Font size
Worksheets11/14: Pre Calc MCM (🐱🔵🔵🔵)
Total questions: 231
Worksheet time: 35hrs 25mins
Kindly maximize the image if needed and match the definition to the correct term
Quadratic Function
Linear Function
Slope
Kindly maximize the image if needed and match the definition to the correct term
Quadratic Function
Linear Function
Slope
Kindly maximize the image if needed and match the definition to the correct term
Quadratic Function
Linear Function
Slope
You Do #2
(a)
You Do #3
Kindly enter response without spaces
(a)
You Do #4
(a)
You Do #5
(a)
You Do #6
(a)
R: {0, 1, 2, -4}
R:{-4, -3, 1}
R:{1, -3, -4}
Given the following table, write the linear equation.
m = 3/4
m = 5/8
y = 2x - 3
y = 2x - 10
What is the y-intercept for the given graph?
(0,-5)
(0,5)
(0,1)
(0,-1)
y = 1/5x + 5
5x - 3y = 15
Which graph represents 2x + 4y = 12?
y = 10
Slope-Intercept Form?
(y = mx +b)
y=mx+b is called ____________ .
Slope Intercept Form
Point Slope Form
Standard Form
Quadratic Function
When writing the slope intercept form of the equation 8x+3y=15 what is the first thing that you would do to get "y" by itself?
Subtract 8
Subtract 15
Subtract 8x
Divide by 3
Graph
Graph
Which line would be parallel to y = 3x - 5
y = 1/3x -5
y = -3x + 10
y = 3x +4
y = -1/3x + 4
m = 3/4
Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?
y=1/6x +25/6
y = 1/6x + 4
y = -6x - 2
y = -6x + 4
Which of the following lines is parallel to the line y=−43x+5 ?
y=34x−2
y=−43x−1
y=43x+1
y=−34x+3
What makes two line parallel?
Same rate of change
Opposite slopes
Same y-intercepts
Canceling out all terms
Which of the following lines is perpendicular to the line y=−3x+2 ?
y=31x+4
y=−31x+1
y=3x−5
y=−3x+1
The graph of part of the linear function g is shown on the grid. Which inequality best represents the domain of the part shown?
−9≤x<2
−6<g(x)≤3
−6≤g(x)<3
The graph of part of linear function g is shown on the grid.
Which inequality best represents the domain of the part shown?
−9<x≤2
−9≤x<2
−6<g(x)≤3
−6≤g(x)<3
A student worked out as a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x, the time in minutes.
Which answer choice best describes the domain and range of the function for this situation?
Domain: All real numbers greater than or equal to 0 and less than or equal to 100
Range: All real numbers greater than or equal to 0 and less than or equal to 50
Domain: {-2}
Range: {100}
Domain: All real numbers greater than or equal to 0 and less than or equal to 50
Range: All real numbers greater than or equal to 0 and less than or equal to 100
Domain: {100}
Range: {-2}
The graph of part of the linear function g is shown on the grid. Which inequality best represents the domain of the part shown?
−9≤x<2
−6<g(x)≤3
−6≤g(x)<3
Which line would be parallel to y = 3x - 5
y = 1/3x -5
y = -3x + 10
y = 3x +4
y = -1/3x + 4
Slope-Intercept Form?
(y = mx +b)
The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.
y = 8x + 50
C = 50m +8
y = 50x + 8
C = 8m + 50
A plumber charges $50 to make a house call. He also charges $25 per hour for labor.
How much would it cost for 2.5 hours of labor?
$100
4.50
$112.50
$65.00
$123.45
Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15
How much would 50 shirts cost?
y= 40
y= 400
y= 415
y= 65
y= 390
A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece.
If you have 24 questions worth 4 points apiece, how many questions will be worth 2 points apiece?
24
2
5
0
You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.
Write an equation to represent the situation
2x - 3y = 240
3y - 2x = 240
2x + 3y = 240
2 + 3 = 240
You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.
If you sold 60 cups of lemonade, how many cups of orange drink did you sell?
60
40
10
120
What was the original amount of Carson's Debt?
How long did it take Carson to pay back his entire debt?
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.
How many rats will there be in 67 days?
If they sold 10 pumpkins, find how many tomatoes they sold.
Max's goal is to practice playing drums for 300 minutes this week.
On Sunday he practiced for 127 minutes. On Tuesday he practiced for 38 minutes.
How many more minutes does Max need to practice in order to meet his goal?
