Which of the following are equivalent to this expression? 2m + 10m + 14 + 3
A) m + 12m + 8 + 9
B ) 2m + 10 + 10m + 7
C) 6m + 6m − 1 + 18
D) 15m + 15 − 3m + 2
B C and D
What value of x makes this equation true?
1/2(x+4)= -8
x = -20
There are 16 ounces to a pound
A watermelon that weighed 12 pounds cost $5.76. What was the cost per ounce of the watermelon?
$0.03 per ounce
These lists show the ages of attendees in a yoga class and a dance class.
Yoga: 18, 31, 17, 44, 20, 33, 36
Dance: 20, 47, 23, 38, 26, 42, 30
Figure out the mean of each class rounded to the hundredth
Yoga : 28.43
Dance : 32.29
A sandbox has a rectangular base with a length of 10 feet and a width of 4 feet. The groundskeeper adds 6 inches of sand to complete the sandbox How many cubic feet of sand is in the sandbox?
20 cubic feet
Write an equation can be used to find c, the total cost in dollars of n boxes of cookies?
c = n3.50 or c = 3.50n
Paloma opened a savings account with a deposit of $750. She earns 2% simple interest per year on the account.
What will be the total amount of money, in dollars, in Paloma’s account after 1 year ?
$765
Simplify the expression
1/4(8-6x+12)
-3/2x+5
Jessica went online and rented 1 video game and 3 movies for a total of $11.50.
• The video game cost $4.75 to rent.
• The movies cost the same amount each to rent.
What amount, in dollars, did Jessica pay to rent each movie?
$2.25 each
Hayden mixed 6 cups of blue paint with 8 cups of yellow paint to make green paint. To represent the relationship between the number of cups of blue paint, b, and the number of cups of yellow paint, y, needed to make the same shade of green paint, Hayden wrote the equation
b = ?y
What number should replace the qurestion mark?
3/4 or .75
A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price.
What is the selling price, in dollars, of the book?
$21
A customer wants to buy a book that has an original selling price of $38. The book is discounted 25%. What is the new price of the book?
$28.50
Sal exercised by stretching and jogging 5 days last week. • He stretched for a total of 25 minutes during the week.• He jogged for an equal number of minutes each of the 5 days.• He exercised for a total of 240 minutes.
Determine the number of minutes Sal jogged each day last week
43 minutes each day
A train traveled 1/5 of the distance between two cities in 3/4 hour.At this rate, how many hours will it take the train to travel the entire distance between these two cities?
3 3/4 hours
The scale on a map shows that 5 centimeters 2 kilometers.
What number of centimeters on the map represents an actual distance of 5 kilometers?
12.5 centimeters
The scale on a map shows that 5 centimeters 2 kilometers.
What is the actual number of kilometers that is represented by 2 centimeters on the map?
4/5 kilometers
Rosy waxes of 2/3 of her car with 1/4 bottle of car wax.
At this rate, what fraction of the bottle of car wax will Rosy use to wax her entire car?
3/8
Consider the equation 5 + x = n
What must be true about any value of x if n is a negative number? Explain your answer. Include an example with numbers to support your explanation. You can also write an inequality that would make this true.
Explain how to compute the amount of money the worker receives for any number of miles. Write an equation that can be used to determine the total amount of money, y, the worker receives for driving x miles.
Answers will vary. It needs to show 0.51 per mile
y = 1/2x + x/100
A 5-lb bag of apples costs $4.50, and an 8-lb bag of the same type of apples costs $7.52. Greg found the unit price, which is the constant of proportionality between cost and weight, for each bag of apples. What is the difference in the unit prices?
$0.04 per pound
Simplify
1/2(2n+6)
n+3
Simplify 3x – (2x + 4) + 5
x + 1
A library has 12,500 fiction books and 18,000 nonfiction books. Currently, 2/5 of the fiction books are checked out. Currently, 2/3 of the nonfiction books are checked out. Of the books checked out, 1/10 are due back this week. How many books are due this week
1700 books
Kevin is paid $8.80 per hour. He worked 7 hours. He gave his mother 1/4 of his earnings. How much did Kevin have left?
$46.60
Four friends each flipped a coin different numbers of times. Alice got tails 75% of the time. Mary got tails 8 out of 10 times. Sarah got tails 17 out of 20 times. Ellen got tails 3/5 of the time. Who had the greatest percentage of tails? List their names from least to greatest.
Sarah
Ellen, Alice, Mary, Sarah