Question
Match the words with the descriptions.
circle graph
bar graph
Venn diagram
line graph
2.
Choose the correct answer.
What is the first step in solving the following equation:
?
Subtract
from both sides of the equation.
Add
to both sides of the equation.
Subtract
from both sides of the equation.
3.
Solve the problem.
Find the hypotenuse if the legs of a right triangle measure 7 cm and 24 cm.
22.96 cm
5.57 cm
25 cm
4.
Choose the correct answer.
A random sample of 15 states is selected to find the average population in the United States.
Is this sampling method biased?
yes
no
5.
Choose the correct answer.
If you were to translate point C using vector
, what would the coordinates of the new point be?
coordinate plane - points A, B, C
6.
Match the coordinates of the following points.
A
B
C
coordinate plane - points A, B, C
7.
Find the probability.
If you roll a die twice, what is the probability of getting a number greater than 3 on both rolls?
8.
Find the mean, median, mode, and range using the data below.
Mean:
Median:
Mode:
Range:
9.
Choose the correct answer.
A 5' 6"-tall student casts a shadow 8 ft long at the same time a tree casts a 30-ft shadow. How tall is the tree? (Hint: The tree and its shadow are similar to the student and her shadow.)
27' 6"
21 ft
20.625 ft
10.
Choose the correct answer.
If you were to reflect point A across the
line, what would the coordinates of the new point be?
coordinate plane - points A, B, C
11.
Does the scatter plot show a positive correlation, negative correlation, or no correlation?
scatterplot - weight vs. age
No correlation
Positive correlation
Negative correlation
12.
Choose the correct answer.
If you were to reflect point B across the
-axis, what would the coordinates of the new point be?
coordinate plane - points A, B, C
13.
Choose the correct answer.
Mr. Hall wants to buy a new car. The credit union at work will lend him $25,000 to be paid back in 60 monthly installments. Before Mr. Hall goes shopping for a new car, what other information does he need to know to budget his monthly payment?
the length of time he has had his job
the interest rate the credit union will charge him
the name of the credit union
14.
Find the probability.
The ratio of the number of girls to the number of boys was 3 to 5. If 2,520 were present, how many were girls and how many were boys?
Girls =
Boys =
15.
Choose the correct answer.
If you were to reflect point A across the
-axis, what would the coordinates of the new point be?
coordinate plane - points A, B, C
16.
Solve the problem.
Find the diagonal of a 9-inch square.
11 in
6.36 in
12.73 in
17.
Find the probability.
A six-sided die is rolled. What is the probability of rolling a two or a five?
18.
Find the probability.
A bag contains 9 red, 5 yellow, and 4 blue marbles. What is the probability of pulling out a blue marble, followed by a red marble, without replacing the blue marble first?
19.
Match the words with the descriptions.
A right angle is formed by two
lines.
The
property allows you to regroup terms using parentheses.
If
, then
is an example of the
property.
is an example of the
property.
When two lines are
, they have the same slope.
20.
Solve the problem.
The radius of a circular rug is 4 m. Find the area it will cover.
78.96 m2
157.91 m2
50.27 m2
circle graph
bar graph
Venn diagram
line graph
2.
Choose the correct answer.
What is the first step in solving the following equation:
?
Subtract
from both sides of the equation.
Add
to both sides of the equation.
Subtract
from both sides of the equation.
3.
Solve the problem.
Find the hypotenuse if the legs of a right triangle measure 7 cm and 24 cm.
22.96 cm
5.57 cm
25 cm
4.
Choose the correct answer.
A random sample of 15 states is selected to find the average population in the United States.
Is this sampling method biased?
yes
no
5.
Choose the correct answer.
If you were to translate point C using vector
, what would the coordinates of the new point be?
coordinate plane - points A, B, C
6.
Match the coordinates of the following points.
A
B
C
coordinate plane - points A, B, C
7.
Find the probability.
If you roll a die twice, what is the probability of getting a number greater than 3 on both rolls?
