3 7 x + 5 = 8. j + 1= 4. Write an algebraic expression for the phrase. Simplify the expression. Solve the equation.

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1 Class: Date: Algebra I: 1st Semester Exam Short Answer Write an algebraic expression for the phrase times the quantity q minus 3 Simplify the expression Write the coordinates of the point that is 9 units to the left of the y-axis and 6 units above the x-axis. 4. Solve the equation. 3 7 x + = 8. 8d 4d 6d 8 = 2d 6. The sum of two consecutive integers is 9. Write an equation that models this situation and find the values of the two integers. 7. The formula for converting degrees Celsius (C) to degrees Fahrenheit (F) is F = 9 C Solve the formula for degrees Celsius (C). Then find the temperature in degrees Celsius (C) when the temperature in degrees Fahrenheit (F) is 4. Solve the equation for the given variable t.8m = 11; t Write an inequality for the graph. 9. Solve the inequality. Then graph your solution j 10 Solve the inequality. 11. a + 8 2(a 12) > 0 Solve the equation. If there is no solution, write no solution. 12. j + 1= 4 1

2 13. $7.80/hour = cents/minute? 14. A tree casts a shadow 10 ft long. A boy standing next to the tree casts a shadow 2. ft. long. The triangle shown for the tree and its shadow is similar to the triangle shown for the boy and his shadow. If the boy is ft. tall, how tall is the tree? 1. You roll a standard number cube. Find P(number greater than 1) 16. In a batch of 960 calculators, 8 were found to be defective. What is the probability that a calculator chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary. 17. Write an equation of the direct variation that includes the point ( 9, 12). Find the common difference of the arithmetic sequence , 13, 17, 21,... Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule. Ê 19. A(n) = 6 + (n 1) 1 ˆ Ë Á 20. Write the coordinates of the point that is 10 units to the right of the y-axis and units below the x-axis. 21. The sum of two consecutive integers is 49. Write an equation that models this situation and find the values of the two integers. 22. The formula for converting degrees Celsius (C) to degrees Fahrenheit (F) is F = 9 C Solve the formula for degrees Celsius (C). Then find the temperature in degrees Celsius (C) when the temperature in degrees Fahrenheit (F) is 41. 2

3 The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation. 23. Time (hours) Distance (miles) Find the rate of change for the situation. 24. You run 7 miles in one hour and 21 miles in three hours. Find the slope of the line that passes through the pair of points. 2. (1, 7), (10, 1) 26. (., 6.1), ( 2., 3.1) Find the x- and y-intercept of the line x + 9y = Write y = 2 x + 7 in standard form using integers. 3 Graph the equation. 29. y = x = y + 2 = (x 4) Write an equation in point-slope form for the line through the given point with the given slope. 32. (10, 9); m = A line passes through (2, 1) and (8, 4). a. Write an equation for the line in point-slope form. b. Rewrite the equation in standard form using integers. 3

4 Is the relationship shown by the data linear? If so, model the data with an equation. 34. x y In February, you have a balance of $270 in your bank account. Each month you deposit $4. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June. 36. The table shows the height of a plant as it grows. a. Model the data with an equation. b. Based on your model, predict the height of the plant at 12 months. Time (months) Plant Height (cm) Are the graphs of the lines in the pair parallel? Explain. 37. y = 1 6 x + 8 2x + 12y = y = x x + 3y = 4 4

5 39. The map shows Hope Road and the construction site for the new library. Find the equation of a street that passes through the building site and is parallel to Hope Road. Write an equation for the line that is parallel to the given line and that passes through the given point. 40. y = 3 x 9; ( 8, 18) 4 Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. 41. y = 1 2 x 11 16x 8y = 8 Write the equation of a line that is perpendicular to the given line and that passes through the given point x 12y = 2; (10, 1) 43. Describe how the graph is like the graph of y = x and how it is different. 44. Graph y = x.

6 Write an equation for each translation of y = x units up units up units right Graph each equation by translating y = x. 48. y = x y = x Bella wants to write two equations to model the streets on this map. She can use y = x 4 to describe Platte Way. Find one absolute value equation to describe Marteen Rd and Smith St. 6