Equations and Inequalities Real World

Identify the equation that represents this real-world problem:
A1 Plumbing service charges $35 per hour plus a $25 travel charge for a service call.  Good Guys Plumbing Repair charges $40 per hour for a service call with no travel charge.  How long must a service call be for the two companies to charge the same amount? 

• 25x + 35x = 40x
• 35x + 25 = 40x
• 35 + 25x = 40
• 35 + 25 = 40x

Identify the equation that represents this real-world situation: 
Mike's Fitness Center Charges $30 per month for a membership.  All-Day Fitness Club charges $22 per month plus an $80 initiation fee for a membership.  After how many months will the total amount paid to the two fitness clubs be the same?

• 30x = 22x + 80 
• 30 + 22x = 80
• 30 + 22 = 80x
• 80x + 22x = 30x

Identify the equation that represents the real-world situation: 
The Lone Star Shipping Company charges $14 plus $2 a pound to ship an overnight package. Discount Shipping Company charges $20 plus $1.50 a pound to ship an overnight package.  For what weight is the charge the same for the two companies?

• 14x + 2 = 20x + 1.5
• 14x + 2x = 20 + 1.5x
• 14 + 2x = 20 + 1.5x
• 14 + 2 = 20 + 1.5x

Identify the inequality that represents the real-world situation:
Satellite Image charges a monthly rate of $120. We are Dish charges a monthly rate of $150 and offers a one-time sign up discount of $100.  Write an inequality that can be used to determine the number of months it would be more cost effective for someone to use Satellite Image as their cable television provided. 

• 120x > 150x - 100
• 120x < 150x + 100
• 120x < 150x - 100
• 120x = 150x - 100

Which situation can be represented by the inequality 15x > 12x + 100? 

• Juanita saves $15 each week.  Dan has already saved $100 and saves $12 each week.  When will Juanita have less money saved than Dan?
• Juanita saves $12 each week.  Dan has already saved $100 and saves $15 each week.  When will Juanita have less money saved than Dan? 
• Juanita saves $15 each week.  Dan has already saved $100 and saves $12 each week.  When will Juanita have more money saved than Dan?
• Juanita saves $12 each week.  Dan has already saved $100 and saves $15 each week.  When will Juanita have more money saved than Dan?

Solve the equation and identify which value correctly represents n. 
15 - 1/6n = 1/6n - 1

• 48
• -48
• 18
• 3/2

Solve the equation and identify which value correctly represents x.
12.9x + 10 = 34 + 9.9x

• 10
• 8
• -5
• 4

Solve the equation and identify which value correctly represents c.
35c + 25 = 40c

• 5
• 10
• 15
• 3

Solve the equation and identify which value correctly represents m.
30m = 22m + 80

• 15
• 80
• 10
• 25

Solve the equation and identify which value correctly represents g.
15 - 0.75g = 13 - 0.5g

• 8
• 10
• 4
• 2