
Problem 8:
Step 1: "Subtract 6x - 8 from -4x + 5" can be written as:
-4x + 5 - (6x - 8 )
Step 2: Simplifying the expression gives us:
-4x + 5 - 6x + 8 (distribute the negative sign, 'distributive property')
Step 3: Simply the new expression by combining like terms:
-4x - 6x + 5 + 8
-10x + 13
Problem 9:
Step 1: "Subtract -6n + 3 from 4n - 1" can be written as:
4n + 1 - (-6n + 3)
Step 2: Simplifying the expression gives us:
4n - 1 + 6n - 3 (distribute the negative sign, 'distributive property')
Step 3: Simply the new expression by combining like terms:
4n + 6n - 1 - 3
10n - 4
Problem 10:
Step 1: "Subtract -8n - 3 from -4n - 2" can be written as:
-4n - 2 - (-8n - 3)
Step 2: Simplifying the expression gives us:
-4n - 2 + 8n + 3 (distribute the negative sign, 'distributive property')
Step 3: Simply the new expression by combining like terms:
-4n + 8n - 2 +3
4n + 1