Equations Variables Both

Solve the equation

• 14

• -14

• 4

• -2

Tags

CCSS.7.EE.B.4A

You play basketball in your school’s indoor stadium. You have two payment options. Option A is to buy a membership card and pay $2 each time you go to the gym. Option B is to pay $4 each time you go. A membership card costs $20. After how many times will the cost of Option A be equal to the cost of Option B?

• t=5 times

• t=7 times

• t=10 times

• t=13 times

You need the weight of your dog. On the scale together, you both weigh a total of 134 pounds. After putting the dog down, your weight is 105 pounds. What is the weight of the dog? Write an equation that could be used to solve this problem.  

• 134 + x = 105

• 105 + x = 134

• 134 + 105 = x

• x - 105 = 134

Tags

CCSS.HSA.CED.A.3

I can join video club A for $25.00 and rent videos for $1.00 each. Or, I can join video club B for $15.00 and rent videos for $2.00 each. Write an equation that could be used to determine how many rentals would be needed for the price to be equal.

• 25 - x = 15 - 2x

• 25 + 15 = x + 2x

• 25x + 1 = 15x + 2

• 25 + x = 15 + 2x

What is v?
-15v-40 = 23-8v

• v = 9

• v = -7

• v = -9

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours

• 4 hours

• 1 hour

• 2 hours

Keith is in a hot air balloon that is 200 feet above the ground and is ascending 1.5 feet per second. Erica is in a hot air balloon that is 548 feet above the ground and is descending 1.4 feet per second. After how many seconds will the hot air balloons be the same number of feet above ground?

• 52 seconds

• 120 seconds

• 75 seconds

• 3,480 seconds

Tags

CCSS.8.EE.C.8C

Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat at 25 mph and is decreasing his speed by 0.7 mph each second. Which of the following equations could be used to determine x, the number of seconds it will take for the boats to be traveling the same speed?

• 12x + 0.2 = 25x - 0.7

• 12 - 0.2x = 25 + 0.7x

• 12.2x = -25.7x

• 12 + 0.2x = 25 - 0.7x

Tim's high school played 14 football games this year. The team won most of their games. They were defeated during 2 games. Write an equation that could be used to find how many games they won.

• 14 + x = 2

• x - 2 = 14

• x + 2 = 14

• 14 + 2 = x

Tags

CCSS.HSA.CED.A.3

Tags

CCSS.6.EE.B.7