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Question: 1 train a leaves a station traveling at 80 kmh...

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1. Train A leaves a station traveling at 80 km/h. Eight hours later, train B leaves the same station traveling in the same direction at 100 km/h. How long does it take train B to catch up to train A? 2. The first period Algebra class of 30 students could do n problems in x hours. If s students were absent, how long would it take to do 100 problems? 3. A 7-sided regular polygon (regular heptagon) is inscribed in a circle whose radius is 2 inches. Find the area of the polygon to the nearest square inch. 4. Multiply (-2 cis -450(3 cis 759) and express the answer in 5. Solve 2sin e -1 0 given that oP s 0 360°. 6. A parabola has its vertex at (-1, 6) and its focus at (1, -6). Write equations of the an exact answer. parabola, the directrix, and the axis of symmetry. Graph the parabola. 7. Graph the solution to the system of ineqlt -5-4 7. Graph the solution to the system of inequalities: 8. Solve for x: +3 9. Graph:+1 4 36 Brad is nine more than three times as old as Henry. In 20 years the sum of their ages will be 105. How old is Brad now? 10. l1. Evaluate: cossin 7T tan1t 4 2. Solve for x: log, 4 log,(x +8) 1
t 1 two were blondes, and two were brunettes, H . Three women were redheads, Ir distinguishable ways could the women sit in seven chairs if only the color of the hy many considered? cost a total of $1000. If 5 men refused to honor their commitment, how much each of the other men have to pay? 2. M men pledged to contribute equally to the purchase of playground equipment more did fractional part of 3. Ares had /h hours of homework to do, but he just worked w hours. What fractional his homework remains? The woman is 3 times as old as her son. If she is half as old as her father, her father is how many times older than her son? 4. 5. Three times the lesser of two numbers equals 2 times the greater. If the sum of the 6. Ifx is an even number, what is the quotient of the next greater even number divided by 7. A six-sided regular polygon is inscribed in a circle whose radius is 6 inches. Find the area 8. The length of a side of an 8-sided regular polygon is 10 centimeters. Find the area of the numbers is 70, what are the two numbers? the next greater odd number? of the polygon. polygon. Two 12-sided polygons are similar. A side of the larger polygon is 9 times as long as the corresponding side of the smaller polygon. What is the ratio of the area of the smaller polygon to the area of the larger polygon?
10. Solve this triangle for the unknown probiem set 73 parts. 15 130 30 11. Write the equation in standard form and graph the elliphe: A 12. A manufacturer produces bolts are 4.0 cm and a standard deviation of 0.1 cm. What percentage length between 3.94 cm and 4.14 cm? whose lengths are nonmally distributed with a mean of of the bolts will have a 13. Solve for b: b 14. A parabola has its vertex at (3, -2) and its focus at (3, 5). Wn 15. Find the coordinates of the focus and the vertex a 16. Sketch the graph of the function y - log4 12 12 its vertex at (3, -2) and parabola, the directrix, and the axis of symmetry. Graph t axis of symmetry for the parabola y .Graph the parabola. Write the equation of the sinusoid as a he parabola. and the equations of the directrix and the 17. cosine function. ABole-D) 18. Write the equation of the sinusoid whose graph is a sine function with a centerline of y =-2, an amplitude of 6, a period of 2π, and a phase angle ofr/4. 19. Multiply (3 cis 420PX4 cis 330°) and express the answer in rectangular form. Give an exact answer. 20. Solve for v: lar + by = c 21. Use the result of problem 20 to solve for y: 2x + 6y- 14 Solve the following equations given that (0 S e,x <360): 22, sin _ 2 sin2 0 23. see -4-0 25. Evaluate: tan (-6909) - see(-690°)- cot? 690 27. Graph the solution to the system of inequalities: 162 y2 Solve for x: 28. In 27 2 Inx In(2-)9lg(2)+ log, r-3) 1 30. Use the locus definition method to find the equation of the line equidistant from the points (-6, 4) and (4,9). Write the equation in slope-intercept form.
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