x show your y - ms. fergusonfergusonmathbms.weebly.com/uploads/5/4/1/1/...linear relationships unit...

Linear Relationships UNIT 3 Warm-Up A

(3-A)

Finding Percents Mentally

Daily Graph

Percent Application

Factoring

Current Unit Problem Sets

x Show your work: y

Find 10% of each of the following numbers. (Move the decimal 1 place to the left.)

1) 600______________ 2) 50______________ 3) 36______________ 4) 574______________ 5) 26.5______________

6) 900______________ 7) 270______________ 8)13.8______________ 9) 246______________ 10) 0.36______________

Find the prime factors, and then write all factor pairs for each number. prime factorization factor pairs

14) 69 ________________ ____________________________________________________________________________________ 15) 70 ________________ ____________________________________________________________________________________

16) Simplify. a) b)

17) Evaluate if and . a) b) c)

18) Solve.

19) Which of the following expressions represents a number (n) less than 12? A. B. C. D.

11) Record the domain in the table. Use the following equation to evaluate for the y-values:

Domain: {-4, -1, 0, 1, 4} Plot the points and sketch the graph. List the Range: ____________________________

12) PETS Three out of every 20 dogs in the U.S. are Golden Retrievers. Write this ratio as a percent.

13) GEOGRAPHY About 9% of the world’s surface is covered by land. Write this percent as a fraction.

Linear Relationships UNIT 3 Warm-Up B

(3-B)


Daily Graph

Percent Application

Factoring


x Show your work: y

Find 10% of each of the following numbers.

1) 90______________ 2) 8000______________ 3) 53______________ 4) 246______________ 5) 55.5______________

6) 640______________ 7) 700______________ 8)22.8______________ 9) 457______________ 10) 0.49______________


14) 71 ________________ ____________________________________________________________________________________ 15) 72 ________________ ____________________________________________________________________________________

16) Simplify.

a) b)

17) 17) Evaluate if and . a) b) c)

18) Solve.

19) Alfredo bought 3 new notebooks for school. He paid $2.49 for all the notebooks. Which equation can be used to find n, the cost of each notebook? A. 9 B. 9 C. 9 D. 9



12) VOTING The rate of voter turnout in the 1932 U.S. presidential election was 0.524. Write this decimal as a percent.

13) COMMUTING On his trip across town, Mark was stopped by a red light at 9 out of 15 intersections. At what percent of intersections was Mark stopped by a red light?

Linear Relationships UNIT 3 Warm-Up C

(3-C)


Daily Graph

Percent Application

Factoring


x Show your work:

y

Find 20% of each of the following numbers. (Find 10% and then double the result.)

1) 600______________ 2) 50______________ 3) 34______________ 4) 621______________ 5) 84.3______________

6) 1,200______________ 7) 270______________ 8)73.1______________ 9) 246______________ 10) 0.32______________


14) 73 ________________ ____________________________________________________________________________________ 15) 74 ________________ ____________________________________________________________________________________

16) Describe the location on a coordinate plane for the following points.

a) A(3, 2) __________ g) G(0, 0) ____________ b) B(0, -4) __________ h) H(0, 7) ____________

c) C(-5, 3) __________ i) I(-8, -3) ____________

d) D(-3, -2) __________ j) J(8, 3) ____________

e) E(7, -1) ____________ k) K(-9, 0) ____________

f) F(3, 0) ____________ l) L(-4, 6) ____________ Plot and label the points on the coordinate grid.


Domain: {-4, -3, 0, 2, 3 } Plot the points and sketch the graph. List the Range: ____________________________

12) CLIMATE In Las Vegas, Nevada, the skies are clear on 90% of the days. How many days in the month of June would you expect the skies to be clear in Las Vegas? Round the answer to the nearest day.

13) POLLING A recent poll shows that 60% of adults are in favor of increased funding for education. The number of adults surveyed for the poll was 150. How many of the adults surveyed were in favor of increased funding for education?

Linear Relationships UNIT 3 Warm-Up D

(3-D)


Daily Graph

Percent Application

Factoring


x Show your work: y


1) 500______________ 2) 70______________ 3) 36______________ 4) 574______________ 5) 26.5______________

6) 900______________ 7) 360______________ 8)13.8______________ 9) 128______________ 10) 0.41______________


14) 75 ________________ ____________________________________________________________________________________ 15) 76 ________________ ____________________________________________________________________________________

Write the coordinate for each point, then describe the location.

a) A ________ ____________ h) H _________ ____________

b) B ________ ____________ i) I ________ ____________

c) C ________ ____________ j) J ________ ____________

d) D ________ ____________ k) K ________ ____________

e) E ________ ____________ l) L _________ ____________

f) F ________ ____________ m) M ________ ____________

g) G ________ ____________ n) N ________ ____________


– Domain: {-2, -1, 0, 2, 3} Plot the points and sketch the graph. List the Range: ____________________________

12) FISH POPULATION Fish and game managers have determined that 10% of the approximately 3,400 fish in Avondale Lake are catfish. How many catfish are there in Avondale Lake?

13) AIR TRAVEL At one large international airport in the U.S., 20% of the arriving flights are from other countries. On a recent day, 240 flights arrived at the airport. How many of these flights were from other countries?

Linear Relationships UNIT 3 Warm-Up E

(3-E)


Daily Graph

Percent Application; Sales and Discount

Factoring


x Show your work: y

Find 5% of each of the following numbers. (Find 10% and then divide by 2.)

1) 600______________ 2) 50______________ 3) 46______________ 4) 284______________ 5) 26.6______________

6) 900______________ 7) 150______________ 8)12.8______________ 9) 846______________ 10) 0.32______________


14) 77 ________________ ____________________________________________________________________________________ 15) 78 ________________ ____________________________________________________________________________________

16) Look at the equation below. If , what is the value of ? A. 6 B. 9 C. 12 D. 15

17) Which value for x makes the number sentence true? 9 A. 3 B. 6 C. 9 D. 27

18) The pairs of phrases to the right represent

different relationships. Each phrase in the pair is

related to the other. Identify the independent (I) and

dependent (D) variable for each pair item by placing

an “I” or a “D” in the space provided

a) _________ Total cost of candy

_________ Number of pieces of candy

b) _________ Perimeter of a square

_________ Side length of a square

c) _________ Total cost of an item

_________ Change from a ten dollar bill

d) _________ Total calories

_________ Number of slices of cake



12) In a boutique, a $14 scarf is marked, "20% off." What is the discount on the scarf? What is the sales price? Discount: _________ Sale Price: _________

13) A $80 shirt is marked, "Get 25% off." What is the discount? What is the sale price of the shirt? Discount: _________ Sale Price: _________

Linear Relationships UNIT 3 Warm-Up F

(3-F)


Daily Graph


Factoring


x Show your work: y


1) 90______________ 2) 8000______________ 3) 50______________ 4) 246______________ 5) 22.2______________

6) 640______________ 7) 700______________ 8)22.8______________ 9) 340______________ 10) 0.48______________


14) 79 ________________ ____________________________________________________________________________________ 15) 80 ________________ ____________________________________________________________________________________

16) Simplify.

a) b) –

17) Simplify.

a) ____ b) ____ c) – ____

d) 9 _____ e) 9 ____ f) – 9 ____

18) Identify whether the situation would be continuous C or discrete D by placing a “C” or a “D” in the space

provided.

a) _______ The amount of rainfall during a one month period

b) _______ The total number of plays during four football games

c) _______ Your test grades for the nine weeks

d) _______ The temperature during the day at Beaumont

e) _______ The height of a candle after it has been lit


– Domain: {-3, -1, 0, 1, 3} Plot the points and sketch the graph. List the Range: ____________________________

13) In an electronics store, a $90 iPod is labeled, "Save 20%." What is the discount of the iPod? What is the sale price of the iPod? Discount: _________ Sale Price: _________

12) Our meal was $39.50 but we got 20% off because it came late. What did we save? What did our meal end up costing us? Discount: _________ Sale Price: _________

Linear Relationships UNIT 3 Warm-Up G

(3-G)


Daily Graph


Factoring


x Show your work: y

Find 15% of each of the following numbers. (Find 10%,then divide by 2 to find 5%, and then add 10%.)

