# Algebraic Reasoning - 8th Grade

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| By Lesliedulock
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Lesliedulock
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Quizzes Created: 3 | Total Attempts: 899
Questions: 10 | Attempts: 283  Settings  • 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.

• 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.

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.

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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.

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.

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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.

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.

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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.

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.

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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.

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.

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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.

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.

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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.

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.

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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.

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.

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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.

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.

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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.

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.

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