Name: ______Date: ______
November Test Review
1. Construct a graph for the following story:
Jen is in the lobby of her apartment building waiting for a friend when she realizes she left her phone up in her room on the 4th floor. She walks to the elevator and then proceeds to take the elevator up to the 4th floor. She then goes to her apartment to get her phone and realizes that her friend texted her and said she is running late. In order to kill some time, she then walks to the stairwell on her floor and proceeds to walk down to the lobby. When she hits the 2nd floor, her mom texted her so she takes about 30 seconds to text her back. After completing her text, she then walks down to the lobby to meet her friend.
2. Construct a graph for the following story:
Weston is only 5 feet tall but needs to reach something on the top shelf of his kitchen cabinet. He is too lazy to go and get a chair so she tries to reach it by jumping. By the 4th jump he is able to reach it by adjusting the height of his jump each time.
3. Each year the local country club sponsors a golf tournament. The tournament starts with 128 participants. During each round of golf, half of the players are eliminated. How many players will remain after 5 rounds of golf? (Hint: Make a table)
4. Steve and Bill are neighbors and they both live on the same block on a hill. Steve’s house is located at the bottom of the hill and Bill house is located at the top of the hill, 9 feet high. Steve takes his dog out for a walk and starts walking up his block at a rate of 2 feet every second for the first 2 seconds. He then stops for a second to check his phone and continues to walk up his block at a rate of 1 foot every second. Bill wants to get to the end of the block to pick up his son. He starts at his house and walks to the end of his block at a rate of 1 foot every second.
a. Sketch the two graphs on the same set of elevation-versus-time axes to represent Steve’s and Bill’s motions.
b. At what time do Steve and Bill pass each other?
5. Draw a picture to represent the expression (2x + 3)(x2 + 5x – 10) and use the picture to evaluate.
6. Use the distributive property to evaluate the following expressions:
a. (x – 3)(x2 – 2x + 4) b. (x – 5)2
7. Use the abbreviations “C” for Commutative Property and “A” for Associative Property to complete the flow diagram
8. Evaluate the following for x = -2
a. 3x + 5 b. 5 – x c. 2x2 – 3x + 2
9. Find each sum or difference by combining the parts that are alike
a. (3x2 – 4x + 2) + (x2 + 3x – 7) b. (5x2 + 3x – 4) – (x2 + 4x – 7)
c. From (5x2 – 12x + 8) subtract (3x2 – 2x + 4) d. Subtract (6x2 – 3x – 1) from (-2x2 + 4x – 5)
10. Solve the following equations:
a. 3x – x + 15 = 41
b.
c.
d.
11. Describe the property used to convert the equation from one line to the next:
a. 8y – (8 + 6y) = 20
8y – 8 – 6y = 20 ______
8y – 6y – 8 = 20 ______
2y – 8 = 20 ______
2y = 28 ______
y = 14 ______
b. 13x + 8 + 8x = -9x – 22
13x + 8x + 8 = -9x – 22 ______
21x + 8 = -9x – 22 ______
30x + 8 = -22 ______
30x = -30 ______
x = -1 ______
12. Find the solution set to each inequality and graph on a number line.
a.
b. 3(2x + 4) 24 or 5 – 2x 11
c.
d. or 2(x – 6) > 8
e. -6 < 3x + 3 9
13. Identify the largest integer value for m that satisfies the inequality
14. Identify the smallest integer value for m that satisfies the inequality
15. A) Identify the value(s) that make the fraction undefined (aka the restrictions).
B) Solve for x.
a.
b.
c.
16. Solve for b: A = 17. Solve for y: xy + z = m
18. Solve for a: x = 2a – b 19. If 3ax + b = c, then x equals
20. Graph the following inequalities on the coordinate planes below
a. 6y 6x – 24 b. – y < x + 3
21. A) Graph the following systems of linear inequalities and label your solution set S.
B) Identify a point in the solution set.
a) b)
22. Solve the following systems graphically:
a) b)
23. Solve the following system of equations algebraically:
a. b.
24. Tickets for admission to “The Smithtown Lip Sync Battle” costs $5 if bought in advance and $10 if bought at the door. If a total of $1100 was collected from the sale of 170 tickets. How many tickets were sold in advance and how many were sold at the door?
25. Tickets for admission to a concert were $99 for adult tickets and $80 for child tickets. If the concert collected a total amount of $9,901 in ticket sales and 105 tickets were sold, how many tickets were purchased for adults and how many tickets were purchased for children?
26. The LIRR made a total amount of $1,398 for a day. There were 140 tickets sold. During peak time the tickets cost $12.50 and during off peak time the tickets cost $8.50. How many of each type of ticket were sold?
25. The school that Will goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
26. The senior classes at Kings Park High School and Commack High School planned separate trips to New York City. The senior class at Kings Park rented and filled 1 van and 6 buses with 372 students. Commack rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?