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FAST Review #3 Functions, Slope, and Systems

Total questions: 79

Worksheet time: 3hrs 54mins

Name
Class
Date
1.
What letter represents the slope in the equation y = mx + b ?
a)
x
b)
y
c)
m
d)
b
2.
In the following equation, what is the y-intercept?  
y = -3x + 7
a)
-3
b)
7
c)
-3/7
d)
3
3.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
x
4.
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
5.
Find the slope.
6.

Which is the graph of y= -x + 2?

(a)  

7.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
8.
Find the slope of the line.
9.

What is the y-intercept (a)  
Choose from the below words
(-2,0)
(0,2)
(0,-2)
there is no y-intercept
10.
Find the slope between (5,2)  and (3,2).
11.
What is the y-intercept in the following equation:  y=-4x-5
12.

What is the y-intercept in the equation
y= -2x + 5

13.
What does 'b" represent in y=mx=b (a)  
Choose from the below words
y-intercept
x-intercept
slope
14.
Give the equation for the graph
a)
y = 5x - 3
b)
y = 4x + 2
c)
y =-2x + 5
d)
y = - 2x + 4
15.
What is the definition of slope?
a)
How steep a line is. 
b)
The change in the x value over the change in the y value
c)
The change in the y value over the change in the x value
d)
A positive or negative line
16.
What is the slope of the line passing through the points (0,0) and (-5, -5)?
a)
1
b)
1x
c)
-5
d)
-1
17.
What is the slope of the line that passes through the points (2, 6) and (-3, -5)?
a)
5/11
b)
-1
c)
11/5
d)
-11/5
18.
Rise / Run is used for what?
a)
Getting out of bed in the morning
b)
Finding the slope of a line
c)
Track practice
d)
Finding the y intercept of a line.
19.
y intercept = -7
slope = 2/9
Write the equation of the line in slope intercept form. 
a)
y = 2/9x -7
b)
y = - 2/9x + 7
c)
y = -7x + 2/9
d)
y = x
20.
y - intercept = 5
slope = -3
What is the equation of the line in point slope form?
a)
y = 3x
b)
y = -3x
c)
y - 5 = -3x
d)
y - 0 = -3x(x-5)
21.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
22.
a)
Function
b)
Not a Function
23.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
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.
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)
26.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
27.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
28.
Does the table represent a function?
a)
Yes, there  is a repeated x-value. 
b)
No, there aren't any repeated y-values. 
c)
Yes, there are repeated y-values. 
d)
No, there is a repeated x-value. 
29.

Does the graph represent a function? How do you know

a)

Function because it passes the vertical line test

b)

Not a Function because it does not pass the vertical line test

30.
What is the algebraic equation for this table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
31.
Which equation matches the table?
a)
y = x 
b)
y = 5x
c)
y = x - 4
d)
y = x + 4
32.
What is the algebraic equation for this table?
a)
y = 480x
b)
x = y/480
c)
x + 480 = y
d)
480 - x = y
33.

Is function represented by the table linear or nonlinear? (a)  

I know because ​ (b)  

Choose from the below words
linear
nonlinear
it has a constant rate of change
it does not have a constant rate of change
34.
Which function is linear?
a)
y = 2x + 4
b)
y = 2x2 + 4
c)
y = 2x(4 − 3x)
d)
xy = 15
35.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
36.

All of the x values are called what? Choose all that apply

Categorize the following

Domain

Input

independent Variable

Horizontal Axis

Range

Outpput

Dependent Variable

Vertical Axis

x-Values
y-Values
37.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
38.
Given the points (3, 5) (2, 4) (9, 0)  and  (?, 6). What could replace the ? to create a non-function? 
a)

6

b)
3
c)
4
d)

5

e)

2

39.
Which ordered pair could you add to the following list of points to create a function?  (3, 5) (4, 9) (2, 5) 
a)
(3, 7)
b)
(4, 1) 
c)
(1, 9)
d)
(2, 6)
40.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
41.

Domain = ​ (a)  

Range = ​ (b)  

Function ​ (c)  

Choose from the below words
{-4, -2, 0, 2}
{-2, 1}
yes
no
42.

What is a solution to a system of linear equations?

a)

The point where both lines intersect

b)

The point where the y-axis and x-axis meet

c)

An ordered pair that both lines share

d)

A salt dissolved in water

43.

What would the solution be to this system of linear equations?

a)

(0,-1.5)

b)

(1, -3)

c)

(5,0)

d)

(0,0)

44.

What would the solution be to this system of linear equations?

a)

(0,0)

b)

(2,2)

c)

(6,0)

d)

(0,4)

45.

When would we get "infinitely many solutions" to a system of equations?

a)

The lines are parallel, never intersecting

1.

no solution

b)

The lines cross at one point

2.

one solution

c)

The lines are the same and overlap at all points

3.

many solutions

d)

The lines cross at 2 points

4.

never

46.

Match the following graphs to the systems of equations

a)
1.

y=23x+1y=\frac{2}{3}x+1  

y=23x−2y=\frac{2}{3}x-2  

b)
2.

y=−x+7y=-x+7   y=2x+1y=2x+1  

c)
3.

y=−2x+4y=-2x+4   y=−2x+4y=-2x+4   

47.

