8Th Grade Warm-Ups

Mitch spends .75 a day on junk food. How many days will it take him to spend $4.50, $8.25, $10.50? How did you get your answer?

BPI Ronnie and the Rainbows raised 2/5 of their $500 fundraising goal. How much money did they raise? Show your work or explain how you found your answer.

Find the area of a square with base 6 cm.

Cantaloupe is on sale, 2 for $3.00. How much does it cost for one cantaloupe? Write a rule to find the cost for any number of cantaloupes. (CMS) Day 3

BPI Order the fractions from smallest to largest. 4/5 ½ ¾ 6/7

The Dynamo Soccer Team raised 5/6 of their $900 fundraising goal. How much money did they raise? Show your work or explain how you found your answer.

BPI Tell what fraction of a pound (16 ounces) the given weight is: a)12 ounces b)8 ounces c) 4 ounces d)24 ounces

BPI Name 5 fractions equivalent to ¾. Day 5

Find the area of the circle with diameter 6.

BPI Decide whether each fraction below is closer to 0 or ½. a)1/5 b)3/8 c) 7/12 d)3/5

BPI For each pair of fractions, decide which is larger. Explain your reasoning. a) 5/11 or 9/11 b) 2/5 or 2/3 c) ¾ or 5/8

BPI Solve the Mystery Number. 1. _ _ _ Explain how each clue helped you find the missing digits. Clue 1 The digit in the 1000th place is twice the digit in the 10th place. Clue 2 The sum of the 3 missing digits is 15. Clue 3 The digit in the 1000th place is a multiple of 8. Day 7

What is 22% of 737.49? Explain your work.

BPI For each pair of fractions, decide which is smaller. Explain your reasoning. a)7/8 or 3/8 b)3/5 or 3/7 c) 7/5 or 9/7

BPI Decide whether each statement is true or false. Explain your reasoning in words or by drawing diagrams/pictures. a) ¼ = 2/5 b) 3/5 = 6/10

Graph the equations – identify all the Y intercepts.

Y = 2X – 4 Y = 3X Y = -3X + 2 Y = -3x – 2 Day 9

BPI How many 5ths are in 1 3/5 (1 and 3/5)? Explain your answer.

BPI How many 3rds are in 2 1/3 (2 and 1/3)? Explain your answer.

BPI How many 4ths are in 3 ¼? Explain your answer.

Day 10

BPI Which of the three fractions represents the smallest part of a whole? Explain your answer. 2/7 6/11 4/9

Which of the three decimals represents the smallest part of a whole? Explain your answer.

0.7 0.65 0.238

Day 11

Check my steps, did I make a mistake?

9X + 3 = 30 3X + 2 = 8 47 = 5X + 2 -3 -3 -2 -2 2 -2 9X = 27 3X = 6 49 = 5X X = 3 X = 2 X = 10

Day 12

Write 20% of 276 as an equation and solve.

BPI Which of the three fractions represents the largest part of a whole? 2/5 9/23 36/72 Day 13

Solve for X and write your steps.

10 = X –5 56 = 4X 13 = 6X + 1

Day 14

Find X if 245 = 5X Find X if 93 = 15 =2X Find X if 271 = 5X – 4 Day 15

Use your graphing calculator to graph Y = 3X-7 and Y = -3X-7. List all of the similarities and differences between the two graphs.

Identify the parts of each equation that are responsible for the similarities and differences in the graphs. (MSA)

Day 16

Jake is a runner and runs ______a minute. Devon is a biker and bikes ______a minute. Make a table showing their distance each minute for ten minutes. Day 17

Name the slope. Y= 2X + 5 7X - 3= Y Y= 4X - 2 Y = 2 - 3X

BPI Order the fractions from smallest to largest. 2/3, 1 1/5, 1 6/8, 3/2

Day 18

Name the Y Intercept. 3X + 7=Y Y= 2X - 3 Y= 2 + 8X Y = 4X - 7

Day 19

If Jake walks ½ mile one day, 2/7 miles the next and 3/5 miles the third – how far has he walked? Is his walking rate constant?

Day 20

Graph 3X –1 and 3(X-1), describe how the two graphs differ. Day 21

Use the trace key to find Y if X = 6 for the equation Y= 2X + 15. Is there a name for this point? What line is the equation crossing at 15?

