7. Suppose you earned 7t – 1 dollars on Monday and 8t + 5 dollars on Tuesday. What were your total earnings? Simplify your answer. (1 point)
–t + 4 dollars
–t – 6 dollars
15t – 6 dollars
15t + 4 dollars
8. f 2 ∙ f 3 (1 point)
f 5
f 6
(2f)5
(2f)6
9. 144^14 over 144^2 (1 point)
14416
14412
14428
144^14 over 2
10. equation (1 point)
equation
x48
x19
x13
11. Which of the following expressions is true? (1 point)
43 • 44 = 412
52 • 53 > 55
32 • 35 = 310
52 • 54 < 58
12. Which of the following expressions is true? (1 point)
83 • 82 < 84
44 • 44 = 416
22 • 26 < 28
33 • 33 > 35
For questions 13 and 14, write the value of the expression.
13. equation (1 point)
1
4
5
0
14. equation (1 point)
one over twenty-seven
one over nine
9
–27
For questions 15 and 16, multiply. Write the result in scientific notation.
15. (1.8 • 101)(7 • 105) (1 point)
1.26 • 107
8.8 • 106
8.8 • 105
1.26 • 106
16. (1.7 ∙ 10–4)(5 ∙ 10–5) (1 point)
8.5 ∙ 10–9
8.5 ∙ 1020
6.7 ∙ 10–9
6.7 ∙ 1020
For questions 17–21, simplify the expression.
17. 8t5 ∙ 8t5 (1 point)
64t25
64t10
16t10
16t5
my answers
7.d
8.a
9.b
10.d
11.d
12.d
13.a
14.a
15.a
16.a
17.b
7. You got it! The correct answer is 15t + 4 dollars. Great job!
8. Oops! Wrong answer. The correct answer is f 5. Keep trying!
9. Oops! Wrong answer. The correct answer is 144^12. Math can be a little tricky sometimes!
10. Oops! Wrong answer. The correct answer is equation. Don't worry, sometimes equations can stump us too!
11. Oops! Wrong answer. The correct answer is 52 • 53 > 55. It's all about those greater than and less than signs!
12. Oops! Wrong answer. The correct answer is 22 • 26 < 28. So close!
13. Oops! Wrong answer. The correct answer is 0. Don't worry, we all make mistakes sometimes!
14. Oops! Wrong answer. The correct answer is one over nine. Remember, fractions can be a little challenging!
15. Oops! Wrong answer. The correct answer is 1.26 • 107. Multiplying in scientific notation can be a bit tricky!
16. Oops! Wrong answer. The correct answer is 8.5 ∙ 10–9. Scientific notation can be a little confusing sometimes!
17. Oops! Wrong answer. The correct answer is 64t10. Keep practicing simplifying expressions, you'll get it!
Don't worry about getting the answers wrong, sometimes math can be tough. Keep practicing and you'll get it!
Calculations and explanations:
7. To find the total earnings, we need to add the earnings from Monday and Tuesday.
Earnings on Monday: 7t - 1
Earnings on Tuesday: 8t + 5
Total earnings = (7t - 1) + (8t + 5)
Simplifying the expression:
= 7t + 8t - 1 + 5
= 15t + 4
Therefore, the total earnings are 15t + 4 dollars.
Answer: 15t + 4 dollars.
8. To find the product of f2 and f3, we simply multiply them together.
f2 ∙ f3 = 2 ∙ 3
= 6
Therefore, the product of f2 and f3 is 6.
Answer: 6.
9. To simplify the expression 144^14 / 144^2, we subtract the exponents of 144.
144^14 / 144^2 = 144^(14-2)
= 144^12
Therefore, the simplified expression is 144^12.
Answer: 144^12.
10. The expression is given as "equation," so an actual value is unknown.
Therefore, the answer is "equation."
Answer: equation.
11. To determine which expression is true, we need to evaluate each option.
43 • 44 = 1892
52 • 53 = 2756
32 • 35 = 1120
52 • 54 = 2808
None of these options are equal, so none of them is true.
Therefore, none of the expressions is true.
Answer: None of the expressions is true.
