Algebraic Reasoning - 8th Grade
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- 1.
Which of the following statements best describes the data in the table below?
- A.
The value of y is 6 more than the value of x.
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- B.
The value of y is three times the value of x increased by 1.
- C.
The value of y is five less than twice the value of x.
- D.
The value of y is five more than twice the value of x.
Correct Answer
D. The value of y is five more than twice the value of x.Explanation
The correct answer is "The value of y is five more than twice the value of x." This statement accurately describes the relationship between the values of x and y in the table. It states that y is obtained by multiplying x by 2 and then adding 5 to the result.Rate this question:
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- 2.
Which of the following statements best describes the data in the table below?
- A.
The value of y is three less than the value of x.
- B.
The value of y is four more than the value of x.
- C.
The value of y is three less than twice the value of x.
- D.
The value of y is ten less than three times the value of x.
Correct Answer
C. The value of y is three less than twice the value of x.Explanation
The correct answer is "The value of y is three less than twice the value of x." This is because the statement in the answer accurately describes the relationship between the values of x and y in the table. It states that y is three less than twice the value of x, which means that y is equal to 2x - 3. This relationship is consistent with the data in the table.Rate this question:
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- 3.
Which of the following statements best describes the data in the table below?
- A.
The value of y is three less than the value of x.
- B.
The value of y is four more than twice the value of x.
- C.
The value of y is four more than half the value of x.
- D.
The value of y is 3.5 more than x.
Correct Answer
C. The value of y is four more than half the value of x.Explanation
The statement "The value of y is four more than half the value of x" best describes the data in the table because it accurately reflects the relationship between the variables x and y. It states that y is obtained by taking half of x and adding four to it, which matches the values shown in the table.Rate this question:
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- 4.
Which of the following statements best describes the data in the table below?
- A.
The value of y is ten less than twice the value of x.
- B.
The value of y is ten less than the value of x.
- C.
The value of y is ten more than twice the value of x.
- D.
The value of y is thirteen less than three times the value of x.
Correct Answer
A. The value of y is ten less than twice the value of x.Explanation
The correct answer is "The value of y is ten less than twice the value of x." This statement accurately describes the relationship between the variables x and y in the table. It states that y is equal to two times x, with ten subtracted from it. This indicates that y is always ten less than twice the value of x.Rate this question:
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- 5.
Which of the following statements best describes the data in the table below?
- A.
The value of y is four times the value of x increased by 1.
- B.
The value of y is four times the value of x decreased by 1.
- C.
The value of y is sixteen more than x.
- D.
The value of y is one more than the value of x.
Correct Answer
A. The value of y is four times the value of x increased by 1.Explanation
The correct answer is "The value of y is four times the value of x increased by 1." This is because the statement accurately describes the relationship between the value of y and x in the table. It states that y is four times x, which indicates that y is four times greater than x. Additionally, it mentions that y is increased by 1, further confirming the relationship between the two variables.Rate this question:
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- 6.
Which of the following statements best describes the data in the table below?
- A.
The value of y is equal to the value of x.
- B.
The value of y is five more than the value of x.
- C.
The value of y is half the value of x increased by 2.5.
- D.
The value of y is half the value of x decreased by 4.
Correct Answer
C. The value of y is half the value of x increased by 2.5.Explanation
The table shows a relationship between the values of x and y. The value of y is calculated by taking half of the value of x and then adding 2.5 to it. This can be observed by comparing the values in the table. Therefore, the statement "The value of y is half the value of x increased by 2.5" best describes the data in the table.Rate this question:
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- 7.
Which of the following statements best describes the data in the table below?
- A.
The value of y is the value of x increased by five.
- B.
The value of y is four times the value of x increased by two.
- C.
The value of y is three times the value of x decreased by seven.
- D.
The value of y is three times the value of x increased by seven.
Correct Answer
C. The value of y is three times the value of x decreased by seven.Explanation
The correct answer is "The value of y is three times the value of x decreased by seven." This statement accurately describes the relationship between the values of x and y in the table. It indicates that y is calculated by multiplying x by three and then subtracting seven from the result.Rate this question:
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- 8.
Which of the following statements best describes the data in the table below?
- A.
The value of y is four less than the value of x.
- B.
The value of y is two less than the value of x.
- C.
The value of y is twice the value of x decreased by 4.
- D.
The value of y is half the value of x decreased by 4.
Correct Answer
C. The value of y is twice the value of x decreased by 4.Explanation
The correct answer is "The value of y is twice the value of x decreased by 4." This is because the statement accurately describes the relationship between x and y in the table. It states that y is equal to 2 times x, which means it is twice the value of x. Additionally, it mentions that this value is decreased by 4, indicating that y is four less than 2 times x. Therefore, the correct answer is the one that best describes this relationship.Rate this question:
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- 9.
Which of the following statements best describes the data in the table below?
- A.
The value of y is one less than three times the value of x.
- B.
The value of y is one more than three times the value of x.
- C.
The value of y is seven less than the value of x.
- D.
The value of y is three less than the value x.
Correct Answer
A. The value of y is one less than three times the value of x.Explanation
The correct answer is "The value of y is one less than three times the value of x." This is because the statement accurately describes the relationship between the values of y and x in the table. It states that y is equal to three times x minus one, which matches the data in the table.Rate this question:
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- 10.
Which of the following statements best describes the data in the table below?
- A.
The value of y is one more than one-third the value of x.
- B.
The value of y is one less than one third the value of x.
- C.
The value of y is three more than the value of x.
- D.
The value of y is six more than twice the value of x.
Correct Answer
A. The value of y is one more than one-third the value of x.Explanation
The table shows a relationship between the values of x and y. According to the statement "The value of y is one more than one-third the value of x," it means that y is equal to (1/3)x + 1. This implies that for every value of x, y is obtained by taking one-third of x and adding one to it. Therefore, the correct answer is that the value of y is one more than one-third the value of x.Rate this question:
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.png "Which of the following statements best describes the data in the table below?")
.png "Which of the following statements best describes the data in the table below?")
.png "Which of the following statements best describes the data in the table below?")
.png "Which of the following statements best describes the data in the table below?")
.png "Which of the following statements best describes the data in the table below?")
.png "Which of the following statements best describes the data in the table below?")
.png "Which of the following statements best describes the data in the table below?")
.png "Which of the following statements best describes the data in the table below?")
.png "Which of the following statements best describes the data in the table below?")
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