Word problems

July is 5 years older than her brother Tom. Their combined age is 23. 
Which let statements make sense for this problem?

• Let July = x
        Tom = x + 5
• Let July = x
          Tom = x - 5
• Let July = 23
       Tom = 23 - 5
• Let July = x
       Tom = 12

Javi and Eli have a combined $100. Javi has 4 more than 3 times as much money as Eli though.
Which let statements makes the most sense for the situation?

• Let x = Eli
         x + 4 = Javi
• Let x + 3x + 4 = Javi
• Let x = Eli
       3x + 4 = Javi
• Let x = Javi
      4x + 3 = Eli

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

• 10.95x + 12.57 = 89.22

• 12.57x + 10.95 = 89.22

• 89.22x -10.95 = 12.57

• 12.57 + 10.95 = 89.22

Jim works at a local restaurant. He earns $8 an hour, plus tips. If Jim earned $350 last week, which included $270 in tips, how many hours did he work?

• 8/h + 270 = 350

• 350 = 270 + 8 + h

• 350 = 270 + 8h

• 350 -270 = h

At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $13 then what was the total bill?

Which equation can you solve to determine the total amount of the bill?

• 4x = 13

• 13x = 4

• x/13 = 4

• x = 13/4

Amy had $26 dollars to spend on school supplies. After buying 10 pens at the same price, she had $14.30 left. Write an equation to determine how much each pen cost.

• 14.30/p + 10 = 26

• 26/p = 24.30

• 10p - 14.30 = 26

• 14.30 + 10p = 26

A mechanic charges an initial fee of $75 plus an hourly fee of $50. Write the equation for the situation.

Mathematical Equivalence

ON

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

• y = 15x + 40

• y = 40x + 15

• y = 15x

• y = 15x - 40

Lisa went to the mall to do her back-to-school shopping. When she returned home, she noticed that the number of shirts(s) she purchased was 3 more than twice the number of pants(p) she bought. Write an equation that can be used to represent the number of shirts Lisa purchased

• p = 3 + 2s

• s + 2p = 3

• 2p = s + 3

• s = 3 + 2p

Your class won the donut party and when Ms. Byrd went to pick up the donuts she was happy to find out they gave her an educator discount of $3. Ms. Byrd spent $34.50 for donuts for your class of 25 students. How much was each donut?

• $2

• $1

• $1.50

• $2.50