Podcast
Questions and Answers
What is the value of $x$ in the equation $2x + 5 = 13$?
What is the value of $x$ in the equation $2x + 5 = 13$?
Solve for $y$: $3y - 4 = 11$. What is the value of $y$?
Solve for $y$: $3y - 4 = 11$. What is the value of $y$?
Which pair of values satisfies the equation $x^2 - 9 = 0$?
Which pair of values satisfies the equation $x^2 - 9 = 0$?
What is the coefficient of $y$ in the expression $7y - 2x + 3$?
What is the coefficient of $y$ in the expression $7y - 2x + 3$?
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If $x + 2 = 5$, what is the value of $x$?
If $x + 2 = 5$, what is the value of $x$?
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Solve the equation $5x - 2 = 3x + 6$. What is the value of $x$?
Solve the equation $5x - 2 = 3x + 6$. What is the value of $x$?
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What is the value of $2x^2 - 3x + 4$ when $x = 2$?
What is the value of $2x^2 - 3x + 4$ when $x = 2$?
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Factorize the quadratic expression: $x^2 + 4x + 3$.
Factorize the quadratic expression: $x^2 + 4x + 3$.
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Study Notes
Algebra Concepts and Solutions
- Solve for ( x ) in the equation ( 2x + 5 = 13 ): ( x = 4 )
- Solve for ( y ) in ( 3y - 4 = 11 ): ( y = 5 )
- The solutions of ( x^2 - 9 = 0 ) are ( x = -3 ) and ( x = 3 )
- Simplify ( 4a + 3a - 5 ): results in ( 7a - 5 )
- Solve for ( x ) in ( 2x - 7 = 5 ): ( x = 6 )
- Evaluate ( 3x + 2 ) at ( x = -1 ): yields ( -1 )
Quadratic Equations and Factorization
- Solve the quadratic equation ( x^2 + 5x + 6 = 0 ): solutions are ( x = -2 ) and ( x = -3 )
- Factor ( x^2 - 16 ): results in ( (x - 4)(x + 4) )
Additional Algebraic Solutions
- Solve ( 2x - \frac{1}{3} = 4 ): ( x = 5 )
- Simplify ( 3(x + 4) - 2x ): results in ( x + 12 )
Coefficients and Simple Equations
- In ( 7y - 2x + 3 ), the coefficient of ( y ) is ( 7 )
- Solve for ( x ) in ( x + 2 = 5 ): ( x = 3 )
- Solve ( 4(x - 2) = 12 ): ( x = 5 )
Simplifying Expressions
- Simplify ( 2x^2 + 4x ): results in ( 2x(x + 2) )
- Solve ( 5x - 2 = 3x + 6 ): ( x = 4 )
- Solve ( 3(x - 2) = 2x + 6 ): ( x = 12 )
Evaluating Expressions
- Evaluate ( 2x^2 - 3x + 4 ) at ( x = 2 ): result is ( 10 )
- Factor ( x^2 + 4x + 3 ): results in ( (x + 1)(x + 3) )
Simplifying Differences of Polynomials
- Simplify ( (3x^2 - x) - (2x^2 + x) ): results in ( x^2 - 2x )
Slope of Lines
- The slope of the line given by ( 2x - 3y = 6 ) is ( \frac{2}{3} ) when expressed in slope-intercept form.
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Description
Test your skills with this engaging algebra quiz designed for Class 9 students. It covers basic equations, solving for variables, and simplifying expressions. Challenge yourself with multiple-choice questions that enhance your understanding of algebra.
