Problem 2
Write \(5(3 x-2 y+4)\) in an equivalent form without parentheses. A. \(15 x-2 y+4\) B. \(15 x-10 y+20\) C. \(53 x-2 y+4\) D. \(53 x-52 y+54\)
Problem 6
___________ shows 鈥渆ight less than the cube of a number.鈥 $$ \begin{array}{|l|l|} \hline \text { Select.... } & \nabla \\ \hline 3 x-8 \\ \hline x^2-8 \\ \hline x^3-8 \\ \hline \end{array} $$
Problem 9
In the expression \(4 x^2+6\), which quantity is a coefficient? A. 4 B. \(x\) C. 2 D. 6
Problem 27
shows "the sum of the square of a number and three less than the number." $$ \begin{array}{|l|l|} \hline \text { Select... } & \nabla \\ \hline x^2+x-3 \\ \hline x^2-3 x \\ \hline 3-x+x^2 \\ \hline \end{array} $$
Problem 33
Factor \(12 x^2 y+40 x y-32 y\) completely. A. \(4 y(3 x-2)(x+4)\) B. \(4(3 x y-2 y)(x+4)\) C. \(4(3 x-2)(x y+4 y)\) D. \((3 x y-2 y)(4 x+16)\)
Problem 37
Denny leaves on a drive across the state at 8:00 a.m. In the afternoon, his average speed in miles per hour is given by \(\frac{d}{t+4}\), where \(t\) is the number of hours past noon and \(d\) is the distance driven. Find Denny's average speed at 2:00 p.m, when he has driven 390 miles. A. 70 miles per hour B. 60 miles per hour C. 75 miles per hour D. 65 miles per hour
Problem 42
Simplify \(\frac{x+1}{2 x-4}+\frac{x-1}{2 x+4}-\frac{2 x}{x^2-4}\). Write your answer in lowest terms. A. \(\frac{x^2-x+1}{2(x-1)(x+1)}\) B. \(\frac{2 x^2-4 x+4}{2(x-2)(x+2)}\) C. \(\frac{x^2-2 x+2}{(x-2)(x+2)}\) D. \(\frac{x^2-x+1}{(x-1)(x+1)}\)
Problem 44
Multiply \(\frac{x^2-2 x-3}{x^2+3 x} \cdot \frac{x^2-9}{x^2+2 x+1}\). Write your answer in lowest terms. A. \(\frac{2(x-1)(x-3)}{x(x+1)^2}\) B. \(\frac{(x-3)^2}{x(x+1)}\) C. \(\frac{2(x-3)}{x(x+1)}\) D. \(\frac{(x-1)(x-3)^2}{x(x+1)^2}\)
Problem 47
Simplify \(\frac{x^2-5 x}{4 x^2} \cdot \frac{x^2-7 x+12}{x^2-16} \div \frac{2 x-10}{x^2+2 x-8}\). Write your answer in lowest terms. A. \(\frac{(x+3)(x+2)}{8 x}\) B. \(\frac{(x-3)(x+2)}{8 x}\) C. \(\frac{(x+3)(x-2)}{8 x}\) D. \(\frac{(x-3)(x-2)}{8 x}\)