Unit 1 Test Review Name _________________________

Independent & Dependent Variables: Identify the independent and dependent variables for each situation described below.

1. The circumference of a circle is equal to pi times the diameter.

2. David measures how many inches his tomato plant grows every week.

3. 𝑦 = 3𝑥 − 12

4.

5. Amount of gas in car tank; How far you can drive

Is it a Function?

6. 7. 8. 9.

10. −3,0 , 2,4 , −3,1 , (0,2) 11. 12.

13.

Practice Representin’: Words, Equations, Tables, Relations, Mappings, & Graphs

14. In words: The cost c of a plumber charges $89 for a house call plus $50 per hour to repair a sink.

Write an Equation aka Function Rule:

Fill in the Table: Hours Cost

0 1 2 3 4 5

Set of Ordered Pairs: Domain: Range:

Draw a Mapping Diagram:

Graph the data from your table:

 

More Practice Writing Equations:

16. Write an equation for the given situation: Martin earns $8.50 per hour working at a local hardware store. Write a function for his income I.

17. Laurence has $0.43, made up of nickels and pennies. If n is the number of nickels he has and p is the number of pennies he has, write a function rule for the situation. Fill in the table.

n p

Identify the Domain and Range:

18. List the domain and range of each relation:

{(2,3) (3,4) (3,5) (4,9) (-1,2)} D:________________ R:___________________Is this a function?_______

{(1,4) (2,4) (7,3) (-1,4) (-2,-2)} D:_______________ R:___________________Is this a function?_______

Practice writing Now-Next Rules:

19.

20. –𝟓𝟎,−𝟏𝟓,−𝟑,− 𝟑𝟓

21. Find the value of a $37 shirt after a 25% discount.

Applications of Functions:

Caleb is hosting a sumo-wrestling contest. He wants to know the maximum ticket price he can charge to make the most amount of money.  

22. Graph the data in the table. Make sure to label each axis.

             

23. Identify the Independent & Dependent Variable:

Independent:__________________________

Dependent:____________________________    

24. Describe the pattern relating the variables. (“As __________ increases, …..”)

 

25. Based on the ticket price and the expected number of tickets to be sold, fill in the table with the daily income. Graph the relationship between Price and Income. Label each axis.  

 

26. Identify the Independent & Dependent Variable:

Independent:__________________________

Dependent:____________________________

27.  Describe the relationship between price and income.

 

28.  Ticket price for maximum income?

Hours 3 4 5 6 Miles 40 100 160 220

Price per Ticket, P (in dollars) 3 6 9 12 15 18 21 24 27

Number of Tickets Sold, N 800 725 650 575 500 425 350 275 200

Solve the following equations:

29. 𝟓𝒙 − 𝟕 = 𝟑 30. 𝒙!𝟔!𝟑

= −𝟒

31. 𝟑 = 𝟔𝒙 + 𝟏𝟓 32. 𝟏𝟐 = 𝟒 + 𝟒𝒙𝟓

Classify the following numbers as subsets of the Real Number System. More than one subset may apply.

33. 0.31313131… 34. 𝟒 35. -2.341027…

Simplifying Expressions: Make sure to follow the order of operations.

36.    𝟕 + 𝟐 −𝟒 − 𝟏𝟓 ÷ 𝟑 = 37. 𝟓∙𝟐!(𝟓!𝟔)𝟐

𝟑𝟐!(𝟏𝟎!𝟒)= 38. –𝟐 𝟑 − 𝟓 + 𝟏𝟒 ÷ 𝟕 =

Translating Algebra:

39. Eleven plus the quotient of a number and three. 47.  𝟑 𝒎 + 𝟒 = 𝟏𝟑

40. Nine less than a number squared is less than 23. 49. 𝟒𝒎 − 𝟏𝟒