Show:
6.NS.1
Positive and Negative Integers
6.NS.2
Explain Opposite and what 0 is
6.NS.3
Compare and order Integers on a number line
6.NS.4
Solve Real world problems with Fractions and decimals
6.NS.5
Order of operations
6.NS.6
Greatest Common Factor & Least Common Multiple
6.RP.1
Convert between Fractions, Decimals, Percents
100


Chicago, Illinois has an elevation of 600 feet above sea level.  

Seeley, California is located below sea level.

Select all values that could represent the location of Seeley.

  1.  -0.5 ft.

  1.  0.5 ft.

  1.  0 ft.

  1.  12.5 ft.

  1.  -12.5 ft.


1) -.5ft

5) -12.5ft

100

A number line is given.

Plot a number and its opposite 2 units from 0.

100

On a horizontal number line, -33/4 is to the left of -6.34.

Write an inequality to represent this statement.




Answer: -33/4 < -6.34 OR -6.34 > -33/4

100

Lisa is buying apples. Each apple costs $0.75. Lisa buys 8 apples. How much will she spend in total?

  1. $8.75

  2. $6.00

  3. $0.60

  4. $5.80


2. $6.00

100

Solve.




Answer: 23.75

100


What is the greatest common factor of 15 and 20?




Answer: 5

100


What is 0.125 written as a percent?




Answer: 12.5%

200

The cost of a bicycle was reduced by $23.57. Write the rational number to represent this reduction.



Answer: -23.57

200

What is the opposite of -7.52?

Answer: 7.52

200

Select the list that shows the numbers order from greatest to least.

  1. -2 1/4, -15/2, -1.6, 4, 22/6

  2. -15/2, -2 1/4, - 1.6, 22/6, 4

  3. 22/6, 4, -1.6, -2 1/4, -15/2

  4. 4, 22/6, -1.6, -2 1/4, -15/2


4. 4, 22/6, -1.6, -2 1/4, -15/2

200

Jack is baking cookies. 

  • The recipe requires 3/4 cup of sugar.

  • Jack wants to double the recipe.

  • Jack has 1 1/3 cup of sugar.

After doubling the recipe, Jack realizes he does not have enough sugar.

How much more sugar does Jack need? 




Answer: 2/12 or 1/6 cup

200

Solve.




Answer: 3/50

200


What is the least common multiple of 7 and 12?




Answer: 84

200


What is the equivalent decimal to 8/11?




Answer:

300


Shawn has $25 in his bank account. He deposits his paycheck into his account.


Which number line models the possible amount in his bank account after his deposit?




A

300

Which number represents the opposite of the opposite of -1/8?

  1. -8

  2. -1/8

  3. 1/8

  4. 8


2. -1/8

300

Penny keeps track of the money that she puts into and takes out of her bank account each month.

The table shows the total money in her account at the end of each month.


Write an inequality that compares Penny’s highest monthly account amount with her lowest monthly account amount.





Answer: 20.34 > -4.82 OR -4.82 < 20.34

300

Emily is planning a road trip. She estimates that her car uses 0.35 gallons of gas per mile. The total distance for her trip is 120.5 miles.

Part A: How many gallons of gas will Emily need for the entire trip?

Part B: If gas costs $3.75 per gallon, how much will she spend on gas for the trip?



Part A: 42.175 gallons

Part B: $158.16

300

Solve.

426 - 6(14 + 72  8 - 4 + 3)




Answer: 294

300


Use the distributive property to write an equivalent expression to 36 + 8.





Answer: 4(9 + 2) OR 2(18 + 4)

300


Select the two values that are equivalent to 60%.


  1. 1/6

  2. 3/5

  3. 6/1

  4. 0.6

  5. 0.06


2. 3/5

4. 0.6

400

Chicago, Illinois has an elevation of 600 feet above sea level.  

The elevation of Seeley, California is -200 feet.

Select the TWO true statements.+

  1. Seeley is above sea level.

  1. Seeley is at sea level.

  1. Seeley is below sea level.

  1. The difference in elevations is less than 600 feet.

  1. The difference in elevations is 600 feet.

  1. The difference in elevations is more than 600 feet.


3. Seely is below sea level

6. The difference in elevations is more than 600 feet

400

Select three statements that correctly explain the locations of -21 and 21 on a number line.

