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Name: ________________________Hr.____ EQUATIONS are always given to you. The first unit uses these ones: m = y2-y1 a2 + b2 = c2 x2-x1 sin θ = opposite cos θ = adjacent tan θ = opposite hypotenuse hypotenuse adjacent _____________________________________________________________________________________ TARGET #1- I UNDERSTAND AND CAN USE OF SCIENTIFIC NOTATION. Put the following numbers in scientific notation. 1. 7,542 _______________ 2. 0.00800 _______________ 3. 100,000 _______________ Expand the following numbers. 4. 7.4 x 10-3 ______________ 5. 1.0248 x 10-2 ______________ 6. 6.123 x 103 _______________ ________________________________________________________________________________________ TARGET #2- UNDERSTANDING METRIC AND METRIC CONVERSIONS Conversions you will need to have memorized by the first physics quiz. LENGTH 1 km = ________ m 1 m = ________ cm 1 m = _______ mm 1 cm = _______ mm 1 inch = ______ cm 1 mile = _______ km 1 mile = _______ m MASS 1 kg = ________ g 1 kg = ________ lbs. VOLUME 1 L = _________ mL Order the following metric prefixes from the smallest to the largest. 7. milli, mega, centi, kilo: ________________________________________________ Perform the following conversions. You must show your work all in one step for full credit! 8. 10,200 m = ____________ mi 9. 4.00 x 105 m = ____________ mm 10. 46 kg = _____________ lbs. 12. 23 mm = __________ cm 13. 40 miles = ______________ km 13. 3 miles = ___________ cm 14. 43 inches = ______________meters ___________________________________________________________________________________________ TARGET #3- I CAN SOLVE FOR X OUT OF BASIC EQUATIONS. Solve the following equations for x. 15. 4 x = 3 16. 4x + 5 = 11 17. 3x = 4 5 7 18. 1 x - 2 = 7 4 19. 5x = 3 4 20.* 20 m/s = x_ 5 sec. *Make sure to include the correct unit on your answer. _____________________________________________________________________________________________ _____________________________________________________________________________________________ TARGET #4 -I UNDERSTAND GRAPHS OF LINEAR RELATIONSHIPS. Graphing 21. a. Graph the following points on the grid provided. x y 1 5 2 10 3 15 4 20 b. Calculate the slope. c. Find the equation of the line. 22. The following ordered pairs could be used to form a line: (0, 2) (1, 8) (2, 14) (3, 20) (4, 26) a. Find the slope of the line that includes the all of the points above. ______________ b. What is the value of y when x = 4? ____________ c. What is the value of x when y = 0? ____________ d. Write the equation of the line in y = mx+ b form. _______________________ 23. Sketch a graph and give a real-life example of each type of relationship. a. direct relationship b. an indirect or inverse relationship ____________________________________________________________________________________________ _____________________________________________________________________________________________ TARGET #5- I UNDERSTAND BASIC TRIGONOMETRY. Trigonometry 24. Use the triangle below to answer the questions. 12.5 cm 7 cm * Make sure your calculator is in degree mode in physics! A b a. Find the length of side b. b. Find angle A in degrees. c. What is the cosine of angle A? Use the following triangles for questions 25-28 below. I II 6.4 cm 4 cm A 3 cm 5 cm B C = 30o III c a 6 cm B b = 2 cm 25. For triangle I above, what is the angle A? _________________________________ 26. For triangle I above, what is the cosine of angle A? ___________________________ 27. For triangle II above, what is angle B? _______________________________ 28. For triangle III above, what is side a?____________________________________ _____________________________________________________________________________________________