Consider the expression given below:
1/8 (16x − 32 + 43y)
Using the distributive property, the equivalent expression for it will be
(2x - 4 + 5.375y)
Which expression is equivalent to 13x-2y-3(x+4y) with fewer terms?
(1 point)
Responses
16x - 14y
16x - 14y
10x - 10y
10x - 10y
10x - 14y
10x - 14y
16x - 10y
The equivalent expression with fewer terms is 16x - 10y.
To apply the distributive property to the expression 1/8(16x − 32 + 43y), you need to distribute (or multiply) the 1/8 to each term inside the parentheses.
1/8 * 16x = (1/8) * 16x = 16x/8 = 2x
1/8 * (-32) = (1/8) * (-32) = -32/8 = -4
1/8 * 43y = (1/8) * 43y = 43y/8
Therefore, the expression becomes:
2x - 4 + 43y/8