Which of the following graphs would fit the system of equations?

y=2x−4y=2x-4  

y=−12x+1y=-\frac{1}{2}x+1  

a)
b)
c)
48.
What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x
a)
(3,1)
b)
(1,3)
c)
(-3,1)
d)
(3,-1)
49.

Solve the system of equations by graphing.

a)

(4, 7)

b)

(3, 5)

c)

(6, 7)

d)

(5, 3)

50.

Solve the system of equations by graphing.

a)

(-1, 4)

b)

(1, 0)

c)

No Solution

d)

(0, 2)

51.

Solve the system of equations by graphing.

a)

(-3, 2)

b)

(-3, 6)

c)

(-3, -2)

d)

(-3, -6)

52.

Solve the system of equations by graphing.

a)

(2, 2)

b)

(2, 5)

c)

(5, 2)

d)

Infinitely Many Solutions

53.

Solve the system of equations by graphing.

a)

(2, -5)

b)

(2, 5)

c)

(4, -6)

d)

(-2, -3)

54.

Solve the system of equations by graphing.

a)

(0, 3)

b)

(5, 5)

c)

(-4, 6)

d)

(6, -4)

55.

Write the following in function notation.

A doctor measured a patient’s resting pulse rate at 80 beats per minute.

a)

f(x) = 80y

b)

f(y) = 80y

c)

f(x)=80x

56.

Write the following in function notation.

Attorney A charges a fixed fee on $250 for an initial meeting and $150 per hour for all hours worked after that.

a)

f(x)=250x + 150

b)

f(x) = 150x + 250

c)

f(x) = 150x - 250

57.

Write in function notation.

Plan B: costs $25 monthly one time membership fee and $15 per visit

a)

f(x)=25x + 15

b)

f(x) = 15x + 25

c)

f(x) = 40x

58.

Seth’s father is thinking of buying his son a six-month movie pass for $40. With the pass, matinees cost $1.50. How much would $12 movies cost?

a)

$41.50

b)

$53.50

c)

$58.00

59.

What is the constant?

Julie wants to get ready for her beach vacation in one month. A tanning salon charges a 20 dollar monthly fee and 3 dollars for each visit.

a)

monthly fee

b)

number of visits

c)

total cost

60.

Write the following in function notation.

ABC Furnace charges $75 to make a house call and then $50 an hour after that.

a)

f(x) = 75x + 50

b)

f(x) = 50x - 75

c)

f(x)= 50x + 75

61.

ABC Furnace charges $75 to make a house call and then $50 an hour after that. How much would it cost if it takes them 3 hours to fix your furnace?

a)

$125

b)

$175

c)

$225

62.

A Pizza restaurant offers the following deals” Deal #1: $8.99 for one large pizza and $5 for each additional large pizza on the same order Deal#2: $6.00 per large pizza


What is the cost of 10 pizzas for each deal?

a)

Deal #1- $89.90 Deal #2-$60

b)

Deal #1- $50 Deal #2-$60

c)

Deal #1- $53.99 Deal #2-$60

63.

Attorney A charges a fixed fee on $250 for an initial meeting and $150 per hour for all hours worked after that. Write an equation in slope-intercept form. Attorney B charges $150 for the initial meeting and $175 per hour.


How much would 2 hours cost you at each attorney?

Attorney A ​ (a)   Attorney B ​ ​ (b)  

Choose from the below words
$550
$500
$350
$300
$475
64.

Is the graph proportional or nonproportional? (a)  

What is the y-intercept of the graph? ​ (b)   What does it represent? ​ (c)   What is the slope of the graph? ​ (d)   What does it represent? ​ (e)  

Choose from the below words
proportional
non proportional
10
The candle's starting height
Number of Hours
-1
The candle is burning 1 inch per hour
1
65.
Does this graph represent a proportional relationship?  
a)
No, because it doesn't pass through the origin.
b)
Yes, because it doesn't pass through the origin.
c)
Yes, because it intersects the y axis.
d)
No, because it intersects the x axis.
66.
Which statement best describes the relationship of x and y in the table?
a)
Proportional
b)
Not Proportional
67.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
68.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
69.
Does the equation show a proportional relationship?
a)
Yes
b)
No
70.
Does the equation show a proportional relationship?
a)
Yes
b)
No
71.
Mama Mia’s Pizza sells medium pizza for $7 each and charges a $2 delivery fee per order. Which describes this relationship?
a)
a non-proportional function with a y-intercept of 2
b)
a non-proportional function with a y-intercept of 7
c)
a proportional function with a y-intercept of 2
d)
a proportional function with a y-intercept of 7 
72.

y = −12xy\ =\ -\frac{1}{2}x

73.

y = 3x

74.

y = -1

75.

x = 3

76.

y = 43x − 2y\ =\ \frac{4}{3}x\ -\ 2

77.

y = -2x + 6

78.

y = 5

79.

Do Now: matching pairs

a)
1.

y-intercept of 6

b)
2.

y-intercept of 2

c)
3.

y-intercept of 3

d)
4.

y-intercept of 4

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