123- Writing Equations and Determining Number of Solutions

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

• y = 15x + 40

• y = 40x + 15

• y = 15x

• y = 15x - 40

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

• 40x + 20 = 340

• 20x + 40 = 340

• 20x - 40 = 340

• 20 + 340 = 40x

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Mallory bought pizza and soda for her End of Summer party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22? Which equation models this scenario?

• 10.95x + 12.57 = 89.22

• 89.22x - 10.95 = 12.57

• 12.57x + 10.95 = 89.22

• 12.57 + 10.95 = 89.22

Tags

CCSS.HSA.CED.A.3

Elena is cutting a 30-foot piece of ribbon for a craft project. She cuts off 7 feet, and then cuts the remaining piece into 9 equal lengths of feet each. Which equation matches the situation?

• 7 + 9x = 30

• 30 = x - 7 - 9

• 30/x = 9-7

• x - 30 = 7(9)

Tags

CCSS.4.MD.A.2

Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?

• 3(x + 5) = 17

• 3x + 5 = 17

• 5(x + 3) = 17

• 5x + 3 = 17

Tags

CCSS.HSA.CED.A.3

Scott's Automotive charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie was charged $63.

• 35x + 7 = 63

• 7x = 63

• 7x - 35 = 63

• 7x + 35 = 63

Tags

CCSS.HSA.CED.A.3

 $3\left(x+4\right)=3\left(x-8\right)$  

• one solution

• no solution

• infinite solutions

Tags

CCSS.8.EE.C.7A

 $5x+4=5x+4$  

• one solution

• no solution

• infinite solutions

Tags

CCSS.8.EE.C.7A

How many solutions

3r - 5 = 2r

• No solution

• Infinitely many solutions

• one solution

Solve.

• No solution
• All real numbers
• 3
• 0

Tags

CCSS.8.EE.C.7B