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Questions and Answers
What is the sum of the first 10 positive integers?
What is the sum of the first 10 positive integers?
- $55$
- $50$
- $60$
- $45$ (correct)
Which equation represents the line with a slope of $3$ that passes through the point $(2, 1)$?
Which equation represents the line with a slope of $3$ that passes through the point $(2, 1)$?
- $y = 3x + 1$
- $y + 1 = 3(x + 2)$
- $y - 1 = 3(x - 2)$ (correct)
- $y - 1 = 2(x - 2)$
What is the value of $x$ in the equation $2x - 3 = 5x + 6$?
What is the value of $x$ in the equation $2x - 3 = 5x + 6$?
- $9$
- $-3$ (correct)
- $3$
- $-9$
What is the determinant of the matrix $\begin{bmatrix} 4 & 2 \ 3 & 1 \end{bmatrix}$?
What is the determinant of the matrix $\begin{bmatrix} 4 & 2 \ 3 & 1 \end{bmatrix}$?
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Which of the following expressions is equivalent to $\sqrt{50} + \sqrt{18}$?
Which of the following expressions is equivalent to $\sqrt{50} + \sqrt{18}$?
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Study Notes
Sum of Integers
- The sum of the first 10 positive integers is 55.
Linear Equation
- The equation representing the line with a slope of 3 passing through the point (2, 1) is y = 3x - 5.
Solving for x
- The value of x in the equation 2x - 3 = 5x + 6 is x = -3.
Matrix Determinant
- The determinant of the matrix $\begin{bmatrix} 4 & 2 \ 3 & 1 \end{bmatrix}$ is -2.
Simplifying Radicals
- The expression $\sqrt{50} + \sqrt{18}$ is equivalent to $7\sqrt{2}$.
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