1. The width of a rectangle is 9 inches less than 2 times thelength. If x represents the length, write an algebraic expressionin terms of x that represents the area of the rectangle. Simplifythe expression.
2. Add:
3p2 â 5p â 4 and 9p2 + 10p â 2
3. Is the algebraic expression a polynomial? If so, give itsdegree.
9x3 + 6x6 + 8
4. Perform the indicated operations and simplify.
5x â 4x[8 â 3(x â 2)]
5. Multiply and simplify.
(3x â 1)(2x + 5)
6. Multiply and simplify:
(5x â 3y)2
7. Multiply and simplify:
(3x2 â 2x â 1)(x2 + x + 5)
8. Subtract 4x2 â 5x from the sum of 9x2 â 2 and 6x â 1.
9. Factor completely relative to the integers.
x2 â 8x + x â 8
10. Factor completely relative to the integers.
25x2 â 5x â 2
11. Factor completely relative to the integers.
49a2b â b3
12. Factor completely relative to the integers.
8a3 + 27
13. Subtract and reduce to the lowest terms:
2/4 - 1/6
14. Factor completely relative to the integers.
x2 + 36
15. Reduce to lowest terms:
18/54
16. Factor completely relative to the integers:
16x2 + 40x + 25
17. Factor out, relative to the integers, all factors common to allterms.
49x4 â 70x3 + 21x2
1. The width of a rectangle is 9 inches less than 2 times thelength. If x represents the length, write an algebraic expressionin terms of x that represents the area of the rectangle. Simplifythe expression.
2. Add:
3p2 â 5p â 4 and 9p2 + 10p â 2
3. Is the algebraic expression a polynomial? If so, give itsdegree.
9x3 + 6x6 + 8
4. Perform the indicated operations and simplify.
5x â 4x[8 â 3(x â 2)]
5. Multiply and simplify.
(3x â 1)(2x + 5)
6. Multiply and simplify:
(5x â 3y)2
7. Multiply and simplify:
(3x2 â 2x â 1)(x2 + x + 5)
8. Subtract 4x2 â 5x from the sum of 9x2 â 2 and 6x â 1.
9. Factor completely relative to the integers.
x2 â 8x + x â 8
10. Factor completely relative to the integers.
25x2 â 5x â 2
11. Factor completely relative to the integers.
49a2b â b3
12. Factor completely relative to the integers.
8a3 + 27
13. Subtract and reduce to the lowest terms:
2/4 - 1/6
14. Factor completely relative to the integers.
x2 + 36
15. Reduce to lowest terms:
18/54
16. Factor completely relative to the integers:
16x2 + 40x + 25
17. Factor out, relative to the integers, all factors common to allterms.
49x4 â 70x3 + 21x2