Problem 3
Which of the following expressions is equivalent to \(7-2(y-1) ?\) (A) \(9-2 y\) (B) \(5-2 y\) (C) \(6-2 y\) (D) \(4+2 y\)
Problem 3
Which of the following operations could be performed on both sides of the inequality \(-2 x>4\) to require the direction of the inequality sign be changed while keeping \(x\) on the left-hand side of the inequality? (A) Add 4 (B) Subtract 7 (C) Divide by -2 (D) Multiply by 12
Problem 4
\(6 a^{2}+8 a b-4 a c\) is equivalent to which of the following expressions? (A) \(a(3 a+4 b+2 c)\) (B) \(2 a(3 a+4 b-2 c)\) (C) \(4 a(a+b-2 c)\) (D) \(2 a(3 a-4 b+2 c)\)
Problem 4
What are the values of \(a\) in this equation? $$ 3 a^{2}-27 a-108=0 $$ (A) \(-9,-3\) (B) \(6,-4\) (C) 9,6 (D) \(12,-3\)
Problem 4
What is a possible value for \(x\) in the expression below? $$ -6<\frac{8}{3} x<-\frac{1}{4} $$ (A) 8 (B) 1 (C) \(-2\) (D) \(-5\)
Problem 4
Which of the following is a solution to the equation below? \((x-3)^{2}-81=0\) (A) 12 (B) 11 (C) 9 (D) 8
Problem 5
What represents the range of \(x\) -values in this inequality? \(-3(x+4)>2 x\) (A) \(x<-\frac{12}{5}\) (B) \(x \leq-\frac{1}{3}\) (C) \(x>\frac{7}{8}\) (D) \(x \geq 3 \frac{1}{2}\)
Problem 5
When Andrew does his homework, he always takes 10 minutes to set up his desk and get totally ready to begin. Once he starts working, he is able to complete 1 homework problem every 5 minutes. Assuming that Andrew studies for over 10 minutes, which of the following represents the total number of homework problems, \(p\), Andrew is able to complete in \(m\) minutes? (A) \(p=5 m+10\) (B) \(p=5 m-1\) (C) \(p=\frac{1}{5}(m-10)\) (D) \(p=\frac{1}{10}(m-5)\)
Problem 6
The expression \(\left(\frac{2}{3} x+1\right)\left(\frac{3}{4} x-1\right)=?\) (A) \(\frac{1}{6} x^{2}-\frac{1}{3} x+1\) (B) \(\frac{1}{4} x^{2}+\frac{1}{12} x-4\) (C) \(\frac{1}{2} x^{2}+\frac{1}{12} x-1\) (D) \(x^{2}+\frac{1}{4} x-1\)
Problem 6
Which of the following would provide the most specific and relevant elaboration to conclude this sentence? (A) NO CHANGE (B) are \(2.5\) times as likely as those with a basic reading ability to earn \(\$ 850\) or more per week. (C) are twice as likely as those who do not read to spend over \(\$ 100\) a year on books and periodicals. (D) are demonstrably more effective at remembering not just the broad ideas of what they read, but the finer details.
