6th Grade Topic 4 Review

6th Grade Topic 4 Review

Multiple Choice

A scuba diver dives 50 feet below sea level. A mountain climber climbs 750 feet. Which numbers represent these distances as integers?

• 50 and 750

• -50 and -750

• -50 and 750

• 50 and -750

Multiple Choice

Which situation results in a change of zero?

• Abby owes her friend $5 and then borrows another $5

• A bowl of soup is heated to 120^oF and is cooled to 72^oF

• A mountain climber ascends 50 feet and then has to descend 50 feet.

• A runner starts 10 yards behind the starting line and runs 20 yards.

Multiple Choice

Which of these situations can be represented by a positive integer?

• Earning $20

• 32 degrees below zero

• 50 feet below sea level

• A plane descending 1000 ft.

Multiple Choice

A gopher builds a hill that is 2 ft high above ground, and then burrows 5 feet underground. Ground level is represented by which number?

• -5

• 2

• 0

• -3

Fill in the Blank

What is the opposite of point a?

Fill in the Blank

Which point represents the opposite of A?

The Coordinate Plane

• Split into 4 quadrants

• x-axis and y-axis meet at the origin (0,0)

• Ordered pairs written as (x,y)

To plot and identify points:

• Start at the origin

• The x-coordinate tells you how many units to count on the x-axis (left or right)

• The y-coordinate tells you how many units to count on the y-axis (up or down)

Multiple Choice

Denver is in which quadrant?

• 1

• 2

• 3

• 4

Multiple Choice

Which city is in quadrant 3?

• Denver

• Phoenix

• Seattle

• Atlanta

Multiple Choice

Dallas is located at which point?

• (2,4)

• (-2,4)

• (-2,-4)

• (2,-4)

Multiple Choice

(-3,-5) is located in which quadrant?

• 1

• 2

• 3

• 4

Multiple Choice

(2,3) is located in which quadrant?

• 1

• 2

• 3

• 4

Multiple Choice

(3,-7) is located in which quadrant?

• 1

• 2

• 3

• 4

Reflecting Points

• To reflect over the x-axis, the x-coordinate stays the same, y-coordinates become opposites

• To reflect over the y-axis, the y-coordinate stays the same, x-coordinates become opposites

Multiple Choice

If point E is reflected over the x-axis, what will be the coordinates of the reflection of E?

• (2,5)

• (2,-5)

• (5,-2)

• (-5,-2)

Multiple Choice

What will be the coordinates of B if its reflected over the y-axis?

• (3,2)

• (-3,2)

• (2,3)

• (-3,-2)

Ordering numbers

• The further a number is to the right on the number line, the bigger it is.

• The further a number is to the left on the number line, the smaller it is

Multiple Choice

Which of the following is true

• $-6<-3$

• $-6>-3$

• $-6=-3$

Multiple Choice

The temperature on Monday was -3^oF, Tuesday was -8^oF, and Wednesday was 2^oF. Which day had the highest temperature?

• Monday

• Tuesday

• Wednesday

Multiple Choice

What is the absolute of value of 10? What is the absolute of value of -10?

• -10,-10

• -10,10

• 10,10

• 10,-10

Multiple Choice

Jake's bank account balance is -$200. Amy's is -$50, and Rosa's is -$100. Who has the greatest debt?

• Jake

• Amy

• Rosa

Distance

• To find the distance between two points, count the units between them

• The distance between points A and B is 4 units

• The distance between C and D is 5 units

Distance (cont.)

• If you are not given a graph, add the absolute values of the coordinate that changes

• Ex: (3,2) and (-6,2). The y-coordinate remains the same (2). Add the absolute values of the x-coordinates --> |3|+|-6|= 3+6 = 9

• Ex: (4,2) and (4,-5). The x-coordinate remains the same (4). Add the absolute values of the y-coordinates --> |2|+|-5|= 2+5 = 7

Multiple Choice

The distance between the two points is:

• -5

• -3

• 5

• 2

Fill in the Blank

The distance between the two points is:

Multiple Choice

What is the distance between (-5,7) and (6,7)

• |-5| +|6|

• -5 + 6

• |-5| - |6|

• 14