Sophia Learning, College Algebra, Milestone 1.

18 questions were answered correctly. 2 questions were answered incorrectly. 1 Find the solution for x if |6x + 8|=32. • • • • RATIONALE CONCEPT 2 Suppose that 3y – 5 = 45 and ...

18 questions were answered correctly. 2 questions were answered incorrectly. 1 Find the solution for x if |6x + 8|=32. • • • • RATIONALE CONCEPT 2 Suppose that 3y – 5 = 45 and y = 3x – 2. Which of the following equations is equivalent to 3y – 5 = 45, but written only in terms of x? • 9x – 6 = 50 • 9x – 6 = 40 • 15x – 10 = 40 • 15x – 10 = 50 RATIONALE CONCEPT 3 Jacob opened a money-market account. In the first month, he made an initial deposit of $500, and he plans to contribute an additional $75 every month. The account does not pay any interest. After how many months will he have a total of $1,475? • 12 months • 15 months • 13 months • 14 months RATIONALE CONCEPT 4 Simplify the following expression. ‐4(x – 2) + 3(x + 2) • -x – 2 • -x + 14 • 7x + 4 • 7x - 6 RATIONALE CONCEPT 5 Dan paid $498.09 (including sales tax) for a laptop computer. The sales tax in his state is 7%. What was the price of the laptop before the sales tax was added? • $463.25 • $469.75 • $472.00 • $465.50 RATIONALE CONCEPT 6 Use the FOIL method to evaluate the expression: • • • • RATIONALE combine. We can combine the constant terms, -14 and 3, to get -11. We can also combine the radical terms, and , to get . The expression is equal to . CONCEPT If a vehicle is going 60 mph, how many feet does it travel in one second? • 528 feet • 44 feet • 264 feet • 88 feet correct RATIONALE In CONCEPT 8 For the equation 1.75n = 7, what is the value of n? • 4 • 6 • 0.25 • 5.25 RATIONALE CONCEPT 9 Which of the following is equivalent to ? • • • • RATIONALE CONCEPT 10 Rationalize the denominator and simplify the following expression: • • • • .............................................................................continued........................................................................................................