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Digital SAT Advanced Math: equivalent expressions, nonlinear equations and functions quiz quiz

9questions. Pick an answer and you'll see why right away.

  1. Which expression is equivalent to (xβˆ’5)(x+2)(x - 5)(x + 2)?

  2. Simplify x2βˆ’16xβˆ’4\dfrac{x^2 - 16}{x - 4} for xβ‰ 4x \neq 4.

  3. What are the solutions to x2βˆ’3xβˆ’10=0x^2 - 3x - 10 = 0?

  4. The discriminant of 2x2+4x+5=02x^2 + 4x + 5 = 0 is b2βˆ’4acb^2 - 4ac. How many real solutions does the equation have?

  5. If 3xβˆ’2=4\sqrt{3x - 2} = 4, what is xx?

  6. A quantity is modeled by A(t)=80(0.5)tA(t) = 80(0.5)^t. What does this represent?

  7. The vertex form f(x)=(xβˆ’2)2+5f(x) = (x - 2)^2 + 5 has its vertex at which point?

  8. Compared with the linear function g(x)=100+10xg(x) = 100 + 10x, how does f(x)=2xf(x) = 2^x behave for large positive xx?

  9. At how many points do the line y=x+2y = x + 2 and the parabola y=x2y = x^2 intersect?