Day 22

BPI Compare the numbers using symbols for less than or greater than. a) 0.6 and 0.08 b) 0.23 and 0.3 c) 0.3000 and 0.3 Day 23

BPI 6th grade students were asked what kind of pets they have. The results of the survey are shown in the table below. Use the information to answer questions a - f.

PET BOYS GIRLS HORSE 100 25 DOG 50 75

a)What fraction of boys have dogs as pets? b)What fraction of students who have horses as pets are girls? c) What fraction of students have dogs as pets? d)What fraction of girls have horses as pets? e)What fraction of students have horses as pets? f) What fraction of students who have dogs as pets are boys?

Day 24

Fill in the missing values X 1 5 1/2 10 25 2.5 Y 3 15 75 90 7

(MSA) Day 25

If you graph a linear equation of the form y=mx+b, what are the coordinates of the y intercept?

Day 26

The graph of the Linear Equation Y= 2X+450 will not appear in the standard window on your calculator. What changes would you make in the window settings so that it would appear? Day 27

Use graph, tables or algebra to find which points are on the line Y = 3X – 7.

(3,3) (3,2) (3,1) (3,0)

How did you find your answer?

Day 28

Fill in the missing values X -1 0 1 2 3 5 10 Y 0 .5 1 20 30

Fill in the missing values X 0 1 2 3 4 5 10 Y 5 7 15 35

(MSA) Day 29

Write 14% as a decimal and a fraction in lowest terms

Find the pattern.

X -2 0 3 4 8 12 Y 0 .5 25 -10 12

Day 30

Use a graphing calculator to graph the equations – identify all the Y intercepts.

Y = 2X – 4 Y = 3X Y = -3X + 2 Y = -3x – 2 Day 31

BPI If one batch of cookies needs ¾ cup of almonds and ½ cup of raisins, how much of each ingredient would be needed for 4 batches? Show your work.

Day 32

Pedro has $15.00 in the bank – he saves $1.75 a week. Write an equation that will help you calculate how much he has saved for any number of weeks. How many weeks will it take him to save $27.25? Day 33

When graphing the following sets of variables, which would go on the x-axis and which would go on the y-axis?

a. time of day, temperature b. plant growth, amount of sunlight c. years of education, job salary (VP)

Day 34

BPI Johnny Angel and the Heartaches raised ¾ of their $700 fundraising goal. How much money did they raise? Show your work or explain how you found your answer. Day 35

HLTommy flipped a coin 50 times and tails turned up 32 times. What fraction of the 50 flips of the coin turned up tails?

List the properties that make a figure a square. (LP)

List the properties that make a figure a rectangle. (LP)

Day 36

List the properties that make a figure a right triangle. (LP)

List the properties that make a figure a parallelogram. (LP) Day 37

HL Marius flipped a coin 90 times. If the coin is fair, how many times should he expect it to come up tails?

These two triangles are similar. What is the value of n?

Day 38

Define the term vertices. (LP)

On a Coordinate Grid, graph the following vertices of a parallelogram: (-1,0) (-4,2) (3,0) . Identify the fourth vertice. (LP) Day 39

Use the table to answer the questions: TIME (hrs) TEMPERATURE 0 62 1 65 2 55 3 59 4 68 5 76

Between which hours did the temperature change the most? Between which hours did it change the least? What are the two variables? Where would each variable go on a coordinate graph? (VP)

Day 40

Make a table of length and width for a rectangle with an area of 12 square feet. Sketch a quick graph of your table. (VP) Day 41

HL J.J. flipped a coin 300 times. If the coin is fair, how many times should he expect it to come up tails? Explain your answer.

Day 42

A sporting goods store rents roller blades for $10 per person. Using increments of 5, make a table showing the total rental charge for 0 – 50 people. (VP) Day 43

The Graham family is traveling from Pittsburgh to Virginia Beach at an average speed of 60 miles per hour. Write an equation for a rule you can use to calculate the distance they have traveled after any given number of hours. Use your equation to find the distances for 0.5, 3, and 15 hours. (VP)

Day 44

HL Sammy flipped a coin 5 times and got a tail each time. What are the chances she will get a tail on her next toss? Explain your reasoning.

On dot paper, draw a square with an area of 4 and show why it has that area. (LP) Day 45

Give three examples of an event that would have about a 100% chance of happening. (hl)

Day 46

If d = 30t, make a table showing the distance traveled every half hour up to 4 hours. (VP) Day 47

The equation d = 30t represents the distance, in miles, covered after traveling at 30 miles an hour for t hours.

