CommonCoreDailyWarmUpsthGrademissfrantz.weebly.com/uploads/2/2/5/0/22500778/math_lab... · 2019-08-13 · Name___"Date _ Pd __ 14 "1. Mr. Jones’ class collected tissue boxes

1. Death Valley, CA is 282 feet below sea level. Black Mountain, KY is 750 feet above seal level. How many more feet above sea level is Black Mountain than Death Valley?

2. Solve: a.  -32 + 17 =

b.  86 + (-27) =

c.  -12 + (-37) =

d. 

3.  Label the number line with the appropriate equation.

4. Use the number line to solve the problem below:

Name__________________________________"Date ______________________ Pd ____ 1"

Name__________________________________"Date ______________________ Pd ____ 2"

−4+ 6 = 2

0 1 2 3 4 5−1−2−3−4−5

0 1 2 3 4 5−1−2−3−4−5

−1

6+

5

6=

1.  A credit card customer owes $523.85. They are only able to make a payment of $184.50. How much money does the customer still owe?

2. . Solve: a.  -108 � 23 =

b.  49 � (-62) =

c.  -9.5 � 2.5 =

d. 

3.  Label the number line with the appropriate equation.

4. Use the number line to solve the problem below:

−1− 4 = −5

0 1 2 3 4 5−1−2−3−4−5

0 1 2 3 4 5−1−2−3−4−5

2

5−

4

5=

1. Solve: a.  -7(-9)=

b.  -5(15)=

c.  3.3(-6)=

d. 

2. Solve: a. 

b. 

c. 

d. 

3.  Caleb and Sarah are having a Halloween

party. They have pounds of candy to divide

into 16 goodie bags. How much candy will be in

each bag?

4. At the grocery store, almonds are on sale for $3.79 per pound. What is the price of 4.5 pounds?

Name__________________________________"Date ______________________ Pd ____ 3"

Name__________________________________"Date ______________________ Pd ____ 4 "

−3

5•2

9= −

2

3÷

5

6=

140÷ −7 =

192÷ −12 =

−36÷ −4 =

62

5

1.  Combine like terms:

a. b.

2. Simplify:

a.

3.  Factor:

a. 

4.  Write an expression to find the perimeter of the rectangle below.

7a + 7b −13a −11b

−5a −12a + 2b − 3b

−5(4x )+ 6(3x − 2)

24a + 72b − 40c6x

3x − 5

Name__________________________________"Date ______________________ Pd ____ 5 "

Name__________________________________"Date ______________________ Pd ____ 6 "

1.  The average third grade student can read

80 words in 5 minutes. What is the average

reading rate per minute? a.  Write an expression to represent the problem:

b.  Solve the problem:

2.  If a car travels at a rate of 74 miles per hour, how long will it take the car to travel 481 miles?

1. A new product price is increased from $7 to $11. What is the percent of change?

3.  Use the table below to answer the questions:

a.  Is this a proportional relationship?

b.  What is the constant of proportionality?

2.  A cup of coffee costs $2.50. If the total cost is $22.50, how many cups of coffee were purchased? a.  Write an equation: b. What is the constant of proportionality?

x y

-2 6

1 -3

2 -6

Name__________________________________"Date ______________________ Pd ____ 7 "

Name__________________________________"Date ______________________ Pd ____ 8 "

1.  A local clothing shop is marking down all of its summer clothes by 75%. Sarah would like to

purchase a swimsuit that is originally priced at $80. When she gets to the register, she signs up for

a loyalty card that saves her an additional 10%. How much did she spend on the swimsuit and what

total percent did she receive off?

a.  Find the markdown price of the swimsuit

b.  Then, find the markdown of the loyalty card

c.  Subtract to find the final price

1.  Solve for x:

2.  Solve for x:

3.  Solve for x: 4.  Solve for x:

−4x −18 = 22 1.5x − 6 = 7.5

−11x + 32.5 < 823

4x −

3

4≥ −6

Name__________________________________"Date ______________________ Pd ____ 9 "

Name__________________________________"Date ______________________ Pd ____ 10 "

1.  Write an equation and solve.

Two different companies offer online gaming subscriptions. Company A charges $75 upfront and then $20 per month. Company B does not charge an upfront fee but charges $35 per month. After how many months will the two companies charge the same amount?

2.  Write an inequality and solve.

The set up fee for a photo book is $15. The paper is an additional charge of $0.17 per page. What is the greatest number of pages that a book can have if the total bill is to be less than $40?

1. An triangle is shown below. If the image is dilated by a scale factor of 3.5, what is the perimeter of the new triangle?

