Inequalities
Write an inequality and define your variables for the following. The eggs cost no more than $3.50.
3x-8=10
x=6
Write a compound inequality for the following. Define your variables.
The lowest you can score on a test is 0 and the highest you can score is a 4.
Let s be your score on a test.
0≤s≤4
Write an inequality and define your variable. You have a budget of $20 to go out with friends. The movie you see costs $7.50 and each snack costs an additional $2.00. How many snacks can you purchase?
Let s be number of snacks you can buy.
20≥7.5+2.5s
or
s≤5
-28=2(3x-5)
x=-3
Your parents offer you between $2.00 and $5.00 per goal you score in soccer based on how cool it looked. You can score between 0 and 5 goals per game.
Write a compound inequality for how much you can make in a single game.
0≤x≤25
where x is pay in dollars
Simplify and graph
3x-4>2x+6
x>10
graph should be an open circle at 10 pointing right
3(2x-4)+1=6x+10
No Solution
You have budgeted between $300 and $500 for sacks of flour to begin a bakery. Each sack of flour costs $8.00. Write a compound inequality which represents how many sacks of flour you can purchase to be within budget. You cannot buy a decimal amount of flour.
37≤s≤62
Simplify and graph -2(3x-4)≤-1
Hint: Figure out the boundary point then figure out whether bigger numbers work, or smaller numbers work
x≥1.5
Graph should look like a closed circle over 1.5 pointing to the right
Pretend the slashes were fraction bars
5/(x+4)=3/x
x=6
Four families have agreed to ride on a tour bus. There is room for 3 more families. Each family has at least 2 kids but no more than 5 kids. Each family has either 1 or 2 parents. Each person drinks between 8 oz and 36 oz of water per day. Write an inequality that represents how much water is needed per day.
96≤w≤1764