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Questions and Answers
The formula for the volume V of a cube is V = s³, where s is the side length. If a cube has a side length of 4 units, what is its volume?
The formula for the volume V of a cube is V = s³, where s is the side length. If a cube has a side length of 4 units, what is its volume?
Express 3 times a number n squared plus 2 as an algebraic expression.
Express 3 times a number n squared plus 2 as an algebraic expression.
If p = 7 and q = 3, find the value of 2p² - q²
If p = 7 and q = 3, find the value of 2p² - q²
A ball is thrown upward with an initial velocity v meters per second. How high does the ball travel in t seconds?
A ball is thrown upward with an initial velocity v meters per second. How high does the ball travel in t seconds?
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Solve for x in the equation 5x² - 3x + 7 = 22
Solve for x in the equation 5x² - 3x + 7 = 22
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Evaluate the expression 3x² + 2x - 1 when x = 4
Evaluate the expression 3x² + 2x - 1 when x = 4
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Simplify the expression 4a² + 3ab - 2b² + a² - ab
Simplify the expression 4a² + 3ab - 2b² + a² - ab
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If x = 2 and y = 3, find the value of x²+ y²
If x = 2 and y = 3, find the value of x²+ y²
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Simplify the expression 2x² + 5x - 3x² + 4
Simplify the expression 2x² + 5x - 3x² + 4
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What is the area of a square if each side s = 6 units?
What is the area of a square if each side s = 6 units?
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Study Notes
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?
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Description
Test your algebra skills with these multiple-choice questions on evaluating and simplifying expressions, and calculating degrees.
