What should be added to 3 to make the sum 0? (1 point)
−3
−2
0
3
3 answers
-3
Which two temperatures have a sum of 0 degrees Celsius? (1 point)
2 degrees Celsius and −2 degrees Celsius
2 degrees Celsius and 2 degrees Celsius
−2 degrees Celsius and −2 degrees Celsius
2 degrees Celsius and 0 degrees Celsius
3.
(01.01 LC)
A football player took forward and backward steps of equal length during a play. After taking 14 steps total, he was back at his starting position. How many steps did the football player take in the forward and backward directions? (1 point)
6 steps forward and 8 steps backward
7 steps forward and 7 steps backward
8 steps forward and 6 steps backward
5 steps forward and 9 steps backward
4.
(01.01 LC)
Where is the answer to the expression 5 − 9 located on a horizontal number line? (1 point)
9 units to the left of 5
9 units to the right of 5
4 units to the right of 5
4 units to the left of 5
5.
(01.01 MC)
Which number line shows the solution to 5 + (−5)? (1 point)
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 5 is shown. Above this, another arrow pointing from negative 5 to negative 10 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to 5 is shown. Above this, another arrow pointing from 5 to 10 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 5 is shown. Above this, another arrow pointing from negative 5 to 5 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to 5 is shown. Above this, another arrow pointing from 5 to 0 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
6.
(01.01 MC)
Why is 1 + (−5) equal to −4? (1 point)
Because it is 5 units to the right of 1 on a horizontal number line
Because it is 5 units to the left of 0 on a horizontal number line
Because it is 5 units to the right of 0 on a horizontal number line
Because it is 5 units to the left of 1 on a horizontal number line
7.
(01.02 MC)
Which number line shows the solution to −6 − (−2)? (1 point)
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 8 is shown.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 4 is shown.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 8 is shown.
8.
(01.02 MC)
Which statement best explains the value of 12 − (−4)? (1 point)
The additive inverse of −4 is −4, so 12 − (−4) = 16.
The additive inverse of −4 is −4, so 12 − (−4) = 8.
The additive inverse of −4 is +4, so 12 − (−4) = 8.
The additive inverse of −4 is +4, so 12 − (−4) = 16.
9.
(01.02 MC)
Point A is located at negative 4 over 6 and point B is located at negative 1 over 6 . What is the distance between points A and B? (1 point)
negative 4 over 6 minus negative 1 over 6 = negative 3 over 6 ; therefore, the distance from A to B is absolute value of negative 3 over 6 equals negative 3 over 6 units
negative 4 over 6 minus negative 1 over 6 = negative 3 over 6 ; therefore, the distance from A to B is absolute value of negative 3 over 6 equals 3 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6 ; therefore, the distance from A to B is absolute value of negative 5 over 6 equals 5 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6 ; therefore, the distance from A to B is absolute value of negative 5 over 6 equals negative 5 over 6 units
10.
(01.02 MC)
Tessa had $35. She bought a book for $7 and a magazine for $5. Which expression correctly shows the total money Tessa has left? (1 point)
A
$35 − (−$7) + (−$5)
B
$35 + (−$7) − (−$5)
C
$35 + (−$7) + (−$5)
D
$35 − (−$7) − (−$5)
A
B
C
D
11.
(01.02 LC)
Simplify 8 − (14). (1 point)
−22
−6
6
22
12.
(01.02 HC)
Jim is showing his work in simplifying (−8.5 + 6.1) − 1.3.
Step 1: (6.1 − 8.5) − 1.3
Step 2: 6.1 − (8.5 + 1.3)
Step 3: 6.1 − (9.8)
Step 4: 1.1
Which statement is true? (1 point)
In step 1, Jim used the associative property.
In step 2, Jim used the distributive property.
In step 3, Jim used the commutative property.
In step 4, Jim's answer is incorrect.
13.
(01.04 LC)
Solve (−5) ⋅ (−3). (1 point)
−15
−8
8
15
14.
(01.04 MC)
The temperature is changing every day by negative 3 over 16 degrees Fahrenheit. What will be the change in the temperature after 4 days? (1 point)
negative 64 over 3 degrees Fahrenheit
negative 3 over 4 degrees Fahrenheit
3 over 64 degrees Fahrenheit
3 over 4 degrees Fahrenheit
15.
(01.04 MC)
Simplify the following expression: (−3)(−2)( −2) (1 point)
−12
12
−18
18
16.
(01.05 LC)
Which fraction is equivalent to negative 2 over 3 ? (1 point)
2 over negative 3
negative 3 over 2
negative 2 over negative 3
2 over 3
17.
(01.05 MC)
The total temperature change over 3 days in Gritty City was −6 degrees Celsius.
What was the average temperature change each day? (1 point)
−3 degrees Celsius
−2 degrees Celsius
2 degrees Celsius
3 degrees Celsius
18.
(01.05 MC)
The total charge on 8 particles is −56 units. All the particles have the same charge.