135
465
165
145
All tickets for a concert are the same price. The ticket agency adds a fixed fee to every order. A person who orders 5 tickets pays $93. A person who orders 3 tickets pays $57. How much do 4 tickets cost?
75
3
18
30
Suppose a 5-minute overseas call costs $5.91 and a 10-minute call costs $10.86. The cost of the call and the length of the call are related. The cost of each minute is constant. How long can you talk on the phone if you have $12 to spend?
11.2 minutes
12.8 minutes
8.8 minutes
21.8 minutes
The math department sponsors a Math Family Fun Night each year. In the first year, there were 35 participants. In the third year, there were 57 participants.
How many participants are predicted for the 5th year?
79
31
2
3
While on vacation in Washington DC, the cab ride for the Dulles airport to the hotel is 15 miles. The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile for the entire trip.
How much does it cost to travel 7 miles in a cab?
42.75
7.50
63.75
13.50
Marty is spending money at the average rate of $3 per day. After 14 days he has $68 left. The amount left depends on the number of days that have passed.
How much money does Marty have after 9 days?
83
1
273
219
You are visiting Baltimore, MD and a taxi company charges a flat fee of $3.00 for using the taxi and $0.75 per mile.
If a taxi ride cost $15, how many miles did the taxi travel?
16
14.25
20
18.25
In a supermarket, apples cost $0.50 each, and grapefruits cost $2 each. If you want to spend exactly $15 at the supermarket, and need 7 grapefruit. How many apples could you purchase?
7
2
10
5
The amusement park charges $20 to get in plus $1.50 per ride. Which linear equation below represents this relationship.
y=1.5+20x
y=1.5x + 20
y = 20x + 1.5
y= 21.5x
The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.
y = 8x + 50
C = 50m +8
y = 50x + 8
C = 8m + 50
A plumber charges $50 to make a house call. He also charges $25 per hour for labor.
How much would it cost for 2.5 hours of labor?
$100
4.50
$112.50
$65.00
$123.45
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.
Mrs. Harris is going to the movies. She spends $10 per ticket and $5 per bucket of popcorn. She only wants to spend $50.
The cost for a health club membership is $20 per month plus an initial $49 membership fee.
Find the equation of the line in the graph.
y = 2x + 5
y = -2x + 5
y = 5 + 2x
y = - x + 5
A plumber charges $50 to make a house call. He also charges $25 per hour for labor.
How much would it cost for 2.5 hours of labor?
$100
4.50
$112.50
$65.00
$123.45
A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece.
If you have 24 questions worth 4 points apiece, how many questions will be worth 2 points apiece?
24
2
5
0
Suppose a 5-minute overseas call costs $5.91 and a 10-minute call costs $10.86. The cost of the call and the length of the call are related. The cost of each minute is constant. How long can you talk on the phone if you have $12 to spend?
11.2 minutes
12.8 minutes
8.8 minutes
21.8 minutes
The math department sponsors a Math Family Fun Night each year. In the first year, there were 35 participants. In the third year, there were 57 participants.
How many participants are predicted for the 5th year?
79
31
2
3
A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.
The additional fee of $8.
The initial fee of $25.
The additional fee of $25.
The initial fee of $8.
A plumber charges $50 to make a house call. He also charges $25 per hour for labor.
How much would it cost for 2.5 hours of labor?
$100
4.50
$112.50
$65.00
$123.45
You are visiting Baltimore, MD and a taxi company charges you a flat fee of $3.00 for using the taxi and $0.75 per mile.
Which of the following equations matches the situation?
0.75x + 3y = 50
y = 0.75x + 3
y = 3x + 0.75
3x + 0.75y = 50
50 = -0.75x + y
Evan is going to the 50th state fair this weekend. It costs $10 to enter and each ride is $2. Create a linear function that could be used to determine how many "x" rides Evan can go on.
What does the variable "y" represent?
the number of rides he goes on
the total cost of going to the fair
Bob has $150 in his savings account and saves $40 per month.
y=150 + 40
y=40x + 150
y=150x + 40
Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which equation can be used to find the amount of money Sonya has left on her account after x days?
y = 40 + 2x
y = - 2x + 40
y = 2 + 40x
y = 2 - 40x
A man is climbing down from 100 feet high descending 30 feet per minute.
y = - 30x + 100
y = 100 + 30x
y = 100x + 30
y = 100x - 30
A plumber charges $50 to make a house call. He also charges $25 per hour for labor.
