CHAPTER 4 TEST REVIEW v Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Question 10 Question 11 Question 12 Question 13 Question 14 Question 15 Question16 Question 17 Question 18 Question 19 Question 20

Question 1 Eric competes in jump rope competitions. His average is 125 jumps per minute. Write an equation, make a table and graph this situation. ANSWER

Question 2 The number of trees saved by recycling paper is shown. Write an equation and use the equation to find how many trees could be saved if 500 tons of papers are recycled. ANSWER

Question 3 Write a real-world equation with two variables. ANSWER

Question 4 If a coordinate point with a negative x-value, and a negative y-value was graphed, what quadrant is the point located? ANSWER

Question 5 Describe the difference between domain and range. ANSWER

Question 6 Express this relation in a table and graph. {(6, 2), (-1, 3), (4, -3)} ANSWER

Question 7 Write an equation with an independent variable, dependent variable, and a constant. ANSWER

Question 8 Find f(5) if f(x) = 3x + 6 ANSWER

Question 9 How do you know how to choose numbers that make sense for the domain and range? ANSWER

Question 10 Write an equation for the following situation. A hot air balloon can hold 90,000 cubic feet of air. It is being inflated at a rate of 6,000 cubic feet per minute. The total cubic feet of air a(t) is a function of the time in minute t. ANSWER

Question 11 Graph functions y = x – 5 and y = 2x + 7 ANSWER

Question 12 One store sells pear for $5.75 per pound and the other sells pear at a constant rate with points of (2, 11.90) and (3, 17.85). Compare the rates of the two stores. ANSWER

Question 13 A family drove to an amusement park for a vacation. After that they averaged 200 miles per day for 8 days. They drove a total of 1,880 miles over six days. Assume the relationship is linear. Find and interpret the rate of change and initial value. ANSWER

Question 14 Describe the difference between a linear and a nonlinear function. ANSWER

Question 15 Graph y = 0.5x2 + 3 ANSWER

Question 16 Tamie rides her bike at a steady rate. She coast downhill which increases her speed at increasing rates. Sketch a qualitative graph from this situation. ANSWER

ANSWER Question 17 A ____________ is any set of ordered pairs. The variable for the range is called the ____________________________ because it depends on the domain. ANSWER

Question 18 Graphs used to represent situations that may not have numerical values or graphs with numerical values are not included are called __________________________________ The variable for the domain is called the ______________________________ because it can be any number. ANSWER

Question 19 _________________________ can take on any value, so there is no space between data values for a given value. A function in which the greatest power of the variable is 2 is called a ____________ __________________. ANSWER

Question 20 A _________________ is a relation in which every member of the domain (input values) is paired with exactly one member of the range. ANSWER

y = 125x Answer to Question 1 x y -2 -250 2 250 BACK TO QUESITON

y = 17x 8500 tons Answer to Question 2 BACK TO QUESITON

(This is just an example) The equation y = 14x represents the amount of money I will have after x weeks if I save $14 a week. Answer to Question 3 BACK TO QUESITON

Answer to Question 4 Quadrant 3 Wondering why? Click on the question mark. Answer to Question 4 BACK TO QUESITON

Answer to Question 5 Domain describes the independent variable (x). The range describes the dependent variable (y). Answer to Question 5 BACK TO QUESITON

x y 6 2 -1 3 4 -3 Answer to Question 6 BACK TO QUESITON

Answer to Question 7 (This is only an example) y = 6x y = dependent variable x = independent variable 6 = constant Answer to Question 7 BACK TO QUESITON

21 Answer to Question 8 BACK TO QUESITON

Answer to Question 9 BACK TO QUESITON Numbers that make sense for the domain and range are the same numbers that make sense logically for the situation. For example, you need to use whole numbers when describing items or people, while you can have decimals when talking about money or weight. Answer to Question 9 BACK TO QUESITON

a(t) = 6000t Answer to Question 10 BACK TO QUESITON

y = x - 5 Answer to Question 11 y = 2x + 7 BACK TO QUESITON

Answer to Question 12 One store has a rate of $5.75 per pound. The other store has a rate of $5.95 per pound. Answer to Question 12 BACK TO QUESITON

Interpretation = The family drove 200 miles per day rate of change = 200 Interpretation = The family drove 200 miles per day Initial value = 680 Answer to Question 13 BACK TO QUESITON

A linear function has a rate and looks like a straight line. A nonlinear function is a curve. A rate does not exist. Answer to Question 14 BACK TO QUESITON

Answer to Question 15 BACK TO QUESITON

Answer to Question 16 BACK TO QUESITON

relation dependent variable Answer to Question 17 BACK TO QUESITON

Answer to Question 18 qualitative graphs independent variable BACK TO QUESITON

Continuous quadratic function Answer to Question 19 BACK TO QUESITON

Answer to Question 20 function BACK TO QUESITON

VOCABULARY Relation Function continuous data dependent variable, independent variable quadratic function qualitative graph linear Nonlinear Range domain