MTH 095 Practice Exam 1 PDF

MTH 095 PRACTICE EXAM 1 Winter 2025 NAME: __________________________________________ Review of Lines Graph the following lines on the given axes. 3 1 1. 𝑦 = −4𝑥 +...

MTH 095 PRACTICE EXAM 1 Winter 2025 NAME: __________________________________________ Review of Lines Graph the following lines on the given axes. 3 1 1. 𝑦 = −4𝑥 + 2 2. Slope 𝑚 = 2 and goes through the point (1, 2)   −  −  − − 3. 𝑦 = −2 4. 𝑥=6   −  −  − − 5. Find the equation of the line in problem 2 above. Be sure to show your work. 6. Find the equation of the line that passes through the points (-3, 4) and (5, -2). Be sure to show your work. 7. a) Interpret the vertical intercept for the line in terms of the problem situation. b) Interpret the horizontal intercept for the line in terms of the problem situation. Ch.5 Exponents & Polynomials Simplify the exponential expressions. Write the final answers with positive exponents only. 8. (−4x 2 y7 )(7xy 2 ) 9. (5a2 b5 )3 2  𝑐 4 𝑑−5 9. (6x 2 y 2 )2 (−5x 2 y)4 10. 𝑐 −2 𝑑3 11. Convert to scientific notation. a) 52,600,000,000 b) The width of one helix of a DNA molecule is 0.000,000,002 meter. 12. Convert to standard form. a) 4.3 × 107 b) 6.024 × 10−6 Perform the indicated operations. Write your answers in scientific notation. Be sure to show your work. 1.5×10−12 13. −30(45.7 × 10−8 ) 14. 3.0×108 Add or subtract the given polynomials. 15. (3𝑥 2 − 8𝑥 + 14) + (7𝑥 2 + 3𝑥 − 2) 16. (5𝑥 2 − 8𝑥 + 2) − (2𝑥 2 − 8) Multiply the given polynomials. Be sure to show your work. 17. 5𝑥(7𝑥 + 8) 18. −8𝑥(7𝑥 2 + 2𝑥 − 4) 19. (2𝑥 + 5)(3𝑥 − 6) 20. (3𝑥 + 7)2 21. (𝑥 − 4)(𝑥 2 + 5𝑥 − 3) Ch.6 Factoring Polynomials Factor the given polynomials. If the polynomial is prime, say so. 22. 24𝑥 3 − 32𝑥 2 23. 2𝑦(𝑥 + 3) − 5(𝑥 + 3) 24. 5𝑚2 + 10𝑚 − 7𝑚 − 14 25. 𝑥 2 + 16𝑥 + 64 26. 𝑥 2 − 4𝑥 − 21 27. 2𝑥 2 + 13𝑥 + 15 28. 𝑥 2 − 64 29. 𝑥2 + 𝑥 + 3 30. 𝑔3 − 8𝑔2 + 15𝑔 31. 4𝑥𝑦𝑧 + 2𝑥𝑧 − 24𝑦𝑧 − 12𝑧 4