1) 600______________ 2) 50______________ 3) 46______________ 4) 280______________ 5) 22.2______________

6) 900______________ 7) 150______________ 8)20______________ 9) 70______________ 10) 500______________


14) 81 ________________ ____________________________________________________________________________________ 15) 82 ________________ ____________________________________________________________________________________

16) Graph the function.

17) Graph the function.


Domain: {-4, -2, 0, 2, 4}

Plot the points and sketch the graph. List the Range: ____________________________

12) In a bicycle store, a $500 bicycle is marked, "Get a 30% discount." What is the discount? What is the sale price of the bicycle? Discount: _________ Sale Price: _________

13) The $3.50 chocolate bar I purchased was on sale for 20% off, what did I pay for it? How much did I save? Discount: _________ Sale Price: _________

Linear Relationships UNIT 3 Warm-Up H

(3-H)


Daily Graph


Factoring


x Show your work: y


1) 800______________ 2) 30______________ 3) 24______________ 4) 820______________ 5) 44______________

6) 1200______________ 7) 130______________ 8)60______________ 9) 90______________ 10) 700______________


14) 83 ________________ ____________________________________________________________________________________ 15) 84 ________________ ____________________________________________________________________________________

16) Graph the function. 17) Graph the function.


Domain: {-4, -2, 0, 2, 4}

Plot the points and sketch the graph. List the Range: ____________________________

13) My cell phone cost me $150.00 to fix but the repair guy gave me 40% off so it only cost me about? Approximately how much did I save? Discount: _________ Sale Price: _________

12) In an electronics store, a $75 iPod is labeled, "Save 15%." What is the discount of the iPod? What is the sale price of the iPod? Discount: _________ Sale Price: _________

Linear Relationships UNIT 3 Warm-Up I

(3-I)


Daily Graph Percent Application; Mark-up and Sales Tax

Factoring


x Show your work: y

Find 1% of each of the following numbers. (Move the decimal 2 places to the left.)

1) 600______________ 2) 50______________ 3) 36______________ 4) 574______________ 5) 26.5______________

6) 900______________ 7) 270______________ 8)13.8______________ 9) 246______________ 10) 0.36______________


14) 85 ________________ ____________________________________________________________________________________ 15) 86 ________________ ____________________________________________________________________________________

16) Graph each table. Determine the pattern in the y-column. Write the input/output rule for each table.

a) b)

11) Record the domain in the table. Use the following equation to evaluate for the y-values: Domain: {-3, -2, -1, 0, 1} State the slope (rate of change): _________ State the y-intercept (where x = 0): ________

12) Calculate the amount of sales tax, 6%, on a watch with a purchase price of $40. What is the final cost? Sales Tax: _________ Final Cost: _________

13) Calculate the amount of sales tax, 5%, on a shirt with a purchase price of $26. What is the final cost? Sales Tax: _________ Final Cost: _________

Linear Relationships UNIT 3 Warm-Up J

(3-J)


Daily Graph

Percent Application; Mark-up and Sales Tax

Factoring


x Show your work:

y


1) 90______________ 2) 8000______________ 3) 53______________ 4) 246______________ 5) 55.5______________

6) 640______________ 7) 700______________ 8)22.8______________ 9) 457______________ 10) 0.49______________


14) 87 ________________ ____________________________________________________________________________________ 15) 88 ________________ ____________________________________________________________________________________

11) Record the domain in the table. Use the following equation to evaluate for the y-values: Domain: {-1, 0, 1, 2, 3} State the slope (rate of change): _________ State the y-intercept (where x = 0): ________

12) Calculate the amount of mark-up, 150%, on a helmet with an original price of $20. What is the final cost? Mark-up: _________ Final Cost: _________

13) Calculate the amount of mark-up, 200%, on a sweater with an original price of $30. What is the final cost? Mark-up: _________ Final Cost: _________

Linear Relationships UNIT 3 Warm-Up K

(3-K)


Daily Graph


Factoring


x y

-2 -6

-1 -5

0 -4

1 -3

2 -2

Find 2% of each of the following numbers. (Move the decimal 2 places to the left and then double.)

