Creating Linear Equations One Variable

Solve for x:
3(5x + 10) + 10 = 6x - (x + 10)

• 3

• -3

• -5

• 5

Solve:
2(2x + 3) = -6(x + 9)

• 2

• 6

• -6

• 7.5

Raymond buys bottles of water at $2 each and a large pizza at $13. The total cost was $21. How many bottles of water did Raymond buy?
What is the correct equation to solve?

• 2b + 13 = 21

• 2 + 13b = 21

• 2 + 13 = 21b

• 2b +21 = 13

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

The product of 12 and a number is the same as 2 removed from a number

• 12x=x+2

• 12x=2-x

• 12-2=x-2

• 12x= x-2

The bill for the repair of a computer was $179. The cost of parts was $44, and labor charge was $45 per hour. How many hours did it take to repair the computer?
What is the correct equation to solve?

• 44h + 45 = 175

• 44 + 45h = 175

• 44 + 175 = 45h

• 44 + 45 = 175h

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

You and 3 friends are going to the County Fair. You have a coupon that will save your group $20. If the total bill to get into the fair was $100, how much does one regular price ticket to the fair cost?
What is the correct equation to solve?

• 4p -20 = 100

• 4 -20p = 100

• 4 -20 = 100p

• 4p -20 = 80

Solve for x:

6(2x + 1) = 18

• 3

• 17/12

• 1

• 2

Solve for x:
2(3x + 4) + 2 = 4 + 3x

• 2

• -2/3

• 10

• -2