What is the charge on each particle? (1 point)
8 units
7 units
−7 units
−8 units
2 degrees Celsius and −2 degrees Celsius
2 degrees Celsius and 2 degrees Celsius
−2 degrees Celsius and −2 degrees Celsius
2 degrees Celsius and 0 degrees Celsius
3.
(01.01 LC)
A football player took forward and backward steps of equal length during a play. After taking 14 steps total, he was back at his starting position. How many steps did the football player take in the forward and backward directions? (1 point)
6 steps forward and 8 steps backward
7 steps forward and 7 steps backward
8 steps forward and 6 steps backward
5 steps forward and 9 steps backward
4.
(01.01 LC)
Where is the answer to the expression 5 − 9 located on a horizontal number line? (1 point)
9 units to the left of 5
9 units to the right of 5
4 units to the right of 5
4 units to the left of 5
5.
(01.01 MC)
Which number line shows the solution to 5 + (−5)? (1 point)
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 5 is shown. Above this, another arrow pointing from negative 5 to negative 10 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to 5 is shown. Above this, another arrow pointing from 5 to 10 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 5 is shown. Above this, another arrow pointing from negative 5 to 5 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to 5 is shown. Above this, another arrow pointing from 5 to 0 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
6.
(01.01 MC)
Why is 1 + (−5) equal to −4? (1 point)
Because it is 5 units to the right of 1 on a horizontal number line
Because it is 5 units to the left of 0 on a horizontal number line
Because it is 5 units to the right of 0 on a horizontal number line
Because it is 5 units to the left of 1 on a horizontal number line
7.
(01.02 MC)
Which number line shows the solution to −6 − (−2)? (1 point)
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 8 is shown.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 4 is shown.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 8 is shown.
8.
(01.02 MC)
Which statement best explains the value of 12 − (−4)? (1 point)
The additive inverse of −4 is −4, so 12 − (−4) = 16.
The additive inverse of −4 is −4, so 12 − (−4) = 8.
The additive inverse of −4 is +4, so 12 − (−4) = 8.
The additive inverse of −4 is +4, so 12 − (−4) = 16.
9.
(01.02 MC)
Point A is located at negative 4 over 6 and point B is located at negative 1 over 6 . What is the distance between points A and B? (1 point)
negative 4 over 6 minus negative 1 over 6 = negative 3 over 6 ; therefore, the distance from A to B is absolute value of negative 3 over 6 equals negative 3 over 6 units
negative 4 over 6 minus negative 1 over 6 = negative 3 over 6 ; therefore, the distance from A to B is absolute value of negative 3 over 6 equals 3 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6 ; therefore, the distance from A to B is absolute value of negative 5 over 6 equals 5 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6 ; therefore, the distance from A to B is absolute value of negative 5 over 6 equals negative 5 over 6 units
10.
(01.02 MC)
Tessa had $35. She bought a book for $7 and a magazine for $5. Which expression correctly shows the total money Tessa has left? (1 point)
A
$35 − (−$7) + (−$5)
B
$35 + (−$7) − (−$5)
C
$35 + (−$7) + (−$5)
D
$35 − (−$7) − (−$5)
A
B
C
D
11.
(01.02 LC)
Simplify 8 − (14). (1 point)
−22
−6
6
22
12.
(01.02 HC)
Jim is showing his work in simplifying (−8.5 + 6.1) − 1.3.
Step 1: (6.1 − 8.5) − 1.3
Step 2: 6.1 − (8.5 + 1.3)
Step 3: 6.1 − (9.8)
Step 4: 1.1
Which statement is true? (1 point)
In step 1, Jim used the associative property.
In step 2, Jim used the distributive property.
In step 3, Jim used the commutative property.
In step 4, Jim's answer is incorrect.
13.
(01.04 LC)
Solve (−5) ⋅ (−3). (1 point)
−15
−8
8
15
14.
(01.04 MC)
The temperature is changing every day by negative 3 over 16 degrees Fahrenheit. What will be the change in the temperature after 4 days? (1 point)
negative 64 over 3 degrees Fahrenheit
negative 3 over 4 degrees Fahrenheit
3 over 64 degrees Fahrenheit
3 over 4 degrees Fahrenheit
15.
(01.04 MC)
Simplify the following expression: (−3)(−2)( −2) (1 point)
−12
12
−18
18
16.
(01.05 LC)
Which fraction is equivalent to negative 2 over 3 ? (1 point)
2 over negative 3
negative 3 over 2
negative 2 over negative 3
2 over 3
17.
(01.05 MC)
The total temperature change over 3 days in Gritty City was −6 degrees Celsius.
What was the average temperature change each day? (1 point)
−3 degrees Celsius
−2 degrees Celsius
2 degrees Celsius
3 degrees Celsius
18.
(01.05 MC)
The total charge on 8 particles is −56 units. All the particles have the same charge.
What is the charge on each particle? (1 point)
8 units
7 units
−7 units
−8 units
The charge on each particle is -7 units (negative 7 units).