# Algebra 1 PAP Fall Exam Review

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1 Name: Pd: Algebra 1 PAP Fall Exam Review 1. A collection of nickels and quarters has a value of \$7.30. The value of the quarters is \$0.80 less than triple the value of the nickels. Which system of equations can be used to find the number of nickels and the number of quarters? A n + q = 7.30 C 0.5n q = 7.30 q = 3n 0.80 n = 3q B 0.05n q = 7.30 D 0.05n q = 7.30 n = 3q 0.80 q = 3n 2. What is the value of b that makes the equation: 3b (7 5b) = 25 true? A b = 16 C b = 7.2 B b = 4 D b = Jared and Taylor are basketball teammates. They lead their team to victory in the championship game, combining to score 40 points. Jared scored 14 points less than twice Taylor s score. How many points did Taylor score? A 13 C 18 B 22 D What is the zero of h(x) = 2 3 x 1? A 2 3 C 3 2 B 1 D 3 2

2 5. Cody went to the movie theater with a group of friends. He bought cokes for \$2 each and movies tickets for \$5 each for all of his friends. Let x represent the number of cokes and y represent the number of tickets. If he spent no more than 50 dollars at the theater, which graph represents the combination of drinks and tickets he could buy for his friends? 6. The graph of a linear function is shown to the right. If the line is translated 3 units down, which equation will best describe the new line? A y = 3 2 x C y = 2x B y = 3 x 6 D y = 2x 5 2

3 7. Amy works 16 hours and earns \$39.50 one week. If the following week she works 24 hours and earns \$59.25, what is her hourly pay? Round to the nearest hundredth. Record your answer in the griddable 8. You are planning a party for a group of friends. The cost of the party will be \$30 to rent the room plus \$5 per person. You have a budget of \$75. Which inequality gives you the best estimate of the number of people p that you can invite to your party? A p 75 C p 75 B p 75 D p Which of the following best describes the relation shown in the graph? A Domain 3 x 4; Range: 2 y 4; the relation is not a function B Domain 3 x 4; Range 2 y 4; the relation is a function C Domain 2 x 4; Range 3 y 4; the relation is not a function D Domain 2 x 4; Range 3 y 4; the relation is a function

4 10. The force x applied to a lever varies directly with the weight y that is being lifted. Suppose you are using a lever that allows you to lift a 75-pound weight using 20 pounds of force. Which direct variation equation represents this relationship? A y = 4 15 x C y = 75x B y = 15 x D y = 20x A relationship is represented by the function y = x. Which of the following would be the best description of the relationship? A A car rental company charges 15 dollars for gas plus a 50-dollar drop off fee. B A salesperson earns 15% of all sales over \$50. C A cell phone company charges \$50 per month plus \$.15 per minute used. D You can download 50 songs for free then you must pay \$0.15 per song after that. 12. Jackson ran a marathon. He ran 6 miles per hour. The table shows how many miles he had completed after each hour. Hours Miles Using the table, write an equation in point-slope form that models Jackson s distance in miles, y, for the number of hours, x. A y = 6x + 6 B y 3 = 6(x 18) C y 18 = 6(x 3) D y + 18 = 6(x 3) 13. What is the range value of the function y = 2x + 1 missing from the table? x y ?

5 14. Which coordinate pair is a solution to y < 3 2x? A (0, -3) C (2, 3) B (-3, 0) D (-2, 3) 15. Which system of inequalities is represented in the graph? A 2x + 3y 9 B y 2 3 x + 3 4x 3y < 9 4x 3y > 9 C y 3 x + 3 D 3x + 2y 6 2 y + 3 > 4 3 x y > 4 3 x Solve the literal equation y = mx + b for m. A m = y b x B m = y+b x C m = (y b)x D m = y b x

6 17. The graph shows the relationship between the number of cakes and number of pies a club must sell in order to meet their fundraising goal. What does the x-intercept of the graph represent? A The maximum number of cakes the club sold at the bake sale B The number of pies sold for every cake sold C The maximum number of pies the club had to sell at the bake sale D The number of cakes the club had before beginning the bake sale 18. Airline passengers pay \$325 to fly to Florida. For this price, customers may check 1 piece of luggage. There is a fee of \$20 for each additional piece of luggage a passenger wants to check. Which function can be used to find the amount in dollars a passenger has to pay to fly with p pieces of luggage, where p 1? A c = 20(p 1) B c = p C c = 20p D c = p What will happen to the slope of the line if the x-intercept remains the same and the y- intercept changes to -2? A The slope will remain the same. B The slope change from positive to negative. C The slope will change from negative to positive. D The slope will become steeper.

