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Linear Equations Quiz

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Questions and Answers

Which of the following is a linear equation in one variable?

$\sqrt{x} + 2 = 9$

$2x^2 + 3x - 5 = 0$

$\sin(x) = 0$

$\frac{x}{2} - 3 = 7$ (correct)

Which of the following equations is not a linear equation in one variable?

$4x^2 - 9 = 0$ (correct)

$\log(x) = 2$

$\frac{2x}{3} - 1 = 0$

$3x + 2y = 5$

Which of the following is a solution to the equation $2x - 5 = 7$?

$x = 3$

$x = -1$ (correct)

$x = 0$

$x = 1$

Study Notes

Identifying Linear Equations

A linear equation in one variable is characterized by its simplicity and single variable.
The equation must have a degree of one, meaning the highest power of the variable is one.

Non-Linear Equations

An equation that does not meet the criteria for a linear equation is considered non-linear.

Solving Equations

To solve the equation $2x - 5 = 7$, we need to isolate the variable $x$.
Adding $5$ to both sides gives $2x = 12$, and then dividing both sides by $2$ gives $x = 6$.
Therefore, the solution to the equation $2x - 5 = 7$ is $x = 6$.

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Description

Test your knowledge of linear equations in one variable with this quiz. Identify linear equations, determine which equations are not linear, and find solutions to specific equations.