## 6 Questions

What is the value of $2x - 5$ when $x = 4$?

$7$

What is the correct spelling of the mathematical subject involving symbols and letters?

Algebra

Which term best describes an equation with two different algebraic expressions separated by an equal sign?

Linear equation

What is the sum of the roots of the equation $4x^2 - 12x + 9 = 0$?

3

What is the solution to the equation $3x^2 + 5x - 2 = 0$?

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

If $2x + 5y = 13$ and $3x - y = 5$, what is the value of $x$?

$x = 3$

## Study Notes

### Evaluating Algebraic Expressions

- The value of $2x - 5$ is $2(4) - 5 = 3$ when $x = 4$.

### Mathematical Terminology

- The correct spelling of the mathematical subject involving symbols and letters is "Algebra".

### Equation Characteristics

- An equation with two different algebraic expressions separated by an equal sign is best described as a "Balance Equation".

### Quadratic Equation Roots

- The sum of the roots of the equation $4x^2 - 12x + 9 = 0$ can be found using the sum of roots formula.

### Solving Quadratic Equations

- The solution to the equation $3x^2 + 5x - 2 = 0$ can be found using various methods, such as factoring, quadratic formula, or graphing.

### Systems of Linear Equations

- The value of $x$ can be found by solving the system of linear equations: $2x + 5y = 13$ and $3x - y = 5$, using methods of substitution, elimination, or graphing.

Test your knowledge of algebraic equations and expressions with this quiz. Solve for variable values, identify terms, and find the sum of roots in quadratic equations.

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