2.  Mr. Jackson is going to place a layer of mulch in his garden. His blueprint shows the garden below: If the blueprint has a scale factor of 1cm:2.5 feet, how many square feet of mulch does Mr. Jackson need?

4m

3m

5m

5cm

3cm

7cm

Name__________________________________"Date ______________________ Pd ____ 11 "

Name__________________________________"Date ______________________ Pd ____ 12 "

1.  The area of a circle is 11.6 square centimeters. What is the diameter? Use 3.1 for π.

2.  Find the missing angle.

3.  Find the area of the shaded region. Use 3.1 for π.

4.  Triangle ABC is right isosceles triangle. What are the measures of the three angles?

5m

10m

62oxo37o

1. Find the area of the shape below:

3.  Find the area of the shape below. Break the larger shape into smaller pieces if needed.

2. Marie is redecorating her bedroom and decides to paint 3 of the walls. Each of the walls measure 12 feet by 10 feet. If a quart of paint will cover 90 square feet, how many quarts does she need?

4.7in

6.2in

12in

Name__________________________________"Date ______________________ Pd ____ 13"

Name__________________________________"Date ______________________ Pd ____ 14 "

1.  Mr. Jones’ class collected tissue boxes. The class brought in a total of 30 boxes. If the tissue box dimensions are listed below, how much space will Mr. Jones need?

2.  A refrigerator box measures 11 feet by 6 feet by 6 feet. Sam decides to fill the box up three-fourths with trash. How much space will the trash take up? (draw a picture to help)

7inches3inches

4inches

1.  A television broadcasting company would like to produce a new comedy show. They would like the show to target young families and teens. Provide a suggestion for them to poll their potential viewers that would be unbiased.

2. Below is data collected in two random samples regarding student sport preference. Make two inferences based on the information.

Sport Volleyball Soccer Football

Votes 24 18 58

Name__________________________________"Date ______________________ Pd ____ 15 "

Name__________________________________"Date ______________________ Pd ____ 16 "

1.  Mr. Berkley took a poll of his 30 students. He asked their hourly pay rate. Create a box and whisker plot. Which group of students had the higher hourly par rate? Do seniors make more money?

Seniors 10, 9.50, 8, 11, 12, 10

Sophomores 7.50, 8, 10, 7.50, 8, 8

1. In a closet, there are 4 different colored tops: red, green, purple, and black. There are also shorts, jeans, and a skirt. If a top and bottom is chosen, make a list, table, or draw a tree diagram to represent the sample space.

2.  Nicole played an hand held game. There were 15 questions, of which she answered 8 incorrectly. At this rate, how many questions should Nicole expect to answer correctly if she answers a total of 135 questions?

3. In a deck of playing cards, what is the probability of drawing a red card, replacing it, and then drawing an queen?

Warm Ups 17-56

8th Grade Aligned

Warm Up Number

CCSS

17-20 8.NS.A.1 � convert repeating decimals to a rational number 8.NS.A.2 � approximate irrational numbers

21-24 8.EE.A.1 � apply properties of integer expressions 8.EE.A.3 � express numbers in scientific notation

25-28 8.EE.A.1 � apply properties of integer expressions 8.EE.A.2 � use square roots and cube roots 8.EE.A.4 � perform operations with scientific notation

29-32 8.EE.B.5 � interpret slope, graph linear equations, compare proportional relationships 8.EE.B.6 � use similar triangles to explain slope

33-36 8.EE.C.7a � give examples of linear equations w/ one solution, no solution, or infinitely many solutions 8.EE.C.7b � solve linear equations

37-40 8.EE.C.7b � solve and graph linear equations

41-44 8.EE.C.8a � understand solutions to a system of linear equations 8.EE.C.8b � solve systems of linear equations 8.EE.C.8c � solve real world system of equations

45-48 8.EE.C.8a � understand solutions to a system of linear equations 8.EE.C.8b � solve systems of linear equations 8.EE.C.8c � solve real world system of equations

49-52 Spiral all EE concepts

53-56 8.F.A.1 � understand and interpret functions

57-60 8.F.A.2 � compare properties of two functions 8.F.A.3 � interpret an equation in slope-intercept form

Warm Ups 57-100

8th Grade Aligned Warm Up Number

CCSS

61-64 8.F.B.4 � construct a function to model linear relationships 8.F.B.5 � describe functional relationships by analyzing a graph

65-68 8.F.B.4 � construct a function to model linear relationships 8.F.B.5 � describe functional relationships by analyzing a graph

69-72 8.G.A.2 � understand how a 2d figure is congruent to another using reflections, rotations, and translations 8.G.A.3 � describe the effect of dilations, translations, rotations, and reflections

