Algebraic Reasoning - 8th Grade

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.