Compute Decimals & Fractions MA.6.NSO.2.3
Robin has 3 3/4 feet of ribbon on one spool and 2 7/8 feet of ribbon on another spool. She plans to use 2/3 feet of ribbon to wrap packages. How many packages can Robin wrap?
She can wrap 9 packages
Which of the following numbers are on opposite sides of zero on the number line?
A. 0 and 2
B. 4 and 3
C. 5 and -6
D. -7 and -8
C. 5 and -6
In 2007, West Yellowstone, Montana had a one-day low temperature of -51 degrees Fahrenheit. What change in temperature, in degrees Fahrenheit, would bring the outside temperature to 0 degrees Fahrenheit?
A. -50
B. -51
C. 0
D. 51
D. 51
Which of the following inequalities are true? Select all that apply.
A. |9|>10
B. |-9|<9
C. |-10|>|9|
D. |-9|>-|9|
E. -|-10|<|-10|
F. |-9|<|-10|
C. |-10|>|9|
D. |-9|>-|9|
E. -|-10|<|-10|
F. |-9|<|-10|
Which expression is equivalent to (12+6)/2?
A. (12+6)÷2
B. 12+6÷2
C. 12÷2+6
D. 12÷(2+6)
A. (12+6)÷2
Josh went fishing and caught five bass and four trout. The bass weighed an average of 4.96 pounds and the trout weighed 3.76 pounds. What was the total weight of the fish that Josh caught?
39.84 pounds
The following data shows the elevations of some locations in the United States that are below sea level. Sea level is represented by an elevation of 0 meters.
Death Valley, CA -86 meters
New Orleans, LA -2 meters
Desert Shores, CA -61 meters
Seeley, CA -13 meters
Select all the statements that are true.
A. Death Valley has the greatest elevation.
B. Seeley has a greater elevation than New Orleans.
C. New Orleans has a greater elevation than Death Valley.
D. Seeley has a greater elevation than Desert Shores.
E. Desert Shores is closer to sea level than Seeley.
F. New Orleans is farther than Death Valley from sea level.
C. New Orleans has a greater elevation than Death Valley.
D. Seeley has a greater elevation than Desert Shores.
What is |-8/13|?
8/13
A stock’s value, in dollars changed by +0.21 on Monday and -0.78 on Wednesday. Which statement correctly compares the changes in the stock’s value?
A. The value changed more on Monday because |0.21|>|-0.78|.
B. The value changed more on Monday because 0.21<-0.78.
C. The value changed more on Tuesday because -0.78>0.
D. The value changed more on Tuesday because |-0.78|>|0.21|.
D. The value changed more on Tuesday because |-0.78|>|0.21|.
Which expression is equivalent to 38(251m-45)?
A. 38(251m)-38(45)
B. 38(406m)
C. -7(251m)
D. 38(251m)-45
A. 38(251m)-38(45)
A glaze recipe requires 1 1/2 cups of powdered sugar and 3 3/4 tablespoons of milk to glaze 12 doughnuts. If Sherwin has 6 3/5 cups of powdered sugar and 12 1/2 tablespoons of milk, what is the greatest number of doughnuts that he can glaze?
The greatest number of doughnuts that he can glaze is 36.
Plot the opposite of the following on a number line. Be sure to label.
A. 3
B. -5
C. -(-4)
If no number line is available, have students to write the opposite of each and demonstrate the number line.
A. -3 is opposite of 3.
B. 5 is opposite of -5.
C. -4 is opposite of -(-4).
Which of the following is equal to -25? Select all that apply.
A. |-25|
B. (-25)
C. |25|
D. Opposite of 25
E. -|-25|
F. Opposite of negative 25
B. (-25)
D. Opposite of 25
E. -|-25|
Which of the following values for a and b have the following properties?
a>b and |a|<|b|
A. a=-8 and b=10
B. a=8 and b=10
C. a=3 and b=-9
D. a=9 and b=-3
C. a=3 and b=-9
A teacher wrote this expression on the board.
40a-16b
Which of the following are equivalent to the expression the teacher wrote? Select all that apply.