12. To determine which expression is true, we need to evaluate each option.
83 • 82 = 664
44 • 44 = 1936
22 • 26 = 572
33 • 33 = 1089
None of these options are true.
Therefore, none of the expressions is true.
Answer: None of the expressions is true.
13. The value of the expression "equation" is not provided.
Therefore, the answer is "equation."
Answer: equation.
14. The value of the expression "equation" is not provided.
Therefore, the answer is "equation."
Answer: equation.
15. To multiply (1.8 • 101) by (7 • 105), we multiply the decimal parts and add the exponents of 10.
(1.8 • 101)(7 • 105) = (1.8 • 7)(101+5)
= 12.6 • 106
Therefore, the result is 12.6 • 106.
Answer: 12.6 • 106.
16. To multiply (1.7 • 10-4) by (5 • 10-5), we multiply the decimal parts and add the exponents of 10.
(1.7 • 10-4)(5 • 10-5) = (1.7 • 5)(-4+(-5))
= 8.5 • 10-9
Therefore, the result is 8.5 • 10-9.
Answer: 8.5 • 10-9.
17. To simplify the expression 8t5 ∙ 8t5, we multiply the coefficients and add the exponents of t.
8t5 ∙ 8t5 = 8∙8 ∙ t5+5
= 64t10
Therefore, the simplified expression is 64t10.
Answer: 64t10.
7. To find the total earnings, you need to add the earnings from Monday and Tuesday. The earnings from Monday are given as 7t - 1 dollars, and the earnings from Tuesday are given as 8t + 5 dollars. To simplify the expression, you can combine the like terms:
Total earnings = (7t - 1) + (8t + 5)
= 15t + 4
So the correct answer is 15t + 4 dollars. Your answer of 7d is incorrect.
8. To multiply f2 by f3, you need to multiply the bases (f) and add the exponents (2 and 3).
f2 • f3 = f(2+3) = f5
So the correct answer is f5. Your answer of 8a is incorrect.
9. To simplify the expression 144^14 / 144^2, you need to subtract the exponents since the bases are the same (144).
144^14 / 144^2 = 144^(14-2) = 144^12
So the correct answer is 144^12. Your answer of 9b is incorrect.
10. The question is asking for an equation, but you've provided "equation" as your answer. Please provide the correct equation. Your answer of 10d is incorrect.
11. To determine which expression is true, you need to evaluate each expression.
43 • 44 = 1892
52 • 53 = 2756
32 • 35 = 1120
52 • 54 = 2808
The correct answer is "32 • 35 = 1120." Your answer of 11d is incorrect.
12. Evaluating each expression:
83 • 82 = 6889
44 • 44 = 1936
22 • 26 = 572
33 • 33 = 1089
The correct answer is "44 • 44 = 1936." Your answer of 12d is incorrect.
13. You've provided "equation" as your answer, but the question requires you to provide a specific value. Please provide the correct value. Your answer of 13a is incorrect.
14. You've provided "equation" as your answer, but the question requires you to provide a specific value. Please provide the correct value. Your answer of 14a is incorrect.
15. To multiply (1.8 • 10^1)(7 • 10^5), you need to multiply the factors (1.8 and 7) and add the exponents (1 and 5).
(1.8 • 10^1)(7 • 10^5) = (1.8 • 7)(10^(1+5)) = 12.6 • 10^6 = 1.26 • 10^7
So the correct answer is 1.26 • 10^7. Your answer of 15a is correct.
16. To multiply (1.7 • 10^-4)(5 • 10^-5), you need to multiply the factors (1.7 and 5) and add the exponents (-4 and -5).
(1.7 • 10^-4)(5 • 10^-5) = (1.7 • 5)(10^(-4-5)) = 8.5 • 10^-9
So the correct answer is 8.5 • 10^-9. Your answer of 16a is correct.
17. To simplify 8t^5 • 8t^5, you need to multiply the coefficients (8 and 8) and add the exponents (5 and 5).
8t^5 • 8t^5 = 8^2t^(5+5) = 64t^10
So the correct answer is 64t^10. Your answer of 17b is correct.