What is the value of x in the equation 2x + 5 = 13?
This question tests your basic algebraic skills.
What is the solution to the system of equations: x + y = 10 and 2x - y = 5?
By adding the two equations together, the 'y' terms (+y and -y) canceled out, leaving a single equation with only x:
(x + y) + (2x - y) = 10 + 5 = 3x = 15
Solving for x gave us x = 5.
This value was then substituted back into the first original equation (x + y = 10):
5 + y = 10
Solving for y gave us y = 5.
Thus, the solution is x=5 and y=5.
Which of the following is the correct factorization of x^2 - 5x + 6?
This question tests your ability to factor quadratic expressions.
If f(x) = 3x^2 - 2x + 1, what is f(2)?
This question tests your ability to evaluate a quadratic function.
What is the slope of the line represented by the equation y = 4x + 3?
This question tests your understanding of linear functions and slope.
Which of the following is the inverse of the function f(x) = 2x + 3?
This question tests your understanding of inverse functions.
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What is the solution to the equation x^2 + 3x - 4 = 0?
This question tests your ability to solve quadratic equations.
Which of the following is the solution to the system of equations: y = 2x + 1 and y = -x + 5?
This question tests your ability to solve a system of linear equations.
Which of the following is the correct solution to the inequality 3x - 5 > 10?
This question tests your ability to solve linear inequalities.