Solving 1 Step Equations
x + 9 = 12
What is X= 3
2X+8 = 3X
What is X=8
· One gym charges an initial fee of $30 and a monthly fee of $10.
· The other gym charges a monthly fee of $12.
Write an equation that could be used to find out how many months, x, it would take for both memberships to cost the same?
What is 10X+30 = 12X
Ace Plumbing Service charges $35 per hour plus a $25 travel charge for a service call. Good Guys Plumbing Repair charges $40 per hour for a service call with no travel charge. How long must a service call be for the two companies to charge the same amount?
What is 5
2x+5=23
What is x=9
What is the value of x that makes this equation true?
4x+5=x+14
What is X=3
Bucket A is 6 liters full of liquid and is being filled at a rate of 3 liters per minute. Bucket B is 12 liters full of liquid and is being filled at a rate of 1.5 liters per minute. Both buckets will have the same amount of liquid after x minutes.
Write an equations to match the situation
What is 3x + 6 = 1.5x + 12
Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?
What is X=3 Hours
7x+3=38
What is X=5
What value of x makes this equation true?
0.5x−2=0.2x+7
What is X=30
Target charges $90 to design a room and $10 per hour they are at your house. Walmart charges $80 to design a room and $25 per hour they are at your house. Which equation could be used to find the number of hours for which the cost of both stores is the same?
What is 10x+90 = 25X+80
One tank of water contains 520 gallons, but is is leaking 25 gallons per hour. A second tank of water contains 160 gallons of water but 35 gallons of water are being added to this tank every hour. After how many hours (h) will the two tanks have the same amount of water?
What is X = 6 Hours
3(x+2)=12
What is X=2
0.3x+10=0.8x−20
What is X= 60
A waiter makes $4 in tips for every table he helps and is required to give $10 to the hostess at the end of his shift. A waitress at a different restaurant earns $6 in tips for every table she helps and is required to give the hostess $20 at the end of her shift. The waiter will make more money after x tables are helped.
Write an Inequality to model the situation
What is 4x – 10 > 6x – 20
Gym A charges a registration fee of $75 plus $35.75 per month for members. Gym B charges a registration fee of $164 plus $17.95 for members. After how many months would the total cost at Gym A and Gym B be the same for members?
What is X=5months
5.5X+8= 57.5
What is x= 9
What value of x makes the equation true?
x/6−4=x/9−2
What is X= 36
In Ms. Johnson’s class a student will get 3 points for having their name on their paper and 4 points for each question that is correct. In Mr. Gallegos class, a student will get 7 points for having their name on their paper and 2 points for each question correct. Which inequality could be used to determine x, the number of questions that would give you a higher grade in Ms. Johnson’s class?
What is 4x + 3 > 7 + 2x
Swimming Pool I contains 50.6 gallons of water. Ellie will begin filling Swimming Pool I at a rate of 2.2 gallons per minute.
Swimming Pool II contains 150.6 gallons of water. Taylor will begin draining Swimming Pool II at a rate of 7.8 gallons per minute.
After how many minutes will both swimming pools contain the same amount of water?
What is x= 10 mins