a. Bob: 7, Bridget: 4, Brian 1 b. Bob: 7, Bridget: 4, Brian 3 c. Bob: 7, Bridget: 14, Brian 3 a. 100 b. 150 c c. 2 d.

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1 Period: Date: K. Williams 8th Grade Year Review: Chapters -4. A neighborhood pool charges $22 for a pool membership plus an additional $2 for each visit to the pool. If Elliot visited the pool 6 times, how much did he pay to use the pool? $0.00 $54.00 $ $ A concert hall has three sections: the main floor, the balcony, and the gallery. For a recent concert, 020 tickets were sol There were twice as many balcony tickets sold as gallery tickets, and 225 more main floor tickets than balcony tickets. If g represents the number of gallery tickets sold, which expressions represents this situation? Gallery: g Balcony: g Main Floor: g Gallery: g + g Balcony: 2g Main Floor: g Gallery: g Balcony: g Main Floor: 2g Gallery: g Balcony: 2g Main Floor: 2g The art club is raising money to go to an art museum. So far they have raised $50 by selling chalk drawings for $5 each. If they need to raise a total of $400, how many more drawings do they need to sell? A charity group is holding a formal dinner as a fundraiser. They are selling tickets for the dinner for $50 per person. So far they have raised $000. How many more tickets would the charity group need to sell to raise a total of $5000? Ben is the youngest of four children. Bob is 5 years older than Ben, Bridget is twice as old as Bob, and Brian is 3 years younger than Bridget. If Ben is 2 years old, how old is each of his siblings? Bob: 7, Bridget: 4, Brian Bob: 7, Bridget: 4, Brian 3 Bob: 7, Bridget: 4, Brian 3 Bob: 7, Bridget: 4, Brian 6. Heidi has $500 in a savings account. She wants to go on a trip to Costa Rica that costs $2300. If she earns $8 per hour at a part-time job, how many hours does she need to work to have enough money for her trip? How many solutions does an equation have when the variable adds out and the final sentence is true? 0 2 infinite

2 8. How many solutions does an equation have when the variable adds out and the final sentence is false? 0 2 infinite 9. How many solutions does an equation have when you isolate the variable and it equals a constant? 0 2 infinite solutions 0. Which is the solution to the equation 3(2x + 5) = 3? 5 0 no solution infinite solutions. What will the display of a graphing calculator look like if you graph the left side of an equation with an infinite number of solutions as y and the right side of the same equation as y 2? The graph of the lines will intersect at exactly point. The graph of the lines will intersect in exactly 2 points. 2. Which is the solution of the equation 2(2x ) + 2x = 6(x )? 2 0 no solution infinite solutions 3. Melissa bought 3 loaves of freshly baked bread at a specialty bread shop. She paid twice as much for the whole grain bread as for the French bread, and $2.50 more for the cinnamon raisin bread than for the whole grain brea She spent a total of $.25 for the 3 loaves. If f represents the price of a loaf of French bread, which equation describes this situation? f + f + (f ) =.25 f + 2f + (f ) =.25 2f =.25 f + 2f + (2f + 2.5) = Javier wants to buy a new video game that costs $ Last week he saved $20 for the game. If he earns $9 per hour at his part-time job, which equation can be used to find the number of hours, h, Javier needs to work to have enough money to buy the video game? 9h = h = 62 9h 20 = h = 62 The graph of the lines will be the same. The graph of the lines will never intersect. 2

3 5. Which graph is discrete and nonlinear? 6. Which graph does NOT represent a function? 3

4 7. T-Shirts & More Print Shop will print any image on a mousepad for a cost of $2 per mousepad and a one-time charge of $2 to set up the mousepad design. The total cost of an order was $562. How many mousepads were printed? Which set of ordered pairs does NOT represent a function? {( 3,9),( 2,4),(,),(0,0),(,),(2,4),(3,9)} {(,3),(2,6),(3,9),(4,2),(5,5)} {(,),(4,2),(9,3),(6,4),(25,5)} {(9, 3),(4, 2),(, ),(0,0),(,),(4,2),(9,3)} 9. Angelica earns $7.50 for each hour that she works. How many hours will she have to work to buy a bicycle that costs $90? 6 hours 9 hours 2 hours 5 hours 20. T-Shirts & More Print Shop will print any image on a hat for a cost of $2 per hat and a one-time charge of $2 to set up the hat design. Which algebraic equation represents the cost, C, of printing f hats? C = 2f C = 2f + 2 f = 2C + 2 C = 2f James earns $8.5 per hour that he works. Which algebraic equation shows the amount of money, E, that James earns in n hours? E = n E = 8.5 n n = 8.5E E = 8.5n 22. Flora earns $9.50 for each hour that she works. How much money will Flora earn if she works for 6 hours and 2 minutes? $57 $58.4 $58.90 $ Which best describes the following graph? discrete, increasing, and nonlinear continuous, increasing, and linear continuous, increasing and decreasing, and nonlinear discrete, decreasing, and linear 4