8.
Find the mean, median, mode, and range using the data below.
Mean:
Median:
Mode:
Range:
9.
Choose the correct answer.
A 5' 6"-tall student casts a shadow 8 ft long at the same time a tree casts a 30-ft shadow. How tall is the tree? (Hint: The tree and its shadow are similar to the student and her shadow.)
27' 6"
21 ft
20.625 ft
10.
Choose the correct answer.
If you were to reflect point A across the
line, what would the coordinates of the new point be?
coordinate plane - points A, B, C
11.
Does the scatter plot show a positive correlation, negative correlation, or no correlation?
scatterplot - weight vs. age
No correlation
Positive correlation
Negative correlation
12.
Choose the correct answer.
If you were to reflect point B across the
-axis, what would the coordinates of the new point be?
coordinate plane - points A, B, C
13.
Choose the correct answer.
Mr. Hall wants to buy a new car. The credit union at work will lend him $25,000 to be paid back in 60 monthly installments. Before Mr. Hall goes shopping for a new car, what other information does he need to know to budget his monthly payment?
the length of time he has had his job
the interest rate the credit union will charge him
the name of the credit union
14.
Find the probability.
The ratio of the number of girls to the number of boys was 3 to 5. If 2,520 were present, how many were girls and how many were boys?
Girls =
Boys =
15.
Choose the correct answer.
If you were to reflect point A across the
-axis, what would the coordinates of the new point be?
coordinate plane - points A, B, C
16.
Solve the problem.
Find the diagonal of a 9-inch square.
11 in
6.36 in
12.73 in
17.
Find the probability.
A six-sided die is rolled. What is the probability of rolling a two or a five?
18.
Find the probability.
A bag contains 9 red, 5 yellow, and 4 blue marbles. What is the probability of pulling out a blue marble, followed by a red marble, without replacing the blue marble first?
19.
Match the words with the descriptions.
A right angle is formed by two
lines.
The
property allows you to regroup terms using parentheses.
If
, then
is an example of the
property.
is an example of the
property.
When two lines are
, they have the same slope.
20.
Solve the problem.
The radius of a circular rug is 4 m. Find the area it will cover.
78.96 m2
157.91 m2
50.27 m2
Answers
GPT-4o mini
Let's go through each question step by step.
1. **Match the words with the descriptions:**
- Circle graph: A graph that shows parts of a whole using slices of a circle (pie chart).
- Bar graph: A graph that represents data with rectangular bars with lengths proportional to the values they represent.
- Venn diagram: A diagram that shows all possible logical relations between a finite collection of different sets.
- Line graph: A graph that displays information as a series of data points called 'markers' connected by straight line segments.
2. **What is the first step in solving the following equation?** (No specific equation provided):
- Since no specific equation is given, the answer will depend on the equation itself. Possible steps could include "Subtract" or "Add" values from/to both sides according to the equation context.
3. **Find the hypotenuse if the legs of a right triangle measure 7 cm and 24 cm:**
- Use the Pythagorean theorem: \( c = \sqrt{a^2 + b^2} \)
- \( c = \sqrt{7^2 + 24^2} = \sqrt{49 + 576} = \sqrt{625} = 25 \text{ cm} \)
- **Answer: 25 cm**
4. **Is this sampling method biased?**
- Given there's no randomization described involving selection methodology, assuming straight sampling of some cases may introduce bias.
- **Answer: Yes**
5. **If you were to translate point C using a vector, what would be the new coordinates?** (No vector provided):
- Without specific coordinates or a vector, I cannot determine the answer.
6. **Match the coordinates of the following points (A, B, C)**: (No coordinates given)
- I cannot match without the coordinates being provided.
