You knew I was a mastermind
Blank Space
It was all by design
I wish you would
Shake it off
100
Identify the integer that represents an elevation of 150 meters below sea level.
-150 meters
100
What is the absolute value of -10?
10
100
Explain why 0 is considered its own opposite.
Zero is considered its own opposite because it has no value or direction. In the context of integers, the opposite of a number is defined as the value that, when added to the original number, results in zero.
100
Which list is in order from least to greatest?
a.) 0, |10|, -20, |-40|, 50 c.) -20, |10|, 0, |-40|, 50
b.) -20, 0, |10|, |-40|, 50 d.) |-40|, -20, 0, |10|, 50
b.) -20, 0, |10|, |-40|, 50
100
It is known that M > 1 and N < 1. Which statement must be true?
a.) M < N c.) M < 0
b.) M > N d.) N > 0
b.) M > N
200
The freezing point of water is 0°C. Which temperature is 10 below the freezing point of water?
a.) 10°C c.) -10°C
b.) 100°C d.) -100°C
c.) -10°C
200
If a temperature is -20°C, what is the absolute value of that temperature?
20°C
200
What is the opposite of the opposite of 3?
The opposite of 3 is -3. When you take the opposite of -3, you get back to the original number, which is 3.
200
What is the distance a number is from zero on a number line called?
Absolute Value
Ex. |4|=4
200
The letter X is located to the right of the letter Y on a horizontal number line. Which statement must be true?
a.) X < Y c.) X < 0
b.) X > Y d.) X > 0
b.) X > Y
300
Antonio's account had a $5 balance before he went to the bank to make a deposit. What is his balance after putting $25 into his account?
$30
300
Explain what |3| means in terms of distance from zero.
It means that 3 is exactly 3 units away from zero, regardless of the direction on the number line.
300
Explain what 0 represents in terms of positive and negative numbers.
Zero represents a neutral point on the number line, acting as the dividing line between positive and negative numbers.
Zero itself does not have a positive or negative value; it signifies a state of balance or absence.
Zero serves as the crucial reference point that helps us understand and compare positive and negative values in various contexts.
300
Point P is plotted in the graph shown.
Which coordinate pair lists the correct values for P?
a.) (-2, 4) c.) (4, -2)
b.) (-5, 4) d.) (4, -5)
c.) (4, -2)
300
The letter Z lies on a number line between -5 and 5. Which statement must be true?
a.) Z < 5 c.) Z < 0
b.) Z > 5 d.) Z > 0
a.) Z < 5
400
A point is plotted on the number line, as shown.
Which number is less than the plotted point on the number line?
a.) -3/5 c.) -11/3
b.) -7/4 d.) -12/5
c.) -11/3
400
Before a race, Benjamin is 50 meters behind the starting line. Then he walks 20 meters towards the starting line. Which expression describes Benjamin's position relative to the starting line?
a.) |50 + 20| c.) -|50 + 20|
b.) |-50 - 20| d.) |-50 + 20|
d.) |-50 + 20|
400
Is -(-5) equal to 5 or -5? Explain why.
The negative sign before the parentheses indicates that we are taking the opposite of −5.
The opposite of a negative number is its positive counterpart. Therefore, when you negate −5, you change it to its opposite, which is 5.
In mathematical terms:
−(−5)=5
This illustrates the property of opposites: negating a negative number results in a positive number. Thus, −(−5) is equal to 5.
400
Which procedure describes correctly how to graph the ordered pair (-2,3) on the coordinate plane?
a.) Starting from the origin, move 2 units left and move 3 units up.
b.) Starting from the origin, move 2 units right and move 3 unit up.
c.) Starting from the origin, move 2 units left and move 3 units down.
d.) Starting from the origin, move 2 units right and move 3 units down.
a.) Starting from the origin, move 2 units left and move 3 units up.
400
Which statement correctly explains why a temperature of 3 degrees below 0 is warmer than a temperature of 7 degrees below 0?
a.) -3 is less than -7 c.) -3 is equal to -7
b.) -3 is not equal to -7 d.) -3 is greater than -7
d.) -3 is greater than -7
500
Which number is closest to 0 on a number line?
a.) -|0.32| c.) |-0.41|
b.) -|-1.25| d.) 1.3
a.) -|0.32|
500
Which of the following expressions has the greatest value?
a.) |-9| - 4 c.) |-5| x 2
b.) |6| + |-2| d.) |3| x 3
c.) |-5| x 2
500
Analyze the statement "the opposite of an opposite is the original number." Provide an example and explain its significance in understanding integers.
Answers will vary.
500
Points R and T are plotted on the number line shown.
Which statement correctly explains the relationship between R and T?
a.) R is less than T, because R is to the left of T on the number line.
b.) T is less than R, because T is to the right of R on the number line.
c.) R is greater than T, because the number line extends to the left and right of R.
d.) T is greater than R, because the number line extends to the left and right of T.
a.) R is less than T, because R is to the left of T on the number line.
500
Which inequality includes both -17.5 and 34.3?
a.) -17 < x < 34 c.) -18 < x < 34
b.) -17 < x < 35 d.) -18 < x < 35
d.) -18 < x < 35