Solving Equations: Word Problems

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63
• 7x = 63
• 7x - 35 = 63
• 35x + 7 = 63

Tags

CCSS.HSA.CED.A.3

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35
• .50x = 35
• .50 + 20x = 35 
• .50x - 20 = 35

Tags

CCSS.HSA.CED.A.3

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5
• Add 6 to both sides and multiply both sides by 5
• Subtract 6 from both sides then multiply both sides by 5
• Subtract 6 from both sides then divide both sides by 5

Tags

CCSS.7.EE.B.4A

A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  How many miles does Mr. Lewis live from the airport?

• 18 miles
• 20 miles
• 22 miles

Tags

CCSS.7.EE.B.4A

Keith bought 5 new baseball trading cards to add to his collection.  The next day his dog ate half of his collection.  There are now only 40 cards left.  How many cards did Keith start with?

• 50
• 75
• 100
• 60

Tags

CCSS.3.OA.D.8

Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20

• They should have divided by 1 for the last step
• They should add 19 instead of subtracting 19
• I can not find an error
• Instead of adding 3k they should subtract 3k

Tags

CCSS.HSA.REI.A.1

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

Tags

CCSS.HSA.CED.A.3

Maria has 25 dollars.  She has to buy a gallon of milk which costs $3.50.  She wants to spend the rest of her money on cereal.  If each box of cereal costs $4.50, how many can she purchase?

• 4 boxes
• 5 boxes
• 6 boxes
• 7 boxes

Tags

CCSS.7.EE.B.4A

472 students are going on a field trip.  120 students will be returning home and the rest will be spending the night in cabins. If a cabin sleeps 8 people, how many cabins need to be rented?

• 4 cabins
• 44 cabins
• 59 cabins
• 74 cabins

Tags

CCSS.3.OA.D.8

The first play of a football game resulted in a loss of 12 yards.  Then a penalty resulted in another loss of 5 yards.  What is the total loss or gain?

• a gain of 7 yards
• a loss of 7 yards
• a gain of 17 yards 
• a loss of 17 yards

Tags

CCSS.7.NS.A.1C