Polynomials and Properties of Exponents Unit Test Part 1

Question

Please only use this to check your answers.
Equations with / are fractions and ^ are for exponents.

1. Which polynomial does the model represent

A. -x^3 + 2x^2 - 3x + 2
B. x^2 + x - 2
C. -x^2 - x + 2
D. -x^2 + x - 2 ***

For questions 2-3, simplify each polynomial.

2. 3x^2 + 6 - 2x + 5x - 4x^2 + 9

A. -x^2 + 3x + 15 ***
B. 7x^2 + 3x + 3
C. x^2 - 3x + 15
D. -x^2 + 7x + 15

3. 4x^2 + 8x - 11x + 6 - 5x^2 + 2

A. -x^2 - 3x + 8 ***
B. -x^2 + 3x + 8
C. x^2 - 3x + 8
D. x^2 + 3x + 8

4. What are the coefficients in the polynomial
7x^2 - 4x + 6?

A. -7, 4
B. 7, 4, -6
C. 7, -4, 6
D. 7, -4 ***

5. (m^2 - m - 4)+(m - 5)

A. m^2 - 2m + 9
B. m^2 + 2m - 9
C. m^2 - 2m - 9
D. m^2 - 9 ***

6. (7x^2 - x - 2)-(-6x^3 + 3)

A. 6x^3 + 7x^2 - x - 5 ***
B. -6x^3 + 7x^2 - x + 1
C. -x^3 - x - 5
D. x^2 - x + 1

7. Suppose you earned 8t - 3 dollars on Monday and 6t + 5 dollars on Tuesday. What were your total earnings? Simplify your answer.

A. 2t + 2
B. 2t - 8
C. 14t + 2 ***
D. 14t - 8

8. f^7 x f^1

A. f^8 ***
B. f^7
C. (2f)^8
D. (2f)^7

9. 64^10/64^5

A. 64^10/5
B. 64^50
C. 64^15
D. 64^5 ***

10. x^11/x^4

A. x^7 ***
B. x^15
C. x^44
D. x^11/4

11. Which of the following expressions is true?

A. 4^3 x 4^5 < 4^12 ***
B. 5^2 x 5^3 > 5^5
C. 3^2 x 3^4 = 3^2
D. 5^2 x 5^4 = 5^8

12. Which of the following expressions is true?

A. 2^4 x 2^3 = 12
B. 3^3 x 3^6 > 3^8 ***
C. 4^2 x 4^2 > 4^4
D. 5^5 x 5^2 = 5^10

Write the value of the expression.

13. 2^3/2^3

A. 0
B. 1 ***
C. 2
D. 3

14. 3^3/3^6

A. 1/27 ***
B. 1/9
C. 9
D. -27

Multiply Write the result in scientific notation.

15. (2.3 x 10^1)(7 x 10^6)

A. 1.61 x 10^7
B. 1.61 x 10^8 ***
C. 9.3 x 10^6
D. 9.3 x 10^7

16. (1.7 x 10^-4)(5 x 10^-5)

A. 8.5 x 10^-9 ***
B. 8.5 x 10^20
C. 6.7 x 10^-9
D. 6.7 x 10^20

17. 8t^5 x 8t^5

A. 64t^25
B. 64t^10 ***
C. 16t^10
D. 16t^5

18. -x(7x - 8)

A. 6x^2 - 9x
B. -7x - 8x
C. -7x^2 + 8x ***
D. 7x + 8x

19. 3k^2(-2k^2 - 4k + 7)

A. -6k^3 - k + 10k
B. -6k^4 - 12k^3 + 21k^2 ***
C. k^4 - k^3 + 10k^2
D. 6k^4 - 12^3 + 10k^2

20. (3k + 2)(k - 3)

A. 3k^2 - 7k - 5
B. 3k^2 - 7k - 6 ***
C. 3k^2 - 4k - 6
D. 3k^2 - 4k - 5

21. (-3y + 2)(y + 3)

A. -3y^2 - 7y + 6 ***
B. 3y^2 - 11y + 6
C. 3y^2 - 7y - 6
D. 3y^2 + 11y + 6

Short Answer

22. Look at the given triangles.
a. Write an expression in simplest form for the perimeter of each triangle.

b. Write another expression in simplist form that shows the difference between the perimeter of the larger triangle and the perimeter of the smaller triangle.

c. find the perimeter for each triangle when x = 3

*Your own answer*

23. Emma, Erin, and Eden completed the problem to the right.

a. Who completed the problem correctly?

b. What did the other two students do wrong in their answers?

*Your own answer*

Answer 1

1. D. -x^2 + x - 2
2. A. -x^2 + 3x + 15
3. A. -x^2 - 3x + 8
4. D. 7, -4
5. D. m^2 - 9
6. A. 6x^3 + 7x^2 - x - 5
7. C. 14t + 2
8. A. f^8
9. D. 64^5
10. A. x^7
11. A. 4^3 x 4^5 < 4^12
12. B. 3^3 x 3^6 > 3^8
13. B. 1
14. A. 1/27
15. B. 1.61 x 10^8
16. A. 8.5 x 10^-9
17. A. 64t^25
18. C. -7x^2 + 8x
19. B. -6k^4 - 12k^3 + 21k^2
20. B. 3k^2 - 7k - 6
21. A. -3y^2 - 7y + 6
22. a. Triangle 1: 2x + 3, Triangle 2: 3x + 1
b. x + 2
c. Triangle 1: 8, Triangle 2: 7
23. a. Emma
b. Erin forgot to distribute the negative sign and Eden made an error when combining like terms.