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Magazine Problem 3
Solve each problem. In a certain fraction, the denominator is 6 more than the numerator. If 3 is added to both the numerator and the denominator, the resulting fraction is equivalent to \(\frac{5}{7} .\) What was the original fraction (not written in lowest terms)?
Problem 3
Match expression in Column I with the correct sum or difference in Column II. \(\frac{8}{x-8}-\frac{x}{x-8}\) A. 2 B. \(\frac{x-8}{x+8}\) C. \(\cdot^{-1}\) D. \(\frac{8+x}{8 x}\) E.1 F. 0 G. \(\frac{x-8}{8 x}\) H. \(\frac{8-x}{x+8}\)
Problem 3
Use personal experience or intuition to determine whether the situation suggests direct or inverse variation. The amount of pressure put on the accelerator of a truck and the speed of the truck
Problem 4
Solve each problem. In a certain fraction, the denominator is 4 less the numerator. If 3 is added to both the numerator and the denominator, the resulting fraction is equivalent to \(\frac{3}{2} .\) What was the original fraction?
Problem 4
Only one of these choices is equal to \(\frac{\frac{1}{3}+\frac{1}{12}}{\frac{1}{2}+\frac{1}{4}}\). Which one is it? Answer this question without showing any work, and explain your reasoning. B. \(-\frac{5}{9}\) A. \(\frac{5}{9}\) \(\mathrm{C} \cdot-\frac{9}{5}\) \(\mathbf{D} .-\frac{1}{12}\)
Problem 4
Choose the correct response Suppose that we wish to write the fraction \(\frac{1}{(x-4)^{2}(y-3)}\) with denominator \((x-4)^{3}(y-3)^{2} .\) By what must we multiply both the numerator and the denominator? A. \((x-4)(y-3)\) B. \((x-4)^{2}\) C. \(x-4\) D. \((x-4)^{2}(y-3)\)
Problem 5
Solve each problem. The numerator of a certain fraction is four times the denominator. If 6 is added to both the numerator and the denominator, the resulting fraction is equivalent to \(2 .\) What was the original fraction (not written in lowest terms)?
Problem 5
Simplify each complex fraction. Use either method. $$ \frac{-\frac{4}{3}}{\frac{2}{9}} $$
Problem 5
Match expression in Column I with the correct sum or difference in Column II. \(\frac{x}{x+8}-\frac{8}{x+8}\) A. 2 B. \(\frac{x-8}{x+8}\) C. \(\cdot^{-1}\) D. \(\frac{8+x}{8 x}\) E.1 F. 0 G. \(\frac{x-8}{8 x}\) H. \(\frac{8-x}{x+8}\)
Problem 5
Find the LCD for the fractions in each list. $$ \frac{7}{15}, \frac{21}{20} $$
