CHAPTER 4 TEST REVIEWQuestion 1Question 2Question 3Question 4Question 5Question 6Question 7Question 8Question 9Question 10

Question 11Question 12Question 13Question 14Question 15Question16Question 17Question 18Question 19Question 20

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

ANSWER

Question 2The 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 3Write a real-world equation with two variables.

ANSWER

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

ANSWER

Question 5Describe the difference between domain and range.

ANSWER

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

ANSWER

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

ANSWER

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

ANSWER

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

ANSWER

Question 10Write 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 11Graph functions y = x – 5 and y = 2x + 7

ANSWER

Question 12One 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 13A 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 14Describe the difference between a linear and a nonlinear function.

ANSWER

Question 15Graph y = 0.5x2 + 3

ANSWER

Question 16Tamie 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

Question 17a. A ____________ is any set of ordered

pairs.

b. The variable for the range is called the ____________________________ because it depends on the domain.

ANSWER

Question 18a. Graphs used to represent

situations that may not have numerical values or graphs with numerical values are not included are called __________________________________

b. The variable for the domain is called the ______________________________ because it can be any number.

ANSWER

Question 19a. _________________________ can take on

any value, so there is no space between data values for a given value.

b. 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

Answer to Question 1

y = 125x

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x y

-2 -250

0 0

2 250

Answer to Question 2

y = 17x

8500 tons

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Answer to Question 3

(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.

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Answer to Question 4

Quadrant 3

Wondering why? Click on the question mark.

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Answer to Question 5

Domain describes the independent variable (x).

The range describes the

dependent variable (y).

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Answer to Question 6

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x y

6 2

-1 3

4 -3

Answer to Question 7

(This is only an example)

y = 6x

y = dependent variable

x = independent variable

6 = constant

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Answer to Question 821

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Answer to Question 9

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.

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Answer to Question 10a(t) = 6000t

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Answer to Question 11

y = x - 5

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y = 2x + 7

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.

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Answer to Question 13

rate of change = 200

Interpretation = The family drove 200

miles per day

Initial value = 680

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Answer to Question 14

A linear function has a rate and

looks like a straight line.

A nonlinear function is a

curve. A rate does not exist.

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Answer to Question 15

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Answer to Question 16

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Answer to Question 17a. relation

b. dependent variable

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Answer to Question 18

a. qualitative graphs

b. independent variable

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Answer to Question 19

a. Continuous

b. quadratic function

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Answer to Question 20function

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VOCABULARYRelationFunctioncontinuous datadependent variable,independent variablequadratic function qualitative graph linearNonlinearRangedomain