Using Equations to Solve Word Problems

Using Equations to Solve Word Problems

9/21/20

Know - Need - Plan

• Identify important information

• The variable will represent what you are trying to find

• Write and solve an equation that models the situation.

• Do NOT have your variable already isolated ex) 14 +12 =x

Multiple Choice

Which equation represents the following situation?  A garden contains 75 flowers, each of which is either pink or white. If there are 37 pink flowers, how many white flowers are there?

• $$37w=75$$  

• $$37-w=75$$  

• $$75w=37$$  

• $$37+w=75$$  

Multiple Choice

Which equation represents the following situation?

If one roll of masking tape costs $1.51, how many rolls can Emma buy with $5.75?

• $$1.15\left(5.75\right)=x$$

• $$1.15x=5.75$$

• $$5.75x=1.15$$

• $$x=\frac{1.15}{5.75}$$

Multiple Choice

Which equation best represents the following situation? 

Andrew has saved $55 toward the purchase of an IPOD. The IPOD costs $145. Which equation represents the amount Andrew needs to save to buy the IPOD?

•  $55+x=145$  

•  $55-x=145$  

•  $145-55=x$  

•  $145\left(55\right)=x$  

Multiple Choice

Which equation represents the following situation?

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

• $20+50m=290$

• $20m+50=290$

• $50m-20=290$
  

Multiple Choice

Which equation represents the following situation?

A bag of candy was shared equally among 4 friends. Each friend gave away 7 pieces of candy. They each ended up with 8 pieces of candy. How much candy was originally in the bag?

• $\frac{c}{7}-4=8$

• $\frac{c}{4}+7=8$

• $\frac{4}{c}-7=8$

• $\frac{c}{4\ }-7=8$

Multiple Choice

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.

• $7x+35=63$

• $7x-35=63$

• $7x=63$

• $35x+7=63$

Fill in the Blanks

Solve the equation from the last word problem.

7x + 35 = 63

How many cars did Scott work on?

Multiple Choice

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. How many rides did Penelope go on if she spends $35 in all?

• $.50x+20=35$

• $.50+20x=35$

• $.50x-20=35$

Multiple Select

Eugene spent half of his weekly allowance at the movies. To earn more money, his parents let him clean the windows in the house for $7. What is his weekly allowance if he ended with $12?

Choose ALL acceptable equations below.

• $\frac{a}{2}+7=12$

• $2a+7=12$

• $\frac{1}{2}a+7=12$

Multiple Select

Maria bought seven boxes. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. With how many did she start with?

•  $\frac{b}{2}+7=22$  

•  $\frac{b+7}{2}=22$