Name Block Algebra 1 Midterm Review MULTIPLE CHOICE Write the letter for the correct answer at the left of each question. 1. Solve: A. 8 C. 2. Solve: A. 43 C. 42 3. Solve the compound inequality and graph the solution set. A. B. C. D. 4. Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of the equation.
5. Interpret the intercept of the graph. A. The initial temperature was C. B. After 1 hour the temperature was 0 C. C. 5 minutes before the temperature was C. D. 5 minutes before the temperature was 0 C. 6. Use substitution to solve the system of equations. 7. Write the point-slope form of an equation for a line that passes through the point with the given slope. 8. Write a direct variation equation that relates the variables. Then graph the equation. Movie tickets cost $7.50 each. The total cost of t tickets is C.
9. Write a verbal expression for the algebraic expression. 10. The table below shows the yearly sales of a CD player in a particular store. Find an equation in function notation for the relation. 11. Solve: 12. Find the and intercepts for. 13. Solve: B. 1 D. 14. Solve: 15. Use elimination to solve the systems of equations.
16. If find 17. Find the next three terms of the arithmetic sequence. 18. Which inequality is graphed? A. B. C. D. 19. Mr. Collins is constructing a fence around his property. He already has 35 sections up and plans to add 7 sections each Saturday until he is finished. Write an equation to find the total number of fence sections standing after any number of Saturdays. 20. Simplify the expression.
SHORT ANSWER Solve each of the following short answer problems. Make sure to circle key information and write a sentence. Show ALL your work! 21. Solve the compound inequality and graph the solution set. 22. Solve the equation and then check your solution. Check: 23. Express the relation as a graph and a table. Then determine the domain and range. Domain: Range:
24. Rachel bought 15 packs of colored pencils with four pencils in each pack. She also bought 32 packs of glitter pencils with two pencils in each pack. Write and evaluate an expression to find the total number of pencils she bought. 25. Suppose varies directly as. Write a direct variation equation that relates and. Then solve. 26. Graph the systems of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it. Solution:
27. Find the final price of the item. CD player: $39.95 Discount: 10% Tax: 7% 28. The monthly telephone bill consists of a $14 service charge plus $1.50 per call. Write an equation in slope-intercept form for the total monthly bill if represents the number of calls made in a month. Then graph the solution. Equation:
OPEN-ENDED Solve each of the following essay problems. Make sure to circle key information and write a sentence. Show ALL your work! 29. The total height of a building, and the antenna tower on top of it,, is 425 feet. The difference in heights of the building and the antenna tower is 324 feet. The following system of equations represents the situation. a. Solve the system of equations using elimination. Explain your process in your own words. b. What is the height of the antenna tower?
30. A manufacturer makes both volleyballs and basketballs. Each volleyball requires 2 minutes on the forming machine, and each basketball requires 1 minute. Each volleyball requires 1 minute on the inflating machine, and each basketball requires 1.5 minutes. If the forming machine runs for 40 minutes and the inflating machine runs for 25 minutes, the following system of equations can be used to determine the number of volleyballs and basketballs produced. a. Explain how the system of equations can be used to plan the machine running time. b. Solve the system by elimination OR substitution. Explain your process in your own words.
31. Use the following table showing the state graduation scores to answer the questions below. Verbal Score Math Score 460 488 424 466 410 463 420 460 a. Make a scatter plot relating the verbal scores and the math scores. b. Does the scatter plot show a positive, negative, or no correlation? If the correlation is positive or negative, explain the relationship in a sentence. c. Using your calculator, write the equation for the best-fit line. d. Using the equation in part c, predict the corresponding math score for a verbal score of 445.
32. Use the following scatterplot to answer each part below. a. Draw a scatterplot with years on the axis and earnings on the axis. b. Draw a line of fit for the data. c. Write the slope-intercept form of an equation for the line of fit. d. Predict the hourly earnings for production workers in 2005.
VOCABULARY Make sure to review the definitions of the following terms for your exam. Absolute value Boundary Coefficient Consistent Inconsistent Direct variation equation Intersection Union Linear regression Linear extrapolation Point-slope form Slope-intercept form Standard form Slope Vertical Line test