7. **If you roll a die twice, what is the probability of getting a number greater than 3 on both rolls?**
- Numbers greater than 3 on a die are 4, 5, and 6. There are 3 successful outcomes out of 6. The probability of this event for two rolls is:
- \( P = \left(\frac{3}{6}\right) \times \left(\frac{3}{6}\right) = \left(\frac{1}{2}\right) \times \left(\frac{1}{2}\right) = \frac{1}{4} \)
8. **Find the mean, median, mode, and range using the data below:** (No data provided):
- Without data, I cannot calculate these statistics.
9. **How tall is the tree if a 5' 6" student casts a shadow 8 ft long and the tree casts a 30-ft shadow?**
- Use similar triangles: If 5 ft 6 in = 5.5 ft, then:
- \( \frac{H}{30} = \frac{5.5}{8} \) → \( H = \frac{5.5 \cdot 30}{8} = 20.625 \text{ ft} \)
- **Answer: 20.625 ft**
10. **What would be the coordinates of point A reflected across the line?** (No specific line or coordinates provided):
- Without specific information, I cannot determine the answer.
11. **Does the scatter plot show a positive correlation, negative correlation, or no correlation?** (No scatterplot provided):
- Without seeing the data, I cannot answer this.
12. **What would be the coordinates of point B reflected across the -axis?** (No coordinates provided):
- Without the specific coordinates of B, I cannot determine the answer.
13. **What other information does Mr. Hall need to know?**
- **Answer: The interest rate the credit union will charge him.**
14. **If the ratio of girls to boys is 3 to 5 and 2,520 were present, how many were girls and how many were boys?**
- Total parts = 3 + 5 = 8
- Girls = \( \frac{3}{8} \times 2520 = 945 \)
- Boys = \( \frac{5}{8} \times 2520 = 1575 \)
- **Girls = 945, Boys = 1575**
15. **What would be the coordinates of point A reflected across the -axis?** (No coordinates provided):
- Cannot determine.
16. **Find the diagonal of a 9-inch square:**
- Use the formula for the diagonal of a square: \( d = a \sqrt{2} \)
- \( d = 9 \sqrt{2} \approx 12.73 \text{ in} \)
- **Answer: 12.73 in**
17. **What is the probability of rolling a two or a five on a die?**
- There are 2 successful outcomes (2 and 5) out of 6.
- **Probability = 2/6 = 1/3.**
18. **What is the probability of pulling out a blue marble followed by a red marble?**
- Probability of blue = 4/18; then, probability of red = 9/17 (after taking out a blue).
- Combined probability = \( \frac{4}{18} \times \frac{9}{17} = \frac{36}{306} = \frac{6}{51} = \frac{2}{17}. \)
19. **Match the words with the descriptions:**
- A right angle is formed by two **perpendicular** lines.
- The **associative** property allows you to regroup terms using parentheses.
- If **a = b**, then **b = a** is an example of the **reflexive** property.
- **(a + b) + c = a + (b + c)** is an example of the **associative** property.
- When two lines are **parallel**, they have the same slope.
20. **Find the area of a circular rug with a radius of 4 m:**
- Area = \( \pi r^2 \)
- Area = \( \pi \cdot (4^2) = \pi \cdot 16 \approx 50.27 \text{ m}^2 \)
- **Answer: 50.27 m²**
Please provide any additional details that may be required for the unsolved items!
1. **Match the words with the descriptions:**
- Circle graph: A graph that shows parts of a whole using slices of a circle (pie chart).
- Bar graph: A graph that represents data with rectangular bars with lengths proportional to the values they represent.
- Venn diagram: A diagram that shows all possible logical relations between a finite collection of different sets.
- Line graph: A graph that displays information as a series of data points called 'markers' connected by straight line segments.
2. **What is the first step in solving the following equation?** (No specific equation provided):
- Since no specific equation is given, the answer will depend on the equation itself. Possible steps could include "Subtract" or "Add" values from/to both sides according to the equation context.
