Algebra 1 Final Study Guide

Function m gives the amount of money you have to spend, in dollars, for d drinks. Describe in words the meaning of the equation m(6)=18 in this situation. (Unit 4 Lesson 2 & 3)

Function d gives the distance in miles of Denise's bicycle ride after t hours of riding. The graph below represents d. Determine which statements below are true. Be sure to explain your answer. (Unit 4 Lesson 1-3)

• d(8)>d(2)

• d(1)=5

• d(3)=d(5)

• d(9)=0

• d(t)=1when t is 8

A ball bounces several times after it is dropped. The graph shows the height of the ball over time. Height is measured in meters and time is measured in seconds. (Unit 4 Lesson 6) Mark each statement as true or false and explain how you know. If it is false, correct the statement.

• The function has no maximum value.

• The minimum value of the function equals zero.

• The vertical intercept shows how many bounces it takes until the ball stops.

• The horizontal intercept shows the time that the ball hits the ground.

• The function has more than one point that touches the minimum value.

Functions M and B give the amount of music CDs and books Lisa had each month. The graphs of the two functions are shown below. Use this information to answer questions 4, 5 and 6 below. (Unit 4 Lesson 9) Which function value is greater: M(Feb)or B(Feb)?

• M(Feb)

• B(Feb)

Functions M and B give the amount of music CDs and books Lisa had each month. The graphs of the two functions are shown below. Use this information to answer questions 4, 5 and 6 below. (Unit 4 Lesson 9)

Are there one or more values of t in which the equation M(t)=B(t)? If so, which one or which ones?

Shawn has 60 oranges. Each week he eats 4 oranges. Function A gives the remaining amount of oranges as a function of the number of weeks that have passed. Use this information to answer questions 6 and 7 below. (Unit 4 Lesson 4 & 5)

Complete the table below.

Shawn has 60 oranges. Each week he eats 4 oranges. Function A gives the remaining amount of oranges as a function of the number of weeks that have passed. Use this information to answer questions 6 and 7 below. (Unit 4 Lesson 4 & 5)

Solve the equation A(w)=15 and explain what the solution means in the situation.

Using the graph below, determine the domain and range of the function, state if they can be whole numbers only or can have all numbers including decimals. (Unit 4 Lesson 10 & 11)

• Domain: all numbers from 0 to 3.5. Range: all numbers from 0 to 30.

• Domain: all numbers from 0 to 30. Range: all numbers from 0 to 3.5.

• Domain: all whole numbers from 0 to 3.5. Range: all whole numbers from 0 to 30.

• Domain: all whole numbers from 0 to 30. Range: all whole numbers from 0 to 3.5.

Function B is defined by the equation B(n) = 30 + 5n. It gives the monthly cost, in dollars, of a cell phone as a function of the number of gigabytes one goes over in data, n. (Unit 4 Lesson 5) Find the value of B(7).