Grudge ball: End of Level Review

Instructions What I did for grudge ball was divide the class into 5 groups (it’s harder and takes longer if there are more groups). Each team starts with 10 X’s on the whiteboard—the goal is to have the most X’s at the end of the game. The questions rotate around the room to the different teams. If the team gets the answer wrong, another team gets the chance to steal the points. If the team gets the answer correct, they get to erase 2 X’s from any other team or add 2 X’s to their team. (They can’t erase X’s from themselves). If they answer the question correctly, a person from the group gets to short the nerf ball from either a 2-point line or a 3-point line. If they make the shot, they get to erase 4 or 5 X’s (If they miss it, they still get to erase 2). If a team loses all of their X’s, they can add X’s back to their team when they answer a question/make a basket.

1. What are the solutions to this quadratic equation? 𝑥 2 −8𝑥=0 0 and -8 0 and 8 1 and -8 1 and 8

2. What are the solutions to 3 𝑥 2 −2𝑥+1=0? 1±𝑖 2 1 3 ±𝑖 2 1 3 ± 1 3 𝑖 2 1 3 ± 2 3 𝑖 2

3. A polynomial expression is given 3. A polynomial expression is given. Simplify this expression and leave your answer in standard form (2 𝑥 3 −5𝑥+7)( 𝑥 2 +1)

4. Which part or Parts of the expression 4𝑥+8 can also be considered factors? 4 and x 4, x, and 8

5. Which point lies on the graph of the linear function 𝑦=− 3 5 𝑥+2? −1,5 − 3 5 ,1 − 3 5 ,2 (5,−1)

6. What are the solutions of the equation? 5=4 𝑥−9 2 𝑥=9± 4 5 𝑥=3± 5 2 𝑥=9± 5 2 𝑥=3± 4 5

7. Calculate 3𝑥−2 2 −(9𝑥+1)(𝑥−3) −38𝑥+1 14𝑥+7 26𝑥−1

8. A quadratic Equation is Shown 8. A quadratic Equation is Shown. 𝑦= 𝑥 2 +19𝑥−20 What are the roots of the equation?

9. What is the maximum y-value of 𝑦=− 𝑥 2 +2𝑥+2? 1 2 3

10. Consider the function 𝑓 𝑥 =3 𝑥 2 −6𝑥+5 Which of the following is a maximum or minimum of this function? Minimum of 2 at x=1 Maximum of 2 at x=1 Minimum of -4 at x=3 Maximum of -4 at x=3

11. A factorable quadratic function is shown 11. A factorable quadratic function is shown. 𝑓 𝑥 =6 𝑥 2 +21𝑥−12 What is the greatest zero of this function? 𝑥=−4 𝑥= 1 2 𝑥=1 𝑥=4

12. What is the sum of 5𝑥−4𝑦+9 and 2𝑦+7? 19𝑥𝑦 3𝑥𝑦+16 5𝑥−6𝑦+16 5𝑥−2𝑦+16

13. Subtract 10 𝑥 2 −8 from 16 𝑥 2 +2 6 𝑥 2 +10 6 𝑥 2 −6 −6 𝑥 2 −6 −6 𝑥 2 −10

14. Two Polynomials are shown 14. Two Polynomials are shown. Find the product of these polynomials 𝑥 2 +𝑥−3 and 3𝑥+8

15. A number, 𝑥, is multiplied by 4 15. A number, 𝑥, is multiplied by 4. Then 2 is added to the number to reach 10. Find the value of x. 𝑥= 1 2 𝑥=1 𝑥=2 𝑥=3

16. Silas joined a fitness center that charges a $120 membership fee to sign up in addition to a monthly fee. He paid of total of $660 for his first year. Which equation can be used to find Silas’s cost per month. 660=12𝑥 660= 120 12 𝑥 660=12𝑥+120 660=12𝑥−120

17. What are the solutions to the equation 𝑥 2 −5𝑥+4=−1? 𝑥=1 𝑜𝑟 4 𝑥= 5± 5 2 𝑥= 5± 13 2 𝑥=−5 𝑜𝑟 4

18. Factor 2 𝑥 2 +24𝑥+64 completely. 𝑥+4 2𝑥+16 2 𝑥+4 𝑥+8 2𝑥+8 𝑥+8 2(𝑥+2)(𝑥+16)

19. Which equation has two complex solutions? 𝑥 2 −4𝑥=−3 2 𝑥 2 −4𝑥+2=0 2 𝑥 2 −4𝑥+7=0 4 𝑥 2 +6𝑥+1=0

20. The length of a rectangular garden is 6 feet more than its width 20. The length of a rectangular garden is 6 feet more than its width. The area of the garden is 7 square feet. What is the length of the garden? 1 ft 6 ft 7 ft 13 ft

