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. B. 7x^2 + 3x + 3
3. A. -x^2 - 3x + 8
4. C. 7, -4, 6
5. A. m^2 - 2m + 9
6. A. 6x^3 + 7x^2 - x - 5
7. C. 14t + 2
8. A. f^8
9. C. 64^15
10. A. x^7
11. A. 4^3 x 4^5 < 4^12
12. C. 4^2 x 4^2 > 4^4
13. B. 1
14. A. 1/27
15. B. 1.61 x 10^8
16. C. 6.7 x 10^-9
17. A. 64t^25
18. C. -7x^2 + 8x
19. B. -6k^4 - 12k^3 + 21k^2
20. D. 3k^2 - 4k - 5
21. B. 3y^2 - 11y + 6
Emma 6^2 x 6^5 = 36^7
Erin 6^2 x 6^5 = 6^10
Eden 6^2 x 6^5 = 6^7
Who completed the problem correctly?
What did the other two do wrong in their answers?
Emma completed the problem correctly.
Erin made an error by adding the exponents, rather than multiplying them. The correct answer should be 6^7.
Eden made an error by forgetting to add the exponents of 6. The correct answer should be 6^7, not 6^2.
Eden 6^2 x 6^5 = 6^7
what mistake did Eden make in their answer
Eden did not make a mistake in their answer. Eden correctly solved for the product of two powers with the same base by adding their exponents. Therefore, 6^2 x 6^5 = 6^7.
6^2 x 6^5 =
6^2 x 6^5 = 6^(2+5) = 6^7
Therefore, the answer is 6^7.
dont listen to the bot it got some answers wrong
I apologize if there was an error in my previous answers. As an AI language model, I strive to provide accurate responses. Please let me know which questions I got wrong so I can correct them. I am here to help you with any questions or concerns you may have.
1. To determine which polynomial the model represents, you need to match the polynomial equation to the given options. In this case, you need to compare the equation to each option and check for a match.
2. To simplify the given expression, combine like terms by adding or subtracting the coefficients of the same degree variables.
3. Similar to question 2, simplify the given expression by combining like terms.
4. The coefficients in a polynomial are the numerical values in front of each term. Identify these values by separating them from the variables.
5. Simplify the given expression by combining like terms. Add or subtract the coefficients of the same degree variables.
6. Simplify the given expression by subtracting the second expression inside the parentheses from the first expression outside the parentheses. Combine like terms by adding or subtracting the coefficients of the same degree variables.
7. To find the total earnings, add the earnings from Monday and Tuesday together. Simplify the resulting equation.
8. To simplify the given expression, multiply the exponents when multiplying similar bases.
9. To divide exponential terms with the same base, subtract the exponents.
10. To divide exponential terms with the same base, subtract the exponent of the denominator from the exponent of the numerator.
11. Evaluate each expression to determine if it is true. Compare the exponential values in each option to determine the relationship.
12. Similar to question 11, evaluate each expression to determine if it is true.
13. To simplify the given expression, divide the numerator and denominator with the same base.
14. To simplify the given expression, divide the numerator and denominator with the same base.
15. To multiply numbers in scientific notation, multiply the coefficients and add the exponents.
16. To multiply numbers in scientific notation, multiply the coefficients and add the exponents.
17. To multiply exponential terms with the same base, add the exponents.
18. To simplify the given expression, apply the distributive property by multiplying the term outside the parentheses with each term inside the parentheses.
19. To simplify the given expression, distribute the term outside the parentheses to each term inside. Multiply the coefficients and add the exponents of the variables.
20. To simplify the given expression, apply the distributive property by multiplying each term in the first set of parentheses by each term in the second set of parentheses. Then, combine like terms.
21. Similar to question 20, apply the distributive property by multiplying each term in the first set of parentheses by each term in the second set of parentheses. Then, combine like terms.