Reviewing Systems

by Kyle Marks

| 10 Questions1

5 pts

Yolanda has two dogs, Thor and Jack. Thor eats 30 lbs of food per month and dog treats that weigh a quarter of a pound each. Jack eats 25 lbs of food per month and dog treats that weigh a half a pound each.

How many treats must the dogs eat in order to eat the same amount in pounds per month? What is that amount of food? (Note: number 5 might be a helpful place to start with this problem)

2

5 pts

The product of two numbers of 48. The difference of those numbers is 2.

What are the two numbers? Define your variables. Write a system of equations.

3

3

5 pts

Order the list to show how you would solve this system of inequalities.

- use a point like (0,0) to determine where to shade for each inequality
- use the slope -2 and continue to plot points going down two to the right one
- shade the area where both shaded areas would overlap
- use the slope 5/2 and continue to plot points going up five to the right two
- plot a point at -9 on the y axis
- connect your points with a dashed line
- connect your points with a solid line
- plot a point at 9 on the y axis

4

5 pts

Solve the system of equations by graphing by hand. report your solution and check that your solution is correct.

5

5

5 pts

Define the variables in this question. (Note: this is expanding from question 1)

Let T be the number of treats Thor and Jack eat

Let T be the pounds of food that Thor eats

Let F be the total pounds of food and treats that Thor and Jack eat

Let J be the pounds of food that Jack eats

6

6

10 pts

Write the system of equations for this situation. Use capital letters for your variables and no spaces in the equations. use one space to separate the equations.

7

7

5 pts

In words explain the meaning of the solution.

8

5 pts

After watching the video, graph the system of inequalities on this graph.

9

10 pts

Match the statements to the correct inequality symbols.

- less than
- less than or equal to
- greater than
- greater than or equal to
- not equal to
- is smaller than
- no more than
- more than
- at least
- cannot equal
- below
- maximum
- is larger than
- no less than
- is not the same
- is under
- at most
- above
- minimum
- does not exceed
- exceeds

- <
- ≤
- >
- ≥
- ≠

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