Solve the Equation
3x + 4 = 10
x = 2
Graph the inequality on a number line.
x > 2
Open circle at 2, shaded to the right.
You rent a bike for a day. The rental company charges $20 upfront and $5 per hour. If your total bill was $45, how many hours, h, did you rent the bike?
Write and solve an equation to represent the situation.
5h+20=45
5 hours
Write an inequality to represent the situation.
A car should not exceed the speed limit,s, of 65 mph on a highway.
s <= 65
Solve.
3(x + 2) = 12
x = 2
5y - 7 = 13
x = 4
Graph the inequality on a number line.
y <= -3
Closed circle at -3, shaded to the left.
If you have $20 and spend $3 each day, how many days, d, until you have $5 left?
Write and solve the equation.
20-3d=5
5 days
To qualify for a scholarship, a student needs a GPA of at least 3.5. Write an inequality.
g >= 3.5
A farmer has a tank that can hold no more than 3/2 gallons of water. Currently, the tank contains 1/4 gallon. The farmer adds water at a rate of 1/3 gallon per minute. How many minutes can the farmer add water without exceeding the tank’s capacity?
Write and solve an inequality.
1/4 + 1/3m <= 3/2
3.75 minutes
or an equivalent value
2/3x +5 = 9
x = 6
Solve the inequality, then graph the solution on a number line.
2x + 1 <= 5
Closed circle at 2, shaded left.
x <= 2
A baker is preparing cookie dough. He has 3 cups of sugar in a container, and he uses 1/2 cup of sugar for each batch of cookies. If he wants to end up with 1 cup of sugar left, how many batches, b, of cookies can he make?
Create and solve an equation.
3 - 1/2b = 1
4 batches of cookies
A car rental company charges $50 per day plus $0.10 per mile. Write an inequality for the total cost being under $100.
0.10m + 50 < 100
Solve
-3(1/3x - 4) + 5 > -2
x < 19
8 - 5n = 48
n = -8
Solve the inequality, then graph the solution.
4-3m<10
Open circle at -2, shaded right.
m> -2
You want to order a book online. The book costs $12, and shipping costs $4 per order. If you have at most $40 to spend, how many books, b, can you order?
Create and solve an inequality to represent the situation.
12b +4 <= 40
x <= 3 books
If a gym membership costs $25 per month and you have a budget of $300, how many months can you afford?
12 months
Write an equation, do not solve.
"Three times the sum of a number and 4 is equal to 2 less than twice the number."
3(x + 4) = 2x - 2
(x-3)/-15=2
x = -27
Solve the inequality, then graph the solution.
y/5 +6 >= -1
Closed circle at -35, shaded right.
y >= -35
A personal trainer recommends burning more than 600 calories during each workout. If you burn 150 calories jogging and 50 calories per mile walking.
What is the least number of miles you should walk to follow the trainer's recommendations?
10 miles
You are filling jars with honey. Each jar can hold at most 2.5 pounds of honey. You’ve already poured 3/4 of a pound into a jar and you’re adding honey at a rate of 0.6 pounds per minute. How many more minutes can you pour honey without exceeding the jar’s capacity?
Create an inequality.
3/4 + 0.6m <= 2.5
9x^2 -28 = 8
x = +- 2