Unit 4 Study Guide/Sample Work Assignment
Please complete the following questions as your review for unit 4. You will submit your work in the sample work drop box at end of lesson 8 in unit 4.
1)Which number(s) is/are a solution of the inequality? There can be more than one correct answer.
a) 13b) -15c) 20d) 3
2)Which number(s) is/are a solution of the inequality? There can be more than one correct answer.
a) 1b) -2c) 5d) 2
3)The data in the table below is showing Abby’s weight over a period of 4 months. Draw a graph to represent the data. What can you conclusion can you draw about Abby?
Month (x) / Weight (y)1 / 203
2 / 175
3 / 165
4 / 150
Minutes (x) / Amount (y)
10 / 10
12 / 25
14 / 75
16 / 150
4)The table shows the relationship between the amountof bacteria on your unwashed hands after a certain number of minutes. Is the relationship linear or nonlinear? Is it increasing or decreasing?
5)The ordered pairs (1,4) (2,16) (3,64) and (4, 256) represent a function. Write an equation that represents this function.
6)The ordered pairs (1, 1) (2,8) (3,27) and (4, 64) represent a function. Write an equation that represents this function.
7)You want to buy your friends some $50 i-tunes gift cards. You have a $5 off coupon for the total purchase. Write a function to represent the cost of the gifts. What would be the cost of 4 gift cards?
8)Given the relation (3,4) (5,7) (8, 4) and (10, 3),draw a mapping diagram. Is the relation a function?Explain how you know.
9)The function represents the cost, C(n), of n sodas. What is the cost of purchasing 12 sodas?
10)Is the sequence arithmetic? If so, what is the common difference?
11)Is the sequence arithmetic? If so, what is the common difference?
12)A doctor is doing a study of the height of children who eat their vegetables. He recorded the height of the children each year. The first year, the child was 36 inches. The second year, the child was 40 inches. The third year, the child was 44 inches. Write a function rule to represent the height of the child as an arithmetic sequence. How tall will the child be after 6 years?
13)Lee earns $6.25 per hour mowing lawns.
- Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.
- How much does Lee earn if she works 5 hours and 15 minutes?
14)Graph the relation (-4,5) (1, 2) (4, 4). Use the vertical line test to determine if the relation is a function. Explain your response.
15)Elisa charges $10 plus $5.00 each hour for babysitting. The function rule M(h) =$5h+10 describes the relationship between the number of hours h and the money she will make M for babysitting. If Elisa will babysit a maximum of 5 hours, draw a graph of the function.
16)Graph
17)During a store sale, the regular price for jeans is discounted by $7. There is a state sales tax of 3%, and the $7 discount is applied before the sales tax is calculated.
- Write an expression that shows the regular price r ofjeans minus the $7 discount.
- Write a rule for the function p(r) that expresses the final price p of jeans with the discount applied and sales tax added.
- How much would you pay during the sale for jeans regularly priced at $24.99?
18)How do you tell if a relationship is linear? How do tell if it’s increasing? Decreasing?