Solving Inequalities
-72≤ y/2
y≥ -144
Draw a graph for b≤ 27.5
Circle should be closed
Arrow should be pointing to the left
Clay County is gearing up for their annual Math Field Day competition. They need to order boxed lunches for all proctors. Chic-Fil-A charges them $6.75 per box for lunch. The budget for the event is $225.
Write an inequality that can be used to solve for the maximum number of boxed lunches that can be purchased.
6.75x≤ 225
A local electrician charges a $55 fee for a work order and $78.04 per hour while they work. If the total bill was $289.12, how many hours did the electrician work?
Write the equation that would be used to solve this problem.
78.04+55=289.12
78.04h+55=289.12
h=3
t-50/4<400
t<1650
Solve and draw a graph for 6≤ x+2
x≥ 4
Closed circle over 4
Arrow pointing to the right
A great white pelican can hold about 700 cubic inches in its bill. After flying down to try to catch a fish, the pelican has 100 cubic inches of water in his mouth.
Write the inequality that could be used to find the maximum amount of water that can be added to the bill without spilling out.
w+100≤ 700
The 9 members of a running club meet each Saturday to run 5.2 miles together. During the rest of the week, each member of the club runs the same mileage, m, on their own. The total mileage all the club members run for the week is 148.5 miles.
Complete the equation.
__ (m+__)=___
9(m+5.2)=148.5
Solve
-58.2=6x+9.6
x=-11.3
14.7≥ b-12.8
b≤ 27.5
Solve and draw a graph for -5x<108
Circle should be over -21.6
Circle should be open
Arrow should be pointing to the right because you flipped yo sign!
Brodhead Fitness charges a sign up fee of $15. Additionally, they charge a daily rate for visiting the gym. Francesca has no more than $32.50 to spend on the gym for the month.
Write the inequality that would be used to find the maximum amount of money she can spend on daily visits to the gym for the month.
15+g≤ 32.50
A server at the Main Street Grill earned $7.80 per hour plus $87.40 in tips. Write an equation that can be used to determine the number of hours, h, the server worked to earn $136.15.
7.80h+87.40=136.15
Solve -4(w+7)=108
w=-34
-5x<108
x>-21.6
Solve the equation and draw a graph for
x-12>6
Circle should be over 18
Circle should be open
Arrow should be pointing to the right
Tiffany has $425 in her checking account. She wants to buy a new pair of running shoes while leaving at least $375 in her account.
Write an inequality to represent the situation. Let x represent the cost of the running shoes.
425-x≤ 375
Esmeralda is saving money to take a trip to Siesta Key, FL with her friends. Every week, she sets aside the same portion of her paycheck after taking out the $382 she needs for her weekly expenses. After 11 weeks, Esmeralda has $506 saved for her trip. Determine the amount that she saved each week.
Write the expression that would be used to solve this equation
11(x-382)=506
Solve
n/-3+3.8=-7.4
n=33.6
w+32/3>17/6
w>-47/6
Draw a graph for W>-47/6
Circle should be open
Arrow should be pointing to the right
Michael takes his bike to a bike shop for repair. Labor costs $17.50 an hour. Michael's budget allows him to spend no more than $112 on labor.
Write an inequality that can be used to determine the number of possible hours, x, the bike shop can work on Michael's bike.
17.50x≤ 112
Write the equation that would be used to solve this problem.
19.40g+650=882.80
Solve
3.83=8.2-k
k=4.37