1.
What is the area of a rectangle with side lengths of 5 cm and 8 cm?
40 square cm
26 square cm
3 square cm
13 square cm
2.
If the side of a square is 7 m, then find its area.
49 square meter
48 square meter
45 square meter
42 square meter
7.
What does volume mean? What are we looking for when solving for volume?
Volume is the measure of the amount of space inside of a solid figure
Volume is the total area of the surface of a three-dimensional object.
Volume is the total distance around the edge of the figure
8.
A shipping box is 10 1/2 in wide, 16 1/2 in long, and 14 1/2 in high. What is the volume of the box in cubic inches?
11.
Look at the composite figure above. Decompose it and find the area.
_______ square units
Sorry, there is no composite figure provided to answer this question. Please provide a visual or description of the composite figure for me to answer this question accurately.
1.
What is the area of a rectangle with side lengths of 5 cm and 8 cm?
40 square cm
26 square cm
3 square cm
13 square cm
The area of the rectangle is:
Area = length x width
Area = 5 cm x 8 cm
Area = 40 square cm
So, the answer is 40 square cm.
2.
If the side of a square is 7 m, then find its area.
49 square meter
48 square meter
45 square meter
42 square meter
The area of a square is given by:
Area = side x side
In this case, the side of the square is 7 m. Substituting into the formula above, we get:
Area = 7 m x 7 m
Area = 49 square meters
Therefore, the area of the square is 49 square meters.
So, the answer is 49 square meter.
7.
What does volume mean? What are we looking for when solving for volume?
Volume is the measure of the amount of space inside of a solid figure
Volume is the total area of the surface of a three-dimensional object.
Volume is the total distance around the edge of the figure
Volume is the measure of the amount of space inside of a solid figure. When solving for volume, we are trying to find how much space a three-dimensional object takes up. This is typically measured in cubic units, such as cubic meters or cubic centimeters.
7.
What does volume mean? What are we looking for when solving for volume?
A. Volume is the measure of the amount of space inside of a solid figure
B. Volume is the total area of the surface of a three-dimensional object.
C. Volume is the total distance around the edge of the figure
is the answer A B or C
The answer is A, "Volume is the measure of the amount of space inside of a solid figure".
8.
A shipping box is 10 1/2 in wide, 16 1/2 in long, and 14 1/2 in high. What is the volume of the box in cubic inches?
The volume of the box is given by:
Volume = length x width x height
Substituting the given values, we get:
Volume = 10.5 in x 16.5 in x 14.5 in
Volume = 2548.125 cubic inches
Therefore, the volume of the shipping box is 2548.125 cubic inches.
1.
Choose the statement that represents the inequality
�
<
36
x <36
There are more than 36 cookies in the cookie jar.
There are fewer than 36 cookies in the cookie jar.
There are a maximum of 36 cookies in the cookie jar.
There is a minimum of 36 cookies in the cookie jar.
The correct statement that represents the inequality "<" is:
x < 36
This means that "x" is less than 36.
So, the answer is "There are fewer than 36 cookies in the cookie jar."
2.
Choose the statement that represents the inequality statement.
�
≥
16
x ≥16
You must be no more than 16 years old to get a driver's license.
You must be 16 years old to get a driver's license.
You must be at least 16 years old to get a driver's license.
You must be older than 16 years old to get a driver's license.
The correct statement that represents the inequality "≥" is:
x ≥ 16
This means that "x" is greater than or equal to 16.
So, the answer is "You must be at least 16 years old to get a driver's license."
3.
Choose the statement that represents the inequality
�
≤
12
x ≤12
You must be no more than 12 years old to order a kid's meal.
You must be at least 12 years old to order a kid's meal.
You must be 12 years old to order a kid's meal.
You must be older than 12 years old to order a kid's meal.
The correct statement that represents the inequality "≤" is:
x ≤ 12
This means that "x" is less than or equal to 12.
So, the answer is "You must be no more than 12 years old to order a kid's meal."
4.
How many solutions are represented by the number line below?
none
one
many
infinite
The number line is not provided in the question. Please provide a visual or description of the number line in order for me to answer this question accurately.
7.