73-76 8.G.A.4 � understand how a 2d figure is similar to another using reflections, rotations, and translations 8.G.A.5 � understand angles

77-80 8.G.B.6 � prove the Pythagorean Theorem 8.G.B.7 � apply the Pythagorean Theorem

81-84 8.G.B.7 � apply the Pythagorean Theorem 8.G.B.8 � use the Pythagorean Theorem to find the distance on a coordinate plane

85-88 8.G.B.9 � find the volume of cones, cylinders, & spheres

89-92 Spiral all G concepts

93-96 8.SP.A.1 � construct and interpret scatter plots 8.SP.A.2 � use a line of best fit

97-100 8.SP.A.3 � interpret the slope to solve problems 8.SP.A.4 � construct and interpret two-way tables summarizing data

1.  Change to a fraction: 2. Change to a fraction:

3. Approximate which two integers is between.

4. Place in the appropriate place on the number line.

Name__________________________________"Date ______________________ Pd ____ 17"

Name__________________________________"Date ______________________ Pd ____ 18 "

1.5 1.6 1.7 1.8 1.9 21.41.31.21.11

0.4 0.27

30 2




1.5 1.6 1.7 1.8 1.9 21.41.31.21.11

0.3 0.16

160 3




Name__________________________________"Date ______________________ Pd ____ 19"

Name__________________________________"Date ______________________ Pd ____ 20 "

5.5 5.6 5.7 5.8 5.9 65.45.35.25.15

0.1 0.8

210 34




3.5 3.6 3.7 3.8 3.9 43.43.33.23.13

0.6 0.27

354 11

1.  Write in scientific notation: 2. Write in standard form:

3.  Simplify: a. b.

4.  Simplify:

a. b.

Name__________________________________"Date ______________________ Pd ____ 21"

Name__________________________________"Date ______________________ Pd ____ 22 "

76,300,000

24

26

6.2x10−5

33

25

4−2

4−3

(32 )(34 )



4.  Simplify:

a. b.

0.000057

52

50

3.12x106

6−1

6−3

(22 )(24 )(32 )3



4.  Simplify:

a. b.

Name__________________________________"Date ______________________ Pd ____ 23"

Name__________________________________"Date ______________________ Pd ____ 24 "

108,000

71

7−3

3.95x109

3−5

3−3

(42 )2



4.  Simplify:

a. b.

0.000000207

121

8.2x10−7

52

5−2

(81 )(83 )(−22 )3

(62 )(6−4 )

1.  Simplify:

a. b.

2. Solve: a.


4.  Simplify:

a. b.

Name__________________________________"Date ______________________ Pd ____ 25"

Name__________________________________"Date ______________________ Pd ____ 26 "

112

7−1

73

(3.1x103 )(1.8x105 )

7−3

3−2

(52 )3(82 )(8−3 )

4

25

1.  Simplify:

a. b.

2. Solve: a.


4.  Simplify:

a. b.

x2 =196

(45 )2

(43 )(46 )7−2

70

(32 )4

(30 )(33 )(63 )(6−4 )

1

643

(4.7x103 )(1.1x106 )

1.  Simplify:

a. b.

2. Solve: a.


4.  Simplify:

a. b.

Name__________________________________"Date ______________________ Pd ____ 27"

Name__________________________________"Date ______________________ Pd ____ 28 "

x2 = 225

(71 )3

(73 )(7−2 )

9.0x107

2.4x102

40

4−2

(52 )−2(54 )(5−7 )

16

100

1.  Simplify:

a. b.

2. Solve: a.


4.  Simplify:

a. b.

x2 =4

9

(45 )2

(42 )(44 )45

4−2

(53 )1(63 )(60 )

125

5123

6.4x102

1.7x105

1. Use the graph to answer the question below: What is the rate/slope?

2.  Use the equation to answer the questions below:

x is the time in hours

y is the number of miles

What is the rate/slope?

3. Compare the rate in the graph and the equation, describe your thinking.

Name__________________________________"Date ______________________ Pd ____ 29 "

Name__________________________________"Date ______________________ Pd ____ 30 "

y = 65x

time (hours)

dis

tance (

mile

s)

1 2 3 4 5 9 8 7 6 10

20

40

140

120

100

80

60

160

180

200

""

""

""

""

1. Use the graph to answer the questions: a.  m= b. y-intercept=

c. equation:

2.  Use the graph to answer the questions:

a.  m= b. y-intercept=

c. equation:

1. Use the graph to answer the questions: a.  m= b. y-intercept=

c. equation:

2.  Use the graph to answer the questions:

a.  m= b. y-intercept=

c. equation:

Name__________________________________"Date ______________________ Pd ____ 31 "

Name__________________________________"Date ______________________ Pd ____ 32 "



x is the gallons of gasoline y is the number of miles



gasoline (gallons)

dis

tance (

mile

s)

1 2 3 4 5 9 8 7 6 10

20

40

140

120

100

80

60

160

180

200

""

""

""

""

y =17x

Name__________________________________"Date ______________________ Pd ____ 33"

Name__________________________________"Date ______________________ Pd ____ 34 "

1.  Solve, then answer the questions below. a. b.  How many solutions does this equation have?

2. Solve, then answer the questions below.

a. b.  How many solutions does this equation have?

