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Algebra 1: Name________________Period___ First Semester Final Review (Supplement) Solve each proportion: 1. 𝑎−2 9 2 =3 2. 𝑐+1 𝑐−2 = 4 7 3. If the 2 triangles are similar, what is AC? What is DE? 4. You ride your bike to the park, sit to read for a while, and then ride your bike home. It takes you less time to ride from the park to you house than it took to ride from your house to the park. Draw a sketch of a graph that shows your possible distance traveled over time. Label each section. 5. Megan buys eggs at the supermarket for $1.75 per carton. The cost is a function of the number of cartons bought. What is the graph of the function? Is the function continuous or discrete? Identify the domain and range of each function: 7. 6. {(6, -7), (5, -8), (1, 4), (7, 5)} 7. 8. Determine whether each of the relations are a functions and identify their domain and range: a. b. c. d. Graph each equation on the provided coordinate plane. 9. y=x+2 1 10. 𝑦 + 3 = − 2 (𝑥 − 1) 11. 2x + 3y = 12 12. y – 1 = 3(x + 2) Develop an equation for the following graphs: 13. 14. 15. Write an equation for a graph given that the line goes through points (2, 3) and (-1,1) 16. Write an equation for a graph given the line goes through point (-2,4) and has slope m = -1 17. Write the following equation for a line in standard form with integer coefficients: y 1 x3 2 18. Find the x- and y-intercepts of the equation, 4x + 2y = 8 19. Does the following graph represent the equation, y – 2 = 2(x + 1)? Explain. 20. Write the general slope-intercept form of a linear equation and describe how you would make a graph from the equation. 21. Write the general point-slope form of a linear equation and describe how you would make a graph from the equation. 22. Write the general standard form of a linear equation and describe how you would make a graph from the equation. 23. A student found the following solution to a system of equations, is the solution correct? Explain. 𝑦 = 3𝑥 + 1 1 𝑦 − 5 = − (𝑥 + 1) 2 Solution: (2, 7) Solve each system of equations. Tell whether the system has one solution, infinitely many solutions, or no solution. Also, describe each system with any of the following terms that apply: consistent, inconsistent, independent, or dependent. 24. y = 3x – 7 y+x=1 25. y – 2 = 2(x + 3) 2y = 4x + 4 26. y = -2x + 3 y + 5 = -2(x – 4) 27. The theater club sells a total of 100 tickets to its first play. A student ticket costs $1. An adult ticket costs $3. Total ticket sales are $210. How many student tickets were sold? How many adult tickets were sold? Check your answer. Define variables: Write equations: Solve: