Scelta multipla
Solve the given linear equation using addition and subtraction properties of equality.
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2. Linear Equations and Inequalities
The Addition and Subtraction Properties of Equality
Scelta multipla
Which of the following is a linear equation in one variable?
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D
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Recall that a linear equation in one variable is an equation where the variable is only to the first power (exponent 1) and is not multiplied by itself or any other variable.
Examine each given equation and identify the highest power of the variable \(x\) in each:
For example, in the equation \(2\left(x+5\right)-3x = x^2 + 1\), notice that \(x^2\) appears, which means the variable is squared, so this is not linear.
In the equation \(x\left(x+4\right) = 0\), when expanded, it becomes \(x^2 + 4x = 0\), which again has \(x^2\), so it is not linear.
Look at the equation \(4\left(x+3\right) = 2x + 18\). When expanded, it becomes \(4x + 12 = 2x + 18\), which only has \(x\) to the first power, so this is a linear equation in one variable.
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