Algebra 1R REVIEW (midterm)

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1 Algebra 1R Algebra 1R REVIEW (midterm) Short Answer 1. Find the x- and y-intercepts. 2. Tara creates a budget for her weekly expenses. The graph shows how much money is in the account at different times. Find the slope of the line. Then tell what rate the slope represents. 3. Evaluate a 0 b 2 for a = 2 and b = 2. 1

2 4. Write the compound inequality shown by the graph. 5. Write an equation in slope-intercept form for the line perpendicular to y = 8x 9 that passes through the point (9, 9). 6. Solve 6x = Tell whether the set of ordered pairs {(1, 1), (3, 5), (5, 9), (7, 13)} satisfies a linear function. Explain. 8. Solve the proportion 5 6 = x Simplify ( 4) Find the slope of the line. 11. Write the equation that describes the line in slope-intercept form. slope = 4, point (3, 2) is on the line 12. Solve the compound inequality 1 < 3x 2 10 and graph the solutions. 2

3 13. Find the x- and y-intercepts of x + 2y = Find the slope of the line. 15. A video store charges a monthly membership fee of $7.50, but the charge to rent each movie is only $1.00 per movie. Another store has no membership fee, but it costs $2.50 to rent each movie. How many movies need to be rented each month for the total fees to be the same from either company? 16. Evaluate the expression 2m + n for m = 7 and n = Give the domain and range of the relation. 18. Juan scored 26 points in the first half of the basketball game, and he scored n points in the second half of the game. Write an expression to determine the number of points he scored in all. Then, find the number of points he scored in all if he scored 18 points in the second half of the game. 3

4 19. Simplify For f(x) = 4x + 2, find f(x) when x = Devon pays $24.95 for her roller skates. After that she pays $3.95 for each visit to the roller rink. What is the greatest number of visits she can afford if the total amount she spends cannot be more than $76.30? 22. Subtract. (8b 4 b 3 ) (b 4 + 4b 3 4) 23. Simplify 9x 0 y 8. z Solve 50q 43 = 52q A toy rocket is launched from a platform 34 feet above the ground at a speed of 90 feet per second. The height of the rocket in feet is given by the polynomial 16t t + 34, where t is the time in seconds. How high will the rocket be after 3 seconds? 26. To join the school swim team, swimmers must be able to swim at least 500 yards without stopping. Let n represent the number of yards a swimmer can swim without stopping. Write an inequality describing which values of n will result in a swimmer making the team. Graph the solution. 27. Write the inequality shown by the graph. 28. Write an equation in slope-intercept form of the line with slope 1 2 ( 4, 3). that contains the point 29. Graph the solutions of the linear inequality 8x + 2y > 6. 4

5 30. Write the equation 4x + 8y = 24 in slope-intercept form. Then graph the line described by the equation. 31. Solve 7 x 6 = Solve q 5 = 41. Check your answer. 33. Write the equation that describes the line with slope = 2 and y-intercept = 3 2 in slope-intercept form. 34. Tell whether the slope of the line is positive, negative, zero, or undefined. Ï y 2x Graph the system of linear inequalities Ô Ì. ÓÔ y 2x 2 5

6 36. Give the domain and range of the relation. Tell whether the relation is a function. 37. Give the domain and range of the relation. 38. Solve 43a a = 27. Ï 2x 5y = Solve Ô Ì by elimination. Express your answer as an ordered pair. ÓÔ 5x 3y = Add or subtract. 10m+ 2m 4 13m 20m Solve the inequality n + 6 < 1.5 and graph the solutions. 6

7 42. Julia wrote 14 letters to friends each month for y months in a row. Write an expression to show how many total letters Julia wrote. 43. If 4x = 32, find the value of 35 5x. 44. Give the domain and range of the relation. x y The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game rented. The Game Bank charges an annual fee of $17 plus $2.50 per game. For how many game rentals will the cost be the same at both stores? What is that cost? Ï 3x + 2y = Tell whether the ordered pair (5, 3) is a solution of the system Ô Ì. ÓÔ x y = Describe the solutions of 6 + y < 10 in words. Ï 4x 4y = Solve Ô Ì by substitution. Express your answer as an ordered pair. ÓÔ x 2y = Identify whether each graph represents a function. If the graph does represent a function, is the function linear? Graph A Graph B Graph C 7

8 50. Tell whether (9, 2) is a solution of y < 4x Solve the inequality 2( k + 3) < 2k Janice is going on vacation and needs to leave her dog at a kennel. Nguyen s Kennel charges $15 per day plus $20 for a processing fee. The Pup Palace Kennel charges $12 per day, and has a $35 processing fee. After how many days is the Pup Palace Kennel cheaper than Nguyen s Kennel? 53. Solve and graph the solutions of x 6 3 > 12. Write the solutions as a compound inequality. 54. Find the slope of the line described by x 3y = Graph 2x + 4y = 4 for the domain D: { 8, 4, 0, 4, 8}. 8

Algebra QBA 1 Review. 4. Solve. Check your answer. 5. Solve. Check your answer. 6. Solve 14 + s = 32.

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