Multi Step Equations with Word Problems

The length of a rectangle is five inches less than three times its width. If the perimeter of the rectangle is 150 inches, find the dimensions.

• L=40 W=35

• L=50 W=25

• L=60 W=45

• L=55 W=20

Bob has $150 in his savings account and saves $40 per month. Which of the following equations would be accurate if Bob has saved $400?

• 400 = 150 + 40

• 400 = 150 + 40x

• 400 = 150x + 40

An internet company charges a $100 set up fee, and then they charge $35 a month after that. If Bobbie paid $415 for internet so far this year, how many months has she been paying?

• 7 months

• 8 months

• 9 months

• 10 months

Jerry has $20 and makes $7 per hour mowing lawns. By the end of the day Jerry has $62. How many hours did Jerry work today?

• 6 hours

• 7 hours

• 8 hours

• 9 hours

Mr. Anderson had 185 pieces of wood. He sold 25 pieces of wood to his neighbor and stacked the rest of the wood into piles around his house. Each pile of wood contained 40 pieces of wood. Which equation can be used to find p, the number of piles of wood Mr. Anderson made?

• p = (185 +25)+40

• p = (185-25)-40

• p = (185+25)x40

• p = (185-25)÷40

A family spent $93 at a carnival. They spent $18 on tickets to the carnival and $36 on food. They spent the rest of the money on games. Which equation can be used to find g, the amount of money in dollars the family spent on games?

• 93=g+36−18

• 93=18+36−g

• 93=36−18−g

• 93=g+36+18

Two times the quantity of seven less than one-fourth of a number is equal to four more than one-third a number. Which equation represents this?

If ChipCo sold their bags of corn chips for $5 per bag plus $1 for bagging it and it costs the same as $4 per bag of CrunchyChips corn chips plus their price of $2 for bagging it, which equation would make them cost the same?

• 5 + 1x = 2x + 4

• 9x = 3

• 5x + 1 = 4x + 2

• 5x = 6x

Holden had 3 packs of baseball cards with 6 cards in each pack. He gives his friend Clay 4 cards. Which shows one way to find the number of cards Holden has left?

• multiply 2 by 3 and then subtract 6

• multiply 3 by 6 and then subtract 4

• multiply 3 by 6 and then add 4

• multiply 2 by 3 and then add 6