6. What is the solution for w in the equation \( 4(2w+3)=\frac{1}{2}(-4w+9) \)?
7. Which of the following values is equal to \( 4\sqrt[]{24}-5\sqrt[]{54} \)?
8. The cost of 2 notebooks and a package of pencils is $7.00. The cost of 3 notebooks and 2 packages of pencils is $11.00. What is the cost of 1 notebook and 1 package of pencils?
F. $1.00
G. $3.00
H. $4.00
J. $4.40
K. $4.66
9. Which of the following equations expresses a relationship between D, the length of the diagonal of the square shown below, and S, the length of a side of the square?
10. One neon sign flashes every 6 seconds. Another neon sign flashes every 8 seconds. Given that the signs sometimes flash simultaneously, how many seconds are there between consecutive simultaneous flashings?
F. 2
G. 7
H. 14
J. 24
K. 48