Write an integer to represent each situation:
a) A temperature rise of 15 degrees Fahrenheit
b) A gain of 55 yards
c) A loss of 10 pounds
d) A withdrawal of $2,000
a) 15
b) 55
c) -10
d) -2,000
100
Order the following from least to greatest: -8, -19, 0, 1/2, 1/4
-19, -8, 0, 1/4, 1/2
100
Write a definition of absolute value, and find the absolute value of -13
Absolute value is the distance a number is from zero. The absolute value of -13 is 13.
100
Write ordered pairs that represent the location of points. SEE DOCUMENT
A (4,1) B (1, -3) C (6,0) D (1,4)
200
Write the integer that represents the opposite of each real-world situation:
a) An atom’s positive charge of 7
b) A deposit of $25
c) 3,500 feet below sea level
d) A rise of 45℃
e) A loss of 13 pounds
a) -7
b) -25
c) 3,500
d) -45
e) 13
200
Fill in the blanks with numbers that correctly complete each of the statements (SEE DOCUMENT)
a) Three integers between −4 and 0
b) Three rational numbers between 16 and 15
a) -3<-2<-1
b) 15.5<15.6<15.7
200
Which has the greater magnitude? (Use absolute value to
defend your answers.)
a) 33 dollars and −52 dollars
b)−14 feet and 23 feet
a) -52 dollars (absolute values: 33<52)
b) 23 feet (absolute values: 14<23)
200
Name the quadrant in which each of the points lies. If the point does not lie in a quadrant, specify which axis the
point lies on.
a) (-2,5)
b) (8,-4)
c) (-1, -8)
d (9.2, 7)
e) (0,-4)
a) Q2
b Q4
c) Q3
d) Q1
e) Lies on the y-axis
300
Jill deposited $700. Right after she realized she needed the money to buy something, so she withdrew $700. Locate and label both points that represent “deposit of 700” and “a withdrawal of $700” on the number line below. Make sure you choose an appropriate scaled.
Ms. Higgins checks number line.
300
Fill in the blanks with numbers that correctly complete each of the statements. (SEE DOCUMENT)
a) Three rational numbers between −1 and −2
b) Three integers between 2 and −2
a) -1.8<-1.7<-1.6
b) -1<0<1
300
Which has the greater magnitude? (Use absolute value to
defend your answers.):
a) −24.6 pounds and −24.58 pounds
b) −11 1/4 degrees and 11 degrees
a) -24.6 (absolute values: 24.58<24.6)
b) -11 1/4 (absolute values: 11<11 1/4
300
Find the length of the line segment with end points (7, 2) and (−4, 2)
11 units
400
Joe is at the ice cream shop, and his house is 10 blocks north of the shop. The park is 12 blocks south of the
ice cream shop. Draw a number line to model this situation. When he is at the ice cream shop, is Joe closer to the park or his house? How could the number zero be used in this situation?
Joe is closer to his house
400
SEE DOCUMENT
-1.4<0.3<0.5
0.5>0.3>-1.4
400
During the summer, Madison monitors the water level in her parents’ swimming pool to make sure it is not too far
above or below normal. The table below shows the numbers she recorded in July and August to represent how the
water levels compare to normal. Order the rational numbers from least to greatest. (SEE DOCUMENT)
-1 1/4 <-3/4 <-1/2 <-3/8 < 1/8 <1/4 <1/2
400
The length of a line segment is 12 units. One end point of the line segment is (−2, 9). Find four points that could
be the other end points of the line segment.
(-2, 21) (-3, -3) (10, 9) (-14, 9)
500
Write the integer that represents the statement. Locate and label each point on the number line below.
a) The opposite of a gain of 6
b) The opposite of a deposit of $10
c) The opposite of the opposite of 0
d) The opposite of the opposite of 4
e) The opposite of the opposite of a loss of 5
a) -6
b) -10
c) 0
d) 4
e) -5
Ms. Higgins checks number lines
500
Sam looked at two points that were graphed on a vertical number line. He saw the points −2 and 1.5. He wrote the
following description:
“I am looking at a vertical number line that shows the location of two specific points. The first point is a negative
number, so it is below zero. The second point is a positive number, so it is above zero. The negative number is -2. The positive number is 1/2 unit more than the negative number.”
State whether the claim is true or false. If true, explain why it is true. If false, explain why is false and correct it.
False. -1.5 would be 1/2 unit more than -2. 1.5 is 3 1/2 units more than -2.
500
The fuel gauge in Nick’s car says that he has 36 miles to go until his tank is empty. He passed a fuel station 21 miles ago, and a sign says there is a town only 7 miles ahead. If he takes a chance and drives ahead to the town and there isn’t a fuel station there, does he have enough fuel to go back to the last station? Include a diagram along a number line, and use absolute value to find your answer.
Yes he does have enough. If he drive to the town (7 miles) and then turns around and drives to the fuel station (7 miles +21 miles) he has driven 7+7+21 = 35 miles. He is able to drive 36 miles until he runs out of gas.
500
Two of the vertices of a rectangle are (1, −6) and (−8, −6). If the rectangle has a perimeter of 26 units, what are
the coordinates of its other two vertices?