Drawing & Solving Inequalities
x+28>73
x>45
13+d=37
d=24
A movie lasts less than 150 minutes. The previews take 18 minutes. How long can the movie itself be, m, in minutes?
Make conclusion too!
Inequality: m+18<150
Answer: m < 132
Conclusion...say and we will check!
A school club already has $28 from donations. They sell snack boxes for $9 each and end with $100 total. How many boxes, x, did they sell?
A) define the variable
b) make the equation and solve it
c)make a conclusion
Define x=number of boxes they sell
Inequality: 28+9x=100
Answer: x = 8
Conclusion... say and we will check!
8x-19≤45
x ≤ 8
6x=78
x=13
A school bus can carry at most 72 students. There are already 19 boys, 24 girls, and 6 teachers on the bus. How many more students, s, may join?
A) define the variable
b) make the inequality and solve it
c)make a conclusion
Define s=number of students that may join
Inequality: 19+24+6+s≤72
Answer: s≤23
Conclusion... say and we will check!
A gym charges a joining fee of $27 plus $14 per month. After some months, the total bill is $153. How many months, m, did the person pay for?
A) define the variable
b) make the equation and solve it
c)make a conclusion
Define m= number of months the person payed for
Inequality: 27 + 14m =153
Answer: m = 9
Conclusion... say and we will check!
2.5x+5>15
x > 4
7y+13=62
y=7
Bonusss
Congratulations! Free points!
A walking path forms the shape of a rectangle around the outside of an athletic field. The area formed by the path has a length of 1,000 feet and a width of 550 feet. Karima's team is proposing to extend the length of the athletic field, which means that the walking path will also be extended. The area of the rectangle formed by the new path will be 660,000 square feet. What will be the new length of the rectangle formed by the path?
Use L as the variable.
A) Make equation and solve
B) write conclusion
(1000+x) x 550 = 660 000
1000+x = 1200
The new length of the rectangle 1200 feet.
x > 80
9( z - 17 )= 45
z=22
Ryan wants to save at least $125.50. He already has $38.25 and saves $12.50 each week. How many weeks, w, does he need to save?
A) define the variable
b) make the inequality and solve it
c)make a conclusion
Define w=number of weeks Ryan needs to save
Inequality: 38.25+12.50w≥125.50
Answer: w≥6.98
Conclusion... say and we will check!
Bonus
Congratulation
-x/5 ≤ -7
x ≥ 35
7x+13 = 4x+34
x=7
A school club is selling cookies. They already have $45.50. Each box sold earns $8.75, but they must pay a delivery fee of $12.25. They want to have more than $120 after paying the fee. How many boxes, b, must they sell?
A) define the variable
b) make the inequality and solve it
c)make a conclusion
Define b=number of boxes they need to sell
Inequality: 45.50+8.75b−12.25>120
Answer: b>9.91
Round up become 10, they must sell 10.
Conclusion... say and we will check!
A fundraiser starts with $52.0. Each bracelet sold adds $14.5, but they paid a one-time table fee of $8.0. After sales, the total money is $247.0. How many bracelets, b, were sold?
A) define the variable
b) make the equation and solve it
c)make a conclusion
Define b=number of bracelets sold
Inequality:52.0+14.5b−8.0=247.0
Answer: b=14
Conclusion... say and we will check!