Download Part B

6th Grade Math Study Guide
1. Emma wrote the opposite of the number −8 . What number did Emma write?
2. Drag (write) each number to its location on the number line.
-3.5
3.5
-2
2
3. Erik placed numbers a, b, and c on this number line.
Part A
Erik incorrectly states that b and c are both opposites of a, because b and c are both on the
opposite side of zero from a.
Use the drop-down menus to explain why Erik is incorrect.
Numbers are opposites when they are
in
Choose...
A number
Part B
Choose...
distances from zero and
from zero on a number line.
Choose...
has more than one opposite.
Erik's friend draws a second number line to help him understand opposites. Plot the opposite of
b and the opposite of the opposite of c on the number line.
0
4. Write a positive or negative number to represent each situation.
Situation
Number
50 feet below sea level
feet
winning $100 in a contest
$
a loss of 10 yards
yards
20 degrees below 0°F
°F
5. Fiona says there is only one number that is its own opposite. Which number is this?
−1
−1/2
0
1
6. Graph the ordered pairs on the coordinate plane. Use the Point tool.
A(3, 2)
D(4, 3)
B(–5, 2)
E(–4, 0)
C(–1, –4)
F(2, –4)
7. Use the drop-down menus to describe the signs or values of the x- and y-coordinates of any
point at each location on the coordinate grid.
x-coordinate
y-coordinate
Quadrant I
Choose...
Choose...
Choose...
Choose...
Choose...
Choose...
Quadrant II
Quadrant III
Quadrant IV
Choose...
Choose...
Choose...
Choose...
Choose...
Choose...
Choose...
Choose...
x-axis
y-axis
origin
8. Paul is creating a map of his town on a coordinate plane, where each unit represents 1 block.
He will include the following locations on his map.
Location
Paul's house
Store
Pond
Theater
Bank
Coordinates
(4, 0)
(–3, 0)
(1, 0)
(–3, 1)
(–2, –4)
Part A
Graph each of the locations on the coordinate plane. Use the Point tool.
Part B
Paul wants to add the town's statue to his map. The statue is located 2 blocks to right of the
origin, and 4 blocks down from the origin.
What is the location of the statue?
(–2, –4)
(–2, 4)
(2, –4)
(2, 4)
9. Look at this list of points.
A(3, –4), B(–5, 1), C(0, –4), D(4, 4), E(–2, 0), F(–4, 4)
Determine whether each statement about the points is correct.
Select True or False for each statement.
Point A is located in Quadrant IV.
Point C and point F are directly across the x-axis from each other and are the
same distance from the x-axis.
Point E is located in both Quadrant II and Quadrant III.
Point B is located in Quadrant III.
Point D and point F are directly across the y-axis from each other and are the
same distance from the y-axis.
True
False
True
False
True
False
True
False
True
False
10. Shauna wants to give information about the coordinates of two points on a coordinate graph
based on descriptions of their locations.
Use the drop-down menus to complete an explanation for Shauna.
If the points are directly across the x-axis from each other and the same distance from the
Choose...
, then the
Choose...
are opposites.
If the points are directly across the y-axis from each other and the same distance from the
Choose...
, then the
Choose...
are opposites.
11. The deepest that a submarine can go under normal conditions is −1,300 feet. The depth at
which water pressure will damage the submarine is −1,950 feet.
Which depth is greater? Write an inequality to compare −1,300 and −1,950.
12. The table shows the record low temperatures for five states.
State
Colorado
Hawaii
Florida
Montana
Mississip
Temperature (in °F)
−61
15
−2
−70
−19
Which list is ordered from greatest to least temperature?
−70, −61, −19, −2, 15
15, −2, −19, −61, −70
−70, −61, −19, 15, −2
15, −70, −61, −19, −2
13. The letters r, s, and t represent integers, where t > r, r > s, s < 0, and s > –r.
Drag each letter to its correct location on the number line.
0
R
S
T
14. Elinor and her cousins play a game. They draw cards that have positive and negative
numbers on them. Each player starts at 0 . A positive number means to move forward, and a
negative number means to move backward. The table shows the cards they drew in three rounds.
Josh Cathy Elinor
Round 1 −6
−4
6
Round 2 −3
2
−2
Round 3 1
−7
3
Part A
Elinor says she moved the farthest from the starting point for Round 1.
Use the drop-down menus to explain whether or not Elinor is correct.
Elinor is
Choose...
Elinor moved
value is
because 6 is
Choose...
Choose...
Choose...
on a number line.
in Round 1 because |6 is
Choose...
|−6 and this
|−4.
Part B
After Round 3, Josh has moved a total of −8, Cathy has moved a total of −9, and Elinor has
moved a total of 7.
Drag the players' names to order them from closest to farthest distance from the starting point
after Round 3.
Cathy
Elinor
Josh
15. Jake draws the following cube.
Brittany draws a cube with a side length that is 2 units greater than the side length of Jake's
cube. Michael draws a cube with a side length that is 1/3 the side length of Brittany's cube.
Determine whether each expression represents the volume, in cubic units, of Michael's cube.
Select Yes or No for each expression.
(1 (4×2))
Yes
No
3
2×2×2
Yes
No
(10)
3
8
Yes
No
Yes
No
(4 + 2 )
3
8 /3 × 8/ 3 × 8/ 3
Yes
No
Yes
No
16. What is the value of (1/3) ?
1/81
1/12
4/12
4/3
17. Kim is studying a bacteria sample that triples its mass every day. At the end of day 1 of her
study, the sample has a mass of 3 milligrams.
Part A
What is the mass of the bacteria sample after 5 days of study?
Drag each expression into the correct box of the table.
Represents the mass, in milligrams, of the sample
after 5 days
3
5
Does not represent the mass, in milligrams, of the
sample after 5 days
3x5
18. What is the value of n in the equation 1/3n=9 ?
3x3x3x3x3
n= ___
5x5x5
19. Myra's older brother, Joe, works part time at a store where he earns $645.60 each month.
What expression could be used to find the amount Joe earns working any number of months, m?
20. Jessie and Charlie are walking on a beach. Charlie walks 2.3 kilometers farther than Jessie.
Part A
Write an equation for the number of kilometers Jessie walks, j , if Charlie walks
4.2 kilometers.
Write an equation for the number of kilometers Charlie walks, c , if Jessie walks
3.9 kilometers.
Equation for the number of kilometers Jesse walks: _____________________
Equation for the number of kilometers Charlie walks: ___________________
Correct answers:
Part B
Use the drop-down menus to show the distances Jessie and Charlie walk.
If Charlie walks 4.2 kilometers, then Jessie walks
Choose...
kilometers.
If Jessie walks 3.9 kilometers, then Charlie walks
Choose...
kilometers.
21. Myra's older brother, Joe, works part time at a store where he earns $645.60 each month.
What expression could be used to find the amount Joe earns working any number of months, m ?
22. Meiko buys 4 packs of markers that each cost the same price. Each pack of markers is
discounted by $0.75. Write an expression that could be used to determine the total amount
Meiko spends on markers. Let m represent the original price for one pack of markers.
23. Consider the expression 5(3+6). Which statements are true about this expression? Select all
that are correct.
One factor is 3.
The expression has three factors.
One factor is equal to 9.
The expression is the product of two factors.
One factor has two terms.
One factor is the difference between 6 and 3.