Algebra III First Semester Test 2024

Front

Simplify -5a^3(9a^2 - 3a^4)

Back

-45a^5 + 15a^7

Front

Find (f·g)(2) where f(x)=x-1 and g(x)=2x+2.

Back

6

Front

Rewrite using a positive exponent: 7^{-10}

Back

\frac{1}{7^{10}}

Front

Find the sum: (3y^2 + y^3 - 5) + (4y^2 -4y + 2y^3 + 8)

Back

3y^3 + 7y^2 - 4y + 3

Front

What must be true in order to ADD two matrices?

Back

The dimensions must be equal.

Front

Definition of a polynomial.

Back

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

Explain the distributive property.

Back

The distributive property states that a(b + c) = ab + ac.

Front

What is a rational expression?

Back

A rational expression is a fraction where the numerator and/or denominator are polynomials.

Front

Define a matrix.

Back

A matrix is a rectangular array of numbers arranged in rows and columns.