Inequalities
Literal Equations
Absolute Value
Equations
Equations
Random
Random 2
100
Devon has at most $60 to spend. He wants to buy a pair of sneakers for $22 and spend the rest on t-shirts. Each t-shirt costs $8. Write an inequality to show how many t-shirts Devon can buy.
22+8x<=60
100
Solve for t:
I = PRT
What is
T= I/(RP)
100
Solve: |2w| = 18
What is w = 9 and w = -9
100
A student has received the following test scores: 41% and 99%. What is the lowest grade he can receive on his next test to maintain at least a 76% average? Set up an inequality and solve.
He must score at least an 88% or more.
(41+99+x)/3>=76
100
What does the slope of the line of best fit tell you?
As the temperature increases the predicted Number of Cricket Chirps also increases.
200
Noor brought 21 sheets of stickers. She gave half of a sheet to each of the 30 students at recess. She wants to give teachers 2 sheets each.
Write an inequality that describes the number of teachers, Noor could give sheets of stickers to?
15+2t<=21
200
Solve for W:
P = 2L+2W
What is
W=P/2-L
200
Solve: |8-2y| = 22
What is y = 15 and y = -7
200
According to the line of best fit, about how many chirps would you expect a cricket to make if it was 90 degrees out?
What is about 50 chirps
200
What does the y-intercept of the graph tell you?
In order for the predicted number of cricket chirps to be 0 it would need to be about 30 degrees.
300
The latest online craze is a new game, Kentlake on Seven. You get 1000 points for playing the game. In addition, you get 50 points for each seven-letter word you make with the ten letters you receive. Falco wants to break the record, and he needs 18000 or more points to do so.
Write an inequality to determine the number of seven-letter words, w, Falco could make to break the record.
1000+50w>=18,000
300
Solve for y:
A = (y+x)/2
What is
y = 2A-x
300
Solve: |8 - 2m| + 5 = 13
What is m = 0 and m = 8
300
You plug your phone in to charge. After 60 minutes you unplug your phone. Let f(t) be the battery percentage of your phone t minutes after you plug it in. Explain the meaning of the statement in context of the problem.
f(45)=f(55)
Your phone's battery is equally charged at both 45 and 55 minutes after initially plugging it in to charge.
300
You plug your phone in to charge. After 60 minutes you unplug your phone. Let f(t) be the battery percentage of your phone t minutes after you plug it in. Explain the meaning of the statement in context of the problem.
f(0)=45
At 0 minutes after you plug in your phone, your battery percentage is 45 percent.
400
Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 550 pounds, but Renna and her load of identical packages have a total mass of 720 pounds. Each package has a mass of 37 pounds.
What is the minimum number of whole packages Renna must remove from the elevator to meet the mass requirement?
Renna must remove at least 5 packages to make the elevator operational.
550>=720-37x
400
Solve for b:
A=1/2b*h
What is
(2a)/h=b
400
Solve: 2|-9 + p| + 5 = 15
What is p = 4 and p = 14
400
Write a piecewise function for the following graph.
400
You plug your phone in to charge. After 60 minutes you unplug your phone. Let f(t) be the battery percentage of your phone t minutes after you plug it in. Explain the meaning of the statement in context of the problem.
f(50)>f(80)
After 50 minutes of your phone being plugged in your battery percentage is higher than 80 minutes after you initially plugged it in.
500
A popular rock band recently went on a 3 city tour. They played in front of 39,000 people in Portland and 28,000 people in Vancouver If they played for a total of less than 110,000 people write an inequality showing how many people they played in front of in Seattle, S. What is the most amount of people they could have played in front of in Seattle?
The most they could have played for is 42,999 people.
39,000+28,000+S<110,000
500
Solve for h:
ah+bh=c
What is
h=c/(a+b)
500
Solve: |5b + 8| = 2b - 10
What is (b=-6 is extraneous and doesn't work when you plug it back in!)
b = 2/7
500
Write a piecewise function for the following graph.
500
A student has received the following test scores: 81%, 59%, 72%, 64%, and 63%. What is the lowest grade he can receive on his next test to maintain at least an 70% average? Set up an inequality and solve.
The lowest the student can score on their final test is 81%