Add 5x3 ndash 3x2 5 and 10x2 ndash 11 using the

Question

1. Write the expression in simplest exponential form.

2r • 2r • 2r • 2r • 2r • 2r

A) 6•(2r)

B) (2r)⁶

C) 2r⁶

D) 12r⁶

3. Simplify the expression.

(3x²y²)³(5xy³)

A) 15x⁷y⁹

B) 135x⁶y⁹

C) 135x⁷y⁹

D) 15x7y5

4. Use the properties of exponents to simplify the expression.

(2 *19⁰)³

A) 2

B) 13,718

C) 54,872

D) 8

6. Use the properties of exponents to simplify the expression.

m^–2 • m⁹

A) m¹¹

B) m^–18

C) m⁷

D) 7m

7. Express the number 0.00000259 in scientific notation.

A) 2.59 *  10⁶

B) 2.59 *  10^-6

C) 25.9  * 10^-6

D) 2.59  * 10^-5

8. Peform the indicated calculations.  Write your result in scientific notation.

(–2.5 * 10⁸)(7  *10⁹)

A) –17.5*  10¹⁷

B) –1.75 * 10⁷²

C) –1.75 * 10¹⁸

D) –11.75 * 10¹⁶

9. True or False:  A polynomial can have more than four terms.

10. True or False:  A polynomial with exactly one term is called a monomial.

11. Determine the degree of the polynomial 3x² + 9x³ –5.

A) 9

B) 3

C) 2

D) 1

12. Which one of the following polynomials is written in descending order? 

A) x¹⁰ + 2x⁵ + 18x⁴ –12x³ + x+ 9

B) 5 + 4x + 3x² + 2x³ + x⁴

C) x²² + 2x¹⁴ + 18x⁵ –12x³ + 1+ 9x

D) 14x² + 12x⁴ + 10x⁵ + 5x³ + 2x+ 1

13. Add 5x – 4 and –13x + 10.

A) –8x + 5

B) 18x + 14

C) –8x + 6

D) 18x + 15

14. Add 5x³ – 3x² + 5 and 10x² – 11 using the vertical method. Write the resulting polynomial in descending order.

A) 5x³ + 7x² – 6

B) 5x³ – 7x² – 6

C) 5x³ – 7x² + 6

D) 5x³ + 7x² + 6

15. Subtract 5x – 4 from 9x + 12.

A) 4x + 8

B) 4x + 16

C) –4x + 16

D) –4x + 8

16. Multiply 6a² and 3a⁶.

A) 18a¹²

B) 9a⁸

C) 18a⁸

D) 36a¹²

17. Multiply x² – 5xy + 4y² by 5xy².

A) 5x³y² – 25x²y³ + 20xy²

B) 5x³y² + 25x²y³ + 20xy⁴

C) 5x³y² – 25x²y² + 20xy²

D) 5x³y² – 25x²y³ + 20xy⁴

18. Multiply 8y –1 by 2y + 5.

A) 16y² – 38y - 5

B) 16y² + 42y-  5

C) 16y2 + 38y - 5

D) 16y² + 38y + 5

19. Multiply 8x + 2 by 5x + 4.

A) 40x² + 26x + 8

B) 40x² + 13x + 8

C) 40x² + 42x + 8

D) 40x² + 36x + 8

20. Find (6x + 3)².

A) 36x² + 36x + 9

B) 36x² + 18x + 9

C) 36x²+ 9

D) 6x² + 36x + 18

21. Find (y – z)(y + z).

A) y² + z2

B) y² + 2yz – z²

C) y² – z²

D) y² + yz – z²

22. Multiply.

(x 2)(x² + 2x + 4)

A) x³ + x² - 27

B) x³ - 8

C) x³ + 4x² + 8x + 8

D) x³ – 4x² + 8x – 8

23. Divide 4b⁶ + 24b⁴ – 8b² by –2b²

A) –2b³ – 12b² + 4b

B) –b⁴ – 12b² + 4b

C) –2b⁴ – 12b² + 4

D) 2b⁴ + 12b² – 4