6x − 8 = −4x −12 −3x −15 = −11− 3x − 4



a. half a number plus eight is fourteen minus a number b.  How many solutions does this equation have?

1.5x + 9 = 4x − 6

Name__________________________________"Date ______________________ Pd ____ 35"

Name__________________________________"Date ______________________ Pd ____ 36 "




−2x + 9− 3x = −5x + 3 3.7+ 2.5x = 4.5x −12.3



a. two times a number minus six is eight less than twice a number b.  How many solutions does this equation have?

4x −18 = x −18+ 3x

Name__________________________________"Date ______________________ Pd ____ 37"

Name__________________________________"Date ______________________ Pd ____ 38 "




−x + 9− 4x = −5(x + 2) 1

2(8x − 20) =

1

4(12x + 32)



a. four more than a number is fourteen less than three times the number b.  How many solutions does this equation have?

−6(x −1

2) = 3x + 3− 9x

Name__________________________________"Date ______________________ Pd ____ 39"

Name__________________________________"Date ______________________ Pd ____ 40 "




4x − 8 = 6x + 31

3(−6x − 9) = −3x −15− 2x



a. twice a number minus seven is eight greater than three times a number b.  How many solutions does this equation have?

−3x −11− 4x = −3

4(8+16x )

1.  Sally and her younger sister keep track of their savings accounts. Use the table below to create a graph of these two accounts. a.  What does x represent?

b.  What does y represent?

c.  After how many weeks will they have the same amount in their savings account?

Name__________________________________"Date ______________________ Pd ____ 41 "

Name__________________________________"Date ______________________ Pd ____ 42 "

Weeks Sally Sister

0 $4 $1

1 $7 $5

2 $10 $9

3 $13 $13

1.  Amanda is comparing the heights of plants using two different fertilizers. Use the graph below to write an equation for each plant.

a. What does x represent? b. What does y represent?

c. Write an equation to represent plant A. d. Write an equation to represent plant B.

e. After how many weeks will the plants be the same height?

weeks

heig

ht

(inches)

1 2 3 4 5 9 8 7 6 10

2

4

14

12

10

8

6

16

18

20

"" ""

""

""""

""

A B

1.  Bethany has $120 in her savings account and spends $8 a week at the candy store. Johnny has $75 in his savings account and spends $3 a week at the candy store. a.  Create a table to represent Bethany and Johnny’s spending account.

b.  After how many weeks will Bethany and Johnny have the same amount in their savings account?

Name__________________________________"Date ______________________ Pd ____ 43"

Name__________________________________"Date ______________________ Pd ____ 44 "1.  Use the two equations below to explain if the solutions could be true or not.

2. Sales in January were one-forth that of November’s sales. The total sales were $250. How much were the sales in January?

3x + 2y = 5

2y + 3x = 6

1.  A+ Cellular offers a data plan that charges $2.50 per gig-a-byte plus $9 fee. Thrifty Talk offers a data plan that charges $4 per gig-a-byte and no monthly fee. Use the table below to create a graph of these two accounts. a.  What does x represent?

b.  What does y represent?

c.  After how many weeks will they have the same amount in their savings account?

Name__________________________________"Date ______________________ Pd ____ 45 "

Name__________________________________"Date ______________________ Pd ____ 46 "

GB A+ Cellular

Thrifty Talk

0 $9.00 $0.00

1 $11.50 $4.00

2 $14.00 $8.00

3 $16.50 $12.00

4 $19.00 $16.00

minutes

pages

1 2 3 4 5 9 8 7 6 10

2

4

14

12

10

8

6

16

18

20

"" ""

""

""""

""

L

J

1.  Jake and Lucy are reading the same book in class. Use the graph below to write an equation for each student. a. What does x represent? b. What does y represent?

c. Write an equation to represent Lucy. d. Write an equation to represent Jake.

e. After how many minutes will Jake and Lucy be on the same page?

1.  A large pizza at Yum Yum Pizza is $6.40 plus $0.80 per topping. At Perfect Pizza’s a large pizza costs $7.90 plus $0.50 per topping. a.  Create a table to represent the cost of pizzas at Yum Yum and Perfect Pizza.

b.  After how many toppings will the two pizza’s cost the same amount?

Name__________________________________"Date ______________________ Pd ____ 47"

Name__________________________________"Date ______________________ Pd ____ 48 "1.  Use the two equations below to explain if the solutions could be true or not.

2. Two numbers have a sum of fourteen. The larger number is twice the smaller number plus two. What are the two numbers?

−5y + 8x =18

8x − 5y =18

1.  Simplify:

a. b.

2. Solve: a.


4.  Simplify:

a. b.

Name__________________________________"Date ______________________ Pd ____ 49"

Name__________________________________"Date ______________________ Pd ____ 50 "

x2 = 441

(72 )−2

(73 )(7−1 )

8.0x107

3.2x102

41

4−3

(p8 )−3(x 4 )(x−9 )

49

144



x is the time in hours

y is the number of miles



y =16x

time (hours)

dis

tance (

mile

s)

1 2 3 4 5 9 8 7 6 10

20

40

140

120

100

80

60

160

180

200

""

""

Name__________________________________"Date ______________________ Pd ____ 51"

Name__________________________________"Date ______________________ Pd ____ 52 "




−x + 3− 3x = −6x +151

4(2x −16) = x − 24

1.  Two different phone service plans are shown below. B represents Best Cell and P represents Price is Right Cell. Use the graph below to write an equation for each cell phone plan. a. What does x represent? b. What does y represent?

c. Write an equation to represent plan B. d. Write an equation to represent plan P..

e. After how many gigs will the two plans have the same cost?

gigs of data

cost

1 2 3 4 5 9 8 7 6 10

2

4

14

12

10

8

6

16

18

20

"" ""

""

""""""

P

B

""""

1. Use the graph below to determine whether or not the relation is a function. a.  Function or Not a Function

b.  How did you know?

2. Use the table below to determine whether or not the relation is a function. a.  Function or Not a Function


Name__________________________________"Date ______________________ Pd ____ 53"

Name__________________________________"Date ______________________ Pd ____ 54 "

x y

-3 -8

-1 -2

0 1

2 7

4 13

1.  Use the equation below to determine whether or not the relation is a function. a.  Function or Not a Function


2. Use the equation below to determine whether or not the relation is a function. a.  Function or Not a Function






y = 4x −12.6

y = 2x2 − 4x +10

{(0,8),(2,8),(−3,8),(1,8),(−4,8)}

{(1,7),(1,5),(1,−1),(1,0),(1,−3)}

1. Use the graph below to determine whether or not the relation is a function. a.  Function or Not a Function


2. Use the table below to determine whether or not the relation is a function. a.  Function or Not a Function


Name__________________________________"Date ______________________ Pd ____ 55"

Name__________________________________"Date ______________________ Pd ____ 56 "

x y

-3 -5

-1 4

0 0

2 5

4 4

1.  Use the equation below to determine whether or not the relation is a function. a.  Function or Not a Function








x2 + y2 =100

y = 3x2

{(−2,8),(6,4),(−7,3),(0,4),(−4,9)}

{(−2,9),(1,5),(3,−1),(1,−5),(4,−8)}

Name__________________________________"Date ______________________ Pd ____ 57 "

Name__________________________________"Date ______________________ Pd ____ 58 "

1.  Compare the following functions:

Function 1: Function 2: Which function has the greater rate of change? How did you know?

2.  Label each function below as linear or non-linear. a. b. c. d.

y = 2(x + 5)y =1

2x + 7

1.  Compare the following functions:

Function 1: An overdue library book is charged $0.50 per day. Function 2: A school fundraiser collects $1.50 per lap on the track. Which function has a negative rate of change? How do you know?

2.  Generate two ordered pairs by substituting zero for x and y. Then, find the rate of change.

x y

-2 -7

1 -1

3 3

y = 4x2 − 6x +10

x y

0 7

1 8

2 11

4x + 3y = −12

Documents

CommonCoreDailyWarmUpsthGrademissfrantz.weebly.com/uploads/2/2/5/0/22500778/math_lab... · 2019-08-13 · Name_____"Date _____ Pd ____ 14 "1. Mr. Jones’ class collected tissue boxes

CommonCoreDailyWarmUpsthGrademissfrantz.weebly.com/uploads/2/2/5/0/22500778/math_lab... · 2019-08-13 · Name___"Date _ Pd __ 14 "1. Mr. Jones’ class collected tissue boxes