Math 11 Unit 1 - Examples and Exercises - Mathematics 11 Additional Exercises DIRECTIONS Solve the following problems completely Show complete solutions

Math 11 Unit 1 - Examples and Exercises - Mathematics 11...

This preview shows page 1 out of 1 page.

Mathematics 11 Additional Exercises DIRECTIONS: Solve the following problems completely. Show complete solutions. A. Operations on Algebraic Expressions Perform the following operations then simplify. Addition and Subtraction of Polynomials 1. (4 x 3 - 7 x 2 + 2 x - 4) + (8 x 2 + 3 x - 7) 2. 8 y - 3 y [4 - 2( y - 1)] 3. 12 y + { [2( x - 3 y ) - 3(3 x + 4 y )] + 15 x } Laws of Exponents 1. 4 2 · 4 3 2. ( - 2) 3 ( - 2) 5 3. (7 3 ) 4 4. 4 4 · 25 4 5. 9 7 · 27 5 6. x 10 x 6 7. y 2 y 7 8. π 11 π 11 9. 2 m 2 3 n 3 2 10. 240 x 8 y 2 z 5 - 84 x 2 y 7 z 5 11. 8 4 x 6 y 3 z 2 2 9 x 5 yz 4 12. 2 a 3 b - 3 c - 1 3 a - 2 b - 2 c 3 3 13. 2 4 x 9 y - 7 2 7 x - 2 y - 6 - 2 14. a - 1 + b - 1 ( a + b ) - 1 Multiplication of Polynomials, Special Products 1. (3 x 2 - 2 x )( x + 1) 2. (6 x 2 - 4 x + 1)(4 - 5 x - x 2 ) 3. (9 x 2 + y )(9 x 2 - y ) 4. (2 x 2 - 1) 2 5. ( x - 2) 3 6. (2 a + 1)(4 a 2 - 2 a + 1) 7. 993 · 1007 Division of Polynomials 1. (6 x 3 y 2 + 12 x 2 y 3 - 9 x 2 y 2 ) ÷ (3 x 2 y 2 ) 2. (2 x 2 + 10 x 3 y - 6 xy ) ÷ 2 x 3. ( x 3 - 12 x + 20) ÷ ( x + 3) 4. ( x 3 - 7 x - x 2 + 15) ÷ ( x + 3) Exercises 1. (2 x + 3 x ) - [7 y + ( y - xy )] 2. x 2 + 2 x 3 - [3 xy - (4 xy + 7 x 2 )] 3. ( x + 5)(2 x - 3) 4. ( x + 2 y - 3)(2 x + y - 5) 5. ( x 2 + 2) 3 6. ( x 5 + x 2 - x 3 - 1) ÷ ( x - 1) B. Factoring
Image of page 1

You've reached the end of your free preview.

Want to read the whole page?

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture