Math8Midterm Study Guide
Name:______/ Date:______1. Joyce needs to gather data that can be modeled with a linear function. Which situation would give Joyce the data she needs?
A. the area of a square and the length of its side
B. the area of a circle and the length of the its radius
C. the perimeter of a square and the length of its side
D. the volume of a cylinder and the length of its radius
2. At a concession stand, a hamburger is 25 cents more than twice the cost of a hotdog. If h represents the cost of a hamburger and d represents the cost of a hotdog, which expression represents the cost of the hamburger in relation to the cost of the hotdog?
A. d + 0.25
B. 2d
C. 2d - 0.25
D. 2d + 0.25
3. A jet ski rental company charges a $50 deposit and $30 for each hour on the jet ski. Mark has $140 dollars. Write an inequality that represents the maximum number of hours that Mark can ride the jet ski.
A. 80h140
B. 30h190
C. 50 + 30h140
D. 50 + 30h < 90
4. The volleyball team is having a carwash fundraiser. The cost of each carwash is $5. They are also selling season ticket packages to their upcoming volleyball season for $40 each. The goal of the team is to make at least $2000 from the combined totals of the two fundraisers. So far, the team has sold 41 season ticket packages.
How many cars must they wash in order to meet the team goal of $2000?
A. 728 cars.
B. 328 cars.
C. 72 cars.
D. 47 cars.
5. When graphed, which situation's data would be linear?
A. The temperature of the roof of a house every hour for 24 hours.
B. A person's body temperature every hour for a year.
C. The temperature of water rising 3°F every hour.
D. The daily temperature of a city for a year.
6. Jane charges $15 for each lawn she mows plus $5 per hour she works. Which graph models how much Jane charges for any one lawn?
A. B.
C. D.
7. 3, 5, 7, 9, 11, 13,...
The arithmetic sequence represents the values from x = 1 through x = 6. Which linear function matches this sequence?
A. y = 2x + 1
B. y = 3x
C. y = x + 2
D. y = 3x - 2
8. China has a population of approximately 1.3 x 109 people. The United states has a population of approximately 3 x 108 people. How many more people live in China than in the United States?
A. 107 people
B. 108 people
C. 109 people
D. 1010 people
9. A water tower holds 2,340,000 gallons of water. Express this number in correct scientific notation.
A. 2.34 × 10-6
B. 23.4 × 105
C. 2.34 × 106
D. 2.34 × 107
10. Joanne has 2a3 number of animals. Ronnie has 3a3 number of animals. Odessa has a4 number of animals. How many animals do Joanne, Ronnie, and Odessa have altogether?
A. 5a10
B. 6a10
C. 5a3 + a4
D. 6a3 + a4
11. On a test, Cody loses 2 points for every incorrect answer. He gains 1 point for every correct answer. Which graph BEST represents all possible combinations of incorrect answers (x) and correct answers (y) if Cody's total score is 3?
12. Sophia has 8 books in her locker. All the books are either school books or personal books. She has three times as many school books than personal books. How many school books does Sophia have in her locker?
A. 2
B. 3
C. 6
D. 7
*13.
Which equation is true for all pairs of values in the table?
A.
B.
C.
D.
*14. The table shows the relationship between j, Jerry's age and t, Tara's age.
Which of the following describes the relationship?
A. t = j + 6
B. t = 2j +1
C. t = 2j + 2
D. t = 6j
*15. Which graph best represents the equation of the line with slope of 1 and y-intercept of –3?
A. B.
C. D.
*16.
The line shown contains (–1, 2) and (1, –1). What is the slope of the line?
A.
B.
C.
D.
*17. What is the slope of the line
A.
B.
C.
D.
*18.
What is the solution to the system of equations shown above?
A. x = 6, y = 1
B. x = 4, y = 3
C. x = 1, y = 6
D. x = –1, y = 7
*19. The Arcadia Theater charges $4 for adult tickets and $3 for student tickets. Mr. Steele purchased 9 tickets (some student and some adult) for $31. Which system of equations could be used to find a, the number of adult tickets, and s, the number of student tickets Mr. Steele purchased?
A.
B.
C.
D.
*20. What is the solution to the inequality shown below?
A.
B.
C.
D.
*21. The speed of sound in water is meters per second. The speed of sound in air is meters per second. How much faster does sound travel in water than in air?
A.
B.
C.
D.
*22. The table gives the average per capita income, d, in a region of the country as a function of the percent unemployed, u.
Which equation represents this data algebraically?
A. d = 20,000 + 1,000u
B. d = 22,000 + 500u
C. d = 23,000 - 500u
D. d = 25,000 - 1,500u
*23. Which of the following best represents? A number between —
A. 3 and 4
B. 6 and 7
C. 7 and 8
D. 8 and 10
*24. What is the solution to 4(2x – 3) = 2(3x + 1)?
A. –5
B. 1
C. 7
D. 10
*25. What is the solution to
A.
B.
C.
D.
*26. Which is equivalent to
A.
B.
C.
D.
*27. A windlass is used to pull a boat to the dock. The rope is attached to the boat at a point 7 feet below the level of the windlass.What is the distance from the boat to the dock when the rope is 25 feet?A. 25 ft B. 24 ft C. 18 ft D. 7 ft
*28. Chris put $1,500 in a savings account at an annual interest rate of 5%. If Chris does not deposit or withdraw any money, what is the amount of interest Chris will earn the first year her money is in the savings account?
A. $750
B. $500
C. $75
D. $50
*29. Daphne wrote the fractional part of the quizzes she answered correctly.
Which lists these quiz scores in order from least to greatest?
A.
B.
C.
D.
*30. The difference in cost between a large bag of chips and a small bag of chips was 90. Alicia bought 5 large bags and 3 small bags of chips for her party and spent $17.22. What was the cost of a small bag of chips?
A. $5.74
B. $2.49
C. $2.15
D. $1.59
*31. Katie is going to carpet her living room floor and drew the diagram shown.
\\
What is the minimum number of square feet of carpet she will need?
A. 51 sq ft
B. 60 sq ft
C. 194 sq ft
D. 244 sq ft
*32. Which is equivalent to the expression shown below?
A.
B.
C.
D.
*Permission has been granted for reproduction by the Virginia Department of Education
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