ACT question of the Day A

Which of the following expressions is equivalent to the expression below?

 $-7\left(5a-b\right)+3\left(-8b+a\right)$  

•  $-38a-31b$  

•  $-34a-25b$  

•  $-34a-17b$  

•  $-23a-25b$  

•  $-32a-17b$  

Tags

CCSS.6.EE.A.3

For Bill's birthday party, his parents will pay $35 for the cake plus $15 per person for catering expenses. They will spend at most a total of $300 for his party. The greatest integer in the solution set of one of the following inequalities gives the maximum number of people, p, who can attend the party. Which one?

• $p+50\ge300$

• $p\left(15p+35\right)\ge300$

• $\left(35+15\right)p\le300$

• $15p\le300$

• $15p+35\le300$