How much would it cost for 2.5 hours of labor?
$100
4.50
$112.50
$65.00
$123.45
Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15
How much would 50 shirts cost?
y= 40
y= 400
y= 415
y= 65
y= 390
You are visiting Baltimore, MD and a taxi company charges a flat fee of $3.00 for using the taxi and $0.75 per mile.
If a taxi ride cost $15, how many miles did the taxi travel?
16
14.25
20
18.25
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. How much money will she make if she baby-sits 5 hours?
H = 3c + 5
C = 5h + 3
20
28
A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours. What is the cost of renting the canoe for 6 hours?
200
y= 30x + 20
x + 30y -20
160
Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds each week. Write the equation for the total pounds, P, of aluminum cans after w weeks. How long will it take Rufus to collect 400 pounds of cans?
P = 100w + 25
12
20
P = 25w + 100
What type of function will fit these data points?
Linear
Quadratic
Exponential
None of the above
What type of function will fit these data points?
Linear
Quadratic
Exponential
None of the above
How can you tell if a table represents a linear function?
There is a common difference
There is a common SECOND difference
There is a common ratio
How can you tell if a table represents a quadratic function?
There is a common difference
There is a common SECOND difference
There is a common ratio
Maria thinks an exponential function fits this data, but Crate thinks it's quadratic. Who is correct (if either)?
Maria is correct (exponential)
Crate is correct (quadratic)
Both are correct
Neither is correct
Select all that are true about this table.
This data is linear
This data is quadratic
The equation is y = 6x + 2
The equation is y = 3x + 2
The equation y = -5x + 10 represents a (a) function (linear, quadratic or exponential?).
The equation y = 2x2−3 represents a (a) function (linear, quadratic or exponential?).
The equation y = 7(0.25)x represents a (a) function (linear, quadratic or exponential?).
Which graph represents a quadratic function ?
Is the Equation Linear, Exponential, Quadratic, or not a function at all?
Linear
Exponential
Quadratic
Not a function
Determine whether the image represents a Linear, Quadratic or Exponential function.
Linear
Quadratic
Exponential
Determine whether the image represents a Linear, Quadratic or Exponential function.
Linear
Quadratic
Exponential
Determine whether the image represents a Linear, Quadratic or Exponential function.
Linear
Quadratic
Exponential
Determine whether the image represents a Linear, Quadratic or Exponential function.
Linear
Quadratic
Exponential
Determine whether the image represents a Linear, Quadratic or Exponential function.
Linear
Quadratic
Exponential
Determine whether the image represents a Linear, Quadratic or Exponential function.
Linear
Quadratic
Exponential
Determine whether the image represents a Linear, Quadratic or Exponential function.
Linear
Quadratic
Exponential
Determine whether the image represents a Linear, Quadratic or Exponential function.
Linear
Quadratic
Exponential
Determine whether the image represents a Linear, Quadratic or Exponential function.
Linear
Quadratic
Exponential
Select the function that represents a quadratic relation.
y = x
y = 2x
y = x2
y = x3
What type of function can be used to model the data given in the table?
Linear
Quadratic
Exponential
None of the above
When the 1st differences are constant, the given values have a ________________ relationship.
linear
quadratic
exponential
linaer
When the 2nd differences are constant, the relationship is _________________.
linear
quadratic
exponential
linaer
What are the constant 1st differences, and the relationship of these ordered pairs?
+8, so it is linear
-8, so it is linear
+2, so it is linear
+8, so it is quadratic
Quadratic functions have a degree of ___________?
1
2
3
4
How should this function be classified?
Linear
Exponential
Quadratic
None of the above
How should this function be classified?
Linear
Exponential
Quadratic
None of the above
What type of function is this?
Linear
Exponential
Quadratic
Non-function
What type of function is the equation f(x)=x2+3
Linear
Exponential
Quadratic
Non-function
y=ax2+bx+c
[3,∞)
(−∞,3]
(−∞,∞)
[−1,5]
(−∞,3]
[3,∞)
(−∞,∞)
[−6,3]
[−3,∞)
[−1,∞)
(−∞,∞)
(−∞,1]
Identify the type of function from the table.
linear
quadratic
exponential
absolute value
Identify the type of function from the table.
linear
quadratic
exponential
absolute value
What is the orange line called?
Line of Solutions
Roots
Vertex
Axis of Symmetry
Identify the function.
