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# Basic Algebra

### Solving Equations

Solve the following proportion for z z + 4/z = 22/14

### Writing in Simplified Radical Form

Rewrite the following in simplified radical form. Principal square root 20y^10 Show all work.

### Rewrite in simplified radical form.

Rewrite the following in simplified radical form. Principal square root of 48t^4. Assume that all variables represent positive real numbers.

### Simplifying the principal square root

Simplify the principal square root of 64 z^4. Assume that z represents a positive real number.

### Simplifying Expressions

Simplify the following and write answer in lowest terms. 16/49

### Minimum and maximum surface areas of a cube are found.

I need to find the maximum and minimum surface areas for 2 cubes with a total volume of 432 in^3. No other perameters are specified. I've been able to use common sense to find the max is 432 sq/inches (two 6"^3 cubes) and min is 343.051 sq (one 7.5595"^3 cube and one cube of 0.171"^3). I need help with the equations for the maxi

### Differentiating Functions with Fractal Exponents

Please see the attached file for the fully formatted problems.

4/y = -6/ y + 5

3 divided by 125

### Multiply and Simplify Function

(5y + t + 4) ( 2y + 2t + 6)

Factor the quadratic expression w^2 - 2w + 1

### Multiply and Simplify Functions

Perform the following multiplications and simplify 3 u^7 * 4x^2 u^9 * 2x

### Distributive Property of Parenthesis

Use DP to remove parenthesis -6 ( 3t - 4z + 3).

### Distributive Property Parenthesis

Use DP to remove the parenthesis -7(-2w^2 + 1 + 6t^3)

### Distributive Property

Use distributive property to remove parenthesis. (3 - 5 u + 2y) (-9)

### Using Distributive Property to Remove Parenthesis

Use distributive property to remove parenthesis - ( -5 x - 3y -6).

### Parenthesis Distributive Property

Use distributive property to remove the parenthesis -5w (-6 - t - 2u)

### Finding Values of Inverse Trigonometric Functions

Find the values of the following Inverse Trigonometric Functions. (Do not use calculator, if possible) 1) Sin^-1 (-0.5) 2) Cos^-1 [(-square root of 2)/2] 3) Tan^-1 [(square root of 3)/3] 4) Sin^-1 [ Sin (6 pi/7) ] 5) Cos^-1 [ Cos (7 pi/6)] 6) Cos^-1 [ Cos (- pi/3) To see the questions in their true mathematical fon

49 - 81x^2

Wx + yw + 6y +6x

27 + 8x^3

12x^2 -8y - 6y^2

### Find the GCF and simplify

22ux^2 25 and 20x^4 x^2 keywords: greatest common factors

### Factoring Equations

3x^2 + 29xy +18y^2

6x^2 + 11x - 10

X^2 - 3x - 18

25 -9z^2

### Factor the Equation

10w^5 + 65 w^4 + 75w^3

3u^4 y^2 - 3y^2.

### perfect square of values

Find the value of a such that is a perfect square z^2 + 16z + a