Solving Equations
Solve for x.
4x-7=3(x+5)
x=22
Create a number line graph for the following inequality
x>=12
answers vary
A movie theater charges $8 per ticket. If Allie has $53, how many tickets can she buy?
6 tickets
What is the largest planet in the solar system?
Jupiter
Solve for x.
1/(x-2)=2/(x+4)
x=8
Solve and graph the solution for the following inequality.
3x+15>2x-7
x > -22
A student has $31 to spend at the school store. T-shirts cost $12, and laptop stickers cost $3 per sticker. If the student wants to buy 1 t-shirt, write an inequality that represents how many stickers the student can buy, at most.
12+3x<=31
How many bones are in the adult human body?
206
(5+3x)/(x+1)=3
No Solution
Solve and graph the following inequality. Write your answer as an improper fraction
-4(x+7)<= 2x+17
x>=-15/2
A gym charges a $20 sign-up fee plus $15 per month. Jordan has paid a total of $95.
(a) write an equation/inequality to model the situation, and define the variables.
(b) For how many months has Jordan been a member?
(a) 15m + 20 = 95 where m=months
(b) 5 months
What country has the most combined men's and women's FIFA World Cup titles?
Germany with 6 (4 men, 2 women)
2[5(x-2)+10]=10x
Infinitely Many Solutions
Solve and graph the following inequality.
7(4x+6)>14(2x+3)
No solution
A rectangular garden has a length that is 4 feet longer than its width. The garden must have a perimeter of no more than 52 feet.
What is the greatest possible length and width of the garden?
W = 11ft
L = 15ft
What is the smallest country in the world, by land area?
Vatican City
Find the value of a to produce infinitely many solutions.
(12x-a)/6 = 2x+3
a = -18
Can an inequality ever have one solution? Explain why or why not, or give an example.
Yes.
x^2<=0
A school is planning a field trip. The bus can hold at most 48 people There are already 6 teachers and chaperones riding the bus, none of whom have to pay for the trip. Each student needs to pay $18 for the trip, and the school has already raised $150 to help cover the cost. If the total cost of the trip is at most $1,000, what is the greatest number of students who can attend?
41 students
What is the name of the deepest point in Earth's ocean?
Challenger Point