Linear
Quadratic
Exponential
None of the Above
Identify the function.
Linear
Quadratic
Exponential
None of the Above
Identify the function.
Linear
Quadratic
Exponential
None of the Above
Identify the function.
Linear
Quadratic
Exponential
None of the Above
Identify the function.
Linear
Quadratic
Exponential
None of the Above
Identify the function.
Linear
Quadratic
Exponential
None of the Above
Identify the function.
Linear
Quadratic
Exponential
None of the Above
1.1
Which answer matches the question?
That we are not our own but belong, body and soul, both in life and death, to God and to our Savior Jesus Christ.
God is the creator and sustainer of everyone and everything. He is eternal, infinite, and unchangeable in his power and perfection, goodness and glory, wisdom, justice, and truth. Nothing happens except through him and by his will.
That we are not our own but belong, body and soul, both in life and death, to God.
God created us male and female in his own image to know him, love him, live with him, and glorify him. And it is right that we who were created by God should live to his glory.
That we are not our own but our souls, both in life and death, to God and to our Savior Jesus Christ.
2.1
Which answer matches the question?
That we are not our own but belong, body and soul, both in life and death, to God and to our Savior Jesus Christ.
God is the creator and sustainer of everyone and everything. He is eternal, infinite, and unchangeable in his power and perfection, goodness and glory, wisdom, justice, and truth. Nothing happens except through him and by his will.
That we are not our own but belong, body and soul, both in life and death, to God.
God created us male and female in his own image to know him, love him, live with him, and glorify him. And it is right that we who were created by God should live to his glory.
That we are not our own but our souls, both in life and death, to God and to our Savior Jesus Christ.
3.1
Which answer matches the question?
That we are not our own but belong, body and soul, both in life and death, to God and to our Savior Jesus Christ.
God is the creator and sustainer of everyone and everything. He is eternal, infinite, and unchangeable in his power and perfection, goodness and glory, wisdom, justice, and truth. Nothing happens except through him and by his will.
There are three persons in the one true and living God: the Father, the Son, and the Holy Spirit. They are the same in substance, equal in power and glory.
God created us male and female in his own image to know him, love him, live with him, and glorify him. And it is right that we who were created by God should live to his glory.
That we are not our own but our souls, both in life and death, to God and to our Savior Jesus Christ.
4.1
Which answer matches the question?
That we are not our own but belong, body and soul, both in life and death, to God and to our Savior Jesus Christ.
God is the creator and sustainer of everyone and everything. He is eternal, infinite, and unchangeable in his power and perfection, goodness and glory, wisdom, justice, and truth. Nothing happens except through him and by his will.
There are three persons in the one true and living God: the Father, the Son, and the Holy Spirit. They are the same in substance, equal in power and glory.
God created us male and female in his own image to know him, love him, live with him, and glorify him. And it is right that we who were created by God should live to his glory.
That we are not our own but our souls, both in life and death, to God and to our Savior Jesus Christ.
5.1
Which answer matches the question?
That we are not our own but belong, body and soul, both in life and death, to God and to our Savior Jesus Christ.
God is the creator and sustainer of everyone and everything. He is eternal, infinite, and unchangeable in his power and perfection, goodness and glory, wisdom, justice, and truth. Nothing happens except through him and by his will.
There are three persons in the one true and living God: the Father, the Son, and the Holy Spirit. They are the same in substance, equal in power and glory.
God created us male and female in his own image to know him, love him, live with him, and glorify him. And it is right that we who were created by God should live to his glory.
God created all things by his powerful Word, and all his creation was very good; everything flourished under his loving rule.
1.2
Which question matches the answer?
"That we are not our own but belong, body and soul, both in life and death, to God and to our Savior Jesus Christ."
What is our only hope in life and death?
What is God?
How many persons are there in God?
How and why did God create us?
What is our only certainty in life and death?
2.2
Which question matches the answer?
"God is the creator and sustainer of everyone and everything. He is eternal, infinite, and unchangeable in his power and perfection, goodness and glory, wisdom, justice, and truth. Nothing happens except through him and by his will."
What is our only hope in life and death?
What is God?
How many persons are there in God?
How and why did God create us?
What is our only certainty in life and death?
3.2
Which question matches the answer?
There are three persons in the one true and living God: the Father, the Son, and the Holy Spirit. They are the same in substance, equal in power and glory."
What is our only hope in life and death?
What are the three persons in God?
How many persons are there in God?
How and why did God create us?
