Simplifying and Evaluating Expressions

The process of simplifying expressions typically involves breaking them down to their simplest form, usually by merging similar terms or implementing mathematical operations. On the other hand, evaluating expressions requires the substitution of variables with specified values and carrying out the operations to yield a singular numerical output. Both of these skills are fundamental in the field of algebra.

Simplifying

Find the average of the two indicated real numbers.

\frac{2}{9} and - 2

Multiplication

Question 9 1 Solve the following problem.

6.2 \times 10^{6} \times 5.5 \times 10^{6} =

ALL answers should be entered in scientific notation using a capital

X

for the sign and the

^{\land}

to show the exponent the correct format is

9.52 \times 10^{\land} 4

MacBook Pro

Polynomial Addition

Simplify the following polynomial expression:

(3 x^{2} - 4 x + 7) + (2 x^{2} + 5 x - 3)

Polynomial Subtraction

Subtract the polynomial

3 x^{2} - 2 x + 5

from the polynomial

4 x^{2} + x - 1

.

Polynomial Multiplication

Multiply and simplify the following polynomials:

(3 x^{2} - 2 x + 1) (x^{2} + x - 2)

Polynomial Division

Divide the polynomial

3 x^{3} - 5 x^{2} + 6 x - 4

by

x - 2

Simplifying Expressions

{(\frac{3^{6}}{3^{2}})}^{\frac{1}{2}} =

Evaluate the Expression Using the Given Values

A = p {(1 + \frac{r}{n})}^{n t}

when

p = 200, r = 0.04, n = 1, t = 3

Multiplying Polynomials Using FOIL

Multiply the following polynomials using the FOIL method:

(x - 3) (2 x + 5)

Identifying Degree

What is the degree of the polynomial

4 x^{3} + 2 x^{2} - 5 x + 7

?

Operations on Polynomials

Simplify the polynomial expression

2 x^{3} - 5 x^{2} + 4 x - 3) + (- 3 x^{3} + 2 x^{2} - x + 5)

Negative Exponents

{(\frac{5}{35})}^{- 2} \cdot (2^{- 2})

Evaluating Radicals

Simplify.

(- 27)^{\frac{2}{3}}

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