If t = 3.5 hours, what is d? If d = 120 miles, what is t? (VP)

Day 48

Use symbols to express the rule as an equation. Identify what each letter represents. The area of a triangle is one half its base multiplied by its height.

The number of balloons needed for the party is 3 for each guest.

The cost for video rental at Joe’s Shows is $2.50 per video plus the $10 membership fee. (VP) Day 49

Is it possible to flip a fair coin 25 times and have it turn up heads 25 times? Is this likely to happen? Explain your reasoning. (HL)

Day 50

What is a coordinate graph? What is a coordinate pair? (VP) Day 51

At Happy Days Middle School, there are three times as many girls as there are boys.

Write an equation to express this relationship.

If there are 150 boys in the school, how many girls are there?

If there are 210 girls in the school, how many boys are there? (VP)

Day 52

HL Jaimie flipped a coin 40 times and heads turned up 18 times. What percent of the 40 flips of the coin turned up heads? Day 53

The equation for the perimeter of a rectangle is P = 2l + 2w, where p=perimeter, l = length, and w = width.

Find the perimeters of the following rectangles:

1. l = 7 ft, w =4 ft 2. l = 9 cm, w =2.5 cm 3. l = 4.5 in, w = 2.25 in (VP)

Day 54

These are similar rectangles

? What is the scale factor from A to B? What will the dimension of the unknown side be? What is the scale factor from B to A? (SS)

Day 55

What is the length of the side of a square with an area of 16? (LP)

What is the length of the side of a square with an area of 49? (LP)

Find the square root of 121. (LP)

Day 56

HL Give an example of an event that would have about a 0% chance of happening. Day 57

The square root of 57 is between what two whole numbers? (LP)

Why is it easier to find the area of an upright square than to find the area of a tilted square? (LP)

Day 58

Draw and label the parts of a right triangle. Use these words: right angle, leg 1, leg 2, hypotenuse. (LP) Day 59

State the Pythagorean Theorem in words. (LP)

State the Pythagorean Theorem in symbols. (LP)

Day 60

A 10 foot ladder is leaning against a tree. The foot of the ladder is 3.5 feet from the base of the tree trunk.. (LP)

a. Draw a diagram and label the ladder length and its distance from the tree.

b. How high on the tree does the ladder touch? Day 61

A square empty lot that is often used as a shortcut is 50 feet on a side. How much shorter is the diagonal across the lot than walking along the side of it? Draw and label a sketch and show all math. (LP)

Day 62

A 50-foot rope is attached to the top of a 40-foot pole. If the rope is stretched to the ground and fastened, how far from the base of the pole is it fastened. Draw and label a sketch and show all math. (LP) Day 63

SD Estimate the measure of a 60-degree angle. Draw the angle. Explain or show how you know the angle you drew measures 60 degrees.

SD Draw an equilateral triangle. What can you say about the angles in an equilateral triangle?

Day 64

A boat traveled 15 miles west and then 20 miles south. How far is the boat from its starting point? Make a sketch of the problem and show your math. (LP) Day 65

An 11-foot ladder is placed so that it reaches the top of a wall. The bottom of the ladder is 6 feet from the wall. How high is the wall? Sketch and label a drawing and show your math. (LP)

Day 66

Use the Pythagorean Theorem to find the length of the missing side.

12 Day 67

SD Draw an angle that measures about 120 degrees. Explain or show how you know the angle you drew measures 120 degrees.

Day 68

Evaluate these expressions for the given value, show all work, and describe the order in which you performed the operation. (SIWS)

3j2 + 8 when j = 5

2k4 when k = –3

24 2m when m = 6 Day 69

Sketch and label a right triangle with the following side lengths: 6, 8, and 10. (LP)

Will a triangle with sides of length of 12, 16, 20 be a right triangle? Be sure to justify your answer with mathematics. (LP)

Day 70

Write an expression in expanded form that is equivalent to the given expression. Draw a diagram to illustrate the equivalence. (SIWS)

5(x + 3)

4(x + 8) x(2 + 9) Day 71

SD These are isosceles triangles. What do they have in common?

Day 72

Given the area of the swimming pool, find the dimensions. (SIWS)

20x + 15 Day 73

Write an expression that is equivalent to the given expression. (SIWS)

5x + 2x

8x – (5 + 2x)

3(x + 9)

Day 74

Write an expression that is equivalent to the given expression. (SIWS)

4(x + 7) + 3

6(x + 2) – 2(x + 2)

7 – 12x + 8x Day 75

SD If you know that two of a triangle’s angles are 30 degrees and 90 degrees, how can you determine the 3rd angle?

Day 76

Use the Pythagorean Theorem to find the length of the missing side. Day 77

2a + 3 when a = 9

17 + 4b when b = 5

12c – 15 when c = 5

Day 78

15 – 2d when d = 8

7(e + 5) when e = – 4

8(2f + 9) when f = – 3 Day 79

SD Give the dimensions of every rectangular patio that could be made with 144 foot square tiles.

Day 80

(g + 6)(g – 2) when g = 5

5n +_10 n + 2 when n = 6

5h2 when h = 3 Day 81

Draw all rectangles that have an area of 24 and whole number side lengths. Are any of them similar? (SS)

Day 82

If two figures are mathematically similar, describe the relationships between their:

General shapes Angle measures Side lengths (SS) Day 83

SD If the length of a rectangle is 10 cm and the perimeter is 44 cm, what is the width of the rectangle?

10 cm.

Day 84

Louise designed a school for her math class and made a scale model of it.

Here are some of the dimensions:

MODEL ACTUAL SCHOOL

Height of Windows 0.5 feet 3 feet

Height of Door 1 foot

What are the dimensions of the actual school’s door? What scale factor is being used? (SS) Day 85

Find the areas of the following rectangles.

LENGTH WIDTH AREA 4 3 4 2 8 4 2 1 3 2 8 6 4 1 5 3 Find all the pairs of similar rectangles. (SS)

Day 86

You roll one die. What is the probability of rolling a six? You roll one die. What is the probability of rolling a two or six? You roll two dice. What is the probability of one of the die being a two? You roll two dice. What is the probability of both dice being twos? Day 87

In taste tests, people who preferred Chocolate Crunch cereal outnumber those who prefer Count Chocolotta cereal by 20. If 60 people preferred Chocolate Crunch, how many preferred Count Chocolotta? How many people were surveyed in all? (CMS)

Day 88

SD A border 64 feet long surrounds a rectangular brick patio. What are the dimensions of the patio? Give the dimensions of 3 different brick patios with a perimeter of 64 feet. Day 89

Write a ratio for the number of boys to the number of girls in the class. Write a ratio for the number of girls to the number of boys in the class. Write a ratio for the number of boys to the number of students in the class. (CMS) Day 90

Tim mowed 3/5 of his lawn. What fraction does he still have to mow? Express the fraction as a percent.

Day 91

Sylvia drinks 5 glasses of milk every 2 days. How much milk would you expect her to drink in 10 days? Day 92

Find the value of the following.

64 53 210 102 44 70

Day 93

SD A border 80 feet long surrounds a rectangular brick patio. What are the dimensions of the patio? Give the dimensions of 3 different brick patios with a perimeter of 80 feet. Day 94

Put the following numbers in order from smallest to largest. a) 4.5x106 b) 3.25x105 c) 3,000 d) 6,000,000

Day 95

Write the decimal equivalents for these fractions. a) ½ b) 1/3 c) ¼ d) 1/5 e) 2/3 f) 1/10 g) 4/10 h) 3/5 i) 1/8 Day 96

What is 25% of 96? Explain each step of your work.

Day 97

Compute the following sums. a)(-6)+10= b)(-3)+(-12)= c) 23+(-4)= d)14+(-13)= e)(-2)+(-2)+(-2)+(-2)= Day 98

SD A border 72 feet long surrounds a rectangular brick patio. What are the dimensions of the patio? Give the dimensions of 3 different brick patios with a perimeter of 72 feet.

What is the prime factorization of 24? (PT)

What is the least common multiple of 8 and 12? (PT)

Day 99

On Monday the average temperature was 7°C. On Tuesday it was 0°C. On Wednesday it was 1°C. On Thursday it was – 4°C, and on Friday it was 4C. Between which two days was the greatest temperature change? (ATN)

What number is equal to 2 x 32? (PT) Day 100

A pouch contains 50 marbles – some green, some yellow, and some blue. The probability of pulling out a green marble is 25%, and the probability of pulling out a yellow marble is 35%. How many marbles of each color are in the pouch?

Find the diameter of a circle that has a radius of 7cm. Sketch and label a drawing.

Day 101

Figure out the rule and use it to fill in the table.

