Identifying variables
Jasmine is helping her mom with a small vegetable patch. Tomato plants are selling for $4 and pepper plants are selling for $3.
What would x represent in this scenario.
x= the number of tomato plants
Write as an equation: the product of 8 and a number c is 72
8c = 72
What are the four inequality signs? LABEL THEM CORRECTLY
< - Less Than
> - Greater Than
≤ - Less Than or Equal to
≥ - Greater Than or Equal to
2 less than the product of 4 and a number is at most 6
2 - 4x ≤ 6
While solving the following equation below, Skylar said that x = 3.5. Is she correct? If not, solve and find the correct answer.
1/2(x)+5=12
No, Skylar is not correct. The answer should be x=14
Rent a Car charges $0.62 per mile and a flat daily rate of $80.
What would y represent in this scenario?
the total cost to rent a car for a day
Peter and his friends went to play putt-putt. They paid $2.00 for rentals plus $7.50 per game. They spent a total of $39.50.
Write an equation that represents the scenario.
7.5x+2=39.50 or 2+7.5x=39.50
The goal is to raise more than 100 coats.
>
Ashlee, an up an coming influencer, has 400 followers on social media and is gaining 75 followers each day. Ashlee needs more than 1,000 followers to get paid. Write an inequality to represent this scenario.
Let x = # of days
400 + 75x > 1000 or
75x + 400 > 1000
Solve the following inequality (bonus points for doing it by hand):
4n−2≤6
n ≤ 2
Members of a soccer team raised $1818.50 to go to a tournament. They rented a bus for $960.50 and budgeted $35.75 per player for meals.
What do x and y represent in this scenario?
x= number of players
y= total cost
Cody’s Gym charges a $15 fee to join and $30 per month. Cody spent a total of $375 at this gym.
Write an equation that could be used to determine how many months Cody was a member of the gym.
Let x = # of months
15 + 30x = 375 or
30x + 15 = 375
You have to be at least 54 inches to ride The Hulk in Islands of Adventure.
≥
Derek charges a base fee of $12 to walk a dog and $5 per minute. How many minutes will Dereck need to walk the dog to earn at least $30?
Write the inequality for this scenario.
12 + 5x ≥ 30 or
5x + 12 ≥ 30
Peter and his friends went to play putt-putt. They paid $2.00 for rentals plus $7.50 per game. They spent a total of $39.50. How many games did they play?
Create the equation and solve.
2 + 7.5x = 39.5
x= 5
Under her cell phone plan, Sadie pays a flat cost of $61.50 per month and $4 per gigabyte. She wants to keep her bill at $75.50 per month.
What do x and y represent in this scenario?
x= # of gigabytes
y= total cost on bill
Write the equation for:
The sum of three consecutive integers is 300. Which is the correct equation to model this situation? Then, find the three integers.
x+x+1+x+2=300 or 3x+3=300
Kendall wants to earn at most 15 hours of community service this year.
≤
The sum of three consecutive integers is less than 64. Which is the correct way to model this algebraically?
x + x + 1 + x + 2 < 64 or
3x + 3 < 64
Ashlee, an up an coming influencer, has 400 followers on social media and is gaining 75 followers each day. Ashlee needs more than 1,000 followers to get paid. How many days will it take her?
Create the equation and solve.
400 + 75x > 1000
x > 8
Mackenzie has a points card for a movie theater.
What do the x and y variables represent in this situation?
x= # of visits
y= total points earned
Write the equation the represents this scenario:
Mike is putting up a fence around a rectangular patio with 344 ft of fencing. The length is 4 more than 2 times the width.
remember: P= 2(L) + 2(W)
344= 2(2w+4) + 2(w) or
334=4w+8+2w or
334=6w+8
Jeremiah needs to spend under $80.
<
Last Friday Samantha had $22.50. Over the weekend, she received some money for cleaning. She now has more than $32.00. Where x represents the money she earned cleaning. Which inequality represents this situation?
22.5 + x > 32 or x + 22.5 > 21
Trinity had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?
Create the equation and solve.
500 - 25x ≤ 200