#3. Solving Equations with Variables on both sides (Word Problems)

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours
• 4 hours
• 1 hour
• 2 hours

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

• 2 hours
• 3 hours
• 4 hours
• 5 hours

Tags

CCSS.8.EE.C.8C

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

• 1500 + 8t = 12
• 12 + 8t = 1500
• 1500 + 8t = 12t
• 8t = 12t + 1500

The sum of two consecutive integers is 123.  What is the smallest of the two integers?

• 60
• 61
• 62
• 63

Tags

CCSS.8.EE.C.7B

Find three consecutive even integers whose sum is 84.

• 26, 28, 30
• 28, 30, 32
• 27, 28, 29
• 24, 26, 28

Tags

CCSS.8.EE.C.7B

Which of the following setups would be used to find four consecutive integers?

• n
  n+2
  n+4
  n+6
• n
  2n
  4n
  6n
• n+1
  n+2
  n+3
  n+4
• n
  n+1
  n+2
  n+3

Tags

CCSS.HSA.CED.A.1

There are 3 consecutive integers twice the first is 20 more than the second. Find the largest number.

• 21
• 24
• 22
• 23

Tags

CCSS.8.EE.C.7B

Find three consecutive even integers such that 27 more than 3 times the second is 7 less than 8 times the first.

• 8, 10, 12
• -4, -2, 0
• 6, 8, 10
• 2, 4, 6

Tags

CCSS.8.EE.C.7B

Which expressions can be used to represent the sum of 3 consecutive odd integers?

• n+1, n+2, n+3
• n, n+1, n+3
• n, n+1, n+2
• n, n+2, n+4

Tags

CCSS.6.EE.B.6

Find two consecutive integers whose sum is -97.

• 48, 49

• 47, 50

• -50, -49

• -49, -48