Inequalities
Word problems
Random
Equations
100
3x−5>7
x>4
100
Sarah is saving money to buy a video game that costs $50. She already has $30. Let x represent the additional dollars she needs to save. How much more money does she need if she wants to have at least enough to buy the game?
30+x≥50
x≥20
100
In Minnesota , the temperature was -25oF at 6AM. If the temperature increased by 7oF by 10 AM, and then dropped 16℉ by 9PM what was the temperature by the end of the day?
By the end of the day, the temperature was -34°F.
100
2x+5=15
x=5
200
−2x+6≤10
x≥−2
200
Mt. Blanc has an elevation of 15,774 ft above sea level. The Dead Sea, the lowest elevation, is 1,312 feet below sea level. What is the the difference between these two elevations?
The difference in elevation is 17,086 ft.
200
-3.25 x -5.1
16.575
200
3x+5+2x−7=18
x=4
300
3(2x−4)−5(x+1)≤2(x−3)+7
x≥−18
300
Some number added to -11 is 37. Divide this number by -12. Then, multiply by -8. What is the final number?
32
300
x<4
300
4(2x−3)−3(x+5)+7=2(3x−4)+6
x=−18
400
4(3x−5)−2(2x+1)>3(x−2)+5
x>4.2
400
A class wants to raise at least $600 for a field trip. They already have $180, and they plan to sell raffle tickets for $15 each. Write and solve an inequality to find how many tickets (t) they need to sell.
180+15t≥600
t≥28
400
∣−5⋅4∣+∣−6⋅(−6)∣−8
48
400
3(2x+5)−4(x−2)+7=5x+12
x=6
500
3(2x−4)+5≤2(x+3)+11
x≤6
500
A movie theater has 200 seats. A school group already reserved 120 seats. They want to make sure they do not exceed the total number of seats by reserving more. Each additional group reserves 8 seats. Let x = number of additional groups they can reserve
120+8x≤200
x≤10
500
2(x+3)−3(y−2)+∣z−5∣
x=4,y=6,z=2
5
500
5(x−4)+2(3x+1)=4(x+2)+7
33/7