Algebra Quiz: Expressions, Formulas, and Degrees

Evaluating Expressions

• Evaluating an expression means to find its value when given a specific value for the variable.
• Example: Evaluate the expression $3x^2 + 2x - 1$ when $x = 4$.

Simplifying Expressions

• Simplifying an expression means to combine like terms.
• Example: Simplify the expression $4a^2 + 3ab - 2b^2 + a^2 - ab$.

Quadratic Expressions

• A quadratic expression has a degree of 2, meaning the highest power of the variable is 2.
• Example: $x^2 + y^2$ is a quadratic expression.

Formula for Area of a Square

• The area of a square is found by multiplying the side length by itself.
• Formula: $A = s^2$, where $s$ is the side length.

Formula for Volume of a Cube

• The formula for the volume of a cube is $V = s^3$, where $s$ is the side length.
• Example: If a cube has a side length of 4 units, its volume is $V = 4^3 = 64$ cubic units.

Algebraic Expressions

• An algebraic expression is a mathematical expression that contains variables and constants.
• Example: Express 3 times a number $n$ squared plus 2 as an algebraic expression.

Solving Equations

• Solving an equation means to find the value of the variable that makes the equation true.
• Example: Solve for $x$ in the equation $5x^2 - 3x + 7 = 22$.

Motion and Velocity

• The height of a ball thrown upward can be found using the formula $v t - \frac{1}{2} g t^2$, where $v$ is the initial velocity and $t$ is time.
• Example: If a ball is thrown upward with an initial velocity of $v$ meters per second, how high does it travel in $t$ seconds?