5 8 12 1 15 79 100 a 8 11 15 7 26 Day 102

What is the diameter of a circle with an area of 28.26 square centimeters?

Change into Exponential Form and give the value. a) 2*2*2 = 8 = 2^3 b) 1*1*1*1 = _____ = _____ c) 5*5 = ______=______d) 7*7 = ______= ______e) 3*3*3*3*3* = ______=______f) 4*4*4 =______=______g) 6*6 =______=______

Day 103

SD Draw a parallelogram. What can you say about the sides and angles of parallelograms? Day 104

Rewrite in Expanded Form. a) 2^4 = 2*2*2*2 b) 5^3 =______c) 7^4=______d) 3^2=______e) 5^4=______

Day 105

Name the base in each problem. Why do you think they call it the base? 4^(n-1) 5^2 3^(N + 1) Day 106

Who wants to be a Millionaire prizes increase exponentially with each correct answer, doubling each time. If one correct answer gives you $100.00, how much money will you win after 5 correct answers?

Day 107

Find the rule and use it to complete the pattern.

16 29 5 10 11 b 11 24 0 12 30 8 40 Day 108

Which has the greater value, why? $2.00^(100) or $2.00(100)

Day 109

SD Sketch a clock face with hands pointing to 12 and to 7. Estimate the measure of the angle formed by the hour and minute hands. Day 110

In a survey of how many students listen to the radio and watch TV, the following resulted. (CMS) 6/10’s of the students surveyed watch TV. What percent is this? 2/5’s of the students surveyed listen to the radio. What percent is this?

Day 111

15 + 3 x 2 + 12 (SIWS) 8 – 5 Day 112

This rectangle has a perimeter of 60 meters and a side of length l meters. Express the other side in terms of l. Make a table of side lengths for values of l from 1 to 10.

Day 113

How do you convert a fraction to a decimal? How do you convert a decimal to a percent? (CMS)

A rectangle has a perimeter of 20 inches. The length is 10 inches. What is the width of the rectangle? Day 114

Elise is climbing a pole in gym class. She starts with her hands on the pole 5 feet from the floor. She climbs up 4 feet and slides down 2 feet. Then she climbs up 5 feet and slides down 1 foot. Finally she climbs up 3 feet and reaches the top of the pole. How tall is the pole? (ATN)

Day 115

Write in expanded form. a) 7^3 b) 9^2 c) 5^4 d) 2^3 e) 5^2 f) 6^3 Day 116

Sabrina is trying to compare her quiz score to a test score. Each score was written as a fraction, showing Sabrina’s points (the part) over the total number of possible points (the whole), like this: Quiz: 13/15 Test: 38/50 Did Sabrina get a higher percent correct on her quiz or her test? (CMS)

Day 117 James has a square picture that has one side of length 12. What is the perimeter of this picture. Draw a diagram to support your answer.

Angelica has a bag that contains 25 blocks. There are 12 purple blocks, 8 yellow blocks, and 5 green blocks in the bag. If Angelica reaches into the bag without looking, what is the probability that she will not pick a red block from the bag? (WDYE) Day 118

The perimeter of a square is 28 inches. What is the length of one of the sides of the square? Draw a diagram to support your answer.

Day 119

The college students from the Ocean & History Bike Tour spent $87.50 on bag lunches for 35 customers. At this rate, how much does lunch cost for each customer? How much would lunch cost for 70 customers? (CMS) Day 120

Monique bought a CD player for $90 plus 7% sales tax. What was the total cost of the CD player? Please show all your work. (C&S)

If the rabbit population represents exponential growth – what do you think would be an example of exponential decay? (GGG)

Day 121

Is it Exponential Growth or Exponential Decay. a) 2(7^X) b) 2(0.4^4) c) 2(0.1^X) d) 2(3/7^X) e) 2(2^X) Day 122

Calculator work - Graph 2(0.5^X) 2(5^X) State all the differences.

What is the greatest common factor of 12, 18, and 24? (PT)

Day 123

What does the term “starting population” mean?

A recipe for apple juice calls for 2 cups of juice concentrate to 3 cups of water. I want to use this recipe for a party, and make enough for each guest to have one cup of juice. How many cups of water and how many cups of concentrate are needed if I have 20 guests. How many cups of water and how many cups of concentrate are needed if I have 50 guests. (CMS) Day 124

Carmen measured the length of her classroom. She recorded the number 25 but did not write down the units. Which of the following is a reasonable unit for this measurement? Inches, feet, yards, miles.