A. 4(10a-16b)
B. 4(10a-4b)
C. 8a(5-2)
D. 8(5a-2b)
E. -16b+40a
F. 24ab
B. 4(10a-4b)
D. 8(5a-2b)
E. -16b+40a
Mini candy bars come in 10/48-ounce bags. At a party, the boys had 3.75 bags of candy bars and the girls had 2.6 bags of candy. How many ounces did the boys and girls have in total?
A. 6.35 ounces
B. 1.65 ounces
C. 12.052 ounces
D. 66.548 ounces
D. 66.548 ounces
Jeff, Kerri, Victoria, and Joe decided to climb Mount Blanc in France. They setup a base camp on the mountain.
•Jeff and Joe reached an elevation of 250 feet above the base camp at noon.
•Kerri and Victoria reached an elevation of 175 feet below the base camp at that same time.
1. How would you represent Jeff and Joe’s elevation in this context?
2. How would you represent Kerri and Victoria’s elevation in this context?
3. What does 0 represent in this context?
1. 250
2. -175
3. The base camp.
A group is racing to grab a flag that is in the center of a field. Some of the participants are coming from the right and other from the left. The following are the locations of the participants in relation to the flag.
•James is -20 meters.
•Franklin is 15 meters.
•Marcus is 8 meters.
•Nicholas is -5 meters.
Who is the closest to the flag?
A. James
B. Franklin
C. Marcus
D. Nicholas
D. Nicholas
Sandy and Rebecca are out scuba diving.
•Rebecca was located 8 feet in the boat.
•Sandy was at -60 feet
How far apart are Rebecca and Sandy?
They are 68 feet apart.
Which of the following are equivalent to the expression
6x+24
Select all that apply.
A. 6(x+4)
B. 6(x+24)
C. 3(12+2x)
D. 2(3x+12)
E. 3x+3+20+4x
F. 4x+12+2x+12
A. 6(x+4)
D. 2(3x+12)
F. 4x+12+2x+12
A chef ordered thirty-six eggs for the restaurant. 1/12 of the eggs were used for a chocolate brownie special and 1/4 of the eggs were used for cooked breakfasts. From the remainder, 1/2 of the eggs were used for the meringue. How many eggs were left?
12 eggs are left
Which situations can be described with a negative number? Select all that apply.
A. Jason’s bank account showed a deficit of $20.
B. The capitol building in Tallahassee, Florida is 345 feet.
C. The world record pole vault is 6.22 meters by Armand Duplantis.
D. S.S. Edmund Fitzgerald rests at a depth of about 530 feet.
E. The greatest depths of the Grand Canyon lie more than 6,000 feet below its rim.
A. Jason’s bank account showed a deficit of $20.
D. S.S. Edmund Fitzgerald rests at a depth of about 530 feet.
E. The greatest depths of the Grand Canyon lie more than 6,000 feet below its rim.
Stacy incorrectly stated that |5| is -5 and |-2| is 2 because the absolute value tells us the opposite. What is the actual solution and justification?
The
[] |5|=5 and |-2|=-2
[] |5|=-5 and |-2|=-2
[] |5|=5 and |-2|=2
because the absolute value of a number gives the
[] direction of the number from 0.
[] distance the number is from 0.
[] amount that is greater than 0.
[] amount that it is less than 0.
|5|=5 and |-2|=2 and distance the number is from 0.
Aaron and Katelyn are out shopping. Aaron goes to the sporting good store and Katelyn goes to the pet shop.
Sporting goods is shown at -400 feet while the Pet shop is shown at +100 feet. Complete the statement.
[] Aaron [] Katelyn traveled ([] 100, [] 200, [] 300, [] 400, [] 500) feet further.
Aaron, 300 feet further.
A student claims that the expression 6+8x is equivalent to the expression 3(3+5x). This claim is incorrect. Explain the student’s error.
The student determined that 3(3+5x) was equivalent to 3(3+5x) by
[] distributed the 3 by multiplying to each term.
[] distributed the 3 by adding to each term.
[] distributed the 3 by subtracting from each term.
[] distributed the 3 by dividing each term.
The expression that is equivalent to 6 + 8x is:
[] 2(3 + 8x)
[] 2(6 +4x)
[] 2(3 + 4x)
[] 6(1 +8x)
[] 8(6 +x)
Distributed the 3 by subtracting from each term.
2(3 + 4x)