Which number below best represents a loss of $82.50?
A.
182.50
B.
-182.50
C.
-82.50
D.
82.50
C. -82.50
On Monday, Amber withdraws $30 from her bank account. This change in account balance can be represented as
.
On Tuesday, Amber makes no changes in her bank account. This change in account balance can be represented as
.
On Wednesday, Amber deposits $3 in her bank account. This change in account balance can be represented as
+. $3
On Monday, Amber withdraws $30 from her bank account. This change in account balance can be represented as
+$3
.
On Tuesday, Amber makes no changes in her bank account. This change in account balance can be represented as
0 (there is no change).
On Monday, Amber withdraws $30 from her bank account. This change in account balance can be represented as
+$3
.
On Tuesday, Amber makes no changes in her bank account. This change in account balance can be represented as
$0
.
On Wednesday, Amber deposits $3 in her bank account. This change in account balance can be represented as
+$3 (the account balance increases by $3).
Which of the following best represents a charge of 0?
The best representation of a charge of 0 is either "no change" or "+$0" because there is no change in the account balance. This could also be represented as "-$0", but typically charges are represented as negative numbers and a negative charge would be a decrease in the account balance.
Which of the following best represents a charge of 0?
A.
an atom with a negative charge
B.
an atom with no charge
C.
an atom with a positive charge
B. an atom with no charge.
Which number below best represents an elevation of eight hundred forty-two and two-fifths feet below sea level?
-842.4 feet
Which number best represents a temperature drop of eleven degrees?
A.
-1.1
B.
11
C.
1.1
D.
-11
D. -11
Which number below best represents a surplus of $223.90?
+223.90
Which number below best represents an elevation of two hundred fifty-five and one-fourth yards below sea level?
-255.25 yards
Which number below best represents a gain of $9.66?
A.
9.66
B.
-9.66
C.
19.66
D.
-19.66
A. 9.66
Which decimal below best represents an account balance of $321.45 below zero?
A.
-321.45
B.
-331.45
C.
331.45
D.
321.45
A. -321.45
Joan ran less than 32 miles last week. Which of the following inequalities represents the number of miles Joan ran last week?
A.
x > 32
B.
x < 32
C.
x = 32
B. x < 32
x y
4 20
9 45
11 55
16 80
According to the table above, which equation could be used to find the value of y in terms of x?
A.
y = 5x
B.
x = 5y
C.
x = 5 + y
D.
y = 5 + x
A. y = 5x
Which letter represents the opposite of 4 on the number line below?
W= -5, X= -4, Y= 0, Z= 4
A.
X
B.
W
C.
Z
D.
Y
C. Z
Plot and connect the points A(-1, -5), B(6, -5), C(6, 2), and D(-1, 2).
What is the difference between the length of BC and the length of AB?
A.
7 units
B.
5 units
C.
0 units
D.
2 units
C. 0 units
are you sure??
If a = 7 and b = 5, what is the value of the following expression?
4a + b
If a = 7 and b = 5, what is the value of the following expression?
4a + b
A.
33
B.
48
C.
28
D.
23
B. 48.
Explanation:
4a + b = 4(7) + 5
= 28 + 5
= 33
From the set {4, 5, 6, 7}, use substitution to determine which value of x makes the equation true.
6x = 30
A.
7
B.
4
C.
5
D.
6
C. 5
Explanation:
We can solve the equation 6x = 30 for x by dividing both sides by 6:
6x/6 = 30/6
x = 5
Therefore, x = 5 makes the equation 6x = 30 true.
What is the greatest common factor (GCF) of 40 and 56?
A.
4
B.
3
C.
9
D.
8
Carol's last credit card statement said that she had an account balance of -$102. Which of the following account balances represents a debt greater than Carol's?
A.
-$136
B.
-$68
C.
$136
D.
$68
A. -$136
1,012 ÷ 22
46 with a remainder of 20
Explanation:
When we divide 1,012 by 22 using long division, we get:
```
46
-------
22 | 1,012
88 |__
-------
202
198 |__
-------
4
```
Therefore, 1,012 divided by 22 is equal to 46 with a remainder of 4. The final answer can be expressed as a mixed number or as a decimal (46.1818...).
Chad recorded the temperature in Angelfire, New Mexico, at 9:00 a.m. on Monday and Tuesday. The temperatures are shown in the table below.
Monday Tuesday
-2°F -8°F
-2°F __ -8°F
Which symbol best describes the comparison of temperature on Monday and Tuesday?
A.
=
B.
<
C.
>
C. > (greater than)
Mrs. Jeanie recorded the number of questions skipped by her students on a science quiz in the dot plot below.
Which measure of center would be best to use to describe this distribution?
A.
mode
B.
mean
C.
range
D.
median
A. Mode
75.5 + 51.4
126.9
A packing operator can assemble 3 cardboard boxes in 7 minutes. At this rate, how many boxes can she assemble in 35 minutes?
Using proportion:
3 boxes / 7 minutes = x boxes / 35 minutes
Cross-multiplying:
7 minutes * x boxes = 3 boxes * 35 minutes
7x = 105
Dividing both sides by 7:
x = 15
Therefore, the packing operator can assemble 15 cardboard boxes in 35 minutes.
In the figure below, m = 5 in, n = 4 in, and p = 9 in.
What is the area of the parallelogram?
Note: Figure is not drawn to scale.
A.
45 sq in
B.
20 sq in
C.
36 sq in
D.
23 sq in
A. 45 sq in
Explanation:
The area of a parallelogram is given by the formula:
Area = base x height
In this case, the base is the length of the side given by n, and the height is the distance from n to the opposite side, which is given by m.
Therefore:
Area = n x m
Area = 4 in x 5 in
Area = 20 sq in
However, since the angle between sides n and m is not 90 degrees, the height of the parallelogram is not given by side p. Instead, we can use the Pythagorean theorem to find the height h:
h^2 = p^2 - n^2
h^2 = 9^2 - 4^2
h^2 = 65
h ≈ 8.06 in
Therefore:
Area = n x h
Area = 4 in x 8.06 in
Area ≈ 32.24 sq in
However, we must note that this is not one of the answer choices. Therefore, we assume that the closest answer choice is A, which is 45 sq in.
Twelve students tried out for the cheerleading squad. Six students were selected. What is the ratio of students selected to those trying out?
The ratio of students selected to those trying out is:
6:12
which can be simplified by dividing both sides by the greatest common factor, which is 6:
6:12 = 1:2
Therefore, the ratio of students selected to those trying out is 1:2.
The number of pages that nine students in Mrs. Arnold's English class read per day were used to make the box plot shown above. Which of the given sets of data matches the box plot?
A.
Pages Read per Day: 50, 60, 90, 100, 100, 110, 125, 135, 140
B.
Pages Read per Day: 50, 65, 90, 100, 100, 110, 125, 125, 140
C.
Pages Read per Day: 50, 65, 90, 100, 110, 110, 125, 130, 140
D.
Pages Read per Day: 50, 60, 90, 100, 110, 110, 125, 125, 140
C. Pages Read per Day: 50, 65, 90, 100, 110, 110, 125, 130, 140.
x + 73 = 109
x = 36
Explanation:
To solve for x, we need to get it by itself on one side of the equation.
We can do this by subtracting 73 from both sides of the equal sign:
x + 73 - 73 = 109 - 73
Simplifying:
x = 36
Therefore, x is equal to 36.