i need help on my algebra quiz

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1. Use inequality notation and interval notation to describe the set.

y is no more than 20.

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2. Write the exponential expression below in simplest form.

left parenthesis fraction numerator 6 a squared b to the power of 6 over denominator 5 a to the power of 6 b to the power of 5 end fraction right parenthesis squared

3. Perform the operation and write the result in standard form. Show all work.

left parenthesis 7 x squared plus 7 right parenthesis minus left parenthesis x squared minus 4 x plus 7 right parenthesis

4. Factor out the common factor.

4 x cubed minus 48 x

5. Find the domain of the expression.

square root of x plus 8 end root

6. Evaluate the expression. Show all work.

open vertical bar minus 4 close vertical bar minus open vertical bar minus 8 close vertical bar

7. Simplify the following radical expression.

3 root of minus 384 u to the power of 4 v to the power of 5 end root

8. Multiply or find the special product. Show all work.

left parenthesis 6 minus 7 x right parenthesis squared

9. Completely factor the expression.

15 s cubed plus 43 s squared plus 30 s

10. Write the rational expression in simplest form.

fraction numerator x squared minus 25 over denominator 5 minus x end fraction

11. Evaluate the expression for the value of x = -4

x squared minus 5 x plus 4

12. Perform the operations and simplify.

fraction numerator z to the power of begin display style bevelled 5 over 9 end style end exponent t to the power of begin display style bevelled 8 over 9 end style end exponent over denominator left parenthesis z t right parenthesis to the power of begin display style bevelled 1 third end style end exponent end fraction

13. Write the polynomial in standard form and identify the degree and leading coefficient of the polynomial.

minus x plus 16 x squared plus 1

14. Perform the addition and simplify.

minus 1 over x plus fraction numerator 4 over denominator x to the power of 4 plus 4 end fraction plus fraction numerator 4 over denominator x to the power of 5 plus 4 x end fraction

 
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