1) 600______________ 2) 50______________ 3) 36______________ 4) 574______________ 5) 26.5______________

6) 900______________ 7) 270______________ 8)13.8______________ 9) 246______________ 10) 0.36______________


14) 89 ________________ ____________________________________________________________________________________ 15) 90 ________________ ____________________________________________________________________________________

11) Use the following table to answer the following: State the slope (rate of change): _________ State the y-intercept (where x = 0): ________ Equation: ___________________

Graph the relationship.

12) Calculate the amount of sales tax, 6%, on a pen with a purchase price of $10. What is the final cost? Sales Tax: _________ Final Cost: _________

13) Calculate the amount of mark-up, 120%, on a pair of shoes with an original price of $50. What is the final cost? Mark-up: _________ Final Cost: _________

Linear Relationships UNIT 3 Warm-Up L

(3-L)


Daily Graph


Factoring


x y

-2 5

-1 3

0 1

1 -1

2 -3


1) 90______________ 2) 8000______________ 3) 53______________ 4) 246______________ 5) 55.5______________

6) 640______________ 7) 700______________ 8)22.8______________ 9) 457______________ 10) 0.49______________


14) 91 ________________ ____________________________________________________________________________________ 15) 92 ________________ ____________________________________________________________________________________

16) Graph each table (Some points may be off the grid, just don't plot them. State the rate, the starting point. and write the equation of the line. a) b)



12) Calculate the amount of sales tax, 8%, on a DVD with a purchase price of $20. What is the final cost? Sales Tax: _________ Final Cost: _________

13) Calculate the amount of mark-up, 150%, on a chair with an original price of $300. What is the final cost? Mark-up: _________ Final Cost: _________

Linear Relationships UNIT 3 Warm-Up M

(3-M)


Daily Graph

Percent Application; Percent of Increase/Decrease

Factoring


x y

-2 -6

-1 -4

0 -2

1 0

2 2


1) $50______________ 2) $20______________ 3) $5______________ 4) $2______________ 5) $500______________

6) $200______________ 7) $800______________ 8)$80______________ 9) $8______________ 10) $0.80______________


14) 93 ________________ ____________________________________________________________________________________ 15) 94 ________________ ____________________________________________________________________________________

16) For each linear function, identify the slope and y-intercept.

a) b) – c) – d) 4) –

e) f)



12) Note: To calculate percent of increase or decrease….

Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Population : From 100 two years ago to 120 presently

13) Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Population : From 120 two years ago to 100 presently

slope: ______________ y-intercept: __________






Linear Relationships UNIT 3 Warm-Up N

(3-N)


Daily Graph


Factoring


x y

-2

-1

0

1

2


1) $10______________ 2) $60______________ 3) $1______________ 4) $6______________ 5) $100______________

6) $600______________ 7) $500______________ 8)$50______________ 9) $5______________ 10) $0.50______________


14) 95 ________________ ____________________________________________________________________________________ 15) 96 ________________ ____________________________________________________________________________________

11) Use the following graph to complete the table and answer the following: State the slope (rate of change): _________ State the y-intercept (where x = 0): ________ Equation: ___________________

12) Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Grade : From 80% at mid-term to 90% at end of term.

13) Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Grade : From 90% at mid-term to 80% at end of term.

D)

Linear Relationships UNIT 3 Warm-Up O

(3-O)


Daily Graph


Factoring


x y

-2

-1

0

1

2

Calculate the following. (Hint: Think of the fraction equivalencies to the percents.)

1) 50% of 30__________ 2) 25% of 80__________ 3) 20% of 25_________ 4) 33

% of 66__________ 5) 5% of 100__________

6) 50% of 48__________ 7) 25% of 16__________ 8) 20% of 50_________ 9) 33

% of 93__________ 10) 5% of 40__________


14) 97 ________________ ____________________________________________________________________________________ 15) 98 ________________ ____________________________________________________________________________________


12) Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Cost: $200 before Christmas and $180 after.

13) Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Cost: $180 before Christmas and $200 after.

Linear Relationships UNIT 3 Warm-Up P

(3-P)


Daily Graph


Factoring


x y

-4

-2

0

2

4

Calculate the following.

1) 50% of 40__________ 2) 25% of 160__________ 3) 20% of 35_________ 4) 33

% of 300________ 5) 5% of 200__________

6) 50% of 32__________ 7) 25% of 60__________ 8) 20% of 250_________ 9) 33

% of 27__________ 10) 5% of 80__________


14) 99 ________________ ____________________________________________________________________________________ 15) 100 ________________ ____________________________________________________________________________________

16) Make a sketch of stair-steps using the given steepness. The steepness ratio is the vertical change (rise)

compared to horizontal change (run).

Start your stair-steps at the star that is already located on the grids below.


12) Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Population: Number of fish in the lake was 3,000 last year and 2,000 this year.

12) Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Population: Number of fish in the lake was 2,000 last year and 3,000 this year.

Linear Relationships UNIT 3 Warm-Up Q

(3-Q)


Daily Graph

Percent Application; Simple Interest

Factoring


x Show your work: y

-8

-4

0

4

8

Calculate the following.

1) 50% of 70__________ 2) 25% of 28__________ 3) 20% of 25_________ 4) 33

% of 99________ 5) 5% of 60__________

6) 50% of 700__________ 7) 25% of 280__________ 8) 20% of 250_________ 9) 33

% of 999_________10) 5% of 600________


14) 101 ________________ ____________________________________________________________________________________ 15) 102 ________________ ____________________________________________________________________________________

16) For each linear function, identify the slope (m) and y-intercept (b).

a) b) c) d)

m = ______; b = ______ m = ______; b = ______ m = ______; b = ______ m = ______; b = ______

11) Use the following equation to complete the table and graph. Answer the following: State the slope, m:_________ State the y-intercept, b:________

Equation:

12) Note: Simple interest is the amount of money paid or earned for the use of money. To find simple interest I, use the formula . Principal, p, is the amount of money deposited or invested. Rate, r, is the annual interest rate written as a decimal. Time, t, is the amount of time the money is invested in years. If $100 is invested for 5 years at 1.5%, indicate the values: p: ____________, r: ____________, t: ____________

13) If $100 is invested for 6 years at 2%, indicate the values: p: ____________, r: ____________, t: ____________ Calculate the interest. ______________

17) Complete each table. For each table, identify the slope (m), y-intercept (b), and write the equation.

a) m = ______; b = ______ b) m = ______; b = ______

Equation: ___________________ Equation: ___________________

Linear Relationships UNIT 3 Warm-Up R

(3-R)


Daily Graph


Factoring


x Show your work: y

-8

-4

0

4

8

Calculate the following using the easiest method.

1) 10% of 400__________ 2) 20% of 400__________ 3) 5% of 400_________ 4) 15% of 400________ 5) 1% of 400__________

6) 10% of 32__________ 7) 20% of 32__________ 8) 5% of 32_________ 9) 15% of 32__________ 10) 1% of 32__________


14) 103 ________________ ____________________________________________________________________________________ 15) 104 ________________ ____________________________________________________________________________________

17) Complete each table. For each table, identify the slope (m), y-intercept (b), and write the equation.

a) m = ______; b = ______ b) m = ______; b = ______

Equation: ___________________ Equation: ___________________


Equation:



16) For each linear function, identify the slope (m) and y-intercept (b).

a) b) c) d)

m = ______; b = ______ m = ______; b = ______ m = ______; b = ______ m = ______; b = ______

Linear Relationships UNIT 3 Warm-Up S

(3-S)


Daily Graph


Factoring


x Show your work: y

-4

-2

0

2

4


1) 10% of 600__________ 2) 20% of 600__________ 3) 5% of 600_________ 4) 15% of 600________ 5) 1% of 600__________

6) 10% of 20__________ 7) 20% of 20__________ 8) 5% of 20_________ 9) 15% of 20__________ 10) 1% of 20__________

Find the prime factors, and then write all factor pairs for each number. factorization factor pairs

14) 105 ________________ ____________________________________________________________________________________ 15) 106 ________________ ____________________________________________________________________________________

16) Instructions:

On the graph, mark two

“convenient points” on the

grid.

