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Functions, Slope and Scatter Plots

Total questions: 75

Worksheet time: 3hrs 14mins

Name
Class
Date
1.

A relationship between two quantities in which the ratio of one quantity to the other quantity is constant and the graph of the relationship goes through (or begins) at the origin.

a)

Proportional Relationship

b)

Nonlinear Relationship

c)

Nonproportional Relationship

d)

Linear Relationship

2.

A measure of the steepness of a line on a graph; the rise divided by the run.

a)

Slope

b)

Rate of Change

c)

Unit Rate

d)

Linear Equation

3.

An equation whose solutions form a straight line on a coordinate plane.

a)

Linear Equation

b)

Linear

c)

Function

d)

Slope-intercept form of an Equation

4.

The y-coordinate of the point where the graph of a line crosses the y-axis.

a)

Y-intercept

b)

Slope

c)

Domain

d)

X-intercept

5.

A linear equation written in the form y=mx+b, where m represents the slope and b represents the y-intercept.

a)

Slope-intercept form of an Equation

b)

Linear Equation

c)

Linear Function

d)

Relation

6.

A set of data is the made of two paired variables.

a)

Bivariate Data

b)

Input

c)

Relation

d)

Function

7.

An input-output relationship that has exactly one output for each input.

a)

Function

b)

Function Notation

c)

Function Table

d)

Linear Function

8.

A table of ordered pairs that represent solutions of a function.

a)

Function Table

b)

Function Notation

c)

Linear Function

d)

Function

9.

The value substituted into an expression or function.

a)

Input

b)

Output

c)

Y-intercept

d)

X-intercept

10.

The value that results from the substitution of a given input into an expression or function.

a)

Output

b)

Input

c)

Domain

d)

Independent Variable

11.

A function whose graph is a straight line.

a)

Linear Function

b)

Nonlinear Function

c)

Function

d)

Function Table

12.

The output of a function; a variable whose value depends on the value of the input, or independent variable.

a)

Dependent Variable

b)

Independent Variable

c)

Input

d)

Domain

13.

The set of all possible input values of a function.

a)

Domain

b)

Range

c)

Output

d)

Dependent Variable

14.

The input of a function; a variable whose value determines the value of the output, or dependent variable.

a)

Independent Variable

b)

Dependent Variable

c)

Output

d)

Function

15.

A function whose graph is not a straight line.

a)

Nonlinear Function

b)

Linear Function

c)

Proportional Relationship

d)

Nonproportional Relationship

16.

The set of all possible output values of a function.

a)

Range

b)

Domain

c)

Input

d)

Independent

17.

A set of ordered pairs.

a)

Relation

b)

Function

c)

Range

d)

Domain

18.

The vertical change when the slope of a line is expressed as the ratio of "rise over run".

a)

Rise

b)

Run

c)

Range

d)

Independent Variable

19.

The horizontal change when the slope of a line is expressed as the ratio of "rise over run".

a)

Run

b)

Rise

c)

Range

d)

Output

20.

A test used to determine whether a relation is a function. If any vertical line crosses the graph of a relation more than once, the relation is not a function.

a)

Vertical Line Test

b)

Mapping Diagram

c)

Function

d)

Linear Function

21.

A test used to represent the relationship between input and output values; the test reveals a function if each input value is paired with only one output value.

a)

Mapping Diagram

b)

Vertical Line Test

c)

Function

d)

Direct Variation

22.

The x-coordinate of the point where the graph of a line crosses the x-axis.

a)

X-Intercept

b)

Y-Intercept

c)

Range

d)

Dependent Variable

23.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

24.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
25.
a)
Function
b)
Not a Function
26.
a)
Function
b)
Not a Function
27.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
28.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
29.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
30.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
31.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a function
32.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
33.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
34.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
35.
Is this mapping a function and how can you tell?
a)
Yes its a function cause all the numbers have lines
b)
No it's not a function because there a 5 in both ovals
c)
No it's not a function because the x value 5 has y values of  2 & 9
d)
No it's not a function because the y value 5 has x values of  2 & 9
36.
Which of the following guarantees a mapping will not be a function?
a)
A x value repeats
b)
An y value repeats
c)
An x value has two or more arrows leaving it
d)
A y value has two or more arrows arriving at it
37.
Which of the following best describes a function?
a)
A special relationship where each x and y are individually paired
b)
A special relationship where each x value has only one y value 
c)
A special relationship where each y value has only one x value 
d)
A special relationship where each the x and y value and always equal 
38.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
39.
Is the graph pictured a linear or nonlinear function?
a)
Linear
b)
Nonlinear
40.
Is this graph a linear or nonlinear function?
a)
nonlinear
b)
linear
41.
Is the equation linear or nonlinear?
a)
Linear
b)
Nonlinear
42.
Is the equation linear or nonlinear?
a)
Linear
b)
Nonlinear
43.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
44.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
45.
Which function is linear?
a)
y = 2x + 4
b)
y = 2x2 + 4
c)
y = 2x(4 − 3x)
d)
xy = 15
46.
Which function is nonlinear?
a)
y = 2(x + 4) − 5
b)
2y = x
c)
y = 1.5x + 3.02
d)
y = x(2 + x)
47.
Which function is nonlinear?
a)
y = x ⋅ x ⋅ x ⋅ x
b)
y = 0.2x
c)
y = x
d)
y = x + x + x + x
48.
Which equation represents slope intercept form?
a)
y=5+2x
b)
5y=x+5
c)
y=2x+5
d)
4y+2x=8
49.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
50.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
51.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
x
52.
What is the y-intercept in the following equation:  y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
53.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
54.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
55.
If m = 1/2 and b = -4, what is the correct equation in slope-intercept form?
a)
y=1/2x+4
b)
y=1/2x-4
c)
y=1/2-4
d)
y=4x+1/2
56.
Determine the slope and y-intercept from the following equation:   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
57.
Write the equation of the line.
a)
y=3/5x+1
b)
y=3/5x-1
c)
y=5/3x+1
d)
y=3/5x+1
58.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
59.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
60.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
61.
Find the slope of the line that passes through:
(-4, 7) and (-6, -4)
a)
2/11
b)
13/2
c)
3/10
d)
11/2
62.
Find the slope of the line that passes through:
(5, -10) and (5, -4)
a)
undefined
b)
0
c)
- 14/10
d)
10/14
63.
Find the slope of the line that passes through:
(-3, -4) and (7, 6)
a)
0
b)
Undefined
c)
-1
d)
1
64.
Find the slope
a)
-2/3
b)
3/2
c)
-3/2
d)
2/3
65.
Find the slope
a)
4/5
b)
5/4
c)
-5/4
d)
-4/5
66.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4/1
d)
4/1
67.
What type of slope?
a)
negative
b)
positive
c)
zero slope
d)
downward slope
68.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
69.
Find the slope from the table.
a)
1/4
b)
-1/4
c)
-4/1
d)
4/1
70.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
71.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
72.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
73.
The number of siblings you have and your weight. 
a)
Positive correlation
b)
Negative correlation
c)
No correlation
d)
All of the above
74.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
75.
What type of association does this scatter plot show?
a)
positive linear association
b)
negative linear association
c)
no association
d)
nonlinear association

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