Chapter 1
Thu wants to play “Guess My Number.” She states, “When I triple my number and add five, I get twenty-six. What is my number?” What is her number? Show how you know.
Her number is 7
if five slices of pizza cost $5.50, how much does a half slice cost?
The cost of half of a slice of pizza costs $0.55
Evaluate each expression.
7+(−3)
(-2)/(-2)
a.4
b.1
Sao can text 1500 words per hour. He needs to text a message with 85 words. He only has 5 minutes between classes to complete the text. Can he do it in 5 minutes?
(25)(5)=85
Does he have enough time to complete the 85-word text?
If five songs can be downloaded for $6, what is the cost of seven songs?
$8.40
Which is greater, 34 or 1116?
3/4 is bigger
Carmen is downloading music for her Pod. Each song costs $1.75. Is this relationship proportional?
If the cost of each song is $1.75 and the price per song stays the same no matter how many songs
Carmen buys, then yes, it is a proportional relationship.
A bag contains 3 red, 5 yellow, and 7 purple marbles. Find the probability of drawing a purple marble followed by a red marble. The first marble is put back in the bag between draws.
21/225
homeowner must reduce the use of his home’s electricity. The home currently consumes 25.7 kwh (kilowatt hours) of electricity per day, and the homeowner must reduce the use by 20%. Find the amount of electricity that will be used after the reduction in two different ways, using two different scale factors.
25.7-5.14=20.56kwh
Michaela holds her state high school record for the 500-meter freestyle swimming event. She can swim the event in 4 minutes and 50 seconds. At this same rate, how far will she swim in 10 minutes?
1034.48 meters
If five notebooks cost $5.25, how much would three notebooks cost?
The cost of three notebooks is $3.15.
Lucy keeps track of how long it takes her to do the newspaper’s crossword puzzle each day. Her recent times, in minutes, were:
8 22 19 12 18 19 10 35 12 19 16 21
What is the mean
17 7/12 minutes
Jerry bought some pears at the store. He paid $4.59 for 5.4 pounds of pears. What is the unit price of the pears?
Hint:
0.85 dollars/poundes
Simplify each expression.
3.3(x+4)
9−512x−3(−2x+1)
a.3.3x+13.2
b.1/2x+6
Gail bought a new baseball cap for $7.50, which was 13 off the original price. What was the original price?
x=$11.25
Imagine that you have a bag containing 10 marbles of different colors. You have drawn a marble, recorded its color, and replaced it fifty times, with the following results: 9 purple, 16 orange, 6 yellow, and 19 green marbles. Make a prediction for how many marbles of each color are in the bag. Show all of your work or explain your reasoning.
purple, 3 orange, 1 yellow, 4 green.
Complete a Proportions Web for the following situation.
Clifford works 40 hours per week while working as a laboratory technician. He earns $453.60 for each week of work.
$11.34 dollars per week
Complete a Proportions Web for the following situation.
A candy-wrapping robot can wrap 434 pieces of candy in 5 minutes. How many pieces of candy can it wrap in any number of minutes?
The Rule for this situation is P=86.8t.
Joe wanted to know more about how the cost of fertilizer for his lawn-care business was changing. The cost of a bag of fertilizer just increased from $8 to $15. What is the percent increase of the price? Represent the change as a fraction, as a p
7/8=0.875,87.5%
Jessica’s parents are planning their new house. They received a scale drawing from an architect, and Jessica is trying to figure out how big her bedroom will be. The architect has noted that each 14 inch on his drawing represents one foot of distance in the new house. If the diagram of Jessica’s room measures 212 inches by 414 inches, what will be the actual dimensions of her new room?
Jessica's bedroom will be 10 feet by 17 feet.
Ramon is saving $7.75 per week to buy a new cell phone. The phone he wants costs $125.00. For how many weeks will he need to save his money? First, estimate your answer. Then figure out the actual number of weeks.
estimated is about 15 weeks, but Ramon will actually need to save for 17 weeks.
Maggie was at the state fair and decided to buy a sundae from an ice cream stand. The ice cream stand had four flavors of ice cream (chocolate, vanilla, mint chip, and coconut) and two toppings (hot fudge and caramel). How many different sundaes could Maggie create using one scoop of ice cream and one topping?
Maggie could create 8 different sundaes.
Darnell is designing a new game. He will have 110 different-colored blocks in a bag. While a person is blindfolded, he or she will reach in and pull out a block. The color of the block determines the prize according to Darnell’s sign at right.
If he wants players to have a 60% probability of winning a small toy, how many blue blocks should he have?
a.66 blue blocks
Last month, a dwarf lemon tree grew half as much as a semi-dwarf lemon tree. A full-size lemon tree grew three times as much as the semi-dwarf lemon. Together, the three trees grew 27 inches. Write and solve an equation to determine how much each tree grew. Make sure you define your variable.
x+0.5x+3x=27
Semi-dwarf tree grew 6 inches.
Dwarf tree grew 3 inches.
Full-size tree grew 18 inches.
Skye’s Ice Cream Shoppe is Mario’s favorite place to get ice cream. Unfortunately, because he was late arriving there, his friends had already ordered. He did not know what they ordered for him. They told him that it was either a waffle cone or a sundae and that the ice cream flavor was apricot, chocolate, or blackberry.
Make a list of all of the possible ice cream orders.
What is the probability that Mario will get something with apricot ice cream?
What is the probability that he will get a sundae?
What is the probability that he will get either something with chocolate or a waffle cone with blackberry?
What is the probability that he will get orange sherbet?
Waffle-Apricot, Waffle-Chocolate, Waffle-Blackberry, Sundae-Apricot, Sundae-Blackberry, Sundae-Chocolate
2/6
2/6
4/6
0/16