Use the distibutive property to simplify each expression
1. 8( x+4)
2. 12 -( x + 9)
1. Using the distributive property, we have:
8(x + 4) = 8*x + 8*4 = 8x + 32
2. Using the distributive property, we have:
12 - (x + 9) = 12 - x - 9 = (12 - 9) - x = 3 - x
1. To simplify the expression 8(x + 4) using the distributive property, we need to distribute the 8 to both terms inside the parentheses.
Let's multiply 8 by x: 8(x) = 8x
And then multiply 8 by 4: 8(4) = 32
So, the simplified expression is: 8x + 32
2. To simplify the expression 12 - (x + 9) using the distributive property, we need to distribute the negative sign to both terms inside the parentheses.
Let's distribute the negative sign: -1(x + 9) = -x - 9
So, the simplified expression is: 12 - x - 9, which can also be written as 3 - x.
To simplify expressions using the distributive property, you need to distribute the number or term outside the parentheses to each term inside the parentheses.
1. 8(x + 4)
To simplify this expression, you multiply 8 by both x and 4, using the distributive property.
8 multiplied by x equals 8x, and 8 multiplied by 4 equals 32.
Therefore, the simplified expression is 8x + 32.
2. 12 - (x + 9)
To simplify this expression, you distribute the negative sign (-) to each term inside the parentheses.
So, -1 multiplied by x equals -x, and -1 multiplied by 9 equals -9.
Therefore, the simplified expression is 12 - x - 9.