Question

Determine whether the following statement is true or false. Explain your reasoning. Jordan says that when solving the equation 4b+3=11, the best first step is to apply the Division Property of Equality.

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A. The statement is false. Since there is a coefficient on the variable, the Multiplication Property of Equality should be used first.
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B. The statement is true. The Division Property of Equality should always be the first property of equality used when solving linear equations.
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C. The statement is false. The Subtraction Property of Equality should be used first to remove the constant term before dividing.
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D. The statement is true. Since there is a coefficient on the variable, the Division Property of Equality must be used first.

Answer 1

The correct option is;

C. The statement is false. The Subtraction Property of Equality should be used first to remove the constant term before dividing

Explanation:

In other to solve the equation 4·b + 3 = 11, we have;

By the subtraction property of equality, we have;

Firstly we subtract 3 from both sides gives;

4·b + 3 - 3= 11 - 3

Next we apply the division property of equality, we have;

Both sides of an equation remain equal when we divide both sides of the equation by the same, non-number,

Dividing both sides by 4, gives;

4·b/4 = 8/4

b = 8/4 = 2

The solution to the equation, 4·b + 3 = 11 is b = 2.