Question

1. 7a - 6 + 8a 15a - 6 6. - 3d + 8d - 5d 7. 1.5g - 10 + 6.5g - 3 2g - 13 8. \frac{1}{2}h + 2h + \frac{3}{2}h - 1 4h - 1 9. write and simplify an expression that represents the perimeter of the rectangle shown. 12y 7.5

Explanation:

Step1: Combine like terms for \( -3d + 8d - 5d \)

Combine the coefficients of \(d\): \((-3 + 8-5)d\)
\((-3 + 8-5)d=(5 - 5)d=0d = 0\)

Step2: Find the perimeter of the rectangle

The formula for the perimeter of a rectangle is \(P = 2(l + w)\), where \(l = 12y\) and \(w = 7.5\)
\(P=2(12y + 7.5)\)
Use the distributive property \(a(b + c)=ab+ac\), here \(a = 2\), \(b = 12y\), \(c = 7.5\)
\(P=2\times12y+2\times7.5\)
\(P = 24y+15\)

Answer:

1. \(0\)
2. \(24y + 15\)