Day 125

List all of the rectangles with whole number side lengths that have a perimeter of 30.

(ff) Day 126

Write two expressions for the area of the following shape.

Day 127

X 3 Day 128

Mr. Ajay’s car gets 39 miles per gallon of gas on the highway. How many gallons of gas will it take for him to travel 429 miles? If Mr. Ajay has seven gallons of gas in his tank, how many miles can he drive? (CMS)

Day 129

Anita earned $17.50 for babysitting her niece for five hours. Write a rule to find Anita’s earnings for any number of hours of babysitting. How much money would Anita make after 3 hours of babysitting? (CMS) Day 130

Day 131

X 5 Day 132

List everything you know about linear, exponential, and quadratic relationships.

Day 133

Store 1: Nails are on sale at Daniel’s Hardware: 10 nails for $ .15 cents Store 2: Nails are on sale at Hard-Day Hardware: 15 nails for $ .30 cents Which store has the better buy for nails? Write a rule to find the total cost for any number of nails for both stores. (CMS) Day 134

Draw a number line between 0 and 1 and locate the following on the line: (CMS) a) ½ b) 2/3 c) 75% d) .60

Day 135

Is this relationship linear, exponential, or quadratic? X 0 1 2 3 4 5 6 7 8 Y 0 2 8 18 32 50 72 98 128 How do you know? Day 136

Evaluate the following expressions

b. 729-4+8 c. 4205 d. 8+(8*8) e. 8(8+8) f. 34+255-1

Day 137

2 cans of soup feed six people. Write a unit rate for the number of people who can eat from one can of soup. How many cans of soup will you need to feed 30 people? (CMS) Day 138

Between what two whole numbers are the following : a. 24 b. 53 c. 38.75 d. 75

Explain your reasoning for each. Day 139

For his science project, Lamont figured out that his family of 4 used 925 gallons of water in one week. How many gallons of water did each member of his family use? (CMS)

Day 140

Jodi started the year 2000 with $456 in her bank account. She received 0.75% interest on the first day of each month. How much should she expect to have in her account on December 31? Show your work. Day 141

Fill in the missing numbers in the following linear relation:

X 1 0 10 -6 -2 3 Y 3 -5 21 4

Day 142

Fill in the missing numbers in the following linear relation:

X 5 2 0 -2 7 -10 Y 13 19 17 25 Day 143

Evaluate the following expressions. Show your work: a. 9(8-2) b. 4+2.53-4 c. 168-2 d. 78+2

Day 144

Find at least 6 numbers between 1.5 and 3 Day 144

Give the slopes and y-intercepts of the graphs of the following relations. a. y=3x-1 b. y=4-3x c. y= -2x-7 d. y=5+x e. y=15

Day 146 Is the following relation linear? Explain why or why not?

X 0 12 -2 .5 7 6 -3 0.2 Y 0 48 -8 2 28 24 -12 0.8 Day 147

Is the point, (3, 5) on the graph of the equation y=2x-1? Explain how you know.

Day 148

Find the slope of the line going through the following points:

(2,1) and (5,8) Day 149 Fill in the missing values in the following table:

8 1 12 6 11 c 15 36 18 33 0 21 66

Day 150

Find the missing values of the table

x 7 8 9 10 11 12 13 y 75 79 Day 151

A rectangle with the dimensions of 3 feet x 4 feet has an area of 12 square feet. Give the dimensions of at least 2 other rectangles with the same area.

Day 152

Graph the following equations on your graphing calculator: a. y=1/x - 2 b. y=1/x - 4 c. y=1/x - 6 d. y=1/x - 8

Describe the similarities and differences between the graphs. What do you think accounts for these? Day 153

The following graph shows the depth of water in a bathtub. Explain what is happening and why the slope changes during each different interval. H T P E

D D E C F B

A TIME G

Day 154

Sketch a graph from the following table: TIME TEMP 8AM 30 9AM 35 10AM 42 11AM 31 NOON 25 (VP) Day 155

The Graham family is traveling from Pittsburgh to Virginia Beach at an average speed of 50 miles per hour. Write an equation for a rule you can use to calculate the distance they have traveled after any given number of hours. (VP)

The equation d = 45t represents the distance, in miles, covered after traveling at 30 miles an hour for t hours.

If t = 3.5 hours, what is d? If d = 120 miles, what is t? (VP)

Day 156

Figure out the rule that is used to complete the pattern. Fill in the table.

