Janice is working as a babysitter for the Harold Family. They plan to leave for their date at 7:00 pm and be back by 12:00 am. If the equation f(x) = 15x + 20 models the amount that Janice will earn, where x is the number of hours she works, and f(x) is the total money she earns, what is an appropriate domain?

James is creating a budget. He has exactly $20.25 to spend on gas each month. Gas is currently $2.25 a gallon. If the function f(x)=20-2.25x represents the amount of money he has left after buying x gallons of gas, what is the domain?

Constraints are things that _______ options in problems.

Which inequality represents "at least 5 people attending"?

Which inequality represents "less than 4 ounces"?

Which inequality represents "no more than 30 students"?

A student takes a test with multiple choice (m) and short answer (s) problems. Multiple choice problems are worth 2 points, short answers are worth 5 points, there are over 50 questions on the test, and no more than 200 points possible. Identify all the constraints that restrict the problem.

Emma is planning a birthday party and wants balloons and party hats. She has $20 to spend. Each balloon costs $1, and each party hat costs $2. She wants to buy at least 5 balloons. She needs to have enough items so that each of her 12 friends gets either a balloon or a hat. Emma doesn't want to buy more than 15 items in total.

Let x represent the number of balloons and y represent the number of party hats. Select all the inequalities represented by the situation.

Emma is planning a birthday party and wants balloons and party hats. She has $20 to spend. Each balloon costs $1, and each party hat costs $2. She wants to buy at least 5 balloons. She needs to have enough items so that each of her 12 friends gets either a balloon or a hat. Emma doesn't want to buy more than 15 items in total.

Let x represent the number of balloons and y represent the number of party hats. Select all the inequalities represented by the situation.

A class is planning a garden. They will plant tomatoes and carrots and have space for no more than 20 plants. They must plant at least 5 tomato plants and need to plant more carrot plants than tomato plants. Their plant budget is $30 with each tomato plant costing $2 and each carrot plant costing $1.

Let x represent the number of tomato plants and y represent the number of carrot plants. Choose all the inequalities represented by the situation.

Bashir has $3410 to invest in two different investment accounts, Account A and Account B. The accounts earn simple interest for one year.

Account A earns 6% interest, Account B earns 2% interest. He wants to earn at least $196 in interest.

Bashir puts x dollars in Account A and y dollars in Account B.

Which system of constraints represents the situation?

$$\sqrt{50}$$  

$$\sqrt{243}$$  

$$\sqrt{63}$$  

$$2\ \sqrt{7}\ -5\ \sqrt{7}$$  

$$2\sqrt{8}\ +\ 3\sqrt{2}$$  

$$_3\sqrt{81}\ +\ _3\sqrt{3}$$  

$$\sqrt{\frac{a}{b}}=\ \frac{\sqrt{a}}{\sqrt{b}}$$  

$$\frac{\sqrt{16x^5}}{\sqrt{2x}}$$  

Rewrite the expression $$\sqrt[7]{x^8}$$ using rational exponents

Select all the values that are equivalent to $$\frac{\sqrt[]{24}}{\sqrt[]{8}}$$ .

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

If the lines are parallel to each other and the slope of the blue line is 1/4, what is the slope of the purple line?