Equation and Inequality Review

4x +3 = 15

10x -7 = 4x + 5

Betsy wants to save $4000 for a trip she wants to take this summer. She currently has $500 in her bank account. Betsy earns $100 per day working. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of $4000?

Two lawn care companies are competing for a landscaping contract. Company A charges a $150 monthly consulting fee plus $20 per square foot of landscaping. Company B charges a $80 monthly consulting fee plus $25 per square foot of landscaping. For how many square feet of landscaping, x, will the two companies charge the same amount in one month?

4x+ 40 < 12

April is getting her carpet cleaned. Company A charges a $150 monthly consulting fee plus $20 per square foot of carpet. Company B charges a $80 monthly consulting fee plus $25 per square foot of carpet Which inequality should she use to figure this out if x represents the number of rooms she gets cleaned if company A is more expensive?