Lesson 1A.3 ~ 2.2 Creating and Solving Equations

Solve for x

 $2x+4\ =\ 3x\ -\ 7$  

• x = - 11

• x = 11 

• x = 5/11

• x = 11/5

A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for?  

• 60 - 15x = 210 
• 15x - 60 = 210
• 15x + 60 = 210 
• 210 + 15x = 60 

Tags

CCSS.HSA.CED.A.3

Rayshawn and Robert are both saving money for their summer vacations. They began saving at the same time. Rayshawn started with $10.25 and adds $5.15 to his savings every month. Robert did not have a starting amount but adds $10.25 to his savings every month. Which equation could be used to determine how many months, m, it will take before Rayshawn and Robert both have saved the same amount of money?

• 5.15m + 10.25 = 10.25m
• 10.25m + 5.15 = 10.25m
• 10.25m + 10.25 = 5.15m
• 10.25m – 5.15 = 10.25m

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.A.4

CCSS.6.EE.C.9

Renting boats on a lake costs $22 per hour plus a flat fee of $10 for insurance. If you paid $98 to rent the boat, how many hours did you rent the boat?
What is the correct equation to solve?

• 22 + 10h = 98
• 22 + 10 = 98h
• 98 + 10 = 22h
• 22h + 10 = 98

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.5

Which equation matches this situation?
Diego is saving money for concert tickets to Melanie Martinez, after mowing lawns he has a $120. He already has $46 saved and earned $15 per lawn.

• 46 + 15x = 120
• 15x + 46 = 120
• 120 = 46x - 15
• 120 = 46x = 15

Tags

CCSS.HSA.CED.A.3

1. Which situation is best represented by the following equation?

45w + 123.95 = 753.95

• Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

• Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in the classes, and her sister paid $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes?

• Erica paid $753.95 for dance classes. She paid a $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

• Erica paid $753.95 for dance classes. She paid a $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w, the number of weeks Erica was enrolled in dance classes?

Tags

CCSS.7.EE.B.4A

How confident are you with creating and solving equations at this point?

• I can solve everything we've done in class easily

• I've struggled with a few, but am starting to feel better.

• I still am struggling a bit and need to practice some more.

• I'm super confused and need help

A hockey season ticket holder pays $72.48 for all of her tickets plus $6 for a program each game. A second person pays $18.08 for a ticket to each game, but doesn’t buy programs.  Write an equation that shows when the two fans will pay the same amount.
In how many games will they have paid the same amount? 

• 18.08 + 6x = 72.48x;  6 games
• 72.48 + 6x = 18.08; 9 games
• 72.48 + 6x = 18.08x; 9 games
• 72.48 + 6x = 18.08x; 6 games

Tags

CCSS.8.EE.C.7B

A hockey season ticket holder pays $72.48 for all of her tickets plus $6 for a program each game. A second person pays $18.08 for a ticket to each game, but doesn’t buy programs.

In how many games will they have paid the same amount?

• 6 games

• 7 games

• 8 games

• 9 games