Make a “stair-step” to help

determine the slope.

Extend the line to find the

y-intercept, if necessary.

Use the slope and y-

intercept to write the

equation for each graph.

Create a table of values for

each relationship.


Equation:


12) If $2000 is invested for 10 years at 1.5%, indicate the values: p: ____________, r: ____________, t: ____________ Calculate the interest. ______________

m = __________ b = __________ Equation: _____________________

Table HINT:

Start recording points

from left to right on the

graphed line!

Linear Relationships UNIT 3 Warm-Up T

(3-T)


Daily Graph


Factoring


x Show your work: y

-6

-3

0

3

6


1) 10% of 900__________ 2) 20% of 900__________ 3) 5% of 900_________ 4) 15% of 900________ 5) 1% of 900__________

6) 10% of 25__________ 7) 20% of 25__________ 8) 5% of 25_________ 9) 15% of 25__________ 10) 1% of 25__________


14) 107 ________________ ____________________________________________________________________________________ 15) 108 ________________ ____________________________________________________________________________________


Equation:

12) If $500 is invested at 2% and earns $60, indicate the values: p: ____________, r: ____________, i: ____________ Calculate the time. ______________

13) If $200 is invested for 3 years and earns $6, indicate the values: p: ____________, t: ____________, i: ____________ Calculate the interest rate. ______________

16) Instructions:



grid.









each relationship.

Table HINT:

Start recording points

from left to right on the

graphed line!

m = __________ b = __________ Equation: _____________________

Linear Relationships UNIT 3 Warm-Up U

(3-U)


Daily Graph

Percent Application, Review

Factoring


x Show your work: y

-6

-3

0

3

6


1) 10% of 1000__________ 2) 20% of 1000__________ 3) 5% of 1000_________ 4) 15% of 1000_______5)1% of 1000__________

6) 10% of 40__________ 7) 20% of 40__________ 8) 5% of 40_________ 9) 15% of 40__________ 10) 1% of 40__________


14) 109 ________________ ____________________________________________________________________________________ 15) 110 ________________ ____________________________________________________________________________________


Equation:

12) ) In a gift shop, a $16 decorative box is marked, "20% off." What is the discount on the box? What is the sales price? Discount: _________ Sale Price: _________

13) Calculate the amount of sales tax, 6%, on a TV with a purchase price of $700. What is the final cost? Sales Tax: _________ Final Cost: _________

16) Instructions:



grid.









each relationship.

m = __________ b = __________ Equation: _____________________

Linear Relationships UNIT 3 Warm-Up V

(3-V)


Daily Graph

Percent Application; Review

Factoring


x Show your work: y

-6

-3

0

3

6


1) 10% of 2500__________ 2) 20% of 2500__________ 3) 5% of 2500_________ 4) 15% of 2500________5) 1% of 2500_________

6) 10% of 30__________ 7) 20% of 30__________ 8) 5% of 30_________ 9) 15% of 30__________ 10) 1% of 30__________


14) 111 ________________ ____________________________________________________________________________________ 15) 112 ________________ ____________________________________________________________________________________

16) Multiple Choice: If a line passes through the two

points in the graph below then the equation of the line

containing those points is

A

B –

C –

D –

17) Multiple Choice: If a line contains the points in the

table below, then the equation of the line is

A

B –

C –

D –


Equation:

12) Calculate the amount of mark-up, 150%, on a coat with an original price of $60. What is the final cost? Mark-up: _________ Final Cost: _________

13) Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Population : From 100 two years ago to 180 presently

x show your y - ms. fergusonfergusonmathbms.weebly.com/uploads/5/4/1/1/...linear relationships unit...

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