Midterm Review Packet

NAME: ______DATE: ______

MIDTERM REVIEW PACKET MATH 7 2012

Part I. Multiple Choice

Four students tossed a fair coin 40 times each. The results they tossed are recorded in the table shown.

Name Number of Heads Number of Tails Jenny 15 25 Chris 24 16 Sally 17 23 Lisa 22 18

1. Which student’s results are closest to the expected result for this experiment based on theoretical probability?

A) Jenny B) Chris C) Sally D) Lisa

2. Ella needs some batteries for her calculator. She saw a package of batteries on sale for 10% off of the regular price of $2.99. Which is closest to the sale price of the batteries before tax?

A) $2.89 B) $2.69 C)$0.30 D) $0.27

3. Simplify: 3 + 5(9 - 6)²

A) 576 B) 228 C) 72 D) 48

4. Paul flips a coin and rolls a number cube 1-6. What is the probability that he lands on heads and rolls a composite number?

A) 0.5 B) 0.167 C) 0.125 D) 0.25

5. Nina found that 26% of the 50 students she surveyed in her school own a skateboard. There are 300 students in her school. Which is closest to the number of students at her school Nina would expect to own a skateboard?

A) 15 B) 75 C) 150 D) 250

6.The Tigers soccer team has won 4 games, lost 2 games, and tied 2 games. The tigers will play 24 games this season. Based on the experimental probability, how many games do you expect the Tigers to win this season? 1 A) 4 B) 8 C) 12 D) 2 NAME: ______DATE: ______

7. Coach Wilson constructed a Venn diagram to show the number of eight-grade boys that play football, Basketball and hockey. Using the graph, determine how many more athletes play football than basketball.

Football Basketball 18 3 9

Hockey

A) 3 B) 4 C) 9 D) 12

10  6 8. What is the value of the expression:  4

A) –13 B) 0 C) 1 D) –1

9. Evaluate |x| - |y| when x = - 6 and y = - 1.

A) 7 B) – 7 C) – 5 D) 5

10. In seven plays the high school football team lost 3 yards, gained 7 yards, lost 2 yards, gained 4 yards, lost 3 yards, lost 1 yard, and gained 9 yards. What was the total loss or gain in yards in those seven plays?

A) 4 yard loss B) 2 yard loss C) 6 yard gain D) 11 yard gain

2 n 11. Solve = 8 9

A) 4 B) 36 C) 2 ¼ D) None of these

1 1 12. Selma planted of the garden, Jill planted of the garden, how much of the garden have they planted in all? 3 4

7 2 1 A) 1 B) C) D) 12 7 6 NAME: ______DATE: ______

13. A middle school is planning a basketball tournament. The following numbers of students signed up to participate.

 20 sixth graders  15 seventh graders  5 eighth graders

How many different three-person teams can be formed with one person per grade level on each team?

A. 20 B. 40 C. 150 D. 1500

14. Which list shows the numbers in order from least to greatest?

4 1 A) –3, , 70%, 8.2 B) , 0.26, 4, 145% 5 5

1 1 C) –2, , 0.36, 1.9% D) 0, 6.7%, , 3.01 9 6

15.Simplify:  4x 7 2x

A. 6x + 7 B. –6x2 + 7 C. –2x + 7 D. –28x + 8 x2

16.Which expression is equivalent to 3(2x – 1)?

A. 2x – 3 B. 5x C. 6x – 1 D. 6x – 3

17.Solve for x: 2x – 1 = - 11

A. x = - 6 B. x = 5 C. x = 6 D. x = - 5

18. A bicycle rental shop charges $5 per hour plus a fee of $10 each time you rent a bicycle. Which equation can you use to find the number of hours you can rent a bicycle if you spend $45?

A) 5h + 10 = 45 B) 10h + 5 = 45 C) 5 + h + 10 = 45 D) 45 = 5h – 10

19. A car travels 180 miles on 12 gallons of gas. How many gallons will it need to travel 240 miles?

A) 16 gallons B) 14 gallons C) 15 gallons D) 9 gallons NAME: ______DATE: ______

21. There are ten lockers available to be assigned to three students. How many different arrangements are possible?

A) 120 B) 720 C) 362800 D) 3628800

22. In Ms. Benson’s class, there are 20 students and 12 are boys. Write the ratio of boys to students in simplest form.

5 3 10 A) B) C) D) none of these 3 5 6

23. Coach Romano took his soccer team out for pizza following their victory over New Brunswick. Excluding tax and tip, the check totaled $138. Sales tax is 6%. If Coach Romano paid with nine twenty-dollar bills and received no change, how much did he leave as a tip?

A) $21.98 B) $33.72 C) $35.16 D) $42

24. Use the table below to find the percent of the students in this school that are girls. Round your answer to the nearest percent. 7th Grade 8th Grade Girls 210 267 Boys 308 243

A) 46% B) 50% C) 54% D) 477%

Part II. Constructed Response Questions Answer the questions below completely. You will be scored on the accuracy of your solution.

1. Mr. O’Donnell is buying his wife a bouquet of roses. There are seven different color roses for him to choose from. If he wants to have three different colors in the bouquet, how many different bouquets can he choose from?

2. Find the value of each expression below when a = 1, b = - 2 and c = 3.

a) -b – c

b) 2 (b + c) NAME: ______DATE: ______

3. Solve for x: 13x = - 39

4. Solve for x: 3x + 7 = - 32

x 5. Solve for x: - 5 + = 4 3

6. If a restaurant sells 3 different size drinks and they are: $0.89 for 9 ounces, $1.29 for 12 ounces, and $1.59 for 15 ounces, which one is the better buy?

7. There are 150 people in band. 24 new people join. What is the percent of change?

8. Farmer Bob has planted 78% of his corn crop. If his total crop consists of 12,000 acres, how many acres of corn does he have left to plant?

9. Charles wants to buy a sofa that costs $750. The sales clerk mentioned that with the purchase of any sofa today you save 30% off the original price. How much will Charles have to pay for the sofa? NAME: ______DATE: ______

10. Create a tree diagram to show the total number of outcomes if both spinners are spun. What is the probability that you will spin the spinners and get a product that is a positive number?

-1 -2 -2 4

-3 -4 6

11. If you create a garage door code with 5 numbers, how many possible arrangements are there if no number can be repeated?

12. Translate: The difference of a number and twelve is negative six.

Extended Constructed Response: Answer each part completely and explain.

1. Mary needs her car to be repaired. She must pay $78 for parts and $45 an hour for labor. Her bill comes to $168. a) What does the variable represent? b) Write and solve the equation.

WORK SPACE: NAME: ______DATE: ______

2. At the beginning of class, Ms. Ortiz placed 12 colored chips of the same size and shape in a bag. She had one student pull a chip out of the bag without looking, record the color of the chip in a table, and then return the chip to the bag. This process was repeated 48 times. a) Complete the table for each color of chip to show the experimental probability that the color of chip will be pulled on the next try. Write each probability as a fraction in simplest form.

Color Total Pulls Probability

Red 21

Yellow 11

Blue 16

1 b) Which color most likely represents of the chips in the bag? Explain your answer. 4

c) Based on the results shown in the table, what are most likely the numbers of red, yellow, and blue chips in the bag?

WORK SPACE:

3. What is the shortest path (in minutes) from home to school? Explain or show how you get your answer.