Name:________________________ Date: _________________________ Math 7, period ____
Practice Final Examination
1. A muffin recipe calls for 4 cups of sugar and yields 36 muffins. If Amelia only wants to make 24 muffins, how much sugar will she need?
2. If 40 out of a sample of 180 drivers prefer a standard transmission over automatic, about how many drivers prefer a standard transmission in a population of 900?
3. Gina can run 21 laps in 7 minutes. What is her average running rate in laps per minute?
4. Kevin can travel 22 ½ miles in 1
3 hour. What is his average speed in miles per hour?
5. What is the constant rate of change for the table below?
Number of Hours Worked Money Earned
2 10
4 20
6 30
8 40
7. A circular table has a diameter of 20 inches. What is the area of the table? Round to the nearest tenth.
8. What is the radius of a circle with a circumference of 10π inches?
9. A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking. Find the probability of choosing a red marble.
10. During lunch at Urbana Middle School today, several students have brought their lunch from home and several students are ordering a school lunch as shown in the table. Suppose one student is randomly selected during lunch time. Find the probability they order a school lunch.
Brought lunch from home 55
Order school lunch 45
6th graders 32
7th graders 35
8th graders 33
11.The spinners below are spun at the same time. Find P(4 and B).
12. Which of the following represent two dependent events?
c. Drawing a marble from a bag, replacing it, and drawing another marble. d. Rolling two number cubes.
13. You roll a die 90 times, how many times would you expect the die to come up as a multiple of 3?
14. What are the total number of outcomes of tossing a coin and rolling 3 number cubes?
15. Write the expression in simplest form: 5c – 3d – 12c + d.
16. What expression is equivalent to the algebraic expression: 8(2m + 1)?
17. Simplify the expression: (3x – 4) – (x – 5).
18. Solve the inequality. Graph it on a number line. -3x – 3 > 12.
19. Solve the following equation: 5k – 7 = -7.
21. Solve the following equation: 3 + 6x = -12
22.Solve the following equation: 4x – 5 = 9x + 10
23.Solve the following equation: 5(x – 3) - 2x = 27
24. Solve and graph the following inequality on a number line: 8w > 8.
25. What is the cost of 21 pounds?
Number of Pounds of Ham Cost
0 0
3 12
6 24
9 36
27. At a middle school, 38% of all seventh graders have taken swimming lessons. There are 250 students in the seventh grade. How many of them have taken swimming lessons?
28. A salesman needed to sell a four-wheeler. He priced it at $3500 the first day it was on the market. The second day, he reduced the price by 10%. What was the price after this reduction?
29. Cody has $700 in a savings account that pays 4% simple interest. What is the amount of simple interest he will earn in 2 years?
30.Last year, there were 43 science projects submitted by students at a science fair. This year, there are 52 science projects. To the nearest tenth, what is the percent of change in the number of science projects submitted?
31. What property is illustrated by the equation 5 + -5 = 0?
32. It was -12 degrees at 10 AM. By 2 PM, the temperature was 35 degrees. How much did the temperature rise?
34. How is the fraction 19
30 written as a decimal?
35. Put the following numbers in order from least to greatest: 58%, 0.62, 3150 .
36. Which of the following rational numbers is equivalent to a terminating decimal? a. 17
20
b. 1722 c. 1724 d. 17 26
37. To determine whether students will attend the spring craft fair, Andrea surveyed the art classes. This sample was:
a. Biased, convenience sample b. Biased, voluntary sample
c. Unbiased, simple random sample
38. Find the mean: The ages of the students in an art class: 23, 21, 19, 23, 24, 17, 15.
39. Find the mode: The ages of the students in an art class: 23, 21, 19, 23, 24, 17, 15.
41. Find the range: The ages of the students in an art class: 23, 21, 19, 23, 24, 17, 15.
Room 300
Room 320
43.What is the y-intercept of y + 6 = x – 5?
44. What is the value of the expression (-2)3?
45. What is the simplified form of the expression (2x3)(2x2)?
46. What is the solution of the systems of equations below? y = 2x
y = x – 2
48. Solve for y: 4x + 8y = 20
49. Is the point (1, 1) a solution of y = 2x?
50. Evaluate the expression below if a = -2 and b = 6: ab + 10
51. A taxi cab charges a flat rate of $1.50 and $0.25 a mile. You have $6.
Write and solve an equation to find out how many miles you can drive in the taxi.
52. A store buys an item wholesale for $40. They mark it up 75%. How much is the item sold for?
53. At 3 PM, the temperature is 19°. The temperature rises 2 degrees an hour for 3 hours and then falls 3 degrees an hour for 3 hours. What is the temperature at 9 PM?
Number of
Students 2 5 8 12
Cost ($) 15 37.50 60 90
a. What is the constant of proportionality?
b. Use the constant of proportionality to write an equation in y = kx form.
c. How much would it cost for 40 students to attend the trip?