21. What are the zeros of 𝑦= 𝑥 2 +4𝑥−5? 𝑥=−1 𝑎𝑛𝑑 𝑥=−5 𝑥=−1 𝑎𝑛𝑑 𝑥=5 𝑥=1 𝑎𝑛𝑑 𝑥=−5 𝑥=1 𝑎𝑛𝑑 𝑥=5

22. At which points do 𝑦= 𝑥 2 −3 and 𝑦=2𝑥 intersect?

23. Find the product. (9𝑥−6)(6 𝑥 2 +2𝑥−3) 54 𝑥 3 −12𝑥−3 36 𝑥 3 −39𝑥+18 54 𝑥 3 −18 𝑥 2 −39𝑥+18 54 𝑥 3 +54 𝑥 2 −15𝑥−18

24. What are the factors of the expression 𝑥 2 +4𝑥−21? (𝑥−3) and (𝑥−7) (𝑥−3) and (𝑥+7) (𝑥+3) and (𝑥−7) (𝑥+3) and (𝑥+7)

25. What kinds of roots does this quadratic equation have Two real roots One real root Two imaginary roots One imaginary root

26. A jar contains 4 chocolate chip cookies, 3 sugar cookies, and 2 oatmeal raisin cookies. Annie picks a cookie from the jar at random. She puts the cookie back in the jar and picks another one. What is the probability that Anne picks a chocolate chip cookie the first time and a sugar cookie from the jar the second time?

27. What is the equation of the graph shown? 𝑦−1= 𝑥−3 2 𝑦+1= 𝑥−3 2 𝑦−1= 𝑥+3 2 𝑦+1= 𝑥+3 2

28. What is the product of (2−4𝑖)(3+𝑖)? 2−10𝑖 2+14𝑖 10−10𝑖 10+14𝑖

29. Which is equal to −36 ? 6 6𝑖 𝑖 6

30. Matt tosses a coin and rolls a six-sided number cube 30. Matt tosses a coin and rolls a six-sided number cube. What is the probability that the coin will land tails up and the cube will roll a 4? 1 12 1 6 1 2 2 3

31. A function 𝑓 is defined as 𝑓 𝑥 =2 𝑥 2 −𝑥+1 31. A function 𝑓 is defined as 𝑓 𝑥 =2 𝑥 2 −𝑥+1. Which value represents 𝑓(−1)? 2 4 6

32. Jake saves $186 to buy a new phone that costs $366 32. Jake saves $186 to buy a new phone that costs $366. He earns $6 an hour mowing lawns. How many more hours does Jake have to work in order to have the exact amount to buy the new phone? 30 31 61 92

33. What are the roots of 𝑥 2 −4𝑥+5? 1 and 3 3 and 5 2+i and 2-i 2+2i and 2-2i

34. What is the equation of a circle with a center at (1,3) and a radius of 2? 𝑥 2 + 𝑦 2 =4 𝑥 2 −1+ 𝑦 2 −3=4 𝑥−1 2 + 𝑦−3 2 =4 𝑥+1 2 + 𝑦+3 2 =4

35. Two cups are on a table. One is a cylinder with a radius of 2 in 35. Two cups are on a table. One is a cylinder with a radius of 2 in. and a height of 3 in. The other is a cone with a radius of 3 in. and a height of 4 in. Which cup can hold more juice? The cylinder holds more juice The cone holds more juice They hold the same amount of juice There is not enough information to decide.

36. Circle O is shown. Find x. 36 54 70 90

1.195𝜋 cubic inches 1.536𝜋 cubic inches 1.877𝜋 cubic inches 37. An ice cream cone is shown. The cone has a height of 4 in and a radius of 0.8 in. A spherical scoop of ice cream, also with a radius of 0.8 in., is placed on top of the cone with exactly half of the sphere outside the cone. 1.195𝜋 cubic inches 1.536𝜋 cubic inches 1.877𝜋 cubic inches 2.901𝜋 cubic inches

𝑥|0≤𝑥≤∞ 𝑥|0≤𝑥≤12 𝑥|0≤𝑥≤10 𝑥|6 2 3 ≤𝑥≤∞ 38. The trajectory of a ball tossed from a height of 6 2 3 feet is modeled by a function. The graph of the function is shown. How should the domain of the function be restricted, given the situation? 𝑥|0≤𝑥≤∞ 𝑥|0≤𝑥≤12 𝑥|0≤𝑥≤10 𝑥|6 2 3 ≤𝑥≤∞

39. Simplify the following expression. 3𝑖 10−6𝑖 +(7−3𝑖− −16 )

40. There are 350 students at Jiao’s school 40. There are 350 students at Jiao’s school. Jiao surveyed a random sample of 50 students and found that 32 students play a sport, 23 students play an instrument, and 13 students have an after-school job. Using Jiao’s data, estimate how many students at his school play an instrument. 224 161 91 23