1. Suppose you earned 8t - 3 dollars on Monday and 6t + 5 dollars on Tuesday. What were you total earnings? Simplify your answer.
A) 2t + 2
B) 2t - 8
C) 14t + 2
D) 14t - 8
Answer: A
2. f^2 • f^4
A) (2f)^8
B) (2f)^6
C) f^8
D) f^6
Answer: D
3. 100^12/100^8
A) 100^12/8
B) 100^96
C) 100^4
D) 100^20
Answer: B
1. Suppose you earned 8t - 3 dollars on Monday and 6t + 5 dollars on Tuesday. What were you total earnings? Simplify your answer.
A) 2t + 2
B) 2t - 8
C) 14t + 2
D) 14t - 8
Answer: A
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8t+6t= 14 t !!!
so
14 t + 2
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2. f^2 • f^4
A) (2f)^8
B) (2f)^6
C) f^8
D) f^6
Answer: D
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Yes
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3. 100^12/100^8
A) 100^12/8
B) 100^96
C) 100^4
D) 100^20
Answer: B
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100^(12-8) = 100^4
C
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so uuuh, anyone got the answers for the whole test?
;p
Thank you!
You are welcome.
To find the total earnings in the given scenario, you need to add the amounts earned on Monday and Tuesday.
On Monday, you earned 8t - 3 dollars, and on Tuesday, you earned 6t + 5 dollars.
To add these amounts, you simply combine the like terms. In this case, you have the variable term 8t and the constant term -3 on Monday, and the variable term 6t and the constant term 5 on Tuesday.
Adding the variable terms, 8t + 6t, gives you 14t.
Adding the constant terms, -3 + 5, gives you 2.
Thus, the total earnings is 14t + 2.
Therefore, the correct answer is option A) 2t + 2.
For the second question, you are asked to simplify the expression f^2 • f^4.
When multiplying variables with the same base, you add their exponents. In this case, both terms have the base f.
The exponent of f in the first term is 2, and the exponent of f in the second term is 4.
Adding these exponents, 2 + 4, gives you 6.
Therefore, f^2 • f^4 simplifies to f^6.
Hence, the correct answer is option D) f^6.
For the third question, you are asked to evaluate the expression 100^12/100^8.
When dividing powers with the same base, you subtract the exponents. In this case, both terms have the base 100.
The exponent of 100 in the numerator is 12, and the exponent of 100 in the denominator is 8.
Subtracting these exponents, 12 - 8, gives you 4.
Therefore, 100^12/100^8 simplifies to 100^4.
Thus, the correct answer is option C) 100^4.