Solve:
�
+
6
≤
11
x +6 ≤11
�
≤
5
x ≤5
�
≤
−
5
x≤−5
�
≥
5
x ≥5
�
≥
−
5
x≥−5
Solving x + 6 ≤ 11:
x + 6 ≤ 11
x ≤ 11 - 6
x ≤ 5
So, the solution for this inequality is: x ≤ 5.
Solving x ≤ -5:
The inequality is already in its simplest form, so the solution is: x ≤ -5.
Solving x ≥ 5:
The inequality is already in its simplest form, so the solution is: x ≥ 5.
Solving x ≥ -5:
The inequality is already in its simplest form, so the solution is: x ≥ -5.
Therefore, the solutions for the given set of inequalities are:
x ≤ 5,
x ≤ -5,
x ≥ 5, and
x ≥ -5.
8.
Solve:
�
−
4
≤
1
x −4 ≤1
�
≤
5
x ≤5
�
≤
−
5
x≤−5
�
≥
5
x ≥5
�
≥
−
5
x≥−5
Solving x - 4 ≤ 1:
x - 4 ≤ 1
x ≤ 1 + 4
x ≤ 5
So, the solution for this inequality is: x ≤ 5.
Solving x ≤ -5:
The inequality is not in line with the first inequality, so there is no solution set that satisfies both inequalities.
Solving x ≥ 5:
The inequality is not in line with the first inequality, so there is no solution set that satisfies both inequalities.
Solving x ≤ 5:
The inequality is already considered in the first inequality, so no further solutions are necessary.
Solving x ≥ -5:
The inequality is already considered in the first inequality, so no further solutions are necessary.
Therefore, the solution for the given set of inequalities is: x ≤ 5.
9.
Solve:
3
�
≥
27
3x≥27
�
≤
9
x≤9
�
≤
−
9
x≤−9
�
≥
9
x≥9
�
≥
−
9
x≥−9
Solving 3x ≥ 27:
3x ≥ 27
x ≥ 27/3
x ≥ 9
So, the solution for this inequality is: x ≥ 9.
Solving x ≤ -9:
The inequality is not in line with the first inequality, so there is no solution set that satisfies both inequalities.
Solving x ≥ 9:
The inequality is already considered in the first inequality, so no further solutions are necessary.
Solving x ≤ 9:
The inequality is already considered in the first inequality, so no further solutions are necessary.
Solving x ≥ -9:
The inequality is not in line with the first inequality, so there is no solution set that satisfies both inequalities.
Therefore, the solution for the given set of inequalities is: x ≥ 9.
1
10.
�
5
>
10
5
x
>10
�
>
−
50
x>−50
�
>
−
2
x > −2
�
>
50
x > 50
�
>
2
x > 2
Solving 5x > 10:
Divide both sides by 5:
x > 2
So, the solution for this inequality is: x > 2.
Solving x > -50:
The inequality is already in its simplest form, so the solution is: x > -50.
Solving x > -2:
The inequality is already in its simplest form, so the solution is: x > -2.
Solving x > 50:
The inequality is already in its simplest form, so the solution is: x > 50.
Solving x > 2:
The inequality is already in its simplest form, so the solution is: x > 2.
Therefore, the solutions for the given set of inequalities are:
x > 2,
x > -50,
x > -2,
x > 50, and
x > 2.
11.
Ava is trying to save at least $200 from her summer job to buy new clothes for the coming school year. She has $75 saved. Which inequality below can be used to find x, the amount of money she still needs to save in order to reach her goal of at least $200?
x + 75 ≥ 200
75 + x ≤ 200
x + 75 < 200
75 + 200 ≥ x
Ava has already saved $75 and she wants to save a total of at least $200. The amount of money she still needs to save is represented by "x".
In order to find the inequality that represents this situation, we can use the following:
x + 75 ≥ 200
This inequality says that the sum of the money she still needs to save (x) and the money she has already saved ($75) is greater than or equal to her goal of saving at least $200.
So, the answer is: x + 75 ≥ 200.
12.
Use Your Vocabulary: Match the appropriate inequality symbol with each phrase on the right.
≥
<
>
≤
≠
x is at most 25
x is not equal to 25
x is greater than 25
x is at least 25
≥ : x is at least 25
≠ : x is not equal to 25
> : x is greater than 25
≤ : x is at most 25
< : This phrase is not matched to any of the inequality symbols.