  1. 21 is located 21 units to the left of 0.

  2. 21 is located 21 units to the right of 0

  3. -21 is located 21 units to the left of 0.

  4. -21 is located 21 units to the right of 0.

  5. Both numbers are 21 units away from 0 in opposite directions.

  6. Both numbers are 42 units away from 0 in the same direction.


2. 21 is located 21 units to the right of 0

3. -21 is located 21 units to the left of 0

5. Both numbers are 21 units awa from 0 in opposite directions

400

A hiker climbs a difficult trail in a national park. The trail crosses high places and deep valleys. The hiker keeps track of his elevation at several stops along the trail. 

Write an inequality that compares the hiker’s highest elevation with his lowest elevation on the trip. 






Answer: 316 > -20  OR  -20 < 316

400

Three classes sell raffle tickets. Each class keeps half the money they raise.

  • The three classes sold a total of 5,773 tickets.

  • Each ticket cost $0.75.

What is the total amount of money all three classes keep?




Answer: $2,164.88

400

Select three expressions that are equivalent to

 (14 - 8) x 4 x 9.

  1. 6 x 36

  2. 54 x 4

  3. 10 x 9

  4. 24 x 9

  5. 28 x 9


1. 6 x 36

2. 54 x 4

4. 24 x 9 

400

Last summer, Karl and Annie went to the beach.

  • Karl went to the beach every 7 days.

  • Annie went to the beach every 3 days.    
  • How many days passed until they saw each other at the beach?


Answer: 21 days

400


Select two values that are equivalent to 7/8.


  1. 0.8

  2. 0.875

  3. 8.75%

  4. 87.5%

  5. 875%


2. 0.875

4. 87.5%

500

Marco and his friend play a game. After each round, Marco records the change in his score. 

  • Marco begins the game at 0 points. 

  • He increases his score by two points at the end of Round 1.


  • Which statement is true?

    1. Marco's score decreased by 3 points at the end of Round 5.

    2. Marco's score increased at the end of Round 2.

    3. Marco's score did not change at the end of Round 4.

    4. Marco's total score is 3 points at the end of the Round 5.

3. Marco's score did not change at the end of round 4

500

Which of the following represents the opposite of the opposite of -b?

  1. b

  2. 0

  3. -b

  4. -(-b)

3. -b

500

Sarah claims that -72 is greater than -71.99.

Jackson claims -71.99 is greater than -72.

Identify which student is correct and explain your reasoning.



Answer: Jackson as correct. 

500

Liam is planning to buy some snacks for a movie night with his friends. 

  • He has a budget of $25. 

  • A bag of chips costs $2.75 and a bottle of soda costs $1.50. 

  • Liam buys 6 bags of chips and 8 bottles of soda. 

He argues that he will stay within his budget because:

The total cost of the chips is $16.50 (6 bags x $2.75 per bag).

The total cost of the soda is $12.00 (8 bottles x $1.50 per bottle).

Therefore, the total cost is $28.50, which is within his $25 budget.

Evaluate Liam’s reasoning. Is Liam’s conclusion correct? If not, identify any errors in his reasoning and provide the correct solution.



Liam’s solution is not correct. Liam correctly calculates the cost of the chips (6 x $2.75) and the cost of the soda (8 x $1.50). Liam correctly added the cost of the items $12.00 + $16.50 = $28.50. Liam was incorrect that he will stay within his budget because $28.50 is greater than $25.

500

Place one set of parentheses in the equation to make it true.





Answer: 

500

Sara is making bouquets of flowers.

  • She has 16 red flowers.

  • She has 24 yellow flowers.

  • She wants to put the same number of flowers in each bouquet.

What is the greatest number of bouquets Sara can make?




Answer: 8 bouquets

500

Two students are asked to convert the fraction 5/6 to a decimal.

Student 1 says 5/6 is equivalent to 5.6.

Student 2 says 5/6 is equivalent to

Determine which student’s conversion is correct and explain your answer.




Answer: Student 2 is correct.