Translate the sentence to an equation using the variable x. Then solve the equation.4 times a number equals 10 less than 5 times the number.
A. 4x = 5x - 10; 10
B. 4x - 10 = 5x; - 10
C. 4x = 10 - 5x; 
D. 4x = 10 - 5; 
Answer: A
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Write the negation of the proposition.She earns more than me.
A. She earns the same as me. B. She does not earn more than me. C. She does not earn less than me. D. She earns less than me.
Answer each question appropriately.If differentiable functions y = F(x) and y = G(x) both solve the initial value problem 
on an interval I, must 
for every x in I? Justify the answer.
A. F(x) = G(x) for every x in I because integrating f(x) results in one unique function. B. F(x) and G(x) are not unique. There are infinitely many functions that solve the initial value problem. When solving the problem there is an integration constant C that can be any value. F(x) and G(x) could each have a different constant term. C. There is not enough information given to determine if F(x) = G(x). D. F(x) = G(x) for every x in I because when given an initial condition, we can find the integration constant when integrating f(x). Therefore, the particular solution to the initial value problem is unique.
Write a numerical expression for the phrase and simplify it.11 less than the difference between 20 and -5
A. 11 - 20 - (-5); -4 B. -5 - 20 - 11; -36 C. [20 - (-5)] - 11; 14 D. 5 - 20 - 11; -36
Use the product rule to multiply. Assume all variables represent positive real numbers.
? 
A. 
B. 
C. 7x2
D. 490x2