Linear Expressions Word Problems

After a week of rain, tadpoles appeared in your pond. After t minutes, you have (7t + 5) tadpoles and your friend has (8t – 3) tadpoles. What expression represents the number of tadpoles you and your friend caught together?

• 15t + 8

• 15t + 2

• 15t - 8

• 15t - 2

You are collecting pairs of socks and toothbrushes for a local charity. After d days, you have collected (4d + 12) pairs of socks and (3d + 10) toothbrushes. Write an expression that represents the total number of items that have been collected.

• 4d + 22

• 7d + 22

• 7d + 12

• 12d + 7

You are collecting pairs of socks and toothbrushes for a local charity. After d days, you have collected (4d + 12) pairs of socks and (3d + 10) toothbrushes. Write an expression that represents HOW MANY MORE pairs of socks were collected than toothbrushes.

• d + 2

• d - 2

• 7d + 22

• 7d + 22

There is a school wide game going on. The 8th graders have (40x + 20) points. The 7th graders have (10x + 50) points. How many more points do the 8th graders have than the 7th graders?

• 30x + 70

• 30x - 30

• 30x + 30

• 50x + 70

You are selling tickets to a play. You have sold (3t + 2) adult tickets and (7t + 1) children's tickets. How many more children's tickets did you sell than adult tickets?

• 4t + 1

• 4t - 1

• 10t + 3

• 10t - 3

Which expression represents the perimeter?

• 3x + 3

• 4x + 3

• 4x + 6

• 6x + 6

Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  

• 20x + 15 = y 

• 35x = y 

• 15x + 20y = 150 

• 150 - 20x = 15y 

Would you write a linear equation to model the following situation in slope-intercept form or standard form? 
Mrs. Harris is going to the movies. She spends $10 per ticket and $5 per bucket of popcorn. She only wants to spend $50. 

• Slope-intercept

• Standard form

Would you write a linear equation to model the following situation in slope-intercept form or standard form? 
The cost for a health club membership is $20 per month plus an initial $49 membership fee. 

• Slope-Intercept Form

• Standard Form

Write an linear equation to model the following:
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20. 

• y=2.50x+4

• 2.50x+4y=20

• y=4x+2.5