5 24. Which set of ordered pairs represents the following mapping? 27. Which rate of change is shown on the graph? {(0, ), (, 2), (2, ), (3, 2), (4, )} {(, 0), (2, ), (, 2), (2, 3), (, 4)} {(0, ), (2, ), (4, )} {(, 2), (2, ), (3, 2), (4, )} 25. Which equation has a linear graph? f(x) = 3 x + 6 f(x) = x 2 f(x) = x f(x) = 2 x 26. What is the unit rate of change for the following graph? 2points 2hits 2points 8hits 8points 2hits 32 points 4hits 28. What is the unit rate of change for the graph? 0.8ft min 2ft min 0.5ft min 5.5ft min 0.07min unit 5min unit 30min unit 60min unit 5

6 29. What is the unit rate of change for the linear function shown in the table? x y What is the unit rate of change for the linear function shown in the table? Distance (miles) Charge (dollars) $.75 mile $2.25 mile $2.55 mile $4.00 mile 6

7 3. A small ice cream cone costs $2.00, a medium costs $2.75, and a large costs $3.25. Special toppings cost extr Melanie s medium cone with 2 toppings cost $3.35. What is the unit rate of cost per number of toppings for a medium cone? $0.03 topping $0.05 topping $0.30 topping 33. The buses in the school parking lot can carry a total of 626 students. Some of the buses can carry up to 66 students and the remainder of the buses can carry up to 74 students. This situation can be represented by the equation 66x + 74y = 626. In this equation, what does x represent? the number of 66-seat buses the total number of buses in the parking lot the number of students on the 66-seat bus the difference between 72-seat and 66-seat buses 34. What is the y-intercept of the linear equation shown on the graph? $0.60 topping 32. Jan s puppy weighed 3.5 pounds at the beginning of May. At the beginning of September, her puppy weighed 2.5 pounds. What was the puppy s average weight gain per month? 4.5pounds month 5.375pounds month 6.25pounds month 8pounds month The equation 0x 2y = 36 represents a linear function. What is the y-intercept of the equation? (0, 36) (0, 5) (0, 8) (0, 72) 7

8 36. What is the y-intercept of the linear equation represented by the table? x y What is the slope of the line 2x + 4y = 24? What is the slope of the line 8y = 6? undefined 39. What is the slope of the line 3y = 6x? Maria drove from St. Louis to Chicago, a distance of 262 miles, in 5 hours. She drove the first 2 miles at an average speed of 56 miles per hour. What was her average speed for the remainder of the trip? 56 miles per hour 75 miles per hour 50 miles per hour 52.4 miles per hour 4. The admission prices at a zoo are $2 for adults and $5 for children under 2. Which expression represents the total admission price for a group of a adults and c children? 5c + 2a 2a + 5c 7(a + c) 8.5(a + c) 8

9 42. Which is the slope of the line with equation 7x 3y = 2? Max bought some e-books for $8.99 each and some magazines at $3.99 each. If e represents the number of e-books and m represents the number of magazines, which equation describes the relationship between these two variables if he spent a total of $68.89 on these items? 8.99e m = e m = e 3.99m = e 8.99m = Which describes a function in which the dependent variable decreases as the independent variable increases? linear function constant function increasing function decreasing function 45. Which describes the graph of a constant function? a horizontal line a vertical line a line that rises from left to right a line that falls from left to right 9

10 8th Grade Year Review: Chapters -4 Answer Section. ANS: B REF:. 2. ANS: D REF:. 3. ANS: B REF:. 4. ANS: B REF:. 5. ANS: D REF:. 6. ANS: A REF:. 7. ANS: D REF:.2 8. ANS: A REF:.2 9. ANS: B REF:.2 0. ANS: B REF:.2. ANS: C REF:.2 2. ANS: C REF:.2 3. ANS: D REF:.3 4. ANS: D REF:.3 5. ANS: B REF: ANS: C REF: ANS: B REF: ANS: D REF: ANS: C REF: ANS: D REF: ANS: D REF: ANS: C REF: ANS: C REF: ANS: A REF: ANS: A REF: ANS: C REF: ANS: C REF: ANS: B REF: ANS: A REF: ANS: A REF: ANS: C REF: ANS: A REF: ANS: A REF: ANS: B REF: ANS: C REF: ANS: A REF: ANS: C REF: ANS: A REF: ANS: C REF: ANS: C REF: ANS: B REF: 4.

11 42. ANS: C REF: ANS: A REF: ANS: D REF: ANS: A REF: 4.4 2