Recall Activity Linear Equations In 1 Variable (Gr-8)

1. In a linear equation, the highest power of the variable in the equation is one.

True

False

A linear equation is an equation where the highest power of the variable is one. This means that the variable is not raised to any exponent higher than one. In other words, the equation does not involve any squared terms, cubed terms, or any other higher powers of the variable. Therefore, the statement is true.

Explanation

A linear equation is an equation where the highest power of the variable is one. This means that the variable is not raised to any exponent higher than one. In other words, the equation does not involve any squared terms, cubed terms, or any other higher powers of the variable. Therefore, the statement is true.

2. In the equation 3x - 3 = 9 , transporting -3 to RHS ,we get 3x = 9

True

False

The given equation is 3x - 3 = 9. To isolate the variable x, we need to move the constant term -3 to the right-hand side of the equation. By doing so, we should have 3x = 12. Therefore, the correct answer is False.

Explanation

The given equation is 3x - 3 = 9. To isolate the variable x, we need to move the constant term -3 to the right-hand side of the equation. By doing so, we should have 3x = 12. Therefore, the correct answer is False.

3. Two different equations can never have the same answer

True

False

This statement is false because two different equations can indeed have the same answer. For example, the equations 2 + 2 = 4 and 3 + 1 = 4 both have the same answer of 4. Therefore, it is possible for different equations to yield the same result.

Explanation

This statement is false because two different equations can indeed have the same answer. For example, the equations 2 + 2 = 4 and 3 + 1 = 4 both have the same answer of 4. Therefore, it is possible for different equations to yield the same result.

4. In the equation 2x = 4 - x , transporting - x to LHS, we get 3x = 4

True

False

By moving -x to the left-hand side of the equation, it becomes 3x = 4. This is a valid step in solving the equation. Therefore, the statement "3x = 4" is true.

Explanation

By moving -x to the left-hand side of the equation, it becomes 3x = 4. This is a valid step in solving the equation. Therefore, the statement "3x = 4" is true.

5. 3 years ago, the age of a boy was "y" years. His age 2 years ago was (y - 2 ) years

True

False

The statement given in the question is incorrect. It states that the boy's age 2 years ago was (y - 2) years, but this is not necessarily true. The boy's age 2 years ago would be (y - 2) only if his age remained the same for the past 3 years. However, the question does not provide any information about the boy's age in the present or in the past, so we cannot assume that his age has remained constant. Therefore, the correct answer is False.

Explanation

The statement given in the question is incorrect. It states that the boy's age 2 years ago was (y - 2) years, but this is not necessarily true. The boy's age 2 years ago would be (y - 2) only if his age remained the same for the past 3 years. However, the question does not provide any information about the boy's age in the present or in the past, so we cannot assume that his age has remained constant. Therefore, the correct answer is False.