3. **Find the hypotenuse if the legs of a right triangle measure 7 cm and 24 cm:**
- Use the Pythagorean theorem: \( c = \sqrt{a^2 + b^2} \)
- \( c = \sqrt{7^2 + 24^2} = \sqrt{49 + 576} = \sqrt{625} = 25 \text{ cm} \)
- **Answer: 25 cm**
4. **Is this sampling method biased?**
- Given there's no randomization described involving selection methodology, assuming straight sampling of some cases may introduce bias.
- **Answer: Yes**
5. **If you were to translate point C using a vector, what would be the new coordinates?** (No vector provided):
- Without specific coordinates or a vector, I cannot determine the answer.
6. **Match the coordinates of the following points (A, B, C)**: (No coordinates given)
- I cannot match without the coordinates being provided.
7. **If you roll a die twice, what is the probability of getting a number greater than 3 on both rolls?**
- Numbers greater than 3 on a die are 4, 5, and 6. There are 3 successful outcomes out of 6. The probability of this event for two rolls is:
- \( P = \left(\frac{3}{6}\right) \times \left(\frac{3}{6}\right) = \left(\frac{1}{2}\right) \times \left(\frac{1}{2}\right) = \frac{1}{4} \)
8. **Find the mean, median, mode, and range using the data below:** (No data provided):
- Without data, I cannot calculate these statistics.
9. **How tall is the tree if a 5' 6" student casts a shadow 8 ft long and the tree casts a 30-ft shadow?**
- Use similar triangles: If 5 ft 6 in = 5.5 ft, then:
- \( \frac{H}{30} = \frac{5.5}{8} \) → \( H = \frac{5.5 \cdot 30}{8} = 20.625 \text{ ft} \)
- **Answer: 20.625 ft**
10. **What would be the coordinates of point A reflected across the line?** (No specific line or coordinates provided):
- Without specific information, I cannot determine the answer.
11. **Does the scatter plot show a positive correlation, negative correlation, or no correlation?** (No scatterplot provided):
- Without seeing the data, I cannot answer this.
12. **What would be the coordinates of point B reflected across the -axis?** (No coordinates provided):
- Without the specific coordinates of B, I cannot determine the answer.
13. **What other information does Mr. Hall need to know?**
- **Answer: The interest rate the credit union will charge him.**
14. **If the ratio of girls to boys is 3 to 5 and 2,520 were present, how many were girls and how many were boys?**
- Total parts = 3 + 5 = 8
- Girls = \( \frac{3}{8} \times 2520 = 945 \)
- Boys = \( \frac{5}{8} \times 2520 = 1575 \)
- **Girls = 945, Boys = 1575**
15. **What would be the coordinates of point A reflected across the -axis?** (No coordinates provided):
- Cannot determine.
16. **Find the diagonal of a 9-inch square:**
- Use the formula for the diagonal of a square: \( d = a \sqrt{2} \)
- \( d = 9 \sqrt{2} \approx 12.73 \text{ in} \)
- **Answer: 12.73 in**
17. **What is the probability of rolling a two or a five on a die?**
- There are 2 successful outcomes (2 and 5) out of 6.
- **Probability = 2/6 = 1/3.**
18. **What is the probability of pulling out a blue marble followed by a red marble?**
- Probability of blue = 4/18; then, probability of red = 9/17 (after taking out a blue).
- Combined probability = \( \frac{4}{18} \times \frac{9}{17} = \frac{36}{306} = \frac{6}{51} = \frac{2}{17}. \)
19. **Match the words with the descriptions:**
- A right angle is formed by two **perpendicular** lines.
- The **associative** property allows you to regroup terms using parentheses.
- If **a = b**, then **b = a** is an example of the **reflexive** property.
- **(a + b) + c = a + (b + c)** is an example of the **associative** property.
- When two lines are **parallel**, they have the same slope.
20. **Find the area of a circular rug with a radius of 4 m:**
- Area = \( \pi r^2 \)
- Area = \( \pi \cdot (4^2) = \pi \cdot 16 \approx 50.27 \text{ m}^2 \)
- **Answer: 50.27 m²**
Please provide any additional details that may be required for the unsolved items!