Praxis Algebra I 5162 Domain 1: Principles of Algebra

If \( x \) and \( y \) are inversely proportional, and \( x = 4 \) when \( y = 3 \), what is the value of \( y \) when \( x = 12 \)?

Given \( f(x) = 2x^3 - x^2 + 4x - 7 \), what is the value of \( f(-2) \)?

What are the solutions of the equation \( x^2 - 5x + 6 = 0 \)?

If \( 3^{2x+1} = 81 \), what is the value of \( x \)?

What is the slope of the line given by the equation \( 2x - 3y = 6 \)?

If \( \frac{x}{5} = \frac{y}{3} \) and \( x = 10 \), what is the value of \( y \)?

Find the value of \( k \) for which the equation \( x^2 + kx + 9 = 0 \) has one real solution.

Which of the following represents the sum of the infinite geometric series \( 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \ldots \)?

What is the inverse function of \( f(x) = 3x - 4 \)?

Given \( g(x) = \frac{1}{x-2} \), for which values of \( x \) is \( g(x) \) undefined?

If \( a \) and \( b \) are integers such that \( a > b \) and \( ab = -24 \), which of the following could be the value of \( a - b \)?

What is the standard form of the equation of the circle with a radius of 5 units and center at (3, -4)?

If \( 3x - 2y = 12 \) and \( 5x + 3y = -9 \), what is the value of \( x \)?

What are the solutions to the equation \( x^2 - 6x + 9 = 0 \)?

For what value of \( k \) will the system of equations \( 2x + 3y = 6 \) and \( kx - 5y = 10 \) have no solution?

What is the simplified form of the expression \( \frac{x^2 - 16}{x^2 - 5x + 4} \)?

Which of the following represents the vertex form of the quadratic equation \( y = x^2 - 4x + 1 \)?

If \( f(x) = 2x^2 - 5x + 3 \), what is the value of \( f(-2) \)?

What is the inverse function of \( f(x) = 3x - 2 \)?

What is the solution set for the inequality \( 2(x - 3) < 4x - 6 \)?