Given the polynomial: -7x4 + 2x2 + 11 + 5x5 - 4x

The terms are $5x^5$, $-7x^4$, $2x^2$, $-4x$ (which is $-4x^1$), and 11 (which is $11x^0$).

The polynomial in descending powers of $x$ is $\boxed{\text{}5x^5 - 7x^4 + 2x^2 - 4x + 11\text{}}$

4.1.2

Terms are separated by addition or subtraction signs.
The terms are $5x^5$, $-7x^4$, $2x^2$, $-4x$, and 11.
There are 5 terms.
There are $\boxed{\text{}5\text{}}$ terms in the polynomial.

4.1.3

The term is $-7x^4$.

The coefficient of $x^4$ is $-7$.
The coefficient of $x^4$ is $\boxed{\text{} -7\text{}}$

4.1.4

The powers of $x$ are $5, 4, 2, 1, 0$. The highest power is 5.
The degree of the polynomial is $\boxed{\text{}5\text{}}$

4.2 Simplify:

4.2.1 $15x + 7y + 25x + 3 + 2y$

The simplified expression is $\boxed{\text{}40x + 9y + 3\text{}}$

4.2.2 $4x^2 + 2x + 4 + 3x^2 - 5x - 1$

The simplified expression is $\boxed{\text{}7x^2 - 3x + 3\text{}}$

4.3 Write the following in the normal algebraic way: $c2 + d3$

The normal algebraic way is $\boxed{\text{}2c + 3d\text{}}$

4.4 Write the following statement in algebraic language: Multiply a number by two and add six to the answer.

The algebraic expression is $\boxed{\text{}2x + 6\text{}}$

QUESTION 5: EXPONENTS

5.1 Write each of the following in exponential notation:

5.1.1 512

In exponential notation, 512 is $\boxed{\text{}2^9\text{}}$

5.1.2 $2^3 \times 3^3$

In exponential notation, $2^3 \times 3^3$ is $\boxed{\text{}6^3\text{}}$ (which equals 216).

5.2 Simplify:

5.2.1 $2^{-4} \times 2^5 \times 2^0$

The simplified expression is $\boxed{\text{}2\text{}}$

5.2.2 $(-3x)^2$

The simplified expression is $\boxed{\text{}9x^2\text{}}$