What is our only certainty in life and death?
4.2
Which question matches the answer?
God created us male and female in his own image to know him, love him, live with him, and glorify him. And it is right that we who were created by God should live to his glory.
What is our only hope in life and death?
What are the three persons in God?
How many persons are there in God?
How and why did God create us?
What is our only certainty in life and death?
5.2
Which question matches the answer?
God created all things by his powerful Word, and all his creation was very good; everything flourished under his loving rule.
What else did God create?
What are the three persons in God?
How many persons are there in God?
How and why did God create us?
What is our only certainty in life and death?
1.3
What scripture is this catechism based on?
Romans 14:7–8
John 14:7–8
Matthew 14:7–8
Mark 14:7–8
Luke 14:7–8
2.3
What scripture is this catechism based on?
Psalm 86:8-10,15
Romans 14:7–8
2 Corinthians 13:14
Genesis 1:27
Genesis 1:31
3.3
What scripture is this catechism based on?
Psalm 86:8-10,15
2 Corinthians 13:14
Romans 14:7–8
Genesis 1:27
Genesis 1:31
4.3
What scripture is this catechism based on?
Psalm 86:8-10,15
2 Corinthians 13:14
Romans 14:7–8
Genesis 1:27
Genesis 1:31
5.3
What scripture is this catechism based on?
Psalm 86:8-10,15
2 Corinthians 13:14
Romans 14:7–8
Genesis 1:27
Genesis 1:31
Kindly identify the proper titles of the three circles
Sin
God's Design
Brokenness
Gospel
Repentance
How do we move from "Brokenness" to embracing the Gospel?
Repent
Believe
Ask for forgiveness
Place your trust in Jesus
Obedience
What scripture supports repentance and belief?
Mark 1:15
John 3:16
Romans 1:25
Genesis 1:31
Philippians 2:13
Kindly match the scripture to its proper verse
"God saw all that He made, and it was very good"
Mark 1:15
John 3:16
Romans 1:25
Genesis 1:31
Philippians 2:13
Kindly match the scripture to its proper verse
"All have sinned and fall short of the glory of God."
Mark 1:15
John 3:16
Romans 3:23
Genesis 1:31
Philippians 2:13
Kindly match the scripture to its proper verse
"They exchanged the truth of God for a lie, and worshiped and served something created instead of the Creator."
Mark 1:15
John 3:16
Romans 1:25
Genesis 1:31
Philippians 2:13
Kindly match the scripture to its proper verse
"For it is God who is working in you, enabling you both to desire and to work out His good purpose."
Mark 1:15
John 3:16
Romans 1:25
Genesis 1:31
Philippians 2:13
Kindly match the scripture to its proper verse
"Repent and believe in the good news."
Mark 1:15
John 3:16
Romans 1:25
Genesis 1:31
Philippians 2:13
Kindly match the scripture to its proper verse
"For God loved the world in this way: He gave His One and only Son."
Mark 1:15
John 3:16
Romans 1:25
Genesis 1:31
Philippians 2:13
What scripture addresses "sin"?
Mark 1:15
John 3:16
Romans 3:23
Genesis 1:31
Philippians 2:13
What scripture supports "Brokenness"?
Mark 1:15
John 3:16
Romans 1:25
Genesis 1:31
Philippians 2:13
What scripture supports Recover and Pursue?
Mark 1:15
John 3:16
Romans 1:25
Genesis 1:31
Philippians 2:13
What scripture supports Gospel?
Mark 1:15
John 3:16
Romans 1:25
Genesis 1:31
Philippians 2:13
What causes man to move from "God's Design" to "Brokenness"?
(a)
How do we move from "Gospel" to "God's Design"?
Recover
Pursue
Repent
Believe
Trust
After we repent and believe, we are able to recover and pursue God’s design for our lives. We can start right where we are without fret or anxiety about the past.
True
False
The consequence of our sin is separation from God - in this life and for all of eternity.
True
False
The consequence of our sin is brokenness - in this life and for all of eternity.
True
False
After we recover and pursue, we are able to repent and believe God’s design for our lives. We can start right where we are without fret or anxiety about the past.
True
False
Kindly select the things pursued from a state brokenness.
Likes/Subs/Followers
Achievement
Success
Relationships
Fame
Repentance is a change in...
(a)
What four themes do we look for when someone describes their knowledge of the Gospel or their faith in Jesus?
(Listed in the order given on your chart and read from left to right)
(a)
