MATH 313 Algebraic Thinking Polynomials and Linear Functions Math Midterm Exam

Hello! Please help me with my math EXAM!!! I have a two part exam, the first part is 25 multiple choice questions. ( I will be posting these questions in about 2 hours).

The second part is 10 questions and for these questions, you must follow the directions of each question carefully and show all of your work step by step!!! ( (I have uploaded them for you)

Here is the link to the math book incase you need it (The exam is based on chapters 12, 13, 14).

https://drive.google.com/file/d/1QAJfAhBkxIvEOZpy9IgZ0bh-KdqiFi0G/view?fbclid=IwAR06IsBsgLkCPXoxE-vEQHTtbB8Utwdq9tUa317W4pi5EklnrJC6cwJD3uM

Midterm 1
This calculator-free midterm is designed as a post-assessment of your understanding of important
ideas in Chapters 12, 13 and parts of 14. Please ask if you have any questions. Good luck!
1. Multiply the following polynomials using a rectangular area model. Label each of the
original polynomials and resulting components in your diagram. Clearly indicate how your
diagram shows the solution. Write your solution in lowest terms.
(n + 4) • (5n + 2)
2. Can the following data be modeled with a linear function? Say how you know.
x
y
1
3
2
9
x
y
-4
52
-1
43
3
27
4
28
4 5
81 243
7
19
12
4
3. How many dots are in figure 12? What about figure n? Explain how you know using algebraic
thinking, labeling any quantities you refer to.
4. Is this a proportional situation? Why or why not? If yes, describe the relationship. If not,
give a counter-example that shows it is not proportional.
If 8 chocolates cost $1.20, how much do 12 chocolates cost, assuming that
each chocolate costs the same amount?
5. Two workers, Ava and Bob, working 9 hours made 243 parts. Ava makes 13 parts in 1 hour.
a. Write two equations, one for each worker, relating hours worked and parts made.
Label each variable.
b. If the workers work at a steady rate throughout the day, who is more productive,
Ava or Bob? Briefly explain how you know.
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6. Please circle T for true or F for false for each of the following statements. If the statement is
false, explain why it is false. If the statement is true, simply circle true.
a. Distance-time graphs are always either increasing or constant.
T
F
b. In a position-time graph, the slope of the line represents ‘total distance traveled’.
T
c. Michael got an increase in his salary and increases his donations to local charities. T
d. = 3 describes a proportional relationship.
e.
is a linear function.
T
T
F
F
F
F
7. Consider the following story problem: Lizeth left her apartment for a coffee shop. She
walked down University Avenue for three blocks at a constant rate, then instantly began jogging
at a constant rate for three more blocks. Halfway to the coffee shop, she realized that she forgot
to lock her apartment! She immediately turned and sprinted back towards her apartment at a
constant rate. She caught her breathe for a few moments as soon as she arrived home while
locking her door. To ensure she would not be late to meet her Chrissy, she immediately sprinted
to the coffee shop at a constant rate.
a. Graph the relationship between Lizeth’s position from apartment and time.
b. Graph the relationship between Lizeth’s distance traveled and time. Use the same scale
as in part (a), and put part (b) right under (a).
For each graph, make it clear what part of your function corresponds with her different parts
of her travels.
3
8. Solve the following in expanded form. Show each step of your work.
9. Determine whether the following problems are functions or not. If they are not function(s),
you must explain why it is not a function.
a. (8,3), (7,4), (6,3), (5,2), (4,1), (3,0), (2,1), (0,2)
b. (3,8), (4,7), (3,6), (2,5), (1,4), (0,3), (1,2), (2,0)
10. A dog eats 12 pound of dog food every day. The dog’s owner buys a bag that weighs 24
pounds. What amount A remains after d days? Graph the problem and describe each part of the
equation you find.
Graph : ?
A=?
Slope = ?
d=?
y – intercept = ?
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