Algebra 2 First Semester Exam

Front

Simplify √125

Back

5√5

Front

Simplify the exponential expression: 2^3 * x^6 * y^12

Back

8x^6y^12

Front

Solve by factoring: x^2 = 7x + 18

Back

9 and -2

Front

Simplify the expression using the quotient rule: \frac{2^{14}}{z^7}

Back

2^2 z^7

Front

What is the Vertex of the function f(x)=-2(x-3)^2+4?

Back

(3,4)

Front

Define the Quotient Rule in exponents.

Back

If a^m / a^n = a^(m-n), where a is a non-zero number.

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c, where a ≠ 0.

Front

What is the formula for the vertex of a parabola in standard form?

Back

Vertex (h, k) where h = -b/(2a) and k = f(h).

Front

What is the difference between a rational and irrational number?

Back

Rational numbers can be expressed as a fraction, while irrational numbers cannot.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b^2 - 4ac, which determines the nature of the roots.