Choosing Equations from Real World Problems

The math club is taking a trip to the MoMath Museum in NYC. Manassas Park rented 2 vans and 3 buses. They took 200 students. Prince William rented 4 vans and 10 buses. They took 600 students. How many students does a van and bus hold?

• A van holds 25 students and a bus holds 50 students.

• A van holds 50 students and a bus holds 25 students.

• A van holds 35 students and a bus holds 45 students.

• A van holds 45 students and a bus holds 35 students.

For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

• 4x=472

• 9x=472

• 4+9x=472

• 4+x=472

Bonnie pays a monthly fee of $80 at the health club and an additional $9 every time she attends a yoga class. Which expression below shows her total cost T if she attends y yoga classes this month?

• T = 80 + 9y

• T = 80y + 9

• T = 80 + 9 + y

• T = (80+9)y

Yvette has a home-based business putting on children's parties. She charges $55 to design the party and then $4 per child. Write a function rule that relates the total cost of the party to the number of children n.

• f(n) = 4 + 55n

• f(n) = 4 - 55n

• f(n) = 4n - 55

• f(n) = 55 + 4n

A flower deliveryman receives $40 a day for transportation costs plus $10 for each flower delivery he makes. How many dollars (d) will he have after making x flower deliveries

• d = 10x + 40

• d = x + 10 + 40

• d = 40x + 10

• d = 10x - 40

The height, h, of an object decreases by 7 feet every second. If the object is initially set at 100 feet, which equation represents its height after s seconds?

• h = 7 - 100s

• h = 100s - 7

• h = 100 - 7s

• h = 100 + 7s

A company pays its employees a base salary of $750 per week, plus a 15% commission for all of their sales. If t = total weekly pay, and s = the total sales, which equation can an employee use to determine his or her total weekly pay?

• t = 750(0.15s)

• t = 750 + 0.15s

• t = 750s + 0.15

• t = 750 + 15s

Which of the following problems can be solved by using the equation x + 5 = 24

• Claire had 24 dolls in her collection. She added five more to it. How many dolls does she now have in her collection?

• Lindsey has 5 times as many crayons as her sister. Her sister has 24 crayons. How many crayons does Lindsey have?

• Jameson earned $5 in tips on Monday delivering packages. For the rest of the week earned $24 in tips. How much did James earn in tips for the entire week?

• Melissa received a gift of of 5 magazines to add to her collection. The brought the total number of magazines to 24. How many did she have before she received her gift?

Which problem situation matches this equation?

• Karen got $8 per hour for babysitting. Find x, the amount she was paid for 8 hours.

• The cost of a video game is $74.80. Find x, the amount Josh needs to be the game if he had $8.

• 8 friends spent $74.80 each pay for a camping trip. Find x, the total amount they paid.

• Charlene got a paycheck for $74.80 for 8 hours of work. Find x, the amount she was paid per hour.

Brenda's gym charged $10 fee to join plus $29 per month. She calculated that the gym has cost her a total of $155 since she joined. Which equation could be used to determine the number of months(m) Brenda has been going to the gym?

• 10m + 29 = 155

• 10 + 29 = 155m

• 10 + 29m = 155

• m + 29 = 155 - 10