7 20. The graph of a quadratic function r(x) is shown. What is the value of r(-3)? A -4 B 0.7 C 3 D Simplify the algebraic expression: 3(5x + 5) + 2(3x 2 + 4x 8). A 29x 1 C 6x x 1 B 5x x 1 D 6x x What is the y-intercept of the linear function: 6x 4y = 24? 23. What is the equation of the line that is perpendicular to x-axis and is 3 units to the left of the y-axis. A x = 3 B x = 3 C y = 3 D y = 3

8 24. Trisha is taking guitar lessons. After 7 lessons, Trisha had spent \$130. After 12 lessons, Trisha had spent \$205. Write a linear equation in standard form to explain this relationship between Trisha s total cost, y, based on the number of guitar lessons, x, that she took. A 15x + y = 25 C 15x y = 25 B 15x + y = 25 D 15x y = The graph shows the temperature of a substance as it is being heated over a period of time. Which of the following best describes the average rate of change? A The temperature is increasing -.16 degrees per minute. B The temperature is increasing.8 degrees per minute. C The temperature is increasing.16 degree per minute. D The temperature is increasing 6.25 degrees per minute. 26. The function y = 7.50x represents the cost y for x number of tickets to a movie. If Jessie has \$50 to spend on himself and a group of friends at the movies, which of the following is a reasonable domain for the given situation? A {0, 1, 2, 6} C 0 x 6 B {0, 1, 2, 7} D 0 x 7

9 27. What is the solution to the equation: 3(8b + 2) = 18? 28. In which step below does a mistake first appear in simplifying the expression 0.25( 4x + 12) 5(x 2) + 12(x 1)? STEP 1: x + 3 5(x 2) + 12(x 1) STEP 2: x + 3 5x (x 1) STEP 3: x + 3 5x x 12 STEP 4: 6x 19 A STEP 1 C STEP 3 B STEP 2 D STEP The graph of the line 2x + 3y = 6 is shown in the graph. Which best describes the graph of the solution set to the inequality: 2x + 3y > 6? A A solid line for 2x + 3y > 6 and Region 1 shaded B A dashed line for 2x + 3y > 6 and Region 1 shaded C A solid line for 2x + 3y > 6 and Region 2 shaded D A dashed line for 2x + 3y > 6 and Region 2 shaded 30. What is the slope of the function 2x 4y = 8? A 4 C 1 2 B 1 2 D 2

10 31. A farmhouse shelters pigs and ducks. There are 6 more pigs than ducks. Altogether there are 36 legs in the shelter. Which system represents this information? A 2p + 4d = 36 C 4p + 2d = 36 p = d + 6 d = p + 6 B 4p + 2d = 36 D 4p + 2d = 36 p + d = 6 p d = The perimeter of a rectangle is 52 centimeters. The length of the rectangle can be represented by (x + 6) and it s width can be represented by (3x 4). What is the width in centimeters? A 6 B 12 C 14 D The table below represents a constant rate. Which of the following represents the rate at which the copies are being made? Record your answer in the griddable. 34. What is the range of the function f(x) = 3x + 5 if the domain is 3, 2,0? A { 1, 5, 14} C { 4, 5, 11} B { 4, 1, 5} D {5, 11, 15}

11 35. The ordered pairs (3, 4), (6, 2), (1, 2), (3, 0), ( 1, 4) represent a relation. Based on the relation, which statement is true? A The relation is not a function because the y-value of -2 is used more than once. B The relation is not a function because the x-value of 3 is used more than once. C The relation is not a function because the rate of change is not constant. D The relation is a function. 36. Which equation describes the line that passes through the point (1, 9) and is parallel to the line represented by the equation 5x + y = 2? A y = 1 5 x + 6 C y = 1 5 x + 8 B y = 5x + 4 D y = 5x A graph is shown to the right. Which of the following equations are represented by the graph? A 3x + 4y + 16 = 0 B x + 4y 16 = 0 C 3x + 4y 16 = 0 D 3x 4y 16 = 0

12 38. What is the equation of a line with a slope of 2 that goes through the point (6, 1)? 3 A y = x C y = 3x B y = ( 3 + x) 2 3 D y = ( 3x + 1) Which of the following is the equation of a line that passes through the point (-2, 0) and is perpendicular to the line shown in the graph below? A y = 1 2 x 1 C y = 1 2 x + 1 B y = 1 2 x 1 D y = 1 2 x For the function y = 2x, what would happen if the value 2 was changed to 6? A The slope would change from decreasing to increasing B The line would be steeper, but remain as increasing. C Each point would move up 4 units D The slope would change from increasing to decreasing

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