16 20 4 40 100 d 10 5 11 6 15 2 20 Day 157

Frieda is taking a ride on her bike. Sketch quick graphs of (time, speed) to represent the following situations: Frieda’s speed is constantly increasing.

Frieda’s speed is constantly decreasing.

Frieda’s speed is increasing steadily at first, then it levels off and remains constant. (VP)

Day 158

Use the table below to answer the questions:

TIME TEMP 8AM 60 9AM 52 10AM 57 11AM 60 12NOON 70 1PM 78

Between which times did the temperature change the most? The least? What is the range of temperatures? (VP) Day 159

For the following set of coordinate points, find a pattern in the data, and express the rule for the pattern as an equation.

(0,2), (1,3), (2,6), (3,11), (4,18), (5,27) (VP)

For the following set of coordinate points, find a pattern in the data, and express the rule for the pattern as an equation.

(0,3), (1,7), (2,11), (3,15), (4,19), (5,23) (VP)

Day 160

The table below shows the relationship between the number of hours in the parking garage and the cost for parking. Write an equation for the rule relating parking cost, p, and number of hours, h.

HOURS PARKING COST 1 $2.25 2 $4.50 3 $6.75 4 $9.00 5 $11.25

If h = 2.5, what is p? (VP) Day 161

Find the value of “?”: a) ?+5=7 b) ?+10=-6 c) 7-?=12 d) 12 x ?=-36 e) 64?=-8 f) ? x –13=169

Day 162

For the following list of temperatures, (in degrees C), find the mean, median, and range:

+25, +20, +13, +2, -9, -15, -17, -14, -7, +4, +16, -23 Day 163

Describe a situation that could be represented by the equation:

Y=12 – 3x

Day 164

Find an equation that describes the data in the following table:

x 2 0 -4 1/3 -10 -3 3 7 y 5 -1 -13 0 -31 -10 8 20 Day 165

Solve the following equations. Show each step of your work: a) 27 = 4x - 5 b) 0.5x + 2 = 14

Day 166

Evaluate each expression if n=3: a) 4n2 b) -6n-7 c) -2n3 d) 18-7n e) n+2n+3n Day 167

Fill in the missing numbers in the table. Write a rule that describes the pattern: X 2 -1 0 ½ 4 Y -4 2 0 4 6 3

Day 168

Tina is trying to compare her quiz score to a test score. Each score was written as a fraction, showing Tina’s points (the part) over the total number of possible points (the whole), like this: Quiz: 17/20 Test: 36/50 Did Tina get a higher percent correct on her quiz or her test? (CMS) Day 169

Is the point, (3, 8) on the graph of the equation y=2x-1? Explain how you know.

Day 170

Bud and Tony are walking to the yogurt shop. Bud’s distance to the shop is described by the equation y=50-1.5x. Tony’s distance to the yogurt shop is described by the equation y=30-1.75x. What do the numbers in the equations represent? What do the variables represent? Day 171

If the recipe for one batch of brownies calls for ¼ cup chopped pecans and ¾ cups butter, how much of these ingredients would be needed to make 5 recipes?

Day 172

Find the value of 12-3d2 for the following values of “d”: a) -7 b) 2 c) 7 d) 15 Day 173

The scale factor from the larger bird to the smaller bird is ½. Write everything that you know about the two figures given this information.

Day 174

A cereal box has the following measurements:

Length 28 cm. Width 19 cm. Thickness 6 cm.

Find the volume and surface area of the box. Day 175

Tina made 4 trips last month. Here is the information she saved from those trips: Time Distance 11 hours 608 miles 4 hours 242 miles 9 hours 586 miles 7 hours 479 miles

During which trip did she travel the fastest? During which trip did she travel the slowest?

Day 176

Write a “real-world” situation that could be described by the following equation. m=5+4p Day 177

Denise’s parents put $125 in her bank account when she is born. The account earns 4% interest each year. How much would she expect to have in her account when she turns 15?

Day 178

Give three examples of events that have a near zero probability of happening. Day 179

One fourth of the clothes hanging in David’s closet are pants. The rest are shirts. Express the fraction of shirts as both a fraction and a percent. What is the ratio of pants to shirts?

Day 180

The circumference of a circle is equal to the diameter times pi, (3.14). Find the circumference of circles with the following diameters. a) 4 inches b) 12 feet c) 3 centimeters d) 2.5 meters e) 4 ½ yards