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
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
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
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
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
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?
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
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
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
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
1. B. x^2 + x - 2
2. A. -x^2 + 3x + 15
3. A. -x^2 - 3x + 8
4. C. 7, -4, 6
5. B. m^2 + 2m - 9
6. A. 6x^3 + 7x^2 - x - 5
7. C. 14t + 2
8. A. f^8
9. B. 64^50
10. A. x^7
11. D. 5^2 x 5^4 = 5^8
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^10
18. C. -7x^2 + 8x
19. B. -6k^4 - 12k^3 + 21k^2
20. D. 3k^2 - 4k